ps_wallace.ps (343299B)
1 %!PS-Adobe-2.1 2 %%Creator: DECwrite V1.1 3 %%+Copyright (c) 1990 DIGITAL EQUIPMENT CORPORATION. 4 %%+All Rights Reserved. 5 %%DocumentFonts: (atend) 6 %%EndComments 7 %%BeginProcSet DEC_WRITE 1.06 8 % Date: Tue, 17 Dec 91 14:49:50 PST 9 % Subject: PS preprint of JPEG article submitted to IEEE Trans on Consum. Elect 10 % From: Greg Wallace 11 % Mods by Tom Lane 18-Dec-91 to avoid use of nonstandard fonts: 12 % Replaced Souvenir-Demi with Helvetica-Bold 13 % Replaced Souvenir-Light with Helvetica 14 % Deleted gratuitous use of AvantGarde for spacing 15 /DEC_WRITE_dict 150 dict def DEC_WRITE_dict begin/$D save def/$I 0 def/$S 0 16 def/$C matrix def/$R matrix def/$L matrix def/$E matrix def/pat1{/px exch 17 def/pa 8 array def 0 1 7{/py exch def/pw 4 string def 0 1 3{pw exch px py 1 18 getinterval putinterval}for pa py pw put}for}def/pat2{/pi exch def/cflag 19 exch def save cflag 1 eq{eoclip}{clip}ifelse newpath{clippath 20 pathbbox}stopped not{/ph exch def/pw exch def/py exch def/px exch def/px px 21 3072 div floor 3072 mul def/py py 3072 div floor 3072 mul def px py 22 translate/pw pw px sub 3072 div floor 1 add cvi def/ph ph py sub 3072 div 23 floor 1 add cvi def pw 3072 mul ph 3072 mul scale/pw pw 32 mul def/ph ph 32 24 mul def/px 0 def/py 0 def pw ph pi[pw 0 0 ph 0 0]{pa py get/px px 32 add 25 def px pw ge{/px 0 def/py py 1 add 8 mod def}if}pi type/booleantype 26 eq{imagemask}{image}ifelse}if restore}def/PS{/_op exch def/_np 8 string def 27 0 1 7{/_ii exch def/num _op _ii get def _np 7 _ii sub num -4 bitshift PX 28 num 15 and 4 bitshift -4 bitshift PX 4 bitshift or put}for _np}def/PX{[15 7 29 11 3 13 5 9 1 14 6 10 2 12 4 8 0]exch get}def/FR{0.7200 0 $E defaultmatrix 30 dtransform/yres exch def/xres exch def xres dup mul yres dup mul add 31 sqrt}def/SU{/_sf exch def/_sa exch def/_cs exch def/_mm $C currentmatrix 32 def/rm _sa $R rotate def/sm _cs dup $L scale def sm rm _mm _mm concatmatrix 33 _mm concatmatrix pop 1 0 _mm dtransform/y1 exch def/x1 exch def/_vl x1 dup 34 mul y1 dup mul add sqrt def/_fq FR _vl div def/_na y1 x1 atan def _mm 2 get 35 _mm 1 get mul _mm 0 get _mm 3 get mul sub 0 gt{{neg}/_sf load 36 concatprocs/_sf exch def}if _fq _na/_sf load setscreen}def/BO{/_yb exch 37 def/_xb exch def/_bv _bs _yb _bw mul _xb 8 idiv add get def/_mk 1 7 _xb 8 38 mod sub bitshift def _bv _mk and 0 ne $I 1 eq xor}def/BF{DEC_WRITE_dict 39 begin/_yy exch def/_xx exch def/_xi _xx 1 add 2 div _bp mul cvi def/_yi _yy 40 1 add 2 div _bp mul cvi def _xi _yi BO{/_nb _nb 1 add def 1}{/_fb _fb 1 add 41 def 0}ifelse end}def/setpattern{/_cz exch def/_bw exch def/_bp exch def/_bs 42 exch PS def/_nb 0 def/_fb 0 def _cz 0/BF load SU{}settransfer _fb _fb _nb 43 add div setgray/$S 1 def}def/invertpattern{$S 0 eq{{1 exch 44 sub}currenttransfer concatprocs settransfer}if}def/invertscreen{/$I 1 45 def/$S 0 def}def/revertscreen{/$I 0 def}def/setrect{/$h exch def/$w exch 46 def/$y exch def/$x exch def newpath $x $y moveto $w $x add $y lineto $w $x 47 add $h $y add lineto $x $h $y add lineto closepath}def/concatprocs{/_p2 48 exch cvlit def/_p1 exch cvlit def/_pn _p1 length _p2 length add array def 49 _pn 0 _p1 putinterval _pn _p1 length _p2 putinterval _pn 50 cvx}def/OF/findfont load def/findfont{dup DEC_WRITE_dict exch 51 known{DEC_WRITE_dict exch get}if DEC_WRITE_dict/OF get exec}def 52 mark/ISOLatin1Encoding 53 8#000 1 8#001{StandardEncoding exch get}for /emdash/endash 54 8#004 1 8#025{StandardEncoding exch get}for /quotedblleft/quotedblright 55 8#030 1 8#054{StandardEncoding exch get}for /minus 8#056 1 8#217 56 {StandardEncoding exch get}for/dotlessi 8#301 1 8#317{StandardEncoding 57 exch get}for/space/exclamdown/cent/sterling/currency/yen/brokenbar/section 58 /dieresis/copyright/ordfeminine/guillemotleft/logicalnot/hyphen/registered 59 /macron/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph 60 /periodcentered/cedilla/onesuperior/ordmasculine/guillemotright/onequarter 61 /onehalf/threequarters/questiondown/Agrave/Aacute/Acircumflex/Atilde 62 /Adieresis/Aring/AE/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave 63 /Iacute/Icircumflex/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde 64 /Odieresis/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn 65 /germandbls/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla 66 /egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis 67 /eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide/oslash/ugrave 68 /uacute/ucircumflex/udieresis/yacute/thorn/ydieresis 69 256 array astore def cleartomark 70 /encodefont{findfont dup maxlength dict begin{1 index/FID ne{def}{pop 71 pop}ifelse}forall/Encoding exch def dup/FontName exch def currentdict 72 definefont end}def/loads{/$/ISOLatin1Encoding load def/&/encodefont load 73 def/*/invertpattern load def/+/revertscreen load def/-/invertscreen load 74 def/:/concatprocs load def/^/setpattern load def/~/pat1 load def/_/pat2 75 load def/@/setrect load def/A/arcn load def/B/ashow load def/C/curveto load 76 def/D/def load def/E/eofill load def/F/findfont load def/G/setgray load 77 def/H/closepath load def/I/clip load def/K/kshow load def/L/lineto load 78 def/M/moveto load def/N/newpath load def/O/rotate load def/P/pop load 79 def/R/grestore load def/S/gsave load def/T/translate load def/U/sub load 80 def/V/div load def/W/widthshow load def/X/exch load def/Y/awidthshow load 81 def/a/save load def/c/setlinecap load def/d/setdash load def/e/restore load 82 def/f/setfont load def/g/initclip load def/h/show load def/i/setmiterlimit 83 load def/j/setlinejoin load def/k/stroke load def/l/rlineto load 84 def/m/rmoveto load def/n/currentfont load def/o/scalefont load 85 def/p/currentpoint load def/r/currenttransfer load def/s/scale load 86 def/t/setmatrix load def/u/settransfer load def/w/setlinewidth load 87 def/x/matrix load def/y/currentmatrix load def}def 88 end 89 %%EndProcSet 90 %%EndProlog 91 92 %%BeginSetup 93 94 %%BeginFont: Dutch801-Roman-DECmath_Extension 95 % Bitstream Fontware PSO Font -- Version 1.6 96 % DECmath Font Version 1.0, 4-13-89 97 % 98 % Copyright 1989 by Bitstream, Inc. All Rights Reserved. 99 % Copyright 1989 Digital Equipment Corporation 100 % 101 % This product is the sole property of Bitstream Inc. and 102 % contains its proprietary and confidential information 103 104 % U.S Government Restricted Rights 105 % This software product is provided with RESTRICTED RIGHTS. Use, 106 % duplication or disclosure by the Government is subject to 107 % restrictions as set forth in FAR 52.227-19(c)(2) (June, 1987) 108 % when applicable or the applicable provisions of DOD FAR supplement 109 % 252.227-7013 subdivision (b)(3)(ii) (May,1981) or subdivision 110 % (c)(1)(ii) (May, 1987). Contractor/manufacturer is Bitstream Inc. 111 % /215 First Street/Cambridge, MA 02142. 112 % 113 % This software is furnished under a license and may be used and copied 114 % only in accordance with the terms of such license and with the 115 % inclusion of the above copyright notices. This software or any other 116 % copies thereof may not be provided or otherwise made available to any 117 % other person. No title to and ownership of the software is hereby 118 % transfered. 119 % 120 % The information in this software is subject to change without notice 121 % and should not be construed as a commitment by Digital Equipment 122 % Corporation. 123 % 124 % BITSTREAM, INC. AND DIGITAL EQUIPMENT CORPORATION DISCLAIM ALL 125 % WARRANTIES WITH REGARD TO THIS SOFTWARE, INCLUDING ALL IMPLIED 126 % WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL 127 % BITSTREAM, INC. AND DIGITAL EQUIPMENT CORPORATION BE LIABLE FOR ANY 128 % SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER 129 % RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF 130 % CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN 131 % CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 132 % 133 /n_chars 128 def 134 /DC 135 { 136 /bits exch def 137 /name exch def 138 /num exch def 139 num 256 lt {Encoding num name put} if 140 CharStrings name bits put 141 } bind def 142 /bsd 15 dict def 143 bsd begin 144 /FontType 3 def 145 /FontName /Dutch801-Roman-DECmath_Extension def 146 /PaintType 0 def 147 /UniqueID 440185 def 148 /FontMatrix [.001 0 0 .001 0 0] def 149 /FontInfo 12 dict def 150 /CharStrings 1 n_chars add dict def 151 CharStrings /.notdef <0F> put 152 /Encoding 256 array def 153 0 1 255 {Encoding exch /.notdef put} for 154 /temp 15 dict def 155 temp begin 156 /get-word 157 { 158 0 s i get add 8 bitshift 159 /i i 1 add def 160 s i get add 32768 sub 161 /i i 1 add def 162 } bind def 163 /get-byte 164 { 165 s i get 128 sub 166 /i i 1 add def 167 } bind def 168 /get-name 169 { 170 /len s i get def 171 /i i 1 add def 172 s i len getinterval 173 /i i len add def 174 } bind def 175 /eval-arr 16 array def 176 eval-arr 16#00 {get-word 0} bind put 177 eval-arr 16#01 {4 {get-word} repeat setcachedevice newpath} bind put 178 eval-arr 16#02 {closepath 2 {get-word} repeat moveto} bind put 179 eval-arr 16#03 {2 {get-word} repeat lineto} bind put 180 eval-arr 16#04 {6 {get-word} repeat curveto} bind put 181 eval-arr 16#05 {4 {get-word} repeat get-name do-char} bind put 182 eval-arr 16#06 {0 get-word rlineto} bind put 183 eval-arr 16#07 {get-word 0 rlineto} bind put 184 eval-arr 16#08 {0 get-byte rlineto} bind put 185 eval-arr 16#09 {get-byte 0 rlineto} bind put 186 eval-arr 16#0A {2 {get-byte} repeat rlineto} bind put 187 eval-arr 16#0B {6 {get-byte} repeat rcurveto} bind put 188 eval-arr 16#0F {end PaintType 2 eq 189 {temp begin stroke exit} 190 {temp begin fill exit} 191 ifelse } bind put 192 /do-char-arr 16 array def 193 do-char-arr 16#00 {get-word pop} bind put 194 do-char-arr 16#01 {4 {get-word pop} repeat} bind put 195 do-char-arr 16#02 {closepath 2 {get-word} repeat moveto} bind put 196 do-char-arr 16#03 {2 {get-word} repeat lineto} bind put 197 do-char-arr 16#04 {6 {get-word} repeat curveto} bind put 198 do-char-arr 16#05 {4 {get-word} repeat get-name do-char} bind put 199 do-char-arr 16#06 {0 get-word rlineto} bind put 200 do-char-arr 16#07 {get-word 0 rlineto} bind put 201 do-char-arr 16#08 {0 get-byte rlineto} bind put 202 do-char-arr 16#09 {get-byte 0 rlineto} bind put 203 do-char-arr 16#0A {2 {get-byte} repeat rlineto} bind put 204 do-char-arr 16#0B {6 {get-byte} repeat rcurveto} bind put 205 do-char-arr 16#0F {closepath exit} bind put 206 /eval 207 { 208 /s exch def 209 /i 0 def 210 { 211 /t s i get def 212 /i i 1 add def 213 eval-arr t get exec 214 } loop 215 } bind def 216 /do-char 217 { 218 t s i matrix currentmatrix 219 2 {6 index} repeat translate 220 2 {8 index 256 div} repeat scale 221 end CharStrings 5 index get 222 temp begin /s exch def 223 /i 0 def 224 { 225 /t s i get def 226 /i i 1 add def 227 do-char-arr t get exec 228 } loop 229 setmatrix 230 [/i /s /t] {exch def} forall 231 5 {pop} repeat 232 } bind def 233 end 234 /BuildChar 235 { 236 exch begin 237 0.2 setflat 238 Encoding exch get 239 CharStrings exch 240 2 copy known not { pop /space } if get 241 temp begin eval end 242 end 243 } bind def 244 FontInfo /version (Fontware-PSO 1.6) put 245 FontInfo /OutlineResolution 1000 put 246 FontInfo /Copyright (Copyright 1989 by Bitstream,Inc. and Digital Equipment Corp. All Rights Reserved.) put 247 FontInfo /Notice (Dutch 801 is a registered trademark of Bitstream, Inc.) put 248 FontInfo /Date (1989/4/13 12:28:18) put 249 FontInfo /FullName (Dutch 801 Roman DECmath_Extension (TM)) put 250 FontInfo /FamilyName (Dutch 801) put 251 FontInfo /Weight (Medium) put 252 FontInfo /ItalicAngle 0.00 put 253 FontInfo /isFixedPitch false put 254 FontInfo /UnderlinePosition -100 put 255 FontInfo /UnderlineThickness 60 put 256 32 /parenlfs4 <0083180180e27480830280290282cd802a04822b7f7981b47ebd81667dd604 257 81097cc380e37b7780e37a560480e37934810977e8816676d50481b875e48226753882cd 258 748109b5048270752e821775c381cd769f04816677cf813f7915813f7a5604813f7b968166 259 7cdc81cd7e0d0482147ee182747f828302802a094b0F> DC 260 33 /parenrts4 <008318018015748082348029028015802a0480a37f8381047edf814b7e0d04 261 81b27cdc81d87b9681d87a560481d8791581b277cf814b769f04810075c280a8752f8015 262 748109b60480f27539815f75e381b176d504820e77e78235793582357a560482357b76820e 263 7cc481b17dd60481617ec280ef7f76804b802a094a0F> DC 264 34 /bracketlfs4 <008247018115748082398029028116802a06745707812308c0077f1e068b2907 265 80e208c0077edd0F> DC 266 35 /bracketrts4 <00824701800d74808131802902800e802a08400780e30674d7077f1d084007 267 8124068ba9077edc0F> DC 268 36 /bracketlfbts4 <00827f018115748082718033028116803306744e07815b08c0077ee6068b7209 269 3f0F> DC 270 37 /bracketrtbts4 <00827f01800d748081698033028128803306748e077ee6084007815b068bb209 271 3f0F> DC 272 38 /bracketlftps4 <00827f018115747782718029028116802a06744d09c1068b7307811a08c007 273 7ea50F> DC 274 39 /bracketrttps4 <00827f01800d74778169802902800e802a084007811a06748d09c1068bb307 275 7ea50F> DC 276 40 /bracelfs4 <0083410180b0748082bd8029028289802a0481df7fdf81857f5681857e9906 277 7d4d0481857b9981787b4a81547b0604812d7abd80f57a8f80b07a66085f04814779eb8185 278 7974818578c5067d4a04818575a481a7753e81ee74ed04821c74b9824b749c8289748109b4 279 08a004821b74e981e6756881e6761206828e0481e6797e81a379e180ef7a560481a57acc 280 81e67b2a81e67c0b06828e0481e67f41821d7fc382bd800908a1094c0F> DC 281 41 /bracerts4 <008341018083748082918029028084802a085f0481257fc3815b7f42815b7e99 282 067d7204815b7b2a819d7acc82527a5604819f79e1815b797d815b78a0067d7204815b7568 283 812674e9808474a1086009b40480f6749c812674b9815474ed04819b753e81bc75a381bc 284 760f0682b60481bc797481fb79eb82917a4508a10481f87ac281bc7b3381bc7be60682b304 285 81bc7f5681627fdf80b8802a094c0F> DC 286 42 /anglelfs4 <00832601808a748082bc8029028284802a03808b7a56038284748109b80380c2 287 7a560382bc802a09480F> DC 288 43 /anglerts4 <0083260180697480829a80290280a1802a09490382637a5603806a748109b703 289 829b7a560380a1802a0F> DC 290 44 /slashs4 <0084fe01802e748084cf8029028498802a03802e748109b80384cf802a0949 291 0F> DC 292 45 /backslashs4 <0084fe01802e748084cf802902802e802a038498748109b7038066802a0948 293 0F> DC 294 46 /slash <00832b018025792a830580290282cc802a038026792b09b9038305802a0947 295 0F> DC 296 47 /backslash <00832b018025792a8305802902805f802a09470382cc792b09b903805f802a 297 0F> DC 298 48 /parenlefttp <00836b01812d79218341802902830f802a0481917e25812e7c06812e798c0816 299 09e208e60481907aea81a47c4282077d990482507e9482b27f578342802a094d0F> DC 300 49 /parenrighttp <00836b0180287921823c8029028028802a0480b97f55811a7e9581637d9904 301 81c67c4281da7aea81da7988081a09e208ea04823c7c0481d87e26805b802a094d0F> DC 302 50 /bracketlefttp <00829b0181427921828f8029028142802a0678f809c10686c807810d08c007 303 7eb20F> DC 304 51 /bracketrighttp <00829b01800a79218158802902800b802a084007810d06793809c006870807 305 7eb30F> DC 306 52 /bracketleftbt <00829b018142792a828f803302814280330678f807814e08c1077ef30686c709 307 3f0F> DC 308 53 /bracketrightbt <00829b01800a792a815880330281188033067939077ef3083f07814d06870809 309 400F> DC 310 54 /bracketleftex <00829b0181427d6a818380330281428033067d3809c10682c8093f0F> DC 311 55 /bracketrightex <00829b0181177d6a815880330281188033067d3809c00682c809400F> DC 312 56 /bracelefttp <0083790181867c7082d4800002829d80000481da7f6381867f1581877e0c06 313 7e6509ea0681a40481f17ef082317f5382d47fd808a809490F> DC 314 57 /bracerighttp <0083790180a37c7081f180000280a4800008580481497f5181867ef281877e15 315 067e5c09ea06819b0481f17f15819e7f6380db800009490F> DC 316 58 /braceleftbt <0083790181867c7a82d480090281878009067e660481867d6681da7d18829d 317 7c7a09b708a904822e7d2a81f17d8781f17e660681a309160F> DC 318 59 /bracerightbt <0083790180a37c7a81f180090281878009067e5d0481867d8881497d2a80a4 319 7ca3085709b704819f7d1a81f17d6481f17e6f06819a09160F> DC 320 60 /braceleftmid <0083790180a3790a81f180090281878009067e540481867d7e814a7d2280a4 321 7c9a08610481497bf481867b9581877ab8067e5309ea06819b0481f17ba281a87bf580ec 322 7c8a0481a97d2181f17d7181f17e6f06819a09160F> DC 323 61 /bracerightmid <008379018186790a82d480090281878009067e660481867d7381d07d20828c 324 7c8a0481d07bf681867ba181877aa6067e6509ea0681ad0481f17b9382317bf682d47c7b08 325 9f04822e7d2181f17d7e81f17e5d0681ac09160F> DC 326 62 /braceex <0083790181867ed381f180090281878009067ecb09ea06813509160F> DC 327 63 /arrowvertex <00829b0181367d9d816480000281368000067d9e09ae06826209520F> DC 328 64 /parenleftbtex <00836b01812d792a8341803302812e8033081604812e7e61814d7cfd81c27ba5 329 0482167aae827779f9830f792b09b30482ae7a0482527aba82077bbd0481a37d1781907e68 330 81907fce08e5091e0F> DC 331 65 /parenrightbtex <00836b018028792a823c80330281da8033081b0481da7e6b81c67d1381637bbd 332 0481187ab980bc7a058028792b09b30480f379f981547aae81a87ba504821c7cfb823c7e62 333 823c7fc908ea091e0F> DC 334 66 /parenleftex <00836b01812d7d6a8190803302812e8033067d3809e20682c8091e0F> DC 335 67 /parenrightex <00836b0181d97d6a823c80330281da8033067d3809e20682c8091e0F> DC 336 68 /angleleft <0082ee01808a76d582798029028241802a03808b7b8003824176d609b80380c3 337 7b80038279802a09480F> DC 338 69 /angleright <0082ee01807476d5826380290280ad802a094803822b7b8003807576d609b803 339 82637b800380ad802a0F> DC 340 70 /unionsqr <0083410180377c1f83097ffa0280787fd90B80aa3faa4080067c670B7f688660 341 a0600782910B9380a18da1a00683990B7faa3faa3f80067c88077daf0683780F> DC 342 71 /unionsqrdsp <0084570180377a94841f800002808b7fd70B80b52cb52d80067aea0B805f8954 343 ac5407838f0B9b80ad92adac0685160B80b52bb52c80067b10077cbf0684f00F> DC 344 72 /integralcon <0081d80180387ba8826c800002822f7fd20B5a705736832d0Bb773c9b1acd604 345 823a800381f4800d81c17ff204815b7fbb81537ef681467e9004807e7e7680607d6a8122 346 7d2004811e7ced81197cbb81137c8804810d7c52810d7c0d80e77be10B625d2f500c710B9b 347 95acc387d60B5c923972404e0480457bb5808b7ba180c47bac0481567bc9815f7ca1816e 348 7d1704823e7d3182597e4681937e8a04819a7ed1819f7f1881a67f5f0B84a68adaa7f60B9e 349 9ec89de27d0281417e620481387e06812e7daa81277d4d0480a27d8a80b37e3f81417e6202 350 818f7e5c04821b7e2382097d6781737d4504817e7da281877dff818f7e5c0F> DC 351 73 /integralcondsp <00822c018045774983b8800a0283787fdc0B4f774c3c6d280Ba768e385cfcd04 352 83a18017832e801d83007fe50482977f6982387d7182147cba0481967cba812e7c6b810b 353 7bef0480f57ba181087b5081347b0e0481577ada817b7ac381b37aad0481967a0f814f781e 354 8101779d0B685737300a550Ba798a6c88adc0B569e19713b2d0B8d66ab5ac6530Ba277c47e 355 e19104814c7796817378028190785e0481ca791881ec79d982127a980Ba683c989ec9804 356 82c97ad183057b12831a7b6204832f7bae83217c0282f57c440B60b034cd02e60482967d55 357 82b37e0082d57eab0482e37eef83047f90831d7fca0B8fa3c5b9db9202820d7c8f0481f1 358 7bfb81d67b6881bb7ad50480cc7b3781207c96820d7c8f02826d7c7d0483517c1583147ad7 359 821a7ac20482367b5682527be9826d7c7d0F> DC 360 74 /circledot <0084570180377c18841f800002822c800004811b800080387f1e80387e0d04 361 80377cff811e7c19822c7c1904833d7c1984207cfb84207e0d04841f7f2183408000822c 362 800002822c7fc004831a7fc083de7efb83df7e0d0483df7d1f831a7c5a822c7c5a048142 363 7c5a80787d2380787e0d0480787ef981407fc0822c7fc002822c7e520481d17e5281d27dc8 364 822c7dc80482867dc882877e53822c7e520F> DC 365 75 /circledotdsp <0085ea0180367a8585b280000282f58000048175800080377ec080377d4304 366 80377bc9817c7a8682f57a850484757a8685b37bc285b27d430485b27ec58479800082f5 367 80000282f57fb204844e7fb285637e9b85637d430485637beb844b7ad582f57ad40481a5 368 7ad580877bf380867d430480867e9781a27fb282f57fb20282f47d9f0B5080255525240B81 369 51ad25db250Bb180dcabdcdb0B81b257dc24dc0F> DC 370 76 /circleplus <0084570180377c18841f800002822c800004811a800080377f2080387e0d04 371 80387cfe811d7c19822c7c190483407c19841f7cfa84207e0d0484207f2383428001822c 372 800002820b7fbe067e6f077e6d04808c7e9880a97ef280f97f420481447f8c81a37fb5820b 373 7fbe02824c7fbe0482b47fb583137f8c835e7f420483b07ef083ca7e9983df7e2d077e6d06 374 81910280787ded078193067e6f0481a07c6681477c8b80f97cd80480a67d2b808d7d808078 375 7ded02824c7ded0781930483ca7d8083b17d2b835e7cd80483117c8b82b67c66824c7c5c06 376 81910F> DC 377 77 /circleplusdsp <0085ea0180367a8585b280000282f4800004823c800081897fb981077f3604 378 80857eb480377dfb80377d430480387bc781787a8782f47a860484757a8585b27bbf85b2 379 7d430485b37eca847b800182f480000282ce7fb0067dbb077db60480a27e0880c77e88813e 380 7efe0481ab7f6a82377fa582ce7fb002831c7fb00483b37fa5843f7f6a84ab7efe048522 381 7e8785477e0885657d6b077db70682450280847d1d07824a067dbb0482317ae681b17b18 382 813e7b8a0480c67c0280a27c7f80847d1d02831c7d1d0782490485477c7e85257c0484ab 383 7b8a0484377b1783ba7ae7831c7ad80682450F> DC 384 78 /circlemultiply <0084570180377c19841f800002822c8000048119800080377f2080387e0d04 385 80387cf781167c1b822c7c1904833c7c19841f7cfd841f7e0d04841f7f1b833a8001822c 386 80000283457f5603822a7e3b03810d7f580481647f9381be7fc0822b7fc00482957fc082f5 387 7f9883457f560280e07f2a0381fc7e0d0380e17cf204809e7d4380777da080777e0c048077 388 7e7c80a37ed180e07f2a0283727f280483b57ed883dc7e7983dc7e0f0483dc7d9883b27d4e 389 83747cf10382577e0d0383727f2802822a7de00383467cc30482e97c8482a07c5b82287c5b 390 0481ba7c5b81627c80810f7cc503822a7de00F> DC 391 79 /circlemultdsp <0085ea01803a7a8685b580000282f880000481768000803b7ec6803b7d4504 392 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489 105 /bracketrts2 <0081d8018012792a80fa8029028013802a08490780af067970077f51084807 490 80e70686ff077f190F> DC 491 106 /bracketlfbts2 <0082100180de792a81fd80330280de80330678f807811f08b8077f190686d009 492 480F> DC 493 107 /bracketrtbts2 <008210018012792a813180330280fa8033067930077f19084807811f06870809 494 480F> DC 495 108 /bracketlftps2 <0082100180de792181fd80290280de802a0678f809b80686d10780e708b707 496 7ee10F> DC 497 109 /bracketrttps2 <008210018012792181318029028013802a08490780e706792f09b806870807 498 7ee10F> DC 499 110 /bracelfs2 <00829b018075792a8234802902820d802a0481d28019819a8005816c7fdc04 500 81307fa681287f7681287f2a067e780481287d1880e87cf180757cb908640480e87c658128 501 7c3c81287bb4067e7804812879d7813179a88178796f0B9a6bb85bd7500Ba871bc6ce66c08 502 9e0481b27969817279a481727a330681670481727be6816b7c1d81357c570B5da532bd06d4 503 0Bac97d7aefad304816b7d3881727d6f81727dbc0681660481727fb081b37fed8235800c08 504 9e09580F> DC 505 111 /bracerts2 <00829b018065792a82258029028066802a08620480e87fed81287fb081287f22 506 067e9a0481287d70812f7d3881667cfe0Ba25bce43fa2d0B54692851062c04812f7c1e8128 507 7be681287b9a067e9904812879a480e979698066794908620B8d809a80a8800B9285a38bb5 508 910B9e89b998d3aa048167799f817279d081727a2c0681880481727c3b81b47c6682267c9d 509 089c0481b27cf181727d1981727da20681880481727f7e81697fae81237fe60480ee8010 510 80a9802a8066802a0F> DC 511 112 /radicals1 <0083e80180667b80840e80390283db80390381cd7be80380f87de20380667d72 512 0A916b0Ac9ba0381a47b8009aa03840e8039094d0F> DC 513 113 /radicals2 <0083e80180667926840e80390283dc80390381cb79bb0380f87cb50380667c0d 514 0A926c0Ac7d50381a2792609a903840e8039094e0F> DC 515 114 /radicals3 <0083e801806676cc840e80390283de80390381c9778e0380f97b880380667aa8 516 0A946d0Ac4f003819f76cd09aa03840e803909500F> DC 517 115 /radicals4 <0083e80180667472840e80390283df80390381c775620380f97a5b0380667943 518 0A956e0380bd79bb03819d747309aa03840e803909510F> DC 519 116 /radicalbtex 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/bracehzrtdnex <0081bc017fee7f3181cf806a027fee806a081604804280008094800080e37fdc 535 04813a7fb681727f84819d7f3209b208a50481a97fa981757fed812880200480c180658064 536 806a7fee806a0F> DC 537 124 /bracehzlfupex <0081bc017fee800081cf8139027fee8139085c04801480c0804580808094804b 538 0480fb80068158800081cf800008ea04817a806a8128806c80d9808f04808180b6804b80e6 539 80208139094e0F> DC 540 125 /bracehzrtupex <0081bc017fee800081cf813902819d813904817580ee814680c080f8809904 541 80a2806e804b806a7fee806a0816048053800080b58005810f803b04816c807181a380b6 542 81cf811508a4094e0F> DC 543 126 /arrowdblvttpex <00830a0180377d9d82d2800002818580000481567fb2812e7f7b80e97f3d04 544 80ad7f0780807eed80387ecf084f04808b7ec180b47ed980fc7f11067e8d09af0681a00B9f 545 a2bdc4dae80B9c5eb93bd61a067e5e09af0681790482547eda827b7ec282d27e9e08b104 546 82327f1181dd7f6e818580000F> DC 547 127 /arrowdblvtbtex <00830a0180377d9d82d280000280fc8000067e8e0480bc7ec080827ee18038 548 7f01084f0480d17e9081317e2b81857d9e0481d97e2b82397e9082d27ed008b10482847ee1 549 824c7ebe820a7e880681780951067e5f0B635f463c2a1a0B63a445c626e806819f0951 550 0F> DC 551 160 /parenlefts1 <0081ca0180797b7d81a08029028186802a0481457ff9810b7fc680e17f7f04 552 80967efe807a7e68807a7dd404807a7d39809a7c9b80ea7c140481117bd381487ba78186 553 7b7d099b0481657baf81327bdf810f7c260480cc7cac80bc7d4180bc7dd40480bc7e6c80cd 554 7f0681147f8f0481367fd081687ffe81a1802a09650F> DC 555 161 /parenrights1 <0081ca0180297b7d81508029028045802a09650480627ffe80957fd080b67f8f 556 0480fd7f06810e7e6c810e7dd404810e7d4180fe7cac80bc7c260480977bdd80677bb0802a 557 7b7d099b0480847ba980b77bd080e07c140481317c9b81507d3981507dd40481507e688134 558 7efe80e97f7f0480bf7fc680857ff98045802a0F> DC 559 162 /bracketlfs1 <0081a10180c27b80818b80290280c2802a067b560780ca08b3077f6906844507 560 809708b2077f360F> DC 561 163 /bracketrts1 <0081a10180147b8080de8029028015802a084e078096067bbb077f6a084d07 562 80c90684aa077f370F> DC 563 164 /bracketlfbts1 <0081d80180c27b8081c380330280c28033067b4d07810108b3077f3206848009 564 4d0F> DC 565 165 /bracketrtbts1 <0081d80180147b80811580330280e38033067b80077f32084d0781010684b309 566 4d0F> DC 567 166 /bracketlftps1 <0081d80180c27b7681c380290280c2802a067b4d09b30684810780ce08b207 568 7eff0F> DC 569 167 /bracketrttps1 <0081d80180147b7681158029028015802a084e0780ce067b7f09b30684b307 570 7eff0F> DC 571 168 /bracelfs1 <0082470180577b8081f080290280587de208660Ba777d26ff3580Bad60af3daf 572 0b067f0d0480f97ba881757b8081f07b80089c04817b7ba781387bba81397c440680d204 573 81387d9f81067db9808c7dd50481077df281387e0a81397e950680d20481387ff1817b8002 574 81f0800e089c048176802a80f9800080fa7f72067f0e0B804e7d2b510b0B5f6934610d57 575 0F> DC 576 169 /bracerts1 <0082470180567b8081ef80290281f07de20B598a2d920ca90B54a051c351f506 577 80f204814d800180d3802a8057802a08640480cd8002810f7ff1810f7f67067f2e04810f 578 7e0a81417df281bc7dd50481427db9810f7d9f810f7d16067f2e04810f7bba80cd7ba78057 579 7b9c08640480d37b80814d7ba7814d7c380680f30B80b283d5aff50Ba197cd9ff4a8089a 580 0F> DC 581 170 /anglelfs1 <0081d80180607b80819c8029028162802a0380607dd50381627b8009ba03809b 582 7dd503819c802a09460F> DC 583 171 /anglerts1 <0081d801803c7b8081788029028077802a094503813e7dd503803c7b8009bb03 584 81787dd5038077802a0F> DC 585 172 /linevertex <00814d01808f7da280bd80330280908033067d7009ae06829009520F> DC 586 173 /linedblvertex <00822c01808f7da2819c80330280908033067d7009ae068290095202816e8033 587 067d7009ae06829009520F> DC 588 174 /slashs1 <0082470180247b80822280290281e8802a0380257b8009ba038223802a0945 589 0F> DC 590 175 /backslashs1 <0082470180247b808222802902805f802a09460381e87b8009bb03805f802a 591 0F> DC 592 176 /parenlfs2 <0082550180b27929822b8029028208802a0481b87fdb816f7f8a81397f2604 593 80d17e6280b27d8580b27caa0480b27bcf80d17af281397a2e04816f79c881b779798208 594 792909a40481df7978819e79c581717a2b0481177af480fd7bd080fd7caa0480fd7d848117 595 7e6081717f2904819e7f8d81e07fdd822c802a095c0F> DC 596 177 /parenrts2 <008255018029792981a3802902802a802a0480757fdd80b87f8d80e47f2904 597 813e7e6081587d8481587caa0481587bd0813e7af480e47a2b0480b779c580767978802a 598 792909a30480a0797b80e479c5811c7a2e0481847af281a37bcf81a37caa0481a37d858184 599 7e62811c7f260480e77f8a809d7fdb804d802a095d0F> DC 600 178 /parenlfs3 <0082e00180ea76d482b6802902828a802a04822a7fbc81d27f4b81907ec804 601 810c7dc380ea7ca180ea7b800480ea7a638109794b818878490481cf77ba8225774d828a 602 76d509ac0482587744820c77a781d27831048162793d813e7a60813e7b8004813e7c9c8161 603 7dbb81ce7ec40482067f4b82597fbc82b6802a09540F> DC 604 179 /parenrts3 <0082e001802976d481f68029028056802a09540480877fbc80da7f4b81127ec4 605 04817f7dbb81a27c9c81a37b800481a27a60817e793d810e78310480d477a780887744802a 606 76d509ac0480bc774e811077b8815878490481d8794d81f67a6181f67b800481f67ca181d4 607 7dc381507ec804810e7f4b80b67fbc8056802a0F> DC 608 180 /bracketlfs3 <0082100180f976d581ff80290280fa802a0676ac07810608bc077f360688dc07 609 80ca08bc077efa0F> DC 610 181 /bracketrts3 <00821001801076d581158029028010802a08440780ca067724077f36084407 611 8106068954077efa0F> DC 612 182 /bracketlfbts3 <0082470180f976d5823780330280fa80330676a307813d08bc077eff06892109 613 440F> DC 614 183 /bracketrtbts3 <00824701801076d5814d803302811180330676df077eff084407813d06895d09 615 440F> DC 616 184 /bracketlftps3 <0082470180f976cc823780290280fa802a0676a309bc06892107810108bc07 617 7ec30F> DC 618 185 /bracketrttps3 <00824701801076cc814d8029028010802a08440781010676df09bc06895d07 619 7ec30F> DC 620 186 /bracelfs3 <0082ee01809276d58279802902824b802a0481ad7ff181567f9081577ee106 621 7de30481567c2981187bd780937b8f08620481177b2a81567ad481577a3c067de1048157 622 77b98170776b81ba77260B9a68b854d9450Bb06cb36be66b089f0481e7772581ac778b81ac 623 78230681fa0481ac7ad681707b2680d57b800481707bdb81ac7c2881ac7ce30681fa0481ac 624 7f7181eb7fdc8279800a08a009520F> DC 625 187 /bracerts3 <0082ee01807576d5825b8029028075802a08600481067fdb81427f7381427edd 626 067e060481427c29817f7bdb821a7b800481807b2781427ad581427a1d067e06048142778c 627 81077725807576f508610B8f809f80ae800B9085a08cb0920B9e8cba9dd3b204817a7760 628 819777b18197781d06821f0481987ad581d87b2a825b7b71089e0481d67bd781987c298197 629 7cc406821d0481977f45817f7f9481347fda0B669848ab27ba0B589146961a960F> DC 630 188 /anglelfs3 <008263018053792a820080290281c7802a0380547cab0381c7792b09b903808d 631 7cab038200802a09470F> DC 632 189 /anglerts3 <008263018062792a820f8029028063802a0381d67cab038063792b09b903820f 633 7cab03809c802a09470F> DC 634 190 /slashs3 <00841401802a76d583ea80290283b2802a03802a76d609b90383ea802a0948 635 0F> DC 636 191 /backslashs3 <00841401802a76d583ea8029028063802a09470383b276d609b8038063802a 637 0F> DC 638 639 /FontBBox {-18 -2958 1461 775} def 640 end 641 642 /Dutch801-Roman-DECmath_Extension bsd definefont pop 643 644 %%EndFont 645 646 647 %%BeginFont: Dutch801-Italic-DECmath_Italic 648 % Bitstream Fontware PSO Font -- Version 1.6 649 % DECmath Font Version 1.0, created 4-13-89 650 % 651 % Copyright 1989 by Bitstream, Inc. All Rights Reserved. 652 % Copyright 1989 Digital Equipment Corporation 653 % 654 % This product is the sole property of Bitstream Inc. and 655 % contains its proprietary and confidential information 656 657 % U.S Government Restricted Rights 658 % This software product is provided with RESTRICTED RIGHTS. Use, 659 % duplication or disclosure by the Government is subject to 660 % restrictions as set forth in FAR 52.227-19(c)(2) (June, 1987) 661 % when applicable or the applicable provisions of DOD FAR supplement 662 % 252.227-7013 subdivision (b)(3)(ii) (May,1981) or subdivision 663 % (c)(1)(ii) (May, 1987). Contractor/manufacturer is Bitstream Inc. 664 % /215 First Street/Cambridge, MA 02142. 665 % 666 % This software is furnished under a license and may be used and copied 667 % only in accordance with the terms of such license and with the 668 % inclusion of the above copyright notices. This software or any other 669 % copies thereof may not be provided or otherwise made available to any 670 % other person. No title to and ownership of the software is hereby 671 % transfered. 672 % 673 % The information in this software is subject to change without notice 674 % and should not be construed as a commitment by Digital Equipment 675 % Corporation. 676 % 677 % BITSTREAM, INC. AND DIGITAL EQUIPMENT CORPORATION DISCLAIM ALL 678 % WARRANTIES WITH REGARD TO THIS SOFTWARE, INCLUDING ALL IMPLIED 679 % WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL 680 % BITSTREAM, INC. AND DIGITAL EQUIPMENT CORPORATION BE LIABLE FOR ANY 681 % SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER 682 % RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF 683 % CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN 684 % CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 685 % 686 /n_chars 128 def 687 /DC 688 { 689 /bits exch def 690 /name exch def 691 /num exch def 692 num 256 lt {Encoding num name put} if 693 CharStrings name bits put 694 } bind def 695 /bsd 15 dict def 696 bsd begin 697 /FontType 3 def 698 /FontName /Dutch801-Italic-DECmath_Italic def 699 /PaintType 0 def 700 /UniqueID 440305 def 701 /FontMatrix [.001 0 0 .001 0 0] def 702 /FontInfo 12 dict def 703 /CharStrings 1 n_chars add dict def 704 CharStrings /.notdef <0F> put 705 /Encoding 256 array def 706 0 1 255 {Encoding exch /.notdef put} for 707 /temp 15 dict def 708 temp begin 709 /get-word 710 { 711 0 s i get add 8 bitshift 712 /i i 1 add def 713 s i get add 32768 sub 714 /i i 1 add def 715 } bind def 716 /get-byte 717 { 718 s i get 128 sub 719 /i i 1 add def 720 } bind def 721 /get-name 722 { 723 /len s i get def 724 /i i 1 add def 725 s i len getinterval 726 /i i len add def 727 } bind def 728 /eval-arr 16 array def 729 eval-arr 16#00 {get-word 0} bind put 730 eval-arr 16#01 {4 {get-word} repeat setcachedevice newpath} bind put 731 eval-arr 16#02 {closepath 2 {get-word} repeat moveto} bind put 732 eval-arr 16#03 {2 {get-word} repeat lineto} bind put 733 eval-arr 16#04 {6 {get-word} repeat curveto} bind put 734 eval-arr 16#05 {4 {get-word} repeat get-name do-char} bind put 735 eval-arr 16#06 {0 get-word rlineto} bind put 736 eval-arr 16#07 {get-word 0 rlineto} bind put 737 eval-arr 16#08 {0 get-byte rlineto} bind put 738 eval-arr 16#09 {get-byte 0 rlineto} bind put 739 eval-arr 16#0A {2 {get-byte} repeat rlineto} bind put 740 eval-arr 16#0B {6 {get-byte} repeat rcurveto} bind put 741 eval-arr 16#0F {end PaintType 2 eq 742 {temp begin stroke exit} 743 {temp begin fill exit} 744 ifelse } bind put 745 /do-char-arr 16 array def 746 do-char-arr 16#00 {get-word pop} bind put 747 do-char-arr 16#01 {4 {get-word pop} repeat} bind put 748 do-char-arr 16#02 {closepath 2 {get-word} repeat moveto} bind put 749 do-char-arr 16#03 {2 {get-word} repeat lineto} bind put 750 do-char-arr 16#04 {6 {get-word} repeat curveto} bind put 751 do-char-arr 16#05 {4 {get-word} repeat get-name do-char} bind put 752 do-char-arr 16#06 {0 get-word rlineto} bind put 753 do-char-arr 16#07 {get-word 0 rlineto} bind put 754 do-char-arr 16#08 {0 get-byte rlineto} bind put 755 do-char-arr 16#09 {get-byte 0 rlineto} bind put 756 do-char-arr 16#0A {2 {get-byte} repeat rlineto} bind put 757 do-char-arr 16#0B {6 {get-byte} repeat rcurveto} bind put 758 do-char-arr 16#0F {closepath exit} bind put 759 /eval 760 { 761 /s exch def 762 /i 0 def 763 { 764 /t s i get def 765 /i i 1 add def 766 eval-arr t get exec 767 } loop 768 } bind def 769 /do-char 770 { 771 t s i matrix currentmatrix 772 2 {6 index} repeat translate 773 2 {8 index 256 div} repeat scale 774 end CharStrings 5 index get 775 temp begin /s exch def 776 /i 0 def 777 { 778 /t s i get def 779 /i i 1 add def 780 do-char-arr t get exec 781 } loop 782 setmatrix 783 [/i /s /t] {exch def} forall 784 5 {pop} repeat 785 } bind def 786 end 787 /BuildChar 788 { 789 exch begin 790 0.2 setflat 791 Encoding exch get 792 CharStrings exch 793 2 copy known not { pop /space } if get 794 temp begin eval end 795 end 796 } bind def 797 FontInfo /version (Fontware-PSO 1.6) put 798 FontInfo /OutlineResolution 1000 put 799 FontInfo /Copyright (Copyright 1989 by Bitstream,Inc. and Digital Equipment Corp. All Rights Reserved.) put 800 FontInfo /Notice (Dutch 801 is a registered trademark of Bitstream, Inc.) put 801 FontInfo /Date (1989/4/13 12:34:32) put 802 FontInfo /FullName (Dutch 801 Italic DECmath_Italic (TM)) put 803 FontInfo /FamilyName (Dutch 801) put 804 FontInfo /Weight (Medium) put 805 FontInfo /ItalicAngle -15.60 put 806 FontInfo /isFixedPitch false put 807 FontInfo /UnderlinePosition -108 put 808 FontInfo /UnderlineThickness 60 put 809 32 /psi <008286017fe97f24825b82560280de8013048022804280c3811880bd818f0B7eb2 810 50d51fc704802281c57fff81887fe981530A97770B8fa0a1c2bfd60B958eab88ab6c048068 811 8151803680f78031809f04802e806c8049803d8071801d0B9d69bf60e4590380967f2509df 812 0381237ff40481ba800b821480848244810e0482528136828081d9822781d60481d781d2 813 821381608215813904821a80ed81f780a581c5806f048199803d816b8021812b80160381af 814 825709610380de80130F> DC 815 33 /omega <0082ac017ffd7ff3826981d30280fb81b90A7f9a04803581b27fad80a6802f 816 80180B9e61cf54f9610Bb58fd3bcecea0B855a8f2fb51d0481787fe781b37ffb81dc801504 817 8276807b82b6819681e481d30A7469048224819782178151820a81040481fd80bb81d9801f 818 817b80170B647e498d3fa80481298070813a80a8814c80d604815a80f981ae81808158818a 819 04810d8192811a80f6811380cb048109808b80e6802c809f801a0B6c7b58834a910B669b67 820 c86ceb04805e80d9807181218090815d0B9bb6b3ccebdc0F> DC 821 34 /epsilon <0081b80180027ff3817181d702815480670A688e0B6555462d10240B4c761b 822 9412ca04805480a1808280dc80bd80e90B9e7de264e48f0B81a93e95299104805a812380a5 823 81d7810d81b50Ba3759c56a43b0B8964ad61bb7b0B96a56fcf4fde04810d81de80d081dd 824 80a081cd04802e81a680168129809180fc0B50741d620235047ff080748008801d804c8002 825 0480807fef80bf7fee80f380040Bad94c8bae1e30F> DC 826 35 /theta1 <008209017ff37ff5821382e702816981db04816881618166808d8106803404 827 80bf7ff38071801f8091808e0480a580d3810381a3809c81d004804881f5800c818e7ff3 828 814e0A97780B8c9cb3f0ddde0480918190804580c4803e80a204802c8044805d7fee80c5 829 7ff6048189800581bc812881c181c60B9a79b373cd6d0A85a20B65864a8d2f940481bd822a 830 81bd8272819782aa04816f82e6811482f980d482d804809182b5807e825a80b882240480e8 831 81f8812b81eb816981db0281698200048138820d80fc821a80dd82440B62a76de9a2f504 832 815b82cd8165823b816982000F> DC 833 36 /omega1 <0082f001800c7ff382e781cc02807e818709b00480738148803d8104803580ab 834 048030806b804b8019808b7fff0480e67fd78123801a814b8063048155801081817fe081da 835 7ffc04821d800f825a8047827880860482a380de829a8130826f818409ea0A8ec9077ddf04 836 805581cd802d81ca800d8152099e0B8ca7abb5d3b5028245818704824f8123823b80b6820a 837 805e0481f1803181b57ff981818027048143805f818980d781a2810e0B94aa8ce955db04 838 813e815a814980ca813e80960B774d4f161d060B4a6e2fa72ed404808780cc80b2813680dc 839 81870781690F> DC 840 37 /rhomath <0082230180037f2081dd81d702813a7f200A94880481587f9c80e77f8a8093 841 7f940480147fa3801f802b8027808a0480358051804c801e808580050480d97fe1813e8003 842 817d80400481ca808b81f6810181ce816a0481ac81c0814781e780f181d104807f81b3803a 843 814a801d80de048002807a7fed7fdf802f7f8604805e7f4880aa7f3e80f27f3f0B9f80b97f 844 c8610280a9815c0480d1819c812c81e8816b81950481a2814b817380ae8146806704811c 845 802380bd7fe980868042048057808e807e811680a9815c0F> DC 846 38 /sigma1 <00816801800a7f99816f81da0280427fc40A78640Ba276c56ce8770Baa8cc7b0 847 d1da04810e8069809180ac805880f8048023813f8068819380b081a404811181ba81258175 848 815681850Bab8eaad245d60480e081dc80a881d1807681b204804081918012815c800c811c 849 047fff80898083807080ac80110B8c6687456c350B667045782a7e0F> DC 850 39 /phi1 <00826c017ffe7f1d823381da0280947ff90380557f1d09d60380e87ff404812c 851 7ff681668005819f802c0481f68069823c80d58233814304822a81b081c58201815b81c804 852 8108819c80ec812a80d580d70380a280240480628041804f8083805380c60480588116807a 853 815980af81930A6b96048046816a7ff8811f7fff80ac048003804e8040801480947ff902 854 811f80bc04813281008144815d819081790B9c8abb81ce6b0B9668954491260481e680c4 855 81c58083818e8056048160802f812c801f80f1801a03811f80bc0F> DC 856 40 /arrowlefttop <0083e801803e811283a981d00283a9811308b8077d03038179819e0A6ab303 857 803f8155083e07836a0F> DC 858 41 /arrowleftbot <0083e801803e808c83a9814b0283a9814b077c96083e038163808d0A96b303 859 80ac81120782fd08b90F> DC 860 42 /arrowrighttop <0083e801803e811283a981d002803f811307836a08c203828581d10A6a4d03 861 833c814b077d0308480F> DC 862 43 /arrowrightbot <0083e801803e808c83a9814b02803f814b08470782fd03826f80c00A964d03 863 83a9810908c2077c960F> DC 864 44 /hookleft <00811601809a81128169826b028169814b04811a814680d2816780d581c204 865 80d8821a811e82358169823208b90B57812c7e08690480bd8237809b81fa809b81bf04809b 866 818480bd814880f1812a0Ba46bce67f86908b80F> DC 867 45 /hookright <008116017fbc81128089826b027fbc814a08490Baa7ed382f8970480688148 868 80898184808981bf04808981fa80688237803482540B5b953298089708470480078235804c 869 821a804f81c20480528166800a81477fbc814a0F> DC 870 46 /triangleright <0081f4018011800081e281cb02801281cb067e350381e280e503801281cb02 871 803e818803818480e703803e80470681410F> DC 872 47 /triangleleft <0081f4018011800081e281cb0281e281cb03801180e50381e280000681cb02 873 81b68188067ebf03807080e70381b681880F> DC 874 48 /zerooldstyle <00820201801a7ff281e6820a02802a816204800480ea80238042809d800704 875 81247fc781b4801381db80a40481fc812081de81c7815a81fc0480d6822f805481e3802a 876 816202807a814e048091823d8190822d818a80c9048189809681848058815e803204813e 877 80128107800880de801c048082804a807180f6807a814e0F> DC 878 49 /oneoldstyle <00820201807d8000818481fd02807e81e80Bd57bd767d715067f030B802f7e19 879 2915086b07810608950B2b84289a28eb0680fd0B80d283e7d8eb0895077efa086b0F> DC 880 50 /twooldstyle <008202018026800081e0820a028027801908670781850381e1808e09630481a6 881 80528175805181388051077f610480e28088813980c3817681070481ae814781ba81a48175 882 81e104813e821180eb821780ad81f004807e81d2806481a1804f816f0A9a790B97a3b3c2dd 883 ce0Baf8ee67ffd5204815f8150813a8113811480ea0480cd809c8078805c80278019 884 0F> DC 885 51 /threeoldstyle <0082020180277f3c81c6820a0280a580b7086b0480f280a181488095816c8047 886 04818c800081747fa481337f790480bf7f2b80a97fae804d7fa90B547d53487031048072 887 7f3080cf7f39810b7f4a0481767f6a81c57fc381c680350481c68096819680c8814080e80B 888 a4a1cbc4daf40481ad819a819281d6815b81f5048120821880ce820e809681e904806781ca 889 8049819a803381670A91740B96a1adc2d2d50480c681c8810681cb812f81a404815d817a 890 815481308132810204810f80d280dd80bf80a580b70F> DC 891 52 /fouroldstyle <0082020180267f3c81e4820a0281357ffa067f4209ce0680be09e108c3091f06 892 81cd09530380278046083407810e028135819b067ea2077f17038135819b0F> DC 893 53 /fiveoldstyle <00820201802a7f3c81d182190280c281fe03804d80f10480b680e9813980d1 894 816a806804818f801b817b7fb581377f800B676d476327650B6a82598f489d0B67953fb01c 895 a20B5b70694583320480847f2980fd7f3d813b7f5f0481a97f9d81dc802881ad809e04817f 896 810d810681388099814b0Aace40780e20Aabe20A73890B6d6560644064077f3d0F> DC 897 54 /sixoldstyle <00820201802f7ff381d982c0028093815f0480c58197810e81ab8147816e04 898 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8210821e0Ba2a9c5dcfde20A8694077f270A7b6d0Be07dd759a11803813381520380ec822e 1049 0B6ac580cfc0d40A87920F> DC 1050 90 /Z <00822c017fe38000823782940282378294077e5303805881f40995048097825780cb 1051 82708134827009f8037fe4800d0A7f730781d00381ec80b5096b0481a880498171802580fc 1052 8026077f71038237828b08890F> DC 1053 91 /flat <008103017ff4804580a382450280138061048014808a800b80da802381010B8b 1054 92a3a3b6940B9c6b934185260B6f5d5042352602800280460A90820Ba1a2c4c3e6e40B9595 1055 abaeabce0B81a463c43ec00B617d4a67355203801e8245095703800280460F> DC 1056 92 /natural <0081030180027f9680928215028003802e0Af7a7067f4209980681e70A095c06 1057 80bc0968067e1802801b80730680a90Adf9e067f590A21600F> DC 1058 93 /sharp <008103017ff27fa380a7820d0280127fa409970680990Ac7a2067f6a099706 1059 80a00Aa18f08c80A5f700680860Aa18f08c70A5f710680900969067f640A39600680970969 1060 067f5f0A617008390A9f8f067f7b0A617108380A9f90067f7102802980840680860Ac7a106 1061 7f7b0A395e0F> DC 1062 94 /slurbelow <0083e8018033806283b4815102803381510480a380ab812e806381fa806304 1063 82c18063834780b183b58151095c04836b811f834180f3830980d30482b780a482558091 1064 81f780910481948090812c80a580d580d80480a180f7807a812180558151095e0F> DC 1065 95 /slurabove <0083e8018033808d83b4817b028033808d09a204807a80bd80a180e780d58107 1066 04812c813a8194814e81f7814e048255814d82b7813b8309810c04834080ec836b80bf8391 1067 808d09a4048346812f82c3817b81fa817b04812f817b80a381338033808d0F> DC 1068 96 /lscript <0081f40180207ff781c182bc02807580fb04806d809d8077800780ee7ff904 1069 81427fee8163803b8177807d0A63890B7257560a1d160480aa802c80d3810980d8813704 1070 812b8170817581b281a6820b0481c2823f81d4828e819482b204815182d68111829e80ec 1071 826a0480a8820b80888198807981270B6169435227380A946a0B9592aaa2c1b20280dd8161 1072 0480ec81bf80fa822a813482780B959ebeb9de970481bb8264818c821a817381f404814b 1073 81b98116818b80dd81610F> DC 1074 97 /a <0081f40180147ff781c981c002813e81a30481a4817680e4800880878035048033 1075 805d80c381d9813e81a302817b81b70A755b0B76a74ab126ad04809e81b0804181288022 1076 80bc04800d807180057fe7807b7ff90480d1800681078060813280a3048127807f80f8800d 1077 812c7ffb0481677fe681ad804081ca80690A708d0B4d3a1310388d0381c881b70933 1078 0F> DC 1079 98 /b <0081f40180197ff781dd82b00280b58164038107829d0B848e7f9670930480c782a6 1080 80998298806882940A7c6f0Bc181c675b73703801d80470B7553a43ec9370481017fdc819c 1081 804e81ce80dd04821681a9814e821c80b5816402809880ed0480df81f281df81aa816680a6 1082 048140805880f78002809680120B56884f9f59c303809880ed0F> DC 1083 99 /c <0081bc01801e7ff681a881c002818480660A7091048144804780f5800580ad802c04 1084 807f80458075807e807880ad04807d80f7809d814080d281740B9e9ec4b4f0b40B887fa07e 1085 a1720B816f62656a440B8c52da60dc970481ac81d3811d81c580e881b00480948191804a 1086 8143802c80ee04801380a880178044805880140480be7fc8813c8016818480660F> DC 1087 100 /d <0081f40180107ff4820782b20281738073038206829e0B84907c966d930481c582a7 1088 81998299816982960A7c6f0Bc281c272b33703817281a50B6aa12f9d0f930480988199803c 1089 8123801e80be048007807180087ff680757ff70480d37ff8810d80578139809d04812c8076 1090 8100801481337ffb0481737fda81bc803981db80650A718e0B706b4f3832380B5b7f70b675 1091 c802814581a40481a3817980ee7ff58087802d048026806280d181d6814581a40F> DC 1092 101 /e <0081bc01801b7ff781aa81c102807f80e0048091811b80ac815280da817d0B9997e2 1093 c7fc970B94596d2050090480f780f680ba80e9807f80e002817a8072048148804380fa8010 1094 80b1802a04806e804280748091807b80ca04823580fb81cd822680d381a104808581778042 1095 812f802780da04801280958017803b8058800e04808c7fec80d87ff2810f80080Bb095d7b7 1096 f9de0A728c0F> DC 1097 102 /f <008116017f9c7f27819e82b20280da81af0A98f10B87a592d4b1ee0B8a889a90a687 1098 0B947163399c2f0Bcb73c7cf8de80B588f2884066d0480ad826580988202808581af092a0A 1099 796209d703802a7fdd0480227fb280197f8480047f5d0B7d7a68595d660B778a859c85a70B 1100 7f97649f519a0B4e73641aaf240480247f3180457f72805b7fa704808380078098806f80ad 1101 80d50380d4819109eb0A859e09160F> DC 1102 103 /g <0081f4017ffb7f2681f681c40281f6817908ab0B5b80367a138a04815381c78114 1103 81cb80db81b8048062818f801680f7809e80ac04806e807d8021804c807c802204803a8003 1104 7fd77fc080057f6b0480407f0281477f1581847f8a04819b7fb781997ff081738012048148 1105 803a8105804580cf80560B6c86479556b00B868c91979d9d048108809c815280a7818680dd 1106 0481af810781c1814081b1817909c502809580190480cb8006810c7fff81397fda0B976d99 1107 4b8f310B745d51492f410480b77f3c804b7f3c803b7f8f04802f7fd380627ffb8095801902 1108 814a819f04817a8178815d811f814480f304812b80c580eb809b80be80c8048078810c80eb 1109 81eb814a819f0F> DC 1110 104 /h <0081f40180047ff481d582b202809580eb038111829e0B85907c966d930480ce82a6 1111 80a18298807082960A7b6f0Bc381ca78b837038004800009d504807d808c80aa8105811b 1112 81670B8b8ab4abc3950B906a7e3e7827038125806c048118803c81047fe681587ff6048196 1113 800281ba804281d580750A728c0B736b502a322f0B65867dc181cd0381af81380481c18175 1114 81cf81d3816c81b6048113819c80c78135809580eb0F> DC 1115 105 /i <0081160180287ff6810a82910280f8806a0A708f0B706949352a370B61826eb174c2 1116 0380e181a30B8288899f789d0B6b7d4a7432700B677d4e7935760A7c700Bb37eca79ba3e03 1117 8038807c04802d805680127fff80517ff80480997fef80d1803880f8806a0280fa82820B52 1118 ac09683a3b0Baf54f697c6c50F> DC 1119 106 /j <008116017fa27f2a810d829102804981a90A7c6e0Bc77cc873ba2f038052805f04 1120 8041800b80327fb580147f640B7b736d585b610B71867a9b7aa60B80956fa35aa20B457c5d 1121 12b31e0480637f3a80877ffc809a80510380e381aa0B838a829774960B687e4f7637720B69 1122 7c52793b770280fe82820B51ac09683a3b0Baf54f697c6c50F> DC 1123 107 /k <0081bc0180027ff681da82b302809780ee03811282980B8592849e6e9b0480d282ac 1124 80a7829d807682980A7b6f0Bb17fc883b746038002800009d403808b80b90Aaea50380e3 1125 80590B88639441a72a0B8e71a971bb770Ba98cd5c2ede60A72900B5044301d11770380f9 1126 81120Aead80Ba19cc7b7f3b70A8591077f460A7a710B907fb07fa7660B796c6458544c03 1127 809780ee0F> DC 1128 108 /l <0081160180297ff9812382b70280f1806a0A708e0B706c4632293e0B69897ab57ec5 1129 03811f829b0B838c899e759c0B697d51773a740B657c4a782f750A7e6f0Baf7ecc79bd4003 1130 803f8091048035806c800d8006804d7ffb04808c7fee80d0803c80f1806a0F> DC 1131 109 /m <0082d20180037ff582b381be02803781a60A7c6f0Bcf7bbd5fa815038004800009d1 1132 048084809180a9811c812c81790Bc7b2a5419d240380f6800009d204816a807d819680f4 1133 81f081540Ba5a8ead4d277038205806e0B755a60109b0904825c7fee8298803c82b3806b0A 1134 738e0B6d6a59433b3a0B67796f9972a6038290813804829c816582b481b9826c81bd048217 1135 81c381c8814f819a81120481a7814681d581bd817781bd04812581be80ca813d809d810103 1136 80d181a30B8590829e6e9a04808f81b4806a81aa803781a60F> DC 1137 110 /n <0081f40180087ff481d581bd0280a080f80380d881a20B889b829f679704809381ac 1138 806581a7803981a20A7c6f0Bcc7ec56daf25038009800009d3048082808b80ac8105811e 1139 81670Bd5c9ca78ba3c038126806c048119803c81057fe681597ff60Bbd8be1ccfdfe0A708b 1140 0B746b512c34310B65867ec181cd0381b181380481c0816e81d381c3817d81bb04812c81b5 1141 80cf813680a080f80F> DC 1142 111 /o <0081f40180177ff581dd81c10281b0819804814c81f680b181a78066814f048020 1143 80fe7fe98061805180130480b97fc6814c80148192806a0481d280b88207814581b0819802 1144 814781a60481dd818781467ff280ae8013048019803380ae81c5814781a60F> DC 1145 112 /p <0081f4017f957f2781e081bd0280a580e20480e081cb81d281d3817080c8048153 1146 80778111800080ab80090B50844aa155ca0380a580e20280487f7b038069800204809b7fe5 1147 80de7fef81108003048180803381d680b181e0812a0481ed81db813581e880c381610480f1 1148 81f180e681af803881a20A7b6e0Bba7fcb7dba3d037ff77f810B72475b3b23380A7b6f07 1149 80f80A85910B4580268036c20F> DC 1150 113 /q <0081f40180127f2881ef81be02815e81a00481d0816381017ff4808f802e04801f 1151 806680dd81e2815e81a00281a281b40A735404815c82208027816d8013808004800c8021 1152 80427fe280a17ffc0480ec800f81258051814c80910381057f8b0B6c3861341a300A7d6e07 1153 80fb0A81920B2d812c9043e00381ef81b409330F> DC 1154 114 /r <0081850180188000818581bc02812281770B8d38f25de1a30B79a350a43796048105 1155 819280ca813080ab80f90380db81a50B848d859a749704809d81b2806c81a7803a81a00A7d 1156 6e0Bd67cc55bb315038019800009cf048082805f809d80bb80d181100B97a4b0cbd1e7 1157 0F> DC 1158 115 /s <0081850180057ff5817181c002817281bd09740B795e3c782a7d04807d81da8021 1159 816d808b80f00480b480c08122806180cf80210B5d64256803850B609e56c651f0097403 1160 80067ffb098e0B88a1d082e07f04810e7fde817e805f810a80e40480ec8108807f816280b5 1161 81960B9998c796e3850Ba869b43ebd14098c03817281bd0F> DC 1162 116 /t <0081160180247ffb812b822d0280fc822d09690480bd81ef808981b4803d81a50A7c 1163 6d09c503802c805c0B73517119b32004809b800280c9803880ea80660A71910B594c080429 1164 7d0380cf819209d50A879e092c0Aa5fd0F> DC 1165 117 /u <0081f40180207ff781d981c0028084809c0380cf81a30B859188a0709c0B6c7e5878 1166 44750B657b4a7730740A7d700Bbf7cc475b02b03803580a804802880788001800180547ffb 1167 0480c17ff18115808f814780dd0A611a048118804381057fe281617ffb0Bb58edec3f8f20A 1168 728c0B49310f0c328e0381d081b7092f0481628136812a80bf80d0805e0B72723e3c295d0B 1169 729485cb8be10F> DC 1170 118 /v <0081bc0180137ff481b581bf0280937ff4038110807804814980b581ae812481b5 1171 817a0B85c240de25b00B644eb646aa1c048174810780f7807f80c580520380b881080B8080 1172 7f807f800480a081fb80b581bb801781a60A7d6e0B937daf7eba6a04806681548062811d 1173 806b80ef03807f7ff409940F> DC 1174 119 /w <00829b0180187ff5829581c202819381c2096f0380b380820A7df20480af810d80af 1175 81b6809781c20B7983166b03680A7f700B947ea77db36a04805f81648061811c806280f803 1176 806b7ff50992038152813a03817a7ff5099003821d80a604824980dc82b28154828f81a20B 1177 6eaa2fa92c77048238814b82b8818b820380b60A3b2e03819381c20F> DC 1178 120 /x <0081bc017fd47ff481bd81c002812181680A4e3c0380d181a50B7b96719f5a9a04 1179 807f81b6805881a9802a81a30A7d6e0Bb789dc88ec4a0380b280d10A290a0B6f695c584064 1180 0B658b43923b6b0B77589d49bc500Bad89c9afe3d20Ac6e00480c2808e80d2802e80e28010 1181 0B89709967ac6504814c7ff18182803d81a0806b0A728f0B49301f1005820380f781000Abc 1182 d40B8f94a2b2bfa70B9877bc6dc98e0B8fa961bb40b30B58763d4b262c0F> DC 1183 121 /y <0081bc017fc77f2981a481c302812580ac0A48280380d080e30480c9810880ad81ac 1184 809381c204808e81c7802581ae801081ac0A7d6f0B977daf7bbe680480638164806d8123 1185 807680fc0380ad7ffa0A3e280B6d67523d2d4a0B6b8854963e840B686c6e4c8a3f048032 1186 7f0880967fa680ba7fd70480f080218190810781a181640B859a88ba74cf0B709350953c86 1187 0B6d726f557f450B8c73a06ea45c04817e812c813c80d0812580ac0F> DC 1188 122 /z <008185017fe27ff4819481bf028048804603818a81a20B8788939d7f9d0B6e815d60 1189 2d640480af81af806681fb8034815a0A90770B98aaaeb5dfaa0480e2816d80ed8168812f 1190 8171037ff2801a0B7b7b707171690B81798a7591770B9d8693a6df97048089800580e17fe8 1191 81167ffa0Baf90bccdcaf70A6f8904811c7ffe80c88061804880460F> DC 1192 123 /dotlessi <0081160180287ff680f781bf0280f8806a0A708f0B706949352a370B6182 1193 6eb174c20380e181a30B8288899f789d0B6b7d4a7432700B677d4e7935760A7c700Bb37eca 1194 79ba3e038038807c04802d805680127fff80517ff80480997fef80d1803880f8806a 1195 0F> DC 1196 124 /dotlessj <008116017fa27f2a80e481c002804981a90A7c6e0Bc77cc873ba2f038052805f 1197 048041800b80327fb580147f640B7b736d585b610B71867a9b7aa60B80956fa35aa20B457c 1198 5d12b31e0480637f3a80877ffc809a80510380e381aa0B838a829774960B687e4f7637720B 1199 697c52793b770F> DC 1200 125 /weierstrass <0083e80180bd7f6882e181db02811680760480ee804580bc800c80be 1201 7fca0B814fa122d41f0Bbf7de9b2efec048188801881688066815780a704818d80e28215 1202 8182826781770482bd816d828680df827280b4048258807c82368043820280200B68703163 1203 2b8e0B7c9e99acacbc0B928f9caf81bb04818e80c9816f802781b380000482197fc8829f 1204 806e82c380bd0482db80f282ef813482d8816c0B71a44fb829b904821f81a5819081048151 1205 80bd04813d8101814d8148817f817c0B9291a5a2bab00B8d8a9b91a79c0B8585848e7e9204 1206 81c481e781508177813f8162048106811a80f480cc8116807602811e806004812c80338142 1207 800681467fd70B8455681835310B529752d264fb0B8ea3a8bfbfdd0F> DC 1208 126 /vector <008341018000815d834182a102800081e30782d403820781910A964d038341 1209 81da08cb03821d82a10A6a4d0382d4821c077d2c08470F> DC 1210 127 /tie <008025018012821b817482b4028175821b04815f827b812d82b480c482b404 1211 805b82b48028827b8013821b09b80B90c0b8d3f8d40Bc280e86ef92c09b90F> DC 1212 160 /Gamma <00825b017fbf80008298829402827e81e70382988294077dde0A7b6c0Bd17fdf 1213 6bca1c038043806f0B6930522702250A7a6c0781400A85940B3a831a8d30db038130822a0B 1214 8fb89ec3dac309e8048249826d82648236826a81e709940F> DC 1215 161 /Delta <008264017fb9800081f6829f0281f7800003819f82a00969037fb9800007823e 1216 02800c802d03814781f8038182802d077e8a0F> DC 1217 162 /Theta <0082e50180187ff282cc82a30282a2824904823782da814c82a880d1824904 1218 807e8209804781ae802b814a04801380f7800d80968043804c048072800b80c57ff28113 1219 7ff30481707ff381cb80138214804c048267808c829d80e682ba814a0482d2819d82d88200 1220 82a2824902824f822304828081a1822e80d481d780720481a5803b81688016811d801604 1221 80d9801680ac80318096807204806680f680b581c0810f8223048140825a817e827f81c9 1222 827f04820f827f82378264824f822302815581740B477f368842c309670380c580e8099804 1223 80f781308117812b815c812b0B9580dc87f1750B8f7388598548099803822381b709680B78 1224 6b70545c480481c6816b81748174815581740F> DC 1225 163 /Lambda <0082ae017fb28000825182a3028208808a0381c382a3096703802880770B64 1226 574623101d0A7b6c0780be0A86940B27873ca768e703816981f704817281b881a4807e819e 1227 80440B7f777c6e78660B706a4a6c326a0A7b6c0781090A85940B6e825b8650960B70976ac5 1228 67e00F> DC 1229 164 /Xi <008285017fdb800082aa829402827781df0382aa8294077dec03806481df09960B 1230 95beaed6f0d60781380Bc57fcb6abf2a099602812081780B49802e8038bf096a03808680e1 1231 09960480b9812c80e081258129812404813c81248194812a81aa81190B91738b5a88480996 1232 03820381b7096a0B786b6f555a4b0481a1816e814181788120817802806580600B3d803398 1233 3fd6096a037fdc800007821803822880b609690B6b43522a102a077ec40F> DC 1234 165 /Pi <008300017fbc80008349829402834382800A8694077d2b0A7a6c0Bc77bde72c928 1235 03803b806d0B6b34512c07270A7a6c07812f0A86940B3985218e36d903811e8216048139 1236 8275816d827081c5826f0481e0826f823f82778257825d0B916d874e81390381e1806d0B6c 1237 36502b06270A7b6c07812f0A86940B3784208c36d90382c982280B95cab1d3fad80F> DC 1238 166 /Sigma <008250017fad80008277829402824581df0382778294077dfc0A7969038134 1239 813f037fb6801c0A78640782140381f580b609680B6b46572a162a077eda03819381580A85 1240 8f0380f2826f0780bc048210826f823e8241822d81df09980F> DC 1241 167 /Upsilon1 <00826c018057800082db82d30280bd80610B71475f3422320A7b6d0780e5 1242 0A85930B4781429750ca038152813a04817e8181822082848268829f0Ba38ea56f9d580B77 1243 60924caf5b0482fb827882e282ef826d82c904823382b7820b828181e982520481ab81ff 1244 817281aa813d815104813e81ba813e826d80e582b50480c682ce808682e6806582c30B5450 1245 9d58c5390480ff823a80fc81a180fb813f0380bd80610F> DC 1246 168 /Phi <0082fb01801b800082e1829402826a82800A8694077ed30A7b6c0Bca7bde77c928 1247 048106821f807a81fb8037817f0480168142800d80f2804180bc048075808380c38077810d 1248 80700B6b32512903240A7b6c07812d0A85940B3685228f38dc0481c58078821280868259 1249 80b00482a480dd82df812882e181830482e381c382b581f7827c820e04824f822082208225 1250 81f082280B95ccb0d4fad8028180820f03811480890B5685298c0fb004807980f380908143 1251 80aa817f0480d081d8812482048180820f0281e9820f04823a8204827b81dd826f817f04 1252 82658130824080dd81fc80b00481d5809781a9808e817c80890381e9820f0F> DC 1253 169 /Psi <00831b01805580008376829902813e80ed0B5a832b8510a40480a4814380db81cc 1254 80e981fe04810c828480dd82a5805d82950A79680Bd183be54ad170A6112048037810280a9 1255 80d7813680d00A641d0B6c364f2b05270A7b6c07812f0A86940B3985228f37d90A9ce304 1256 823a80d882be810882ea81a60A9fee0B92c29bece7e90A879804830082a582be8281829a 1257 820a0482688166826f80fb81aa80ed03820282280B94c8b2d3fad80A8594077ed10A7a6c0B 1258 c77bdf73ca2803813e80ed0F> DC 1259 170 /Omega <008300017fe4800082ee82a302820e805a09050A91bb04823680b282b88100 1260 82e38198048317824f828282a381e082a304813282a3807b824a8048819804801e81068070 1261 80b280f880950A6f4509050B3e7f329740d60969037fe5800007810f03812680b40480b6 1262 80d180a0813080be81980480e3821b814a827e81d7827f0482638281828f8212826d819804 1263 824c812381fd80cf818780b4038154800007810f03829480b0096a0B6b425229102a 1264 0F> DC 1265 171 /alpha <008254017ff77ff4822d81df0281918135048193817f818881d3812b81d704 1266 80b681dc803e816c80118109047fe0809c7ff1800c807a7ff70480e77fe5812f80268169 1267 80770B8358860db8020Bbb73ddb9ede50A6c8e0B6e6551412c540B5d945dc15ee40481b1 1268 810281dc8161822d81a60A47b90481c581a881ac81788191813502817680f204815580a0 1269 8118802380b78013048049800080488080805a80c904806f812280ac81a7811081bb04818a 1270 81d48178813c817680f20F> DC 1271 172 /beta <008204017fb47f1d81e682e602800b8087037fb47f1d09d9038047804b0B9559 1272 b039dd2f0480e27fec81218002815280280481a2806681d280ce81bb81330B72bc3fd90aed 1273 04818f81be81ca81e481e082370481f3827e81cc82d1818082e204812382f780d382b580a7 1274 826804806981fd802a8108800b808702807d815004809381b480bf8287812582b90B9a8dbc 1275 8dd2780B9f639b34930f04817981f2814b81a280f281b70B6a85438846670B8559bd6dd56d 1276 048177818c816b8109815780c20481478085812f803f80f280220B63724170237d048057 1277 803c80508088805d80c303807d81500F> DC 1278 173 /gamma <0081ca017fe17f2181b581d60280a7804b0480ab809f80c181b4806181d204 1279 801281eb7fef81657fe181300A9a7e0B8ea4abdfdac0048094814280898077808a802c04 1280 80587ff480297fb4801c7f680B7c697c409a3b0480827f16809f7ff380a680220480ce804c 1281 8216819b819881d30B4d953e523b2f04814b810e80f080a280a7804b0F> DC 1282 174 /delta <0082100180007ff381c482e30281a582610B72ab60d23aec0B619534a0128d0B 1283 596b4737560f0480dd8230811e81e8814481b10480b4820080148164800280d8047fe57ffc 1284 80d67fa0817880530481cc80b181da813d81a481ae04817a82028122824c8108828c0480ed 1285 82d3815282e981898261099c028075812d048095817680f381e08142818e04818781478157 1286 80a28127805c048102802780ae7ff38075802c04803c8065805980ed8075812d0F> DC 1287 175 /epsilon <0081b80180117ff7819981db02819281b30A879d04810981ee806381cf8028 1288 813704800280d680088055806880180480a87fef81017ff2814a80010A88a00480b67fff 1289 805c8046806f80e70780dd0A86a6077f240480a381aa80fe81c2819281b30F> DC 1290 176 /zeta <0081cf01800b7f4e81ac82d30280dc8226048071824a805e82bc810082b60A82 1291 960480ca82d4806c82e4805182a204803082558089822580c4821004805981a98005812b 1292 800c80900480148007805e800480d180000Ba080c585e1720B9b6c8b42792d0480df7f46 1293 80857fa9805c7f870B7174745f83540B9f69dc73fe7b04811c7f6581597f8e816d7fcf0B8b 1294 a787d962f1048107807080598028804780a10480308124808b81b280e482090481108205 1295 81b881f581ac82430B7aa053a2399e048132825b8105824380dc82260F> DC 1296 177 /eta <008207017ff77f1d81cc81d70280aa81160480b6814c80db81c0808c81d5048042 1297 81e8801181897ff781530A97730B8995b9efd8d804807e818d80588112805280fe038008 1298 800009d6048084807e80c5815d8143819d0481af81d2816c8127816381070380cf7f1d09da 1299 0381af80fc0481bd813281ef81b4819f81d204813381fa80d6816580aa81160F> DC 1300 178 /theta <0081ed01800c7ff481d782c002805581f2048018817c7fe0808d8045801e04 1301 806c7ff480a77feb80dc8000048123801c815e8067818380a70481b7810081d5816781d8 1302 81cf0481d9821581cf8270819682a104816b82c5813082c780ff82b10480b3828f807a8239 1303 805581f202807e81540780e904815280fe8112801780a9800f0B537d3dae38d304805780b3 1304 806b8106807e8154028171817b077f1704809b81c680da82a8813b82a60481b282a5817e 1305 81bd8171817b0F> DC 1306 179 /iota <0081180180007ff680d081cc0280c381cc092e0380128082048006805c7fea 1307 800080297ff80480717fee80ac803c80d180700A718f0B6f69483128330B618270b575c503 1308 80c381cc0F> DC 1309 180 /kappa <0081fd017ff37ff481db81d902806d81cd037ff4800009d703808a80e70B8882 1310 908398860380db804a0B914ea126e02b0Bb585ddabfed20A6e910B5a57282e0f7b0380ec 1311 8121048114815081378185816981aa0B8854a933d84d0Bac9a9dd86ee104813081f180fe 1312 8126809181050380c581cd09280F> DC 1313 181 /lambda <0081c8017fbb7ff4819782e30280e281ce037fbb800009dd0380eb814803 1314 80e980890480e8805480f37fe481437ff70481778002818b804a819780780A6b890B736765 1315 4846460B477b45c846ed03811682140481188243813182ec80cf82e304809182dd80738289 1316 805f82580A9d750B90a2bbd7e4b4048105826180fb81f580e281ce0F> DC 1317 182 /mu <00823b017fb27f2181f381cc0280cc81cc092803800d805f047ff880137fe07fc9 1318 7fc27f7f0B756761308a240Bb073b2b5b3d20480007fb8800b7ff9801e80370B8e4ea834df 1319 410480d9800c810e8066813a80b1048130807c810f801681527ffa04819e7fd981d7803d 1320 81f480730A67880B746a4818262f048167803c81848095818c80b00381da81cc092a04816c 1321 81748154811b812980c9048111809b80d38034809c80270480428012808180c3808b80e803 1322 80cc81cc0F> DC 1323 183 /nu <0081c8017fef7ff781ab81d50280b681330480b7816a80c381c9807881d404802b 1324 81df8001817d7fef81430A9d7e0B8896a6e4c7dc0B9b798c188b030380457ff809a503811b 1325 80a804814f80dc81b1815581ab81a40B7da64fc22fa5048124819881928157810180bd0A23 1326 1d0380b681330F> DC 1327 184 /xi <0081e1017ffd7f4e81be82dc02811d82bb0A84980480eb82de80a382e8807d82b4 1328 0B726d785483400B9164af55cb470480718202803a81a6809381500B526728490c1b048002 1329 80bd7fef8075800780410480367fdc80e3800f81197ffc0Bb66c9e23680b0480b07f628071 1330 7fa9804d7f820B76757b63865b0B9d6cc971e9750480fe7f5c81437f7d815e7fbd0B90a894 1331 db74fc04811a807180838038804c806d0B669a6bc777e60B95b4c0d3f0ec0481ba80d281e2 1332 81b580c5816404806481a1809c820580f1822d048119821f81b881f781be823e0B83a44fac 1333 36ae048144826f8115825c80e9824d0B1fac3efcb4ee0F> DC 1334 185 /pi <008263017ff27ff4824781e802801380910A6d7f047ff580627fde7ff0802f7ff5 1335 0Baf83d0b4e2db0480b880a480d7812380ee8181038172817f03813c80a304813080728115 1336 801f814e7ffe0B9f6ecd79ea8a0Bab9ac3ccd9f80A698b0B6d62400a141a0B5b8e77d67dee 1337 0381c6817e048218817f822e8191824881e00A68880B796f70655d600B657a467d2a7e03 1338 80db81c904806c81cb804181bf8022814d099f048054818c8097818180cd81810480bb8136 1339 80938084805a80550B71745a6e4a7a0B6b8e6eac6fc20F> DC 1340 186 /rho <008219017f9b7f1d81d981d8028094813b0B8daca1dcccf20Ba091cc93ec8404 1341 8199818b8185811d817580db04814e803480e27fcb80498046038094813b027ff47f1d03 1342 803b801604807b7ff980c67fe6810c7ffa04818d801c81e680ae81d881310481ca81b08163 1343 81e480ed81d604805d81c680458158802280e3037f9c7f1d09d80F> DC 1344 187 /sigma <00820e017ff97ff6821981f0028085814b0B98adb6d4e6e80Ba690cf80e76004 1345 8186814d815580ac812c80670480b77fa67ffd804b8085814b02818481990481d1818e821b 1346 8184821a81eb0A6c850B7b71716761620481c181c8815e81d6813481d70480ea81db80a1 1347 81c98069819704801f81567fed80ee7ffd808a0480187fe380e17fd28152803204818b8063 1348 81b780aa81be80f60481c3813981ad8168818481990F> DC 1349 188 /tau <0081a7017ff67ff6818f81e802817e81e90B776d6861535e04811d81c080df81c7 1350 80ab81ca04804081d1800981c67ff7814f0A967e04802481928057818480958181038060 1351 80bd04804f8081802d801180827ffa0480d97fe2810d8041812e80810A6b8c0B6d6148141c 1352 1a048080802d80aa809980b080b20380e9818004814c817c81718179819081de0A6e8b 1353 0F> DC 1354 189 /upsilon <008206017ff17ff581c281d702800881460B8e9f9cbfb7d40B8d8aa795b080 1355 04808c8156801e80ad803d804d0B8d55b333e02b0480e87feb812980148157804c04818f 1356 809081b380e981bf81400481c4816781ca81b181a781cd0B689245883b6b048154818e8180 1357 814b8184811c04818f809b80f57fd9809d802504804d806a80fa814080bb81b20B6ba737af 1358 119a0B5366373225020A97780F> DC 1359 190 /phi <00825d017ff37f238229829d0280f17ff30Baa87d18ef7a10481b5803a81f88077 1360 821780c70482368115822c816e81e881a50481c281c4819381ce816481d5038194829d0959 1361 03813481d70480f981d380c381c8808f81aa04804781818006813b7ff880e7047fde805f 1362 802a800d80a77ff503806a7f2409d40380f17ff302812981b20380af8012048033802e803d 1363 80a58066810704808c816180c781a2812981b20280f9801503815c81b20481cd819881dd 1364 813a81b780d6048194807a8155803580f980150F> DC 1365 191 /chi <0081db017fab7f1c81c181d70280a380ab037fac7f2a09df0380b480340480ba 1366 7ff680c47f32810a7f1f0481597f0981787f9281847fc60A67880B745a601c2b280480da 1367 7f8380d3802280cf80550381c181cc09230380c180d00480bc810a80b881bf807e81d40B65 1368 8a487c356804800f8197800381617ff681310A98780B8ba3a8e9d9d80480988170809f80d7 1369 80a380ab0F> DC 1370 1371 /FontBBox {-107 -236 948 763} def 1372 end 1373 1374 /Dutch801-Italic-DECmath_Italic bsd definefont pop 1375 1376 %%EndFont 1377 1378 1379 %%BeginFont: Dutch801-Roman-DECmath_Symbol 1380 % Bitstream Fontware PSO Font -- Version 1.6 1381 % DECmath Font Version 1.0, created 4-13-89 1382 % 1383 % Copyright 1989 by Bitstream, Inc. All Rights Reserved. 1384 % Copyright 1989 Digital Equipment Corporation 1385 % 1386 % This product is the sole property of Bitstream Inc. and 1387 % contains its proprietary and confidential information 1388 1389 % U.S Government Restricted Rights 1390 % This software product is provided with RESTRICTED RIGHTS. Use, 1391 % duplication or disclosure by the Government is subject to 1392 % restrictions as set forth in FAR 52.227-19(c)(2) (June, 1987) 1393 % when applicable or the applicable provisions of DOD FAR supplement 1394 % 252.227-7013 subdivision (b)(3)(ii) (May,1981) or subdivision 1395 % (c)(1)(ii) (May, 1987). Contractor/manufacturer is Bitstream Inc. 1396 % /215 First Street/Cambridge, MA 02142. 1397 % 1398 % This software is furnished under a license and may be used and copied 1399 % only in accordance with the terms of such license and with the 1400 % inclusion of the above copyright notices. This software or any other 1401 % copies thereof may not be provided or otherwise made available to any 1402 % other person. No title to and ownership of the software is hereby 1403 % transfered. 1404 % 1405 % The information in this software is subject to change without notice 1406 % and should not be construed as a commitment by Digital Equipment 1407 % Corporation. 1408 % 1409 % BITSTREAM, INC. AND DIGITAL EQUIPMENT CORPORATION DISCLAIM ALL 1410 % WARRANTIES WITH REGARD TO THIS SOFTWARE, INCLUDING ALL IMPLIED 1411 % WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL 1412 % BITSTREAM, INC. AND DIGITAL EQUIPMENT CORPORATION BE LIABLE FOR ANY 1413 % SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER 1414 % RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF 1415 % CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN 1416 % CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 1417 % 1418 /n_chars 128 def 1419 /DC 1420 { 1421 /bits exch def 1422 /name exch def 1423 /num exch def 1424 num 256 lt {Encoding num name put} if 1425 CharStrings name bits put 1426 } bind def 1427 /bsd 15 dict def 1428 bsd begin 1429 /FontType 3 def 1430 /FontName /Dutch801-Roman-DECmath_Symbol def 1431 /PaintType 0 def 1432 /UniqueID 440175 def 1433 /FontMatrix [.001 0 0 .001 0 0] def 1434 /FontInfo 12 dict def 1435 /CharStrings 1 n_chars add dict def 1436 CharStrings /.notdef <0F> put 1437 /Encoding 256 array def 1438 0 1 255 {Encoding exch /.notdef put} for 1439 /temp 15 dict def 1440 temp begin 1441 /get-word 1442 { 1443 0 s i get add 8 bitshift 1444 /i i 1 add def 1445 s i get add 32768 sub 1446 /i i 1 add def 1447 } bind def 1448 /get-byte 1449 { 1450 s i get 128 sub 1451 /i i 1 add def 1452 } bind def 1453 /get-name 1454 { 1455 /len s i get def 1456 /i i 1 add def 1457 s i len getinterval 1458 /i i len add def 1459 } bind def 1460 /eval-arr 16 array def 1461 eval-arr 16#00 {get-word 0} bind put 1462 eval-arr 16#01 {4 {get-word} repeat setcachedevice newpath} bind put 1463 eval-arr 16#02 {closepath 2 {get-word} repeat moveto} bind put 1464 eval-arr 16#03 {2 {get-word} repeat lineto} bind put 1465 eval-arr 16#04 {6 {get-word} repeat curveto} bind put 1466 eval-arr 16#05 {4 {get-word} repeat get-name do-char} bind put 1467 eval-arr 16#06 {0 get-word rlineto} bind put 1468 eval-arr 16#07 {get-word 0 rlineto} bind put 1469 eval-arr 16#08 {0 get-byte rlineto} bind put 1470 eval-arr 16#09 {get-byte 0 rlineto} bind put 1471 eval-arr 16#0A {2 {get-byte} repeat rlineto} bind put 1472 eval-arr 16#0B {6 {get-byte} repeat rcurveto} bind put 1473 eval-arr 16#0F {end PaintType 2 eq 1474 {temp begin stroke exit} 1475 {temp begin fill exit} 1476 ifelse } bind put 1477 /do-char-arr 16 array def 1478 do-char-arr 16#00 {get-word pop} bind put 1479 do-char-arr 16#01 {4 {get-word pop} repeat} bind put 1480 do-char-arr 16#02 {closepath 2 {get-word} repeat moveto} bind put 1481 do-char-arr 16#03 {2 {get-word} repeat lineto} bind put 1482 do-char-arr 16#04 {6 {get-word} repeat curveto} bind put 1483 do-char-arr 16#05 {4 {get-word} repeat get-name do-char} bind put 1484 do-char-arr 16#06 {0 get-word rlineto} bind put 1485 do-char-arr 16#07 {get-word 0 rlineto} bind put 1486 do-char-arr 16#08 {0 get-byte rlineto} bind put 1487 do-char-arr 16#09 {get-byte 0 rlineto} bind put 1488 do-char-arr 16#0A {2 {get-byte} repeat rlineto} bind put 1489 do-char-arr 16#0B {6 {get-byte} repeat rcurveto} bind put 1490 do-char-arr 16#0F {closepath exit} bind put 1491 /eval 1492 { 1493 /s exch def 1494 /i 0 def 1495 { 1496 /t s i get def 1497 /i i 1 add def 1498 eval-arr t get exec 1499 } loop 1500 } bind def 1501 /do-char 1502 { 1503 t s i matrix currentmatrix 1504 2 {6 index} repeat translate 1505 2 {8 index 256 div} repeat scale 1506 end CharStrings 5 index get 1507 temp begin /s exch def 1508 /i 0 def 1509 { 1510 /t s i get def 1511 /i i 1 add def 1512 do-char-arr t get exec 1513 } loop 1514 setmatrix 1515 [/i /s /t] {exch def} forall 1516 5 {pop} repeat 1517 } bind def 1518 end 1519 /BuildChar 1520 { 1521 exch begin 1522 0.2 setflat 1523 Encoding exch get 1524 CharStrings exch 1525 2 copy known not { pop /space } if get 1526 temp begin eval end 1527 end 1528 } bind def 1529 FontInfo /version (Fontware-PSO 1.6) put 1530 FontInfo /OutlineResolution 1000 put 1531 FontInfo /Copyright (Copyright 1989 by Bitstream,Inc. and Digital Equipment Corp. All Rights Reserved.) put 1532 FontInfo /Notice (Dutch 801 is a registered trademark of Bitstream, Inc.) put 1533 FontInfo /Date (1989/4/13 12:16:50) put 1534 FontInfo /FullName (Dutch 801 Roman DECmath_Symbol (TM)) put 1535 FontInfo /FamilyName (Dutch 801) put 1536 FontInfo /Weight (Medium) put 1537 FontInfo /ItalicAngle 0.00 put 1538 FontInfo /isFixedPitch false put 1539 FontInfo /UnderlinePosition -100 put 1540 FontInfo /UnderlineThickness 60 put 1541 32 /arrowleft <0083e801803e808c83a981d00283a9811308b8077d03038179819e0A6ab3 1542 03803f81550834038163808d0A96b30380ac81130782fd0F> DC 1543 33 /arrowright <0083e801803e808c83a981d002803f81130782fd03826f80c00A964d03 1544 83a9810908cc03828581d10A6a4d03833c814b077d0308480F> DC 1545 34 /arrowup <0081f40180577f53819b82bc0281167f540682fb03816881830Ab39503811f 1546 82bd093403805781980Ab36b0380dd824f067d0509b90F> DC 1547 35 /arrowdown <0081f40180577f53819b82bc02805880770380d47f5409cb03819b80770A 1548 4d960381167fc10682fc0947067d0403808a808d0A4e6a0F> DC 1549 36 /arrowboth <0083e801803e808d83a881d10283418149077d66038179819e0A6ab303 1550 803f81550834038163808d0A96b30380a7811607829a03826f80c00A954d0383a9810908cc 1551 03828481d10A6b4d03834181490F> DC 1552 37 /arrownortheast <0083e80180377f4b83b082c40280377f740Aa85803835d8248038306817d0Ab4 1553 6b0383b1828f0A4bb5038255824d0A954d03833582700380377f740F> DC 1554 38 /arrowsoutheast <0083e80180377f4b83b082c3028037829c0383357fa003826a7ff60A6b4d03 1555 837c7f4c0Ab5b503833a80a70A4c6b03835d7fc803805f82c40A58580F> DC 1556 39 /similarequal <0083e80180aa80bf833d81c00280aa813204811a817f8160819581e5816904 1557 827f813682b08126833e818208bf0482aa815a828b816e81e781a104816b81ca811681b4 1558 80aa817108410280aa80bf07829408b7077d6c08490F> DC 1559 40 /arrowdblleft <0083e8018027803183c081dc02812881710Aeabe0A65ae038028811808 1560 5f03817780320A9bae0A16bd07829808b3077d100A20b70Ae0b80782f008b2077d68 1561 0F> DC 1562 41 /arrowdblright <0083e8018027803183c081dc0282c08171077d68084e0782f00Ae048 1563 0A2049077d10084d0782980A16430A9b520383c080f708a103827181dd0A65520Aea42 1564 0F> DC 1565 42 /arrowdblup <0081f40180237f3b81cf82d302809081d3067d6909b20682ef0Ab8e00Ab7 1566 20067d1109b30682970Abd160Aae9c03810a82d3095f03802481850Aae640Abeea0F> DC 1567 43 /arrowdbldown <0081f40180237f3b81cf82d3028090803b0A42ea0A52650380e97f3c09 1568 a10381cf808a0A529b0A4316068298094d067d110A49200A48e00682ef094e067d68 1569 0F> DC 1570 44 /arrowdblboth <0083e8018027805983c0820402812880c50781970A17430A9b510383c0 1571 811e08a203827182050A65510Ae943077e690Aeabd0A65af0380288140085e03817780590A 1572 9baf0A16bd0280d080f80A20b70Ae0b70782480Ae0490A2049077db80F> DC 1573 45 /arrownorthwest <0083e80180377f4b83b082c40283b17f740380b3827003817e821a0A95b303 1574 806c82c40A4b4b0380ae81680Ab49503808b82480383897f4c0Aa8a80F> DC 1575 46 /arrowsouthwest <0083e80180377f4b83b082c30283b1829c0A58a803808b7fc80380e280920A4c 1576 950380377f810Ab54b0381937fc30A6bb30380b37fa00383b1829c0F> DC 1577 47 /proportional <0083e80180f1807082f681e302820781470481ea810b81c680af8179 1578 80ac0B3b7d11bb11fb0B80c4affcf5fd0481be81a481e9817a8207814702822a80ee048257 1579 8094828b805582f6808008a9048291809c826880ba823b8113048251814182678171828c 1580 81940B9e9dc49eea9708a40482858202824b81cc821881690481f881a881cc81e7817d81e3 1581 04811e81df80f1817f80f2812a0480f280d381298074818980710481d9806e820780b0822a 1582 80ee0F> DC 1583 48 /prime <00811601802c80aa80e9826902804780aa0380db81f70B91a79be267f10B448f 1584 2b56242703802c80aa099b0F> DC 1585 49 /infinity <00834101806b806b82d681ea0281a680ec0481cc80ae81f7806a8249806e04 1586 82ab807282d680d682d6812c0482d58184829f81e7823e81eb0481eb81ee81be81a8819b 1587 816804817781a7814b81ec80f981e904809781e4806c8181806c812a04806c80d380a3806f 1588 8104806c0481558068818380ae81a680ec0281838145048167810c814580b880fc80b40B3f 1589 7c15b715f30B80c1aff4f0f404813e819b81658175818381450281bf81110481db814a81fd 1590 819d824681a20Bc184eb48eb0d0482b080b28215808181bf81110F> DC 1591 50 /element <0083e80180aa8000833d826c02833e800008ba077e9b04813d803980f2808d 1592 80e4812507825a08b3077da60480f781ea8144823281d9823307816508b9077e9b04811b 1593 826c80aa81f480aa81360480aa8079811b800081d980000781650F> DC 1594 51 /suchthat <0083e80180aa8000833d826c0280aa80000781650482cd8000833d8079833e 1595 813604833d81f482cd826c820f826c077e9b08470781650482a5823282f081ea8304815807 1596 7da6084d07825a0482f6808d82ab8039820f803a077e9b08460F> DC 1597 52 /trianglelgup <0083e80180757fde837282e30280757fde0782fe0381f482e40380757fde02 1598 80ba80080381f4828403832d8008077d8d0F> DC 1599 53 /trianglelgdown <0083e80180757f2b8372823002807582310381f47f2c0383738231077d0202 1600 80ba82060782730381f47f8b0380ba82060F> DC 1601 54 /slashnegate <0080000180007f4b81a282c30280347f4c0381a382b10A4c930380007f5f0Ab4 1602 6d0F> DC 1603 55 /mapsto <008000018024808180b981dc02806181dc0944067ea509bc06809209d808b809 1604 280680910F> DC 1605 56 /universal <00827d017ffd8000828082ce027ffe82cf038108800009ec03828082cf09 1606 160381ca81f7077ee503806282cf091c0280cd81a40780e003813e80670380cd81a4 1607 0F> DC 1608 57 /existential <00827f0180298000823282ce02823380000682cf077dff082707819f06 1609 7f29077e80082c078180067f0f077e58082607820a0F> DC 1610 58 /logicalnot <00834101807b80af82c581a402807c816b07820f067f4509ba0680f507 1611 7db708460F> DC 1612 59 /emptyset <0081f401801c7fae81d782fe02816782ff0A663204812482c380f682c580ca 1613 82ba04806c82a1803c8244802a81eb048013817c801780f1803b80860B8d59a439bd190A59 1614 1009aa0A9edb0480c67fed81027fef81347ffc048191801481ba807b81ca80d10481df8140 1615 81e181d081b6823a0B70a659c43ce00Aa2e509530280a9803403815d8267048174822f8178 1616 81f6817881b90481798155817d80ee816c808b0B7850671431060B52742b7f0ca3028141 1617 828e038092806204807580e8807081ac808c82310B8ab1a0e6d6f30Ba489c482df6a 1618 0F> DC 1619 60 /Rfraktur <00831a01801d7ff582ee82f50282bc81ea0B8781a484ab8b0B8586828f7a90 1620 0B70835e804f880B658e6bb46dcc0482af833281a48322817a825604814f8311807a8330 1621 802c8284047fd281bb812b819b804281210A8b6b0480ac813b80f8818780a781ee048087 1622 8216805882398052827004804c82b6809f82e880dd82cf04811882b78128826f8131823704 1623 813d81e98140819a8142814c04814580e38155802380c5800f0B6b7d477e3a930B709a8bb3 1624 94ca0B8ea36fcb49c70B487a4433570b0B9851cb39fd380480f17ff4812b80178152804a04 1625 819480a2819e813c819a81a60Ad8950B9a68a74bac280482298117822180c98228807d04 1626 822c804f8238800d82687ff80B9776a894b4a20Ad2d90A70900B6e6e554b37540B618b63bd 1627 63d604827680f48287819f824c81d10Af09902828f81f703819881bf048191820381878251 1628 81a882900B95a8bdcbedc504825b82cc82438275824a82470B865ea33ac5300F> DC 1629 61 /Ifraktur <0082bb0180347ff4829382f502810081a60480ad81a2806a81e2806e823604 1630 8071828480b882d6810b82b0048160828a818b821581f1821104824d820d8289825a8271 1631 82b1096b0B87527c113f160481db824c818f82d3813582ee04803683387ff881858100818f 1632 089702804980020B82a684d69df60B8e91a49dba960B9b79a85fb6490480fa802181268000 1633 81677ff80481bb7fec82138004824980480482bb80d681ff814881f5819d0481ed81eb8280 1634 81ed827d8152099504829881e48218821481d381c80481ae81a081b3815f81cd81320481ed 1635 80fc822580cd8233808d048243804781f4801181b6800d048169800881488051811f808504 1636 80c680f5802a80bc8035800209940F> DC 1637 62 /latticetop <00830a018039800082d082ce02803a82cf084607812e067d6b09ba06829507 1638 812e08ba077d6a0F> DC 1639 63 /latticebot <00830a018039800082d082ce02803a800007829608ba077ed2068295094606 1640 7d6b077ed208460F> DC 1641 64 /aleph <00825a0180217ff1823782a1028022801c0A826804807c7ff580e0801280b7 1642 80800480a680af807880d68082810c0B87a7a7c2c3db04810f8120815b80dc81a180900B9e 1643 60bc3dca120B8572835b90510B857c8e8391870B94969abc9ada04822680b481a7811e8166 1644 815e0381e381e60Bab619a3fae450B9588a4b0a6c40B85a96cc74ee00B6a914ca243be0B7e 1645 877c9373920B6581594a58360B7e539d3ebc22038152817004811481a880d481e2809f8223 1646 0B6c995ab450d30B7c8d7ea272ab0B6b905944573c04802981ff807681b880b1817a048059 1647 812c802680f48045807a0B8c519e2c5d220F> DC 1648 65 /Acursive <008276017f647f96820582ec02818e82c404817d824d811e819f80de813d0B57662e 1649 4f023a0B9b7db57acf7904808980b980047feb7fb98006047f76801d7fd580a37fea80bd0A 1650 6c7e047fa780887f3b7ffb7f717fad0B975ec369e07c0480277fe08095809780cb80ee04 1651 80fa80eb812980e9815880ee04815080b181488073814580350B7f6a804c95400481887fd7 1652 81f2806d820680860A7b940B746f4f31344d0481a2807b81ad80e081af81010B9f88b99ad2 1653 ac0B667c4d7a33790481bc81c581d1825481fd82ed0B5b71376311570280f2812f048127 1654 818a815881e88181824904817381e881688187815f81250B5b7e3783138a0F> DC 1655 66 /Bcursive <008265017fe27fd6826482e9028066826c0A7f6d0Bbda9e1b7cd5d0480a281ec808c 1656 81a28073815a04804e80ee801880887ff0801e0B786a6c50783a0Ba19ac3b4e5cf048072 1657 8083809880de80bf813a048107813181718121818280cb0481908088816c803f8143800b04 1658 80e2801380c4806f80d580c30A74770480a2806380a47fea81177fd604816f800f81de8070 1659 81da80e60B7ebc58e823fe0481d181a7824481fc825f82690B88a48bd572f30B6e974e8c39 1660 8004819e82a0812181ff80de81980480f481d3814c82b1813282d90B798a6b8662820480d8 1661 82bc809c82958066826c0280c9814a0480f881a1812381e38169822c0B8c8cd2dbefcc0B95 1662 778e548b430481d581eb81a481a38168816d0B73856589578b0A0a520F> DC 1663 67 /Ccursive <008222017fee7fe4824c82da02819380db04817880a581518075812680490B6a6a3c 1664 6c206f0B50852ea01ccc04803880ec8071816380a881bb0480d6820681328282819482900B 1665 a585ca70d34a0481f3822a81d081fa81b181d904818081a48141817f80fb816d0A8a6404 1666 81578172819b81a481da81e1048209820f825a8261824b82ad0B7b9866a84eac0B67844c7d 1667 347504814582a180d48233807d81c504803281667fe080e07ff080600B8648a716df0804 1668 80eb7fc28179807781c680e40A4d770F> DC 1669 68 /Dcursive <0082d2017fce7fcd82bf82db02802b817504804281ab807a8238809e82580480d4 1670 8289814f82958194828e0B5e623a47152d0480eb81a480a28110806a80760B6c8547963385 1671 04800480647fd47ffd7fcf7fd80B7c54fdc3fec40480a5800b81017fdd815c7ff60481d5 1672 8016826080a08296810c0482d1817f82d28219827b827f0481f1832180f982d48073825704 1673 8021820c801a81e9802b817502808f806d0480ea8121814281da81a582890482a0823b828d 1674 810d81f6806e0481a4801880ed8053808f806d0F> DC 1675 69 /Ecursive <008217017fef7fe5821982d602817780d50B725a5e3747150480fc8043805c802e 1676 8057809e04805280f080ab813b80f381510Ba089be85de800B9e97bcacdbc10481688191 1677 80f381ad80f182020B7faba7e9d0fa048191829e81ff8252818d82010A90780481c58215 1678 82218259821982940B7ab432cb06c004815882c480b48233809781f304807781a980a58180 1679 80e6816604809281458040810f800d80c3047fe580847fe2802e80247fff04804c7fe38083 1680 7fdf80b17fef04811e80138175807681a780db0A507a0F> DC 1681 70 /Fcursive <00822e0180237fe0825c82db028061820609ac0B85a890f2bffd04811f82958176 1682 825c81c882530B686c505f325504816981e9815881ab8145816d048117817180ea817b80bd 1683 81860B616a41561f430480a3813c80ea81348132813104811880de80fd808b80d4803e0B5c 1684 7835852aac0B76a38ac69ce30A6f7904805f809c802b805e802480210B7b56973fc04004 1685 80a07fe280f08023811980490481498077816780f0817c812b0Ba095c1a9e2bd0B677f4f7f 1686 36810481ad81b981cc820681f182510Ba492c8a5ecb704820e8297814e82e4811782db0B55 1687 7828460f270B625a4d303b040F> DC 1688 71 /Gcursive <008253017ff57f28823a82dd0281a981c60481db81ef823d825b823a829c048237 1689 82e081eb82e481ba82d304814e82ad80d4823f808e81e8048043818c7ff681047ff5808804 1690 7ff5803580197fe680747fdc04805d7fa180587f6180767f290480b67f4380ea7f6f8119 1691 7fa20481597fe8817b8034819b808d0481c7810881c38109820e816a0481d2816c81968172 1692 815b817b0A264504812c813f8155813c8180813704815a80e28123807d80df803e0B4b6c18 1693 8703bc048025811480c48223814682740481d282cd82178243818e81c6099b0280857fdb04 1694 80e7800081258061815b80b60A847d0B76696a535f3d0B726269435e240481047fd580e5 1695 7f8e80ab7f670B5d9d51c75af40F> DC 1696 72 /Hcursive <0082d2017f2b7fc582d382d1027f2c800e0Aee38047fe37fe8806d801b809a806404 1697 80c680ab80ce80ea80e98132048133812b817f812681ca81290481a880de816d80488181 1698 7ff904819c7f8b822f8049824780690A79960B7874452a324d0481da807e820b80f7821e 1699 81260Aedbb0B627e447d257e0B899795ad9fc5048279820782a0826c82d482cb0B57712c66 1700 025b048227823d820181d081dd8163048193816a8149817080ff817504811581ab818282a3 1701 816582c90B729159824a7a0480f982a680c28287808f8264086e0B9187c4a6d2940480f3 1702 824f80bc81b180ae818c0A16390Acf7704806b80d9804c80698001801a0B7371646b4f6a04 1703 7f9980037f6280087f2c800e0F> DC 1704 73 /Icursive <0081af017fd47fa481cc82d1028068820f0B9187a08fb0980B8a9e95bba7d40Bab8d 1705 ca8df68a0480c281e380b8809680367ff30480018018801a8090803380bf0A4d5a047fe5 1706 80587fb37fe47ff07fa50480607fc680c4805b80ef80c004810d8108812481538139819e04 1707 814d81e5815f822e817f82710B92a6afc2cedd04819482ce813682df810582c50B576b324b 1708 14280B69655c434f220F> DC 1709 74 /Jcursive <0081db017fcb7f29820582cf02820682c504819582bf816082f480ff82a40480aa 1710 825e805a81ea805181790B7d558d2fb71f0Ba8a3cdc8eff00B5f6b378130a604809981f9 1711 80c6824680f2827e04811c828881478287817282810480fe819f80c87fff802e7f6a047ff1 1712 7f99802b8044805080770A6276047ffc80247fbe7fbf7fcd7f5e0B836d8d589e4e0B8e78a6 1713 89b28f0480687f6180ae7f9d80d97fe6048117804f814180ea8165815f04818181b881a4 1714 824181d682900B8d949fa5b0b50F> DC 1715 75 /Kcursive <0082a4017fda7fc482b182d802807c807a04809a80ba80b480fa80cb813d0B94749d 1716 5ea6490480ca80d780a380a9807c807a027fdb7fc40Ba599cbb3f1ca04807d806180bb80aa 1717 80fc80f004811080bd81577fdf81817fd50481a77fca81ff803d821680600A7b950B716c53 1718 40344e0481958058815581088143813f0481bb81908275821a82a782a50B868f93a97fb20B 1719 75862e3f24360481e7822d818f81c3813881590B5d74396c14690480f381ac81278232813e 1720 829d0B838e859e7eac0B788c6c8b60850480dc82ae80a28283806982580A866d0B938ecdb5 1721 cb820480b9820c808581848074815104804680ca801880447fdb7fc40F> DC 1722 76 /Lcursive <00825a017f8a7fab825682dd0281a081d20481d981fa8255825f825782ac0B81b63d 1723 b517ac0481aa82c8816a82a181328279048100825680de822e80c481f704808d81848070 1724 81068040809004800180787fc7804e7fa380150B79755f536a450B8a73a783b187047ff7 1725 7ffb801f80238049804e048093802480d57fbd81237fac0481877fda81d8802e8211808c0A 1726 4b760481c6804e81a8801f81797ffe04810e801480db8084808480950480dc811c80e1815a 1727 811e81ed0481358224814b825f8175828a0481e282b482298251818e81da0A92780F> DC 1728 77 /Mcursive <008380017f357f7b833082dc0280bb82760B948bdbb3e88b048145821b80328057 1729 7feb80150B6d6d535a365c0B6f82648c619b047f7a80427fa7807a7fc380a20A6c7d047f7b 1730 80657f34800e7f367fbc0B815e9640ba3f047fab7f7b7fda7fb97ff97fe3048069807a80e8 1731 816d812d822004812b819d8126811b81218098048121808281137ffe812e7ff40B9777b2a1 1732 bbae0481b3808081f180e98231814e0482548186827781c0829981f90482798174826280ed 1733 824d8066048248804782347ffd824d7fe00B8a739a72a87a0482ac7ff782e3803b830b806a 1734 0A79930B74714b38345104829d806e82f6820382ff822e048308825983138284832282ad0B 1735 858c919f8dac0B7e847b8477820482fd82c282d282ac82a782960482a382158236817d81f4 1736 81160481e580ff81ac809f819580880B7b7c747b718104817c809881968271819082ac0B7e 1737 9279a865ac04814b82e280de829b80be82890A7d6d0F> DC 1738 78 /Ncursive <0082d2017f797f7782c482d902806082540A846a048081825980cb829180f082650B 1739 926c904e8b360480e981b780968115806980bc048050808b801a801e7fe380030B777c6677 1740 5e810B74927eae84bf0B8eaaabcbc9ea0A6277047fc2806d7f9280337f807fec0B79636e17 1741 9a0d0Bae74eedefef604807c808380e981708117821e048155815e817e809181967fc90A88 1742 810481e6803c822780b3825d812e048281818082dc825e82c082b904829c832482058260 1743 81f382470A8a6f0B9197a4afc1b80B9f88b873c0570482a081d1821780cf81df80670481c5 1744 811e818d8243813382da0480e382bd80a1828b806082540F> DC 1745 79 /Ocursive <00829f017ffc7fe082a482da02813b829b0480aa8240802381a6800380fa047ff6 1746 80ad7ff48050802f801504805c7fe980a37fd780e07fe50481c2801882d4814f829d824304 1747 828182bf820b82fc819782c904816b827b8127823a80f181f20A99810B9aa5b6cadde304 1748 8191827281cf827d81f9825b04828681ec820780c0819b8066048135801080868033806e 1749 80c204804f817680c1822e814b82980A70830F> DC 1750 80 /Pcursive <008251017fee7fb9825482d40280b280f70480e08168812e821d819682600Ba297c7 1751 96cf670481fa81d381968103811580ed0B5e7b3d7f1d8a02806a82410B8d8bcbb3d49104 1752 80cc821c80788151806581200B6b71566340560B8c749969a85e04803880a57fe37ff27ff0 1753 7fc80B866f9c70aa740480537fce80937ffd80c4801c0A819604802a7fc580838077809e 1754 80bf04818480a9827f81b0825082910482258360812c8213810d81e10A7b830481188214 1755 814d829c813f82ca0B7d87758b6e8a04811582cf80838269806c825a0A7e670F> DC 1756 81 /Qcursive <0082a4017fd37fa7828782d502821b80450481b67fc281467ff380be802a048128 1757 805e8191809581e880e704823d8139828381a38287821c04828d82cb820582f9817682b504 1758 80f08274806181ed803e8156048031811e803080d8805b80ab0480b5804d815080d28186 1759 811b096404814180e080d680b980b1810e048081818180da8259815982830481d482ab821c 1760 824e821181d70482028121814d806a80a0803a0B5b8d379d11a60A22210Ba96bc568f07404 1761 809a7fd081177f91817b7fae0481c07fc3820e800b823a80440A61810F> DC 1762 82 /Rcursive <008296017ff77fc9827882db02807482440B918cb3a9c8950B8e728c5b8a490480b5 1763 81b2806880f6803f808904803680727ff57fdc7ff87fcc0B817e847d867e0B8482f2ddfee6 1764 048095808780b380dd80d581320480f480fb811280c3812d808b048138807481717fed818d 1765 7fdc0B8c79977ba2820481d27ff6820f8042822a80610A79970B6e6b514230520481a7805e 1766 815481168142813e0481c881698229819d82608224048271824c828f82b3825f82d404820e 1767 830a813481e7811081b40A7e840481878338815f82f28072825b0A82690280dd813a04810f 1768 81968166821a81b9825b0B9590bba8c681048210821681c981ac8199817d0B5e6041601565 1769 0B65734a652f580F> DC 1770 83 /Scursive <00820b017fe07fdf821a82d60281aa81d70481c681f082178254821b82760B81867b 1771 8f78940B6ea74cc321ca04810382f37fe781b680b181400480f0811c815b8105815480a90B 1772 7b416131232404807380307fdf8083807080fa0A5c7d04802180c17fed80777fe180320B7a 1773 64bd3cd0360480ef7fa7822380f88161816a048126818d80b381a880b582000B80c2a0dad9 1774 eb048184828e820c8246819081da0A9a7d0F> DC 1775 84 /Tcursive <00828a0180357fdb82ce82d9028035825b0A8d78048077827a8094827d80d4827004 1776 811682628157824d819982420480ea81db7fe981208087803d0B9562cc19fd1f0Bac86d9a8 1777 f9c20481c2805581f9809a822680e50A4f7a0481d4809d81a98062817180300481118041 1778 80cc809580ca80f60480c78192814181f081b8823c048229822c82a5825c82cf82ce0A768b 1779 04828082cb823f82ac8201828c0481958292813382c880ca82d904809b82aa806982848035 1780 825b0F> DC 1781 85 /Ucursive <0082bb0180077fe2829b82de02806982600A856d0B9c90d4b3d4780480c181f3802e 1782 8082800e801b0B755e793da74c0480ae800e813b80bf8180812c0A847e04816b80e18146 1783 8048815a80000481787f96823080658238806e0A79920B6b692e2d1d6a0481af80d68226 1784 81cb8251822c04825d824682a282cd829b82dc0B7b880c5804540481d681ea817480f980c4 1785 80750B2b414cb25bda0480c1812b8147826b814882b10B80907ca36ba90B798273816e7e04 1786 80f282c28095827e806982600F> DC 1787 86 /Vcursive <0082390180387fd8825e82da02803982460Bae9ce2afe9660480a981e3808f815d 1788 8084811904807a80dc8070809e806480610B7c6e785c76490B7c5aa019cb380480e4800d 1789 814d80aa817580ed0481a1813681c7818381ed81cf0Ba790cca6f1ba0B648d51a046bc0B8e 1790 a59ecaa0f10B81917bb262a10481f782b681a3823481ce81f60481b381a68127807280e4 1791 80590B526f5bb95ece0480d681318126823d811782b80B7e8c7c9b6f9f0480ed82dd804d 1792 826a8038825c0A816a0F> DC 1793 87 /Wcursive <00831801802b7fd7835082dc02802e82460Ba297d6abe5730480a581f4806e80f7 1794 805f80ae048056808480297ff3806a7fdb0B9b76b48ec5a004810b8060814f80dc81958153 1795 0B7a5e733c6d1a04817480ab81618069815980260B7d67793a9b330481ef7fbd82c58175 1796 82ec81c60Ba293c3a7e5bb0B658c539f47ba0483218251834d82e3831c82dc0482f382d5 1797 8274823b82c981da0482b28191822c807681e880560B546b549f58bb0481ce80f4822e827c 1798 822082c20B7d8c739667960481f282d8819682958185828a0B9971a55ca83f0481b28215 1799 81a981c0819381900481708142812080c980ee80810B76715c5547660B708d76ae78bf04 1800 80c3813c80ed81cf810382650B829190e179ee0B7c82768371810480c582c580518272802c 1801 82590A826d0F> DC 1802 88 /Xcursive <0082d2017fa27fb982a482de028074824b0A866b048093824d80d8828e80fc826304 1803 81248233812081698122812304810180fa80398009800080020B717e678862950B75a27fce 1804 8bee0B8da3a1c0bbdb0A778a047ff280c17fc980927fb38058047fa480307f947feb7fb4 1805 7fc60B8f6ea874ba7e0480507ff980d980a58125810104812880bf81247fe8817a7fd40Ba9 1806 76d99af6af0482378039826b8082828d80d50A4e76048245808a8221805381ef8025048179 1807 804d818180f4817c815a03820b820a0B806883548c3e04823f81e2826b81f7829782090B5e 1808 9757c458eb0482f883088257830a820d823d038179817b04817981bd81808283816582b80B 1809 779066a252a304810a82dc808f82668074824b0F> DC 1810 89 /Ycursive <0082710180377f2b82ba82e002803882680A836f0B968bbc9ed48c0480b982458098 1811 81a8809381880480818128806680c3805880640B7e6c7b5580410B86629d52b94b048075 1812 7fc080537f8a805a7f4f0B845d9354b0670480c07f5780f27f83811d7fb20481497fe28162 1813 801e817c80590481d4811e823d823482ba82de04828782c9825482b6822082a30481ea821b 1814 81b48191816d811104815780e98112808080f0806f0B7178607b57890B6d9f76cc7bee04 1815 80d5817581218237810a82c40B7d9273a25f9a0480be82cf806082848038826802815680cd 1816 0A837f0481308053810a7fbc809f7f6d0480897f96808c7fc2809c7fec0480e18014812e 1817 8086815680cd0F> DC 1818 90 /Zcursive <00824c017fbb7fba827582d902806782230Ab2870B8b9897b0aac404811a827e816d 1819 825e81c4825c0380358081047f8d80407f9f7f7b80248034048072802e80a57fd480f27fbf 1820 0481647fa181bc803381e080870A567a0B7a5f6c405925048158800f811b802d80eb80450B 1821 5b9239aa13b90B7186658655810381f1825604822d8261829082b5827182d30B679a236013 1822 500481c082ae817f82c8813d82d80B6e84627b54700480d2829a8097826280678223 1823 0F> DC 1824 91 /union <0083e80180bd7ff5832a828802832a82880946067e9c0482f080ea82e780aa 1825 82be807e04828a8045823f802e81f4802e048155802e80f7808480f88124068164094606 1826 7e9c0480bd806681377ff681f47ff50482b27ff6832a8065832a81240681640F> DC 1827 92 /intersection <0083e80180bd8000832a82930280be800009ba0681640480f782048155 1828 825a81f4825a04823f825a828a824382be820a0482e781de82f0819e82f08164067e9c09ba 1829 06816404832a822282b1829381f48294048137829380bd822280be8164067e9c0F> DC 1830 93 /unionmultiset <0083e80180bd7ff5832a828802832a82880946067e9c0482f080ea82e780aa 1831 82be807e04828a8045823f802e81f4802e048155802e80f7808480f88124068164094606 1832 7e9c0480bd806681377ff681f47ff50482b27ff6832a8065832a81240681640281db809609 1833 b206809407809408b3077f6c068094094e067f6c077f6c084d078094067f6c0F> DC 1834 94 /logicaland <0083e801807d7fb8836a829c02820d829c094e03807e7fb909bb0381f4825703 1835 832f7fb909bb03820d829c0F> DC 1836 95 /logicalor <0083e801807d7fb8836a829c0281db7fb909b203836a829c09450381f47ffe03 1837 80b9829c09450381db7fb90F> DC 1838 96 /turnstileleft <0082630180378000822b82ce028038800009b906814a0781bb08ba077e4506 1839 814b0947067d310F> DC 1840 97 /turnstileright <0082630180378000822b82ce02822c80000682cf0946067eb5077e46084607 1841 81ba067eb609ba0F> DC 1842 98 /bracketleftbt <0082100180e67f2581cb83080280e78308067c1e0780e408bf077f5e 1843 0683a3093e0F> DC 1844 99 /bracketrightbt <0082100180447f25812983080281298308093e067c5d077f5e084107 1845 80e40683e20F> DC 1846 100 /bracketlefttp <0082100180e67f0781cb82ea0280e77f0709c20683a30780a208c007 1847 7f1c067c1d0F> DC 1848 101 /bracketrighttp <0082100180447f07812982ea0281297f070683e3077f1c084007 1849 80a2067c5d09c20F> DC 1850 102 /braceleft <0081f40180557f14819d82fb0280dd7fbd0480dd7f2e81167f17819e7f15 1851 089a04813c7f33812a7f50812b7faf06808b04812b80b3812080e980a381080481218126 1852 812b815d812b81d506808c04812a82c0813d82dd819e82e2089a04811782fa80dd82e080dd 1853 8253067f530480dd813c80bd81238056811708610480bd80eb80dd80d480dd8068067f55 1854 0F> DC 1855 103 /braceright <0081f40180557f14819d82fb0281167fbd0680ab04811680d4813680eb 1856 819d80f8089f04813681238116813c811681a60680ad04811682e180de82f9805682fc0866 1857 0480b682dd80c982c080c98261067f740480c9815d80d38126815081080480d380e980c9 1858 80b380c9803a067f750480c97f5080b77f3380567f2f08660480de7f1781167f2e81167fbd 1859 0F> DC 1860 104 /angleleft <00814d01801c7f008131830f028108831003801c81080381087f010Aa992 1861 038062810803813182fe0A57920F> DC 1862 105 /angleright <00814d01801c7f008131830f02804583100A576e0380eb810803801c 1863 7f130Aa96e038131810803804583100F> DC 1864 106 /bar <00825a0181177f0f814183000281187f1009aa0683f00956067c100F> DC 1865 107 /bardbl <0083e80181807f14826782fb02818082fc067c1909ba0683e7094602822e82fc 1866 067c1909ba0683e709460F> DC 1867 108 /arrowupdown <0081f40180577f14819b82fb0281167f8206830c03816981c20Ab395038120 1868 82fc093403805881d70Ab36b0380de828e067cf403808b804e0A4d6a0380d47f1509cc03 1869 819c80380A4d960381167f820F> DC 1870 109 /arrowdblupdown <0081f40180237f1481cf82fb02816480140681e70Abd160Aae9c03810a82fc09 1871 5f03802481ad0Aae640Abeea067e190A42ea0A52640380e97f1509a10381cf80620A529c0A 1872 43160281317fbd0A49200A48e00682960Ab8e00Ab720067d6a0F> DC 1873 110 /backslash <0081f40180297f1381cc82fc0281987f130Ab49403805e82fc0A4c6d038198 1874 7f130F> DC 1875 111 /wreathproduct <0081160180377fb680dc81f90280db7fb708a00B4585229913d404805d806f 1876 8077809d80a180cf0480d6810e80ed814680d2819a0480bb81e1807d81fc803881f9085e0B 1877 b57fda6beb340480be813580908106805c80c904803380a28032804c803f801b0480567fca 1878 808f7fba80db7fb70F> DC 1879 112 /radical <0083e80180267c7e83ec80300281df7c7f09980383ed800908a70966038207 1880 7cf00380df7f260380277ec80A8f610Aebb60381df7c7f0F> DC 1881 113 /coproduct <008300018017800082ed82940280178294086c0Bc97be276e228067e450B8034 1882 652c1e27086c0782d608940B3a851e8c1ed90681bb0B80ce9ad3e2d80894077ed1086c0Bc5 1883 7ce171e227067e5704821f801b81e4802581928026048131802680e4801180e5807e0681a9 1884 0B80cd9cd4e2d90894077ed00F> DC 1885 114 /gradient <0082c90180177ff582b582940281707ff60382b68295077d6203815e7ff6 1886 099202818a80940380a982680781c203818a80940F> DC 1887 115 /integral <008112017fa77f4b816b82f502815482e30B61983396118604808782bb 1888 80748241806981e5048059815c805c80d180578048048055801a80557fb6803a7f8e0B726c 1889 5a6d4f820B759672ab55ae0B4586384061200Ba068cc69ee7a04808b7f86809e800080a9 1890 805c0480b880e480b5816e80bb81f70480bd822480bd828b80d882b30B8d93a794b17d0B8b 1891 6a9055ac530Bba7ac7c09fe00F> DC 1892 116 /unionsqr <0083e80180bd8000832a828802832a82880946067db2077e0806824e094606 1893 7d7807826c0682880F> DC 1894 117 /intersectsqr <0083e80180bd8000832a828802832a8000068288077d94067d7809ba06824e07 1895 81f8067db209ba0F> DC 1896 118 /reflsubsetsq <0083e80180b57f85833d828a02833e801e08ba077db20681f907824e08b907 1897 7d78067d940782880280b67f8607828808b9077d7808470F> DC 1898 119 /reflsupersetsq <0083e80180b57f85833d828a0280b6801e07828806826c077d78084707824e06 1899 7e07077db2084602833e7f8608b9077d7808470782880F> DC 1900 120 /section <0081f40180387f8381bb82c30280e7805f04810c803f814d800f81407fd704 1901 81347f9d80e87f9080b87fa40B5d906d9f7eb20B98998ac36acd048045803d80307f9a80cb 1902 7f860481137f7c81757f9581887fe504819a802d81608064812e80900481638090819a80a7 1903 81b180d90481d28125819d8169816681980A2aca0480e6820580ab823280b3826f0B88b4c1 1904 c3edb60Bd964503593050Ba863dc89d8b604818582a5813f82c3810282c30480b582c38065 1905 82938069823e04806c8201809c81d980c581b304809181b2805c819c8044816b0480208120 1906 805880da808f80ab0Ad83402808f81220B60b06af3adf80480f4819f814a814a8165812004 1907 818980e8816f809f812680aa0480f980b080a780fe808f81220F> DC 1908 121 /dagger <0081f401802b7f7381c882c30280bf81190480e3807280ea801c80ee7f7409 1909 9904810880018112808f8135811904811481518106818c810581cd0Bcc78d260fe580Ba279 1910 c68bc5b00B7ea75cb939b10B4f75445e045b0B809d81b989d40B899c98b49fd00B8aa16ebe 1911 4ebe0B5e8142644c420480dd823780ef824380ef81e10B4083359a04a50B5d883a76394f0B 1912 7f5ba349c5500Bac88b4a1fea80480ee818c80e0815180bf81190F> DC 1913 122 /daggerdbl <0081f401802b7f6e81c882c30280ec81c90480ef818a80de814e80bf8118 1914 0480e080e080eb80a880ee80670B39862f9d02a50B5e873b753c500B815aa347c64f0Baf8b 1915 bf9ffaa30480ed7fe580df800180c77fae0B775e9141b2410Ba280be9cb4bf0B79986cae64 1916 c60B789d77bc76da0Bca7bc868fa5d0Ba378c58ac7b10B81a55eb73db00B5378335a035c04 1917 810480a6811680e381358118048115814f8108818b810681cb0Bc779d062fe5a0Ba279c58b 1918 c4b00B7ea65db93ab10B51764061065d048106824c81168231812d82840B8aa26ebf4ebf0B 1919 5e8142644c410480e0822d80ea825480ed81e30B3c84369806a30B5d883a76394f0B7f5ba2 1920 49c3500Bae88caa5fda40F> DC 1921 123 /paragraph <0081f40180207f9181d382b60281d482b6077f0c04807a82b68020827b 1922 8020820c04802081d9803781a8806081880Ba365cb5ef65b067e2f09b70682fa09d6067d06 1923 09b60682fa09bb08aa0F> DC 1924 124 /clubsuit <00847d0180687f88841382ff02825c809e08df04829c80f682bd80b282ea808c 1925 04836580248413807b8413811b04841381bc8365821282ea81aa0482be8185829c8140825c 1926 813904825b818382a381a482cd81d7048335825282df82ff823e830004819d82ff81478251 1927 81af81d70481db81a282218185822081390481e1814081be8185819281aa04811782128069 1928 81bc8069811b048069807a811780248192808c0481bf80b281e080f6822080fd048220806b 1929 8224800181c87f880482167f9982667f9982b47f880482777fd9825c8038825c809e 1930 0F> DC 1931 125 /diamondsuit <00847c0180887f8983f3831c02823e7f8a0482de804e833480a883f3815204 1932 833c81f882db825d823e831c0481a18261813c81f7808981520480d5810c812280c7816a 1933 807c0481b4802e81f97fdc823e7f8a02823f7fcb0481ba806a816380c580cb8152048165 1934 81e081b98239823f82db0482c48235831481e183b2815204831280c282c58071823f7fcb 1935 0F> DC 1936 126 /heartsuit <00847b0180637f7f841782f802823d82750481be8372804a82ed806581c204 1937 8075810d811f80c381a080610481f7802082207fe982337f7f09940482577fda827d8018 1938 82c6805204834a80bb84058104841681c204843282ed82bb8372823d827502823d7fea04 1939 81f880bf809d80d5809481da04808f826b810582e4819982c30481f582b0821a82638230 1940 8211099b0482608263828682b082e282c304837682e483ec826b83e781da0483dd80d7827b 1941 80b5823d7fea0F> DC 1942 127 /spadesuit <00847c0180a07f8083db82fc0282578088048278805982a0803382db802504 1943 8352800983c6806183d880d704840381e682868201824582fd09720481f381fd807981e8 1944 80a480d70480b68067811f8011819280220481d3802c820080558225808804822680268212 1945 7fd381dc7f8004821f7f8a825d7f8a82a07f8004826a7fd382558026825780880F> DC 1946 160 /minus <00834101807b810d82c5814702807c810d07824908ba077db708460F> DC 1947 161 /dotmath <00823c0180dd810e815e818e0280e381660B6133d602f6500Ba0ce29fe0ab0 1948 0F> DC 1949 162 /multiply <008341018094801a82b382390280bd801b0381a4810203828b801b0Aa8a8 1950 0381cc812a0382b382110A58a80381a481520380bd823a0A585703817c812a03809580430A 1951 a8580F> DC 1952 163 /asteriskmath <0083e8018140806182a781f30281ee81350B3caa4db222db0B6c9347 1953 9c367f0B6f638848a23f0481a0813d81a3815081e8812a0B375a3b6d025d0B64784b5d5c3f 1954 0B8f64b46bc87d0Baaa6a1b8e0dd0B7c2d6e3b60020B79638240a53f0Ba080ada3a7be04 1955 820e80d781fb80d281fa81200Bc355b24fdd250B956cb963ca800B909c79b95fc1048249 1956 8117824381058200812a0Bcba7c393fea40B9c87b4a2a4c00B709c4c9637830B565a614921 1957 240B83d192c59ffd0B879d7ec05bc10B6080545e59420481da817c81ec818481ee8135 1958 0F> DC 1959 164 /divide <00834101807b803a82c5821902816a81f40B6238cf0bee530B9dc82ff612ad 1960 02807c810d07824908ba077db7084602816a808c0B6239cf0cee540B9dc72ef412ac 1961 0F> DC 1962 165 /diamondop <0081f4018006801081ed81f602800781030380fa80100381ed81030380fa81f6 1963 038007810302803e81030380fa81bf0381b681040380f8804803803e81030F> DC 1964 166 /plusminus <00834101807b800082c582830281be817b0681080946067ef8077ef80847 1965 078108067ef8077ef8084607824908ba077ef906810807810708b9077ef90F> DC 1966 167 /minusplus <00834101807b800082c582830281be810807810708ba077ef906810707810708 1967 ba077db70846078108067ef9077ef80846078108067ef809ba0681080F> DC 1968 168 /circleplus <0083e80180727fa9837682ac0283468142077ec50681380482ac8274833f81e3 1969 834681420281dc8142077ec60480b281e98133826d81dc827a067ec80280a2811307813a06 1970 7ec80481347fe680b2806d80a2811302820b811307813b04833d80c3831e807882e5803e04 1971 82ab8005825e7fdb820b7fdb0681380281f482ac04812282ac807381fc8073812a048072 1972 805681207faa81f47faa0482c97faa837680568376812a04837681fd82c782ac81f482ac 1973 0F> DC 1974 169 /circleminus <0083e80180727fa9837582ac028344811304832a7f8c80de7f5980a4811307 1975 82a00280a581420480cf82ed832782d883448142077d61028376812a04837581fe82c782ab 1976 81f482ac04812082ac807381fe8072812a0480728056811f7faa81f47fa90482c87fa98376 1977 80568376812a0F> DC 1978 170 /circlemultiply <0083e80180727faa837582ab028305823b04827082d1817982d080e4823b04 1979 804f81a7804f80ae80e4801a04817a7f85826e7f868305801a04839b80b0839a81a58305 1980 823b0281f4810a0382d2802c0482937ffc824a7fdb81f87fdb0481a77fdb81517ff38116 1981 802d0381f4810a0280f582090381d3812b0380f6804e04808280cb808d818980f5820902 1982 81f4814c038115822a04819582948252829682d182290381f4814c0282f3804c038214812b 1983 0382f2820804835f8192836180c382f3804c0F> DC 1984 171 /circledivide <0083e80180727fa9837582ab0280e480190481797f85826f7f868305801904 1985 839980ae839981a68305823a04826f82d1817a82d180e4823a04804f81a6804f80ae80e4 1986 80190280f7804d047ff58176816d833582d182270380f7804d0282f28207048363817b8366 1987 80be82e2803b0482657fbf819b7fb98117802c0382f282070F> DC 1988 172 /circledot <0083e80180727fa9837682ac0280a3812a0480a281e2813c827c81f4827c04 1989 82ac827b834581e28345812a048345807382ac7fda81f47fda04813b7fda80a3807180a3 1990 812a0281b3812a0481b380d6823480d58234812a048234817e81b3817e81b3812a0281f4 1991 82ac04812282ac807381fc8073812a048072805681207faa81f47fa90482c77fa983768057 1992 8376812a04837681fc82c782ac81f482ac0F> DC 1993 173 /overlaycircle <0083e8017fff7f1483e782fb028031810804803081fe80fc82ca81f282ca04 1994 82e982ca83b581ff83b581080483b5801282e97f4681f27f460480fd7f46803180128031 1995 81080281f382fc0480e182fb8000821a800081070480007ff580e07f1581f37f15048306 1996 7f1583e77ff583e781070483e7821a830682fc81f382fc0F> DC 1997 174 /circleop <0081f4018036804081bb81c5028070818c0480258141802580c48070807904 1998 80ba802f8137802e818280790481cd80c581ce81428182818d04813781d880ba81d78070 1999 818c02808b81700480c681ac812a81ac816681710481a2813581a180d28166809604812a 2000 805980c7805a808c809604804f80d180508135808b81700F> DC 2001 175 /bullet <0081f4018036804081bb81c5028070818c0480258141802580c48070807904 2002 80ba802f8137802e818280790481cd80c581ce81428182818d04813781d880ba81d78070 2003 818c0F> DC 2004 176 /hardyequiv <0083e80180ce8075831881df0280e781df0A685104817f812c8269812d8319 2005 81b00A68af04826881668180816580e781df0280e7807504818180ef826780ee830180750A 2006 98af04826881278180812880cf80a40A98510F> DC 2007 177 /equivalence <0083e80180cf8069831881ea0280cf806a07824a08b9077db6084702 2008 80cf810d07824a08ba077db608460280cf81b107824a08ba077db608460F> DC 2009 178 /reflexsubset <0083e80180aa7f85833d828a02833e801e08ba077e9b04813a8058 2010 80e480b580e481540480e481a080fb81ea8134821f0481608247819f825081d98251078165 2011 08b9077e9b04811b828a80aa821280aa81540480aa8097811b801e81d9801e0781650280b2 2012 7f8607828c08b9077d7408470F> DC 2013 179 /reflexsuperset <0083e80180b37f858347828a0280b3801e0781650482d6801e8347 2014 809783478154048347821182d6828a8218828a077e9b08470781650482b88250830d81f4 2015 830d815404830d80b582b8805882188058077e9b084602833f7f8608b9077d74084707828c 2016 0F> DC 2017 180 /lessequal <0083e80180cf80178318823c0280d18146038319808f08ba038126816603 2018 8319820208ba0380d181840842028319801808ba077db6084607824a0F> DC 2019 181 /greaterequal <0083e80180cf80178318823c0280cf801807824a08ba077db6084602 2020 8317814608be0380cf823c08460382c281660380cf80c9084603831781460F> DC 2021 182 /precedesequal <0083e80180cf80008318826e028319800008ba077db6084607824a0280d08181 2022 0849048144814981bc8141822b811d04829680fa82c480c482e4805d0Ab28e04830080b0 2023 82e580f182a6811a048254815181f1815e819081660481f1816e8254817b82a681b20482e4 2024 81dc8301821c831682610A4e8e0482c58209829481d0822c81ae0481bd818a8145818280d0 2025 81810F> DC 2026 183 /followsequal <0083e80180cf80008318826e02831881810482a38182822b818a81bc81ae04 2027 815481d0812382098104826f0A4e720480e7821c810481dd814281b2048194817b81f7816e 2028 825881660481f7815e819481518142811a04810380f180e780b080d2806b0Ab272048124 2029 80c4815280fa81bd811d04822c814182a481498318814a08b70280cf800007824a08ba07 2030 7db608460F> DC 2031 184 /similar <0083e80180aa80e3833d81720280aa80e404811a81308160814681e5 2032 811a04827f80e782b080d8833e813308bf0482ab810b828b812081e7815304816b817b8116 2033 816680aa812208420F> DC 2034 185 /approxequal <0083e80180aa8093833d81c00280aa809404811a80e0816080f681e5 2035 80ca04827f809782b08088833e80e308bf0482a980ba828b80d081e7810304816b812b8116 2036 811680aa80d208420280aa813204811a817f8160819581e5816904827f813682b08126833e 2037 818208bf0482aa815a828b816e81e781a104816b81ca811681b480aa817108410F> DC 2038 186 /propersubset <0083e80180aa8007833d827402833e800808ba077e9b04813a8042 2039 80e4809f80e4813e0480e4818a80fb81d4813482090481608231819f823a81d9823b078165 2040 08b9077e9b04811b827480aa81fc80aa813e0480aa8081811b800881d98008078165 2041 0F> DC 2042 187 /propersuperset <0083e80180aa8007833d82740280aa82740847078165048249823a 2043 8288823182b482090482ed81d48304818a8304813e048304809f82ae8042820f8042077e9b 2044 08460781650482cd8008833d8081833e813e04833d81fc82cc8274820f8274077e9b 2045 0F> DC 2046 188 /muchless <0083e80180377fb783b082590280378122084d0382627fb708bc038085810803 2047 8262821e08bc03803781220281868122084d0383b17fb708bc0381d381080383b1821e08bc 2048 03818681220F> DC 2049 189 /muchgreater <0083e80180377fb783b082590283b18122038186825a08440383638108038186 2050 7ff308440383b180ef08b30282628122038037825a084403821581080380377ff3084403 2051 826280ef08b30F> DC 2052 190 /precedes <0083e80180cf8022831582340280d081470849048144810f81bc8107822b80e3 2053 04829680c082c4808a82e480220Ab28f048300807682e580b782a680e0048254811781f1 2054 81248190812c0481f181348254814082a681780482e481a2830181e1831682260A4e8e04 2055 82c581cf82948196822c81740481bd81508145814780d081470F> DC 2056 191 /follows <0083e80180cf80228315823402831681470482a181478229815081b9817404 2057 81518196812181cf810282340A4e720480e581e1810281a2813f8178048192814081f58134 2058 8255812c0481f5812481928117813f80e004810180b780e5807680d080310Ab271048122 2059 808a815080c081ba80e304822a810782a1810f8316811008b70F> DC 2060 2061 /FontBBox {-213 -898 1047 796} def 2062 end 2063 2064 /Dutch801-Roman-DECmath_Symbol bsd definefont pop 2065 2066 %%EndFont 2067 2068 DEC_WRITE_dict begin 2069 loads 2070 version cvi 23.0 gt { 2071 currentdict {dup type /arraytype eq 2072 {bind def} {pop pop} ifelse} forall} if 2073 0.0100 0.0100 s 2074 2075 %%EndSetup 2076 %%Page: 1 1 2077 /$P a D 2078 g N 2079 0 79200 T 2080 S 2081 R 2082 S 2083 6313 -23156 T 2084 N 2085 0 G 2086 300 -1050 M 2087 /Times-Italic-ISOLatin1 $ 2088 /Times-Italic & P 2089 /Times-Italic-ISOLatin1 F 1000 o f 2090 2.3 0 32 (This paper is a revised version of an article by the same) W 2091 300 -2150 M 2092 27.2 0 32 (title and author which appeared in the April 1991 issue) W 2093 300 -3250 M 2094 (of ) h 2095 /Times-Roman-ISOLatin1 $ 2096 /Times-Roman & P 2097 /Times-Roman-ISOLatin1 F 1000 o f 2098 (Communications of the ACM.) h 2099 300 -4500 M 2100 300 -6400 M 2101 /Times-Bold-ISOLatin1 $ 2102 /Times-Bold & P 2103 /Times-Bold-ISOLatin1 F 1200 o f 2104 (Abstract) h 2105 300 -8150 M 2106 /Times-Roman-ISOLatin1 F 1000 o f 2107 135.1 0 32 (For the past few years, a joint ISO/CCITT committee) W 2108 300 -9250 M 2109 258.8 0 32 (known as JPEG \(Joint Photographic Experts Group\)) W 2110 300 -10350 M 2111 281.4 0 32 (has been working to establish the first international) W 2112 300 -11450 M 2113 110.6 0 32 (compression standard for continuous\255tone still images,) W 2114 300 -12550 M 2115 190.4 0 32 (both grayscale and color. JPEG's proposed standard) W 2116 300 -13650 M 2117 401.1 0 32 (aims to be generic, to support a wide variety of) W 2118 300 -14750 M 2119 189.5 0 32 (applications for continuous\255tone images. To meet the) W 2120 300 -15850 M 2121 587.7 0 32 (differing needs of many applications, the JPEG) W 2122 300 -16950 M 2123 23.0 0 32 (standard includes two basic compression methods, each) W 2124 300 -18050 M 2125 23.6 0 32 (with various modes of operation. A DCT\255based method) W 2126 300 -19150 M 2127 127.0 0 32 (is specified for ) W 2128 127.0 0 32 (\026) W 2129 127.0 0 32 (lossy'' compression, and a predictive) W 2130 300 -20250 M 2131 166.6 0 32 (method for ) W 2132 166.6 0 32 (\026) W 2133 166.6 0 32 (lossless'' compression. JPEG features a) W 2134 300 -21350 M 2135 86.9 0 32 (simple lossy technique known as the Baseline method,) W 2136 300 -22450 M 2137 163.1 0 32 (a subset of the other DCT\255based modes of operation.) W 2138 300 -23550 M 2139 107.9 0 32 (The Baseline method has been by far the most widely) W 2140 300 -24650 M 2141 72.5 0 32 (implemented JPEG method to date, and is sufficient in) W 2142 300 -25750 M 2143 141.8 0 32 (its own right for a large number of applications. This) W 2144 300 -26850 M 2145 52.1 0 32 (article provides an overview of the JPEG standard, and) W 2146 300 -27950 M 2147 (focuses in detail on the Baseline method.) h 2148 300 -29050 M 2149 300 -30150 M 2150 300 -31400 M 2151 /Times-Bold-ISOLatin1 F 1200 o f 2152 (1 Introduction) h 2153 300 -33150 M 2154 /Times-Roman-ISOLatin1 F 1000 o f 2155 298.8 0 32 (Advances over the past decade in many aspects of) W 2156 300 -34250 M 2157 499.8 0 32 (digital technology \255 especially devices for image) W 2158 300 -35350 M 2159 203.3 0 32 (acquisition, data storage, and bitmapped printing and) W 2160 300 -36450 M 2161 337.0 0 32 (display \255 have brought about many applications of) W 2162 300 -37550 M 2163 13.6 0 32 (digital imaging. However, these applications tend to be) W 2164 300 -38650 M 2165 117.1 0 32 (specialized due to their relatively high cost. With the) W 2166 300 -39750 M 2167 126.7 0 32 (possible exception of facsimile, digital images are not) W 2168 300 -40850 M 2169 291.3 0 32 (commonplace in general\255purpose computing systems) W 2170 300 -41950 M 2171 30.6 0 32 (the way text and geometric graphics are. The majority) W 2172 300 -43050 M 2173 3.9 0 32 (of modern business and consumer usage of photographs) W 2174 300 -44150 M 2175 229.1 0 32 (and other types of images takes place through more) W 2176 300 -45250 M 2177 (traditional analog means.) h 2178 300 -46350 M 2179 300 -47450 M 2180 -6313 23156 T 2181 R 2182 2183 S 2184 31919 -23173 T 2185 N 2186 0 G 2187 300 -1050 M 2188 /Times-Roman-ISOLatin1 F 1000 o f 2189 305.4 0 32 (The key obstacle for many applications is the vast) W 2190 300 -2150 M 2191 215.3 0 32 (amount of data required to represent a digital image) W 2192 300 -3250 M 2193 107.9 0 32 (directly. A digitized version of a single, color picture) W 2194 300 -4350 M 2195 144.8 0 32 (at TV resolution contains on the order of one million) W 2196 300 -5450 M 2197 55.0 0 32 (bytes; 35mm resolution requires ten times that amount. ) W 2198 300 -6550 M 2199 171.9 0 32 (Use of digital images often is not viable due to high) W 2200 300 -7650 M 2201 31.7 0 32 (storage or transmission costs, even when image capture) W 2202 300 -8750 M 2203 (and display devices are quite affordable.) h 2204 300 -9850 M 2205 300 -10950 M 2206 661.0 0 32 (Modern image compression technology offers a) W 2207 300 -12050 M 2208 533.0 0 32 (possible solution. State\255of\255the\255art techniques can) W 2209 300 -13150 M 2210 463.9 0 32 (compress typical images from 1/10 to 1/50 their) W 2211 300 -14250 M 2212 427.4 0 32 (uncompressed size without visibly affecting image) W 2213 300 -15350 M 2214 372.4 0 32 (quality. But compression technology alone is not) W 2215 300 -16450 M 2216 309.5 0 32 (sufficient. For digital image applications involving) W 2217 300 -17550 M 2218 490.5 0 32 (storage or transmission to become widespread in) W 2219 300 -18650 M 2220 355.6 0 32 (today's marketplace, a standard image compression) W 2221 300 -19750 M 2222 675.7 0 32 (method is needed to enable interoperability of) W 2223 300 -20850 M 2224 152.8 0 32 (equipment from different manufacturers. The CCITT) W 2225 300 -21950 M 2226 259.0 0 32 (recommendation for today's ubiquitous Group 3 fax) W 2227 300 -23050 M 2228 40.2 0 32 (machines [17] is a dramatic example of how a standard) W 2229 300 -24150 M 2230 268.3 0 32 (compression method can enable an important image) W 2231 300 -25250 M 2232 45.0 0 32 (application. The Group 3 method, however, deals with) W 2233 300 -26350 M 2234 75.1 0 32 (bilevel images only and does not address photographic) W 2235 300 -27450 M 2236 (image compression.) h 2237 300 -28550 M 2238 300 -29650 M 2239 107.8 0 32 (For the past few years, a standardization effort known) W 2240 300 -30750 M 2241 134.6 0 32 (by the acronym JPEG, for Joint Photographic Experts) W 2242 300 -31850 M 2243 134.7 0 32 (Group, has been working toward establishing the first) W 2244 300 -32950 M 2245 305.2 0 32 (international digital image compression standard for) W 2246 300 -34050 M 2247 978.0 0 32 (continuous\255tone \(multilevel\) still images, both) W 2248 300 -35150 M 2249 158.4 0 32 (grayscale and color. The ) W 2250 158.4 0 32 (\026) W 2251 158.4 0 32 (joint) W 2252 158.4 0 32 (\027) W 2253 158.4 0 32 ( in JPEG refers to a) W 2254 300 -36250 M 2255 643.2 0 32 (collaboration between CCITT and ISO. JPEG) W 2256 300 -37350 M 2257 231.3 0 32 (convenes officially as the ISO committee designated) W 2258 300 -38450 M 2259 588.2 0 32 (JTC1/SC2/WG10, but operates in close informal) W 2260 300 -39550 M 2261 86.4 0 32 (collaboration with CCITT SGVIII. JPEG will be both) W 2262 300 -40650 M 2263 86.6 0 32 (an ISO Standard and a CCITT Recommendation. The) W 2264 300 -41750 M 2265 (text of both will be identical.) h 2266 300 -42850 M 2267 300 -43950 M 2268 166.0 0 32 (Photovideotex, desktop publishing, graphic arts, color) W 2269 300 -45050 M 2270 180.3 0 32 (facsimile, newspaper wirephoto transmission, medical) W 2271 300 -46150 M 2272 610.6 0 32 (imaging, and many other continuous\255tone image) W 2273 300 -47250 M 2274 67.4 0 32 (applications require a compression standard in order to) W 2275 -31919 23173 T 2276 R 2277 2278 S 2279 6519 -10545 T 2280 N 2281 0 G 2282 8366 -1350 M 2283 /Helvetica-Bold-ISOLatin1 $ 2284 /Helvetica-Bold & P 2285 /Helvetica-Bold-ISOLatin1 F 1400 o f 2286 (The JPEG Still Picture Compression Standard) h 2287 300 -2550 M 2288 20016 -3650 M 2289 /Helvetica-ISOLatin1 $ 2290 /Helvetica & P 2291 /Helvetica-ISOLatin1 F 1000 o f 2292 (Gregory K. Wallace) h 2293 19156 -4750 M 2294 (Multimedia Engineering) h 2295 17596 -5850 M 2296 (Digital Equipment Corporation) h 2297 18866 -6950 M 2298 (Maynard, Massachusetts) h 2299 300 -7888 M 2300 300 -9373 M 2301 5659 -10420 M 2302 /Times-Italic-ISOLatin1 F 1000 o f 2303 (Submitted in December 1991 for publication in IEEE Transactions on Consumer Electronics) h 2304 300 -11358 M 2305 300 -12628 M 2306 -6519 10545 T 2307 R 2308 2309 S 2310 30679 -75546 M 2311 /Times-Roman-ISOLatin1 F 1000 o f 2312 (1) h 2313 R 2314 2315 showpage 2316 $P e 2317 2318 %%Page: 2 2 2319 /$P a D 2320 g N 2321 0 79200 T 2322 S 2323 R 2324 S 2325 6337 -7200 T 2326 N 2327 0 G 2328 300 -1050 M 2329 /Times-Roman-ISOLatin1 $ 2330 /Times-Roman & P 2331 /Times-Roman-ISOLatin1 F 1000 o f 2332 71.1 0 32 (develop significantly beyond their present state. JPEG) W 2333 300 -2150 M 2334 345.0 0 32 (has undertaken the ambitious task of developing a) W 2335 300 -3250 M 2336 472.2 0 32 (general\255purpose compression standard to meet the) W 2337 300 -4350 M 2338 738.2 0 32 (needs of almost all continuous\255tone still\255image) W 2339 300 -5450 M 2340 (applications.) h 2341 300 -6550 M 2342 300 -7650 M 2343 141.9 0 32 (If this goal proves attainable, not only will individual) W 2344 300 -8750 M 2345 254.5 0 32 (applications flourish, but exchange of images across) W 2346 300 -9850 M 2347 182.3 0 32 (application boundaries will be facilitated. This latter) W 2348 300 -10950 M 2349 305.5 0 32 (feature will become increasingly important as more) W 2350 300 -12050 M 2351 5.6 0 32 (image applications are implemented on general\255purpose) W 2352 300 -13150 M 2353 288.4 0 32 (computing systems, which are themselves becoming) W 2354 300 -14250 M 2355 377.8 0 32 (increasingly interoperable and internetworked. For) W 2356 300 -15350 M 2357 240.7 0 32 (applications which require specialized VLSI to meet) W 2358 300 -16450 M 2359 1208.0 0 32 (their compression and decompression speed) W 2360 300 -17550 M 2361 832.8 0 32 (requirements, a common method will provide) W 2362 300 -18650 M 2363 519.4 0 32 (economies of scale not possible within a single) W 2364 300 -19750 M 2365 (application. ) h 2366 300 -20850 M 2367 300 -21950 M 2368 305.4 0 32 (This article gives an overview of JPEG's proposed) W 2369 300 -23050 M 2370 299.8 0 32 (image\255compression standard. Readers without prior) W 2371 300 -24150 M 2372 400.6 0 32 (knowledge of JPEG or compression based on the) W 2373 300 -25250 M 2374 222.5 0 32 (Discrete Cosine Transform \(DCT\) are encouraged to) W 2375 300 -26350 M 2376 368.7 0 32 (study first the detailed description of the Baseline) W 2377 300 -27450 M 2378 333.2 0 32 (sequential codec, which is the basis for all of the) W 2379 300 -28550 M 2380 31.7 0 32 (DCT\255based decoders. While this article provides many) W 2381 300 -29650 M 2382 34.9 0 32 (details, many more are necessarily omitted. The reader) W 2383 300 -30750 M 2384 409.9 0 32 (should refer to the ISO draft standard [2] before) W 2385 300 -31850 M 2386 (attempting implementation.) h 2387 300 -32950 M 2388 300 -34050 M 2389 270.4 0 32 (Some of the earliest industry attention to the JPEG) W 2390 300 -35150 M 2391 170.6 0 32 (proposal has been focused on the Baseline sequential) W 2392 300 -36250 M 2393 95.6 0 32 (codec as a motion image compression method \255 of the) W 2394 300 -37350 M 2395 108.3 0 32 (``intraframe'' class, where each frame is encoded as a) W 2396 300 -38450 M 2397 208.1 0 32 (separate image. This class of motion image coding,) W 2398 300 -39550 M 2399 261.0 0 32 (while providing less compression than ``interframe'') W 2400 300 -40650 M 2401 190.1 0 32 (methods like MPEG, has greater flexibility for video) W 2402 300 -41750 M 2403 147.0 0 32 (editing. While this paper focuses only on JPEG as a) W 2404 300 -42850 M 2405 65.6 0 32 (still picture standard \(as ISO intended\), it is interesting) W 2406 300 -43950 M 2407 211.0 0 32 (to note that JPEG is likely to become a ``de facto'') W 2408 300 -45050 M 2409 (intraframe motion standard as well.) h 2410 300 -46150 M 2411 300 -47250 M 2412 300 -48500 M 2413 /Times-Bold-ISOLatin1 $ 2414 /Times-Bold & P 2415 /Times-Bold-ISOLatin1 F 1200 o f 2416 195.7 0 32 (2 Background: Requirements and Selec\255) W 2417 300 -49800 M 2418 (tion Process) h 2419 300 -51550 M 2420 /Times-Roman-ISOLatin1 F 1000 o f 2421 492.9 0 32 (JPEG's goal has been to develop a method for) W 2422 300 -52650 M 2423 249.6 0 32 (continuous\255tone image compression which meets the) W 2424 300 -53750 M 2425 (following requirements:) h 2426 300 -54850 M 2427 300 -55950 M 2428 (1\)) h 2429 2100 -55950 M 2430 217.7 0 32 (be at or near the state of the art with regard to) W 2431 2100 -57050 M 2432 841.5 0 32 (compression rate and accompanying image) W 2433 2100 -58150 M 2434 11.0 0 32 (fidelity, over a wide range of image quality ratings,) W 2435 2100 -59250 M 2436 59.6 0 32 (and especially in the range where visual fidelity to) W 2437 2100 -60350 M 2438 326.3 0 32 (the original is characterized as ) W 2439 326.3 0 32 (\026) W 2440 326.3 0 32 (very good) W 2441 326.3 0 32 (\027) W 2442 326.3 0 32 ( to) W 2443 2100 -61450 M 2444 951.0 0 32 (\026) W 2445 951.0 0 32 (excellent) W 2446 951.0 0 32 (\027) W 2447 951.0 0 32 (; also, the encoder should be) W 2448 2100 -62550 M 2449 214.0 0 32 (parameterizable, so that the application \(or user\)) W 2450 2100 -63650 M 2451 (can set the desired compression/quality tradeoff;) h 2452 -6337 7200 T 2453 R 2454 2455 S 2456 31919 -7200 T 2457 N 2458 0 G 2459 2100 -1050 M 2460 2100 -2150 M 2461 300 -3250 M 2462 /Times-Roman-ISOLatin1 F 1000 o f 2463 (2\)) h 2464 2100 -3250 M 2465 838.7 0 32 (be applicable to practically any kind of) W 2466 2100 -4350 M 2467 70.0 0 32 (continuous\255tone digital source image \(i.e. for most) W 2468 2100 -5450 M 2469 215.0 0 32 (practical purposes not be restricted to images of) W 2470 2100 -6550 M 2471 489.8 0 32 (certain dimensions, color spaces, pixel aspect) W 2472 2100 -7650 M 2473 0.4 0 32 (ratios, etc.\) and not be limited to classes of imagery) W 2474 2100 -8750 M 2475 639.5 0 32 (with restrictions on scene content, such as) W 2476 2100 -9850 M 2477 856.2 0 32 (complexity, range of colors, or statistical) W 2478 2100 -10950 M 2479 (properties;) h 2480 2100 -12050 M 2481 300 -13150 M 2482 (3\)) h 2483 2100 -13150 M 2484 128.6 0 32 (have tractable computational complexity, to make) W 2485 2100 -14250 M 2486 549.5 0 32 (feasible software implementations with viable) W 2487 2100 -15350 M 2488 348.0 0 32 (performance on a range of CPU's, as well as) W 2489 2100 -16450 M 2490 400.8 0 32 (hardware implementations with viable cost for) W 2491 2100 -17550 M 2492 (applications requiring high performance;) h 2493 2100 -18650 M 2494 300 -19750 M 2495 (4\)) h 2496 2100 -19750 M 2497 ( have the following modes of operation:) h 2498 2100 -20850 M 2499 2100 -21950 M 2500 /Symbol F 1000 o f 2501 (\267) h 2502 3900 -21950 M 2503 /Times-Roman-ISOLatin1 F 1000 o f 2504 7.4 0 32 (Sequential encoding: each image component is) W 2505 3900 -23050 M 2506 35.0 0 32 (encoded in a single left\255to\255right, top\255to\255bottom) W 2507 3900 -24150 M 2508 (scan;) h 2509 3900 -25250 M 2510 2100 -26350 M 2511 /Symbol F 1000 o f 2512 (\267) h 2513 3900 -26350 M 2514 /Times-Roman-ISOLatin1 F 1000 o f 2515 47.8 0 32 (Progressive encoding: the image is encoded in) W 2516 3900 -27450 M 2517 573.8 0 32 (multiple scans for applications in which) W 2518 3900 -28550 M 2519 404.0 0 32 (transmission time is long, and the viewer) W 2520 3900 -29650 M 2521 8.0 0 32 (prefers to watch the image build up in multiple) W 2522 3900 -30750 M 2523 (coarse\255to\255clear passes;) h 2524 3900 -31850 M 2525 2100 -32950 M 2526 /Symbol F 1000 o f 2527 (\267) h 2528 3900 -32950 M 2529 /Times-Roman-ISOLatin1 F 1000 o f 2530 260.7 0 32 (Lossless encoding: the image is encoded to) W 2531 3900 -34050 M 2532 486.2 0 32 (guarantee exact recovery of every source) W 2533 3900 -35150 M 2534 76.7 0 32 (image sample value \(even though the result is) W 2535 3900 -36250 M 2536 607.2 0 32 (low compression compared to the lossy) W 2537 3900 -37350 M 2538 (modes\);) h 2539 3900 -38450 M 2540 2100 -39550 M 2541 /Symbol F 1000 o f 2542 (\267) h 2543 3900 -39550 M 2544 /Times-Roman-ISOLatin1 F 1000 o f 2545 11.2 0 32 (Hierarchical encoding: the image is encoded at) W 2546 3900 -40650 M 2547 279.5 0 32 (multiple resolutions so that lower\255resolution) W 2548 3900 -41750 M 2549 75.7 0 32 (versions may be accessed without first having) W 2550 3900 -42850 M 2551 (to decompress the image at its full resolution.) h 2552 300 -43950 M 2553 300 -45050 M 2554 341.1 0 32 (In June 1987, JPEG conducted a selection process) W 2555 300 -46150 M 2556 400.6 0 32 (based on a blind assessment of subjective picture) W 2557 300 -47250 M 2558 194.3 0 32 (quality, and narrowed 12 proposed methods to three. ) W 2559 300 -48350 M 2560 87.3 0 32 (Three informal working groups formed to refine them,) W 2561 300 -49450 M 2562 55.5 0 32 (and in January 1988, a second, more rigorous selection) W 2563 300 -50550 M 2564 135.1 0 32 (process [19] revealed that the ) W 2565 135.1 0 32 (\026) W 2566 135.1 0 32 (ADCT) W 2567 135.1 0 32 (\027) W 2568 135.1 0 32 ( proposal [11],) W 2569 300 -51650 M 2570 129.6 0 32 (based on the 8x8 DCT, had produced the best picture) W 2571 300 -52750 M 2572 (quality.) h 2573 300 -53850 M 2574 300 -54950 M 2575 24.4 0 32 (At the time of its selection, the DCT\255based method was) W 2576 300 -56050 M 2577 444.3 0 32 (only partially defined for some of the modes of) W 2578 300 -57150 M 2579 114.6 0 32 (operation. From 1988 through 1990, JPEG undertook) W 2580 300 -58250 M 2581 161.5 0 32 (the sizable task of defining, documenting, simulating,) W 2582 300 -59350 M 2583 59.1 0 32 (testing, validating, and simply agreeing on the plethora) W 2584 300 -60450 M 2585 277.8 0 32 (of details necessary for genuine interoperability and) W 2586 300 -61550 M 2587 315.6 0 32 (universality. Further history of the JPEG effort is) W 2588 300 -62650 M 2589 (contained in [6, 7, 9, 18].) h 2590 300 -63750 M 2591 -31919 7200 T 2592 R 2593 2594 S 2595 30717 -74731 M 2596 /Times-Roman-ISOLatin1 F 1000 o f 2597 (2) h 2598 R 2599 2600 showpage 2601 $P e 2602 2603 %%Page: 3 3 2604 /$P a D 2605 g N 2606 0 79200 T 2607 S 2608 R 2609 S 2610 6337 -7200 T 2611 N 2612 0 G 2613 300 -1200 M 2614 /Times-Bold-ISOLatin1 $ 2615 /Times-Bold & P 2616 /Times-Bold-ISOLatin1 F 1200 o f 2617 (3 Architecture of the Proposed Standard) h 2618 300 -2950 M 2619 /Times-Roman-ISOLatin1 $ 2620 /Times-Roman & P 2621 /Times-Roman-ISOLatin1 F 1000 o f 2622 281.7 0 32 (The proposed standard contains the four ) W 2623 281.7 0 32 (\026) W 2624 281.7 0 32 (modes of) W 2625 300 -4050 M 2626 146.7 0 32 (operation) W 2627 146.7 0 32 (\027) W 2628 146.7 0 32 ( identified previously. For each mode, one) W 2629 300 -5150 M 2630 67.9 0 32 (or more distinct codecs are specified. Codecs within a) W 2631 300 -6250 M 2632 62.6 0 32 (mode differ according to the precision of source image) W 2633 300 -7350 M 2634 76.3 0 32 (samples they can handle or the entropy coding method) W 2635 300 -8450 M 2636 103.4 0 32 (they use. Although the word codec \(encoder/decoder\)) W 2637 300 -9550 M 2638 12.2 0 32 (is used frequently in this article, there is no requirement) W 2639 300 -10650 M 2640 43.3 0 32 (that implementations must include both an encoder and) W 2641 300 -11750 M 2642 246.4 0 32 (a decoder. Many applications will have systems or) W 2643 300 -12850 M 2644 (devices which require only one or the other.) h 2645 300 -13950 M 2646 300 -15050 M 2647 132.0 0 32 (The four modes of operation and their various codecs) W 2648 300 -16150 M 2649 159.8 0 32 (have resulted from JPEG's goal of being generic and) W 2650 300 -17250 M 2651 15.7 0 32 (from the diversity of image formats across applications. ) W 2652 300 -18350 M 2653 535.4 0 32 (The multiple pieces can give the impression of) W 2654 300 -19450 M 2655 300.5 0 32 (undesirable complexity, but they should actually be) W 2656 300 -20550 M 2657 0.3 0 32 (regarded as a comprehensive ) W 2658 0.3 0 32 (\026) W 2659 0.3 0 32 (toolkit) W 2660 0.3 0 32 (\027) W 2661 0.3 0 32 ( which can span a) W 2662 300 -21650 M 2663 24.1 0 32 (wide range of continuous\255tone image applications. It is) W 2664 300 -22750 M 2665 166.0 0 32 (unlikely that many implementations will utilize every) W 2666 300 -23850 M 2667 114.3 0 32 (tool \255\255 indeed, most of the early implementations now) W 2668 300 -24950 M 2669 187.8 0 32 (on the market \(even before final ISO approval\) have) W 2670 300 -26050 M 2671 (implemented only the Baseline sequential codec.) h 2672 300 -27150 M 2673 300 -28250 M 2674 111.1 0 32 (The Baseline sequential codec is inherently a rich and) W 2675 300 -29350 M 2676 593.8 0 32 (sophisticated compression method which will be) W 2677 300 -30450 M 2678 15.3 0 32 (sufficient for many applications. Getting this minimum) W 2679 300 -31550 M 2680 1291.0 0 32 (JPEG capability implemented properly and) W 2681 300 -32650 M 2682 629.2 0 32 (interoperably will provide the industry with an) W 2683 300 -33750 M 2684 360.8 0 32 (important initial capability for exchange of images) W 2685 300 -34850 M 2686 (across vendors and applications.) h 2687 300 -35950 M 2688 300 -37050 M 2689 300 -38300 M 2690 /Times-Bold-ISOLatin1 F 1200 o f 2691 (4 Processing Steps for DCT\255Based Coding) h 2692 300 -40050 M 2693 /Times-Roman-ISOLatin1 F 1000 o f 2694 138.7 0 32 (Figures 1 and 2 show the key processing steps which) W 2695 300 -41150 M 2696 232.8 0 32 (are the heart of the DCT\255based modes of operation. ) W 2697 300 -42250 M 2698 953.7 0 32 (These figures illustrate the special case of) W 2699 300 -43350 M 2700 55.6 0 32 (single\255component \(grayscale\) image compression. The) W 2701 300 -44450 M 2702 731.7 0 32 (reader can grasp the essentials of DCT\255based) W 2703 300 -45550 M 2704 851.2 0 32 (compression by thinking of it as essentially) W 2705 300 -46650 M 2706 236.1 0 32 (compression of a stream of 8x8 blocks of grayscale) W 2707 300 -47750 M 2708 86.6 0 32 (image samples. Color image compression can then be) W 2709 300 -48850 M 2710 372.0 0 32 (approximately regarded as compression of multiple) W 2711 300 -49950 M 2712 60.5 0 32 (grayscale images, which are either compressed entirely) W 2713 300 -51050 M 2714 475.8 0 32 (one at a time, or are compressed by alternately) W 2715 300 -52150 M 2716 (interleaving 8x8 sample blocks from each in turn.) h 2717 300 -53250 M 2718 300 -54350 M 2719 226.7 0 32 (For DCT sequential\255mode codecs, which include the) W 2720 300 -55450 M 2721 433.0 0 32 (Baseline sequential codec, the simplified diagrams) W 2722 300 -56550 M 2723 (indicate how single\255component compression works in a ) h 2724 300 -57650 M 2725 132.6 0 32 (fairly complete way. Each 8x8 block is input, makes) W 2726 300 -58750 M 2727 44.9 0 32 (its way through each processing step, and yields output) W 2728 300 -59850 M 2729 222.0 0 32 (in compressed form into the data stream. For DCT) W 2730 300 -60950 M 2731 125.2 0 32 (progressive\255mode codecs, an image buffer exists prior) W 2732 300 -62050 M 2733 219.3 0 32 (to the entropy coding step, so that an image can be) W 2734 300 -63150 M 2735 21.4 0 32 (stored and then parceled out in multiple scans with suc\255) W 2736 300 -64250 M 2737 39.4 0 32 (cessively improving quality. For the hierarchical mode) W 2738 -6337 7200 T 2739 R 2740 2741 S 2742 31919 -7200 T 2743 N 2744 0 G 2745 300 -1050 M 2746 /Times-Roman-ISOLatin1 F 1000 o f 2747 315.8 0 32 (of operation, the steps shown are used as building) W 2748 300 -2150 M 2749 (blocks within a larger framework.) h 2750 300 -3250 M 2751 300 -4950 M 2752 /Times-Bold-ISOLatin1 F 1000 o f 2753 (4.1 8x8 FDCT and IDCT) h 2754 300 -6650 M 2755 /Times-Roman-ISOLatin1 F 1000 o f 2756 111.1 0 32 (At the input to the encoder, source image samples are) W 2757 300 -7750 M 2758 7.6 0 32 (grouped into 8x8 blocks, shifted from unsigned integers) W 2759 300 -8850 M 2760 219.3 0 32 (with range [0, 2) W 2761 n 0.800 o f 2762 0.0 448.0 m 2763 219.3 0 32 (P) W 2764 0 -448.0 m 2765 n 1.250 o f 2766 219.3 0 32 ( \255 1] to signed integers with range) W 2767 300 -9950 M 2768 65.8 0 32 ([\2552) W 2769 n 0.800 o f 2770 0.0 448.0 m 2771 65.8 0 32 (P\2551) W 2772 0 -448.0 m 2773 n 1.250 o f 2774 65.8 0 32 (, 2) W 2775 n 0.800 o f 2776 0.0 448.0 m 2777 65.8 0 32 (P\2551) W 2778 0 -448.0 m 2779 n 1.250 o f 2780 65.8 0 32 (\2551], and input to the Forward DCT \(FDCT\). ) W 2781 300 -11050 M 2782 364.5 0 32 (At the output from the decoder, the Inverse DCT) W 2783 300 -12150 M 2784 551.1 0 32 (\(IDCT\) outputs 8x8 sample blocks to form the) W 2785 300 -13250 M 2786 127.0 0 32 (reconstructed image. The following equations are the) W 2787 300 -14350 M 2788 258.8 0 32 (idealized mathematical definitions of the 8x8 FDCT) W 2789 300 -15450 M 2790 (and 8x8 IDCT:) h 2791 300 -24986 M 2792 300 -39590 M 2793 300 -40690 M 2794 /Times-Roman-ISOLatin1 F 1000 o f 2795 125.0 0 32 (The DCT is related to the Discrete Fourier Transform) W 2796 300 -41790 M 2797 670.7 0 32 (\(DFT\). Some simple intuition for DCT\255based) W 2798 300 -42890 M 2799 9.1 0 32 (compression can be obtained by viewing the FDCT as a) W 2800 300 -43990 M 2801 496.1 0 32 (harmonic analyzer and the IDCT as a harmonic) W 2802 300 -45090 M 2803 107.6 0 32 (synthesizer. Each 8x8 block of source image samples) W 2804 300 -46190 M 2805 326.3 0 32 (is effectively a 64\255point discrete signal which is a) W 2806 300 -47290 M 2807 174.8 0 32 (function of the two spatial dimensions ) W 2808 /Times-Italic-ISOLatin1 $ 2809 /Times-Italic & P 2810 /Times-Italic-ISOLatin1 F 1000 o f 2811 174.8 0 32 (x ) W 2812 /Times-Roman-ISOLatin1 F 1000 o f 2813 174.8 0 32 (and ) W 2814 /Times-Italic-ISOLatin1 F 1000 o f 2815 174.8 0 32 (y) W 2816 /Times-Roman-ISOLatin1 F 1000 o f 2817 174.8 0 32 (. The) W 2818 300 -48390 M 2819 83.0 0 32 (FDCT takes such a signal as its input and decomposes) W 2820 300 -49490 M 2821 104.6 0 32 (it into 64 orthogonal basis signals. Each contains one) W 2822 300 -50590 M 2823 583.0 0 32 (of the 64 unique two\255dimensional \(2D\) ) W 2824 583.0 0 32 (\026) W 2825 583.0 0 32 (spatial) W 2826 300 -51690 M 2827 683.2 0 32 (frequencies'' which comprise the input signal's) W 2828 300 -52790 M 2829 146.3 0 32 (\026) W 2830 146.3 0 32 (spectrum.) W 2831 146.3 0 32 (\027) W 2832 146.3 0 32 ( The ouput of the FDCT is the set of 64) W 2833 300 -53890 M 2834 227.6 0 32 (basis\255signal amplitudes or ) W 2835 227.6 0 32 (\026) W 2836 227.6 0 32 (DCT coefficients) W 2837 227.6 0 32 (\027) W 2838 227.6 0 32 ( whose) W 2839 300 -54990 M 2840 518.5 0 32 (values are uniquely determined by the particular) W 2841 300 -56090 M 2842 (64\255point input signal.) h 2843 300 -57190 M 2844 300 -58290 M 2845 28.0 0 32 (The DCT coefficient values can thus be regarded as the) W 2846 300 -59390 M 2847 43.7 0 32 (relative amount of the 2D spatial frequencies contained) W 2848 300 -60490 M 2849 86.2 0 32 (in the 64\255point input signal. The coefficient with zero) W 2850 300 -61590 M 2851 495.7 0 32 (frequency in both dimensions is called the ) W 2852 495.7 0 32 (\026) W 2853 495.7 0 32 (DC) W 2854 300 -62690 M 2855 435.5 0 32 (coefficient) W 2856 435.5 0 32 (\027) W 2857 435.5 0 32 ( and the remaining 63 coefficients are) W 2858 300 -63790 M 2859 135.1 0 32 (called the ) W 2860 135.1 0 32 (\026) W 2861 135.1 0 32 (AC coefficients.'' Because sample values) W 2862 -31919 7200 T 2863 S 2864 N 2865 S 2866 32078 -31436 22722 8436 @ I N 2867 32078 -23000 T 2868 N 2869 S 2870 10569 -3390 M 2871 /Courier-ISOLatin1 $ 2872 /Courier & P 2873 /Courier-ISOLatin1 F 2400 o f 2874 ([) h 2875 R 2876 2877 2878 N 2879 S 2880 201 -5530 20216 5128 @ I N 2881 201 -402 T 2882 N 2883 N 2884 S 2885 0 -5128 20217 5128 @ I N 2886 0 0 T 2887 N 2888 S 2889 800 -2733 M 2890 /Dutch801-Italic-DECmath_Italic F 1200 o f 2891 (F) h 2892 R 2893 2894 S 2895 1533 -2751 M 2896 /Times-Roman-ISOLatin1 F 1200 o f 2897 (\() h 2898 R 2899 2900 S 2901 1933 -2734 M 2902 /Dutch801-Italic-DECmath_Italic F 1200 o f 2903 (u) h 2904 R 2905 2906 S 2907 2533 -2751 M 2908 /Times-Roman-ISOLatin1 F 1200 o f 2909 (,) h 2910 R 2911 2912 S 2913 3011 -2733 M 2914 /Dutch801-Italic-DECmath_Italic F 1200 o f 2915 (v) h 2916 R 2917 2918 S 2919 3544 -2751 M 2920 /Times-Roman-ISOLatin1 F 1200 o f 2921 (\)) h 2922 R 2923 2924 S 2925 4477 -2751 M 2926 /Times-Roman-ISOLatin1 F 1200 o f 2927 (=) h 2928 R 2929 2930 S 2931 5687 -2251 M 2932 /Times-Roman-ISOLatin1 F 1000 o f 2933 (1) h 2934 R 2935 2936 S 2937 N 2938 5687.00 -2466.00 M 2939 6187.00 -2466.00 L 2940 S 2941 49 w 2942 0 c 2943 0 j 2944 2 i 2945 0.00 G k 2946 R 2947 R 2948 2949 S 2950 5687 -3292 M 2951 /Times-Roman-ISOLatin1 F 1000 o f 2952 (4) h 2953 R 2954 2955 S 2956 6187 -2751 M 2957 /Times-Roman-ISOLatin1 F 1200 o f 2958 ( ) h 2959 R 2960 2961 S 2962 6487 -2734 M 2963 /Dutch801-Italic-DECmath_Italic F 1200 o f 2964 (C) h 2965 R 2966 2967 S 2968 7288 -2751 M 2969 /Times-Roman-ISOLatin1 F 1200 o f 2970 (\() h 2971 R 2972 2973 S 2974 7687 -2734 M 2975 /Dutch801-Italic-DECmath_Italic F 1200 o f 2976 (u) h 2977 R 2978 2979 S 2980 8287 -2751 M 2981 /Times-Roman-ISOLatin1 F 1200 o f 2982 (\)) h 2983 R 2984 2985 S 2986 8687 -2734 M 2987 /Dutch801-Italic-DECmath_Italic F 1200 o f 2988 (C) h 2989 R 2990 2991 S 2992 9487 -2751 M 2993 /Times-Roman-ISOLatin1 F 1200 o f 2994 (\() h 2995 R 2996 2997 S 2998 9887 -2733 M 2999 /Dutch801-Italic-DECmath_Italic F 1200 o f 3000 (v) h 3001 R 3002 3003 S 3004 10420 -2655 M 3005 /Times-Roman-ISOLatin1 F 1200 o f 3006 (\)) h 3007 R 3008 3009 S 3010 11719 -1159 M 3011 /Dutch801-Roman-DECmath_Extension F 1200 o f 3012 (X) h 3013 R 3014 3015 S 3016 12336 -999 M 3017 /Times-Roman-ISOLatin1 F 1000 o f 3018 (7) h 3019 R 3020 3021 S 3022 11832 -4208 M 3023 /Dutch801-Italic-DECmath_Italic F 1000 o f 3024 (x) h 3025 R 3026 3027 S 3028 12276 -4129 M 3029 /Times-Roman-ISOLatin1 F 1000 o f 3030 (=0) h 3031 R 3032 3033 S 3034 13452 -2751 M 3035 /Times-Roman-ISOLatin1 F 1200 o f 3036 ( ) h 3037 R 3038 3039 S 3040 13752 -1159 M 3041 /Dutch801-Roman-DECmath_Extension F 1200 o f 3042 (X) h 3043 R 3044 3045 S 3046 14369 -999 M 3047 /Times-Roman-ISOLatin1 F 1000 o f 3048 (7) h 3049 R 3050 3051 S 3052 13865 -4208 M 3053 /Dutch801-Italic-DECmath_Italic F 1000 o f 3054 (y) h 3055 R 3056 3057 S 3058 14309 -4129 M 3059 /Times-Roman-ISOLatin1 F 1000 o f 3060 (=0) h 3061 R 3062 3063 S 3064 15485 -2751 M 3065 /Times-Roman-ISOLatin1 F 1200 o f 3066 ( ) h 3067 R 3068 3069 S 3070 15785 -2733 M 3071 /Dutch801-Italic-DECmath_Italic F 1200 o f 3072 (f) h 3073 R 3074 3075 S 3076 16119 -2751 M 3077 /Times-Roman-ISOLatin1 F 1200 o f 3078 (\() h 3079 R 3080 3081 S 3082 16518 -2734 M 3083 /Dutch801-Italic-DECmath_Italic F 1200 o f 3084 (x) h 3085 R 3086 3087 S 3088 17051 -2751 M 3089 /Times-Roman-ISOLatin1 F 1200 o f 3090 (,) h 3091 R 3092 3093 S 3094 17529 -2733 M 3095 /Dutch801-Italic-DECmath_Italic F 1200 o f 3096 (y) h 3097 R 3098 3099 S 3100 18062 -2751 M 3101 /Times-Roman-ISOLatin1 F 1200 o f 3102 (\)) h 3103 R 3104 3105 S 3106 18817 -2752 M 3107 /Times-Roman-ISOLatin1 F 1200 o f 3108 (*) h 3109 R 3110 3111 R 3112 3113 3114 R 3115 3116 3117 N 3118 S 3119 4395 -8872 13213 3514 @ I N 3120 4395 -5358 T 3121 N 3122 N 3123 S 3124 0 -3514 13213 3514 @ I N 3125 0 0 T 3126 N 3127 S 3128 800 -2152 M 3129 /Dutch801-Italic-DECmath_Italic F 1200 o f 3130 (cos) h 3131 R 3132 3133 S 3134 2400 -2170 M 3135 /Times-Roman-ISOLatin1 F 1200 o f 3136 ( ) h 3137 R 3138 3139 S 3140 2700 -1492 M 3141 /Times-Roman-ISOLatin1 F 1000 o f 3142 (\(2) h 3143 R 3144 3145 S 3146 3533 -1571 M 3147 /Dutch801-Italic-DECmath_Italic F 1000 o f 3148 (x) h 3149 R 3150 3151 S 3152 3977 -1492 M 3153 /Times-Roman-ISOLatin1 F 1000 o f 3154 (+1\)) h 3155 R 3156 3157 S 3158 5374 -1571 M 3159 /Dutch801-Italic-DECmath_Italic F 1000 o f 3160 (u\271) h 3161 R 3162 3163 S 3164 N 3165 2700.00 -1885.00 M 3166 6485.00 -1885.00 L 3167 S 3168 49 w 3169 0 c 3170 0 j 3171 2 i 3172 0.00 G k 3173 R 3174 R 3175 3176 S 3177 4092 -2716 M 3178 /Times-Roman-ISOLatin1 F 1000 o f 3179 (16) h 3180 R 3181 3182 S 3183 6485 -2170 M 3184 /Times-Roman-ISOLatin1 F 1200 o f 3185 ( ) h 3186 R 3187 3188 S 3189 6785 -2152 M 3190 /Dutch801-Italic-DECmath_Italic F 1200 o f 3191 (cos) h 3192 R 3193 3194 S 3195 8384 -2170 M 3196 /Times-Roman-ISOLatin1 F 1200 o f 3197 ( ) h 3198 R 3199 3200 S 3201 8684 -1492 M 3202 /Times-Roman-ISOLatin1 F 1000 o f 3203 (\(2) h 3204 R 3205 3206 S 3207 9517 -1571 M 3208 /Dutch801-Italic-DECmath_Italic F 1000 o f 3209 (y) h 3210 R 3211 3212 S 3213 9961 -1492 M 3214 /Times-Roman-ISOLatin1 F 1000 o f 3215 (+1\)) h 3216 R 3217 3218 S 3219 11358 -1571 M 3220 /Dutch801-Italic-DECmath_Italic F 1000 o f 3221 (v\271) h 3222 R 3223 3224 S 3225 N 3226 8684.00 -1885.00 M 3227 12413.00 -1885.00 L 3228 S 3229 49 w 3230 0 c 3231 0 j 3232 2 i 3233 0.00 G k 3234 R 3235 R 3236 3237 S 3238 10049 -2716 M 3239 /Times-Roman-ISOLatin1 F 1000 o f 3240 (16) h 3241 R 3242 3243 S 3244 12215 -2349 M 3245 /Courier-ISOLatin1 F 2400 o f 3246 (]) h 3247 R 3248 3249 R 3250 3251 3252 R 3253 3254 3255 S 3256 21404 -7275 M 3257 /Times-Roman-ISOLatin1 F 1000 o f 3258 (\(1\)) h 3259 R 3260 3261 R 3262 3263 3264 R 3265 S 3266 N 3267 S 3268 31426 -46040 24026 13504 @ I N 3269 31426 -32536 T 3270 N 3271 S 3272 6588 -3007 M 3273 /Courier-ISOLatin1 F 2400 o f 3274 ([) h 3275 R 3276 3277 3278 N 3279 S 3280 1158 -4898 19824 4926 @ I N 3281 1158 28 T 3282 N 3283 N 3284 S 3285 0 -4926 19824 4926 @ I N 3286 0 0 T 3287 N 3288 S 3289 800 -2732 M 3290 /Dutch801-Italic-DECmath_Italic F 1200 o f 3291 (f) h 3292 R 3293 3294 S 3295 1134 -2750 M 3296 /Times-Roman-ISOLatin1 F 1200 o f 3297 (\() h 3298 R 3299 3300 S 3301 1533 -2733 M 3302 /Dutch801-Italic-DECmath_Italic F 1200 o f 3303 (x) h 3304 R 3305 3306 S 3307 2066 -2750 M 3308 /Times-Roman-ISOLatin1 F 1200 o f 3309 (,) h 3310 R 3311 3312 S 3313 2544 -2732 M 3314 /Dutch801-Italic-DECmath_Italic F 1200 o f 3315 (y) h 3316 R 3317 3318 S 3319 3077 -2750 M 3320 /Times-Roman-ISOLatin1 F 1200 o f 3321 (\)) h 3322 R 3323 3324 S 3325 4010 -2750 M 3326 /Times-Roman-ISOLatin1 F 1200 o f 3327 (=) h 3328 R 3329 3330 S 3331 5221 -2154 M 3332 /Times-Roman-ISOLatin1 F 1000 o f 3333 (1) h 3334 R 3335 3336 S 3337 N 3338 5221.00 -2465.00 M 3339 5721.00 -2465.00 L 3340 S 3341 49 w 3342 0 c 3343 0 j 3344 2 i 3345 0.00 G k 3346 R 3347 R 3348 3349 S 3350 5221 -3291 M 3351 /Times-Roman-ISOLatin1 F 1000 o f 3352 (4) h 3353 R 3354 3355 S 3356 6621 -1158 M 3357 /Dutch801-Roman-DECmath_Extension F 1200 o f 3358 (X) h 3359 R 3360 3361 S 3362 7237 -997 M 3363 /Times-Roman-ISOLatin1 F 1000 o f 3364 (7) h 3365 R 3366 3367 S 3368 6705 -4207 M 3369 /Dutch801-Italic-DECmath_Italic F 1000 o f 3370 (u) h 3371 R 3372 3373 S 3374 7205 -4128 M 3375 /Times-Roman-ISOLatin1 F 1000 o f 3376 (=0) h 3377 R 3378 3379 S 3380 8353 -2750 M 3381 /Times-Roman-ISOLatin1 F 1200 o f 3382 ( ) h 3383 R 3384 3385 S 3386 8653 -1158 M 3387 /Dutch801-Roman-DECmath_Extension F 1200 o f 3388 (X) h 3389 R 3390 3391 S 3392 9270 -997 M 3393 /Times-Roman-ISOLatin1 F 1000 o f 3394 (7) h 3395 R 3396 3397 S 3398 8766 -4207 M 3399 /Dutch801-Italic-DECmath_Italic F 1000 o f 3400 (v) h 3401 R 3402 3403 S 3404 9210 -4128 M 3405 /Times-Roman-ISOLatin1 F 1000 o f 3406 (=0) h 3407 R 3408 3409 S 3410 10386 -2750 M 3411 /Times-Roman-ISOLatin1 F 1200 o f 3412 ( ) h 3413 R 3414 3415 S 3416 10686 -2733 M 3417 /Dutch801-Italic-DECmath_Italic F 1200 o f 3418 (C) h 3419 R 3420 3421 S 3422 11487 -2750 M 3423 /Times-Roman-ISOLatin1 F 1200 o f 3424 (\() h 3425 R 3426 3427 S 3428 11886 -2733 M 3429 /Dutch801-Italic-DECmath_Italic F 1200 o f 3430 (u) h 3431 R 3432 3433 S 3434 12486 -2750 M 3435 /Times-Roman-ISOLatin1 F 1200 o f 3436 (\)) h 3437 R 3438 3439 S 3440 12886 -2733 M 3441 /Dutch801-Italic-DECmath_Italic F 1200 o f 3442 (C) h 3443 R 3444 3445 S 3446 13686 -2750 M 3447 /Times-Roman-ISOLatin1 F 1200 o f 3448 (\() h 3449 R 3450 3451 S 3452 14086 -2732 M 3453 /Dutch801-Italic-DECmath_Italic F 1200 o f 3454 (v) h 3455 R 3456 3457 S 3458 14619 -2750 M 3459 /Times-Roman-ISOLatin1 F 1200 o f 3460 (\)) h 3461 R 3462 3463 S 3464 15018 -2732 M 3465 /Dutch801-Italic-DECmath_Italic F 1200 o f 3466 (F) h 3467 R 3468 3469 S 3470 15751 -2750 M 3471 /Times-Roman-ISOLatin1 F 1200 o f 3472 (\() h 3473 R 3474 3475 S 3476 16151 -2733 M 3477 /Dutch801-Italic-DECmath_Italic F 1200 o f 3478 (u) h 3479 R 3480 3481 S 3482 16751 -2750 M 3483 /Times-Roman-ISOLatin1 F 1200 o f 3484 (,) h 3485 R 3486 3487 S 3488 17229 -2732 M 3489 /Dutch801-Italic-DECmath_Italic F 1200 o f 3490 (v) h 3491 R 3492 3493 S 3494 17762 -2750 M 3495 /Times-Roman-ISOLatin1 F 1200 o f 3496 (\)) h 3497 R 3498 3499 S 3500 18504 -2820 M 3501 /Times-Roman-ISOLatin1 F 1200 o f 3502 (*) h 3503 R 3504 3505 R 3506 3507 3508 R 3509 3510 3511 N 3512 S 3513 4344 -8388 13213 3514 @ I N 3514 4344 -4874 T 3515 N 3516 N 3517 S 3518 0 -3514 13213 3514 @ I N 3519 0 0 T 3520 N 3521 S 3522 800 -2152 M 3523 /Dutch801-Italic-DECmath_Italic F 1200 o f 3524 (cos) h 3525 R 3526 3527 S 3528 2400 -2170 M 3529 /Times-Roman-ISOLatin1 F 1200 o f 3530 ( ) h 3531 R 3532 3533 S 3534 2700 -1492 M 3535 /Times-Roman-ISOLatin1 F 1000 o f 3536 (\(2) h 3537 R 3538 3539 S 3540 3533 -1571 M 3541 /Dutch801-Italic-DECmath_Italic F 1000 o f 3542 (x) h 3543 R 3544 3545 S 3546 3977 -1492 M 3547 /Times-Roman-ISOLatin1 F 1000 o f 3548 (+1\)) h 3549 R 3550 3551 S 3552 5374 -1571 M 3553 /Dutch801-Italic-DECmath_Italic F 1000 o f 3554 (u\271) h 3555 R 3556 3557 S 3558 N 3559 2700.00 -1885.00 M 3560 6485.00 -1885.00 L 3561 S 3562 49 w 3563 0 c 3564 0 j 3565 2 i 3566 0.00 G k 3567 R 3568 R 3569 3570 S 3571 4092 -2716 M 3572 /Times-Roman-ISOLatin1 F 1000 o f 3573 (16) h 3574 R 3575 3576 S 3577 6485 -2170 M 3578 /Times-Roman-ISOLatin1 F 1200 o f 3579 ( ) h 3580 R 3581 3582 S 3583 6785 -2152 M 3584 /Dutch801-Italic-DECmath_Italic F 1200 o f 3585 (cos) h 3586 R 3587 3588 S 3589 8384 -2170 M 3590 /Times-Roman-ISOLatin1 F 1200 o f 3591 ( ) h 3592 R 3593 3594 S 3595 8684 -1492 M 3596 /Times-Roman-ISOLatin1 F 1000 o f 3597 (\(2) h 3598 R 3599 3600 S 3601 9517 -1571 M 3602 /Dutch801-Italic-DECmath_Italic F 1000 o f 3603 (y) h 3604 R 3605 3606 S 3607 9961 -1492 M 3608 /Times-Roman-ISOLatin1 F 1000 o f 3609 (+1\)) h 3610 R 3611 3612 S 3613 11358 -1571 M 3614 /Dutch801-Italic-DECmath_Italic F 1000 o f 3615 (v\271) h 3616 R 3617 3618 S 3619 N 3620 8684.00 -1885.00 M 3621 12413.00 -1885.00 L 3622 S 3623 49 w 3624 0 c 3625 0 j 3626 2 i 3627 0.00 G k 3628 R 3629 R 3630 3631 S 3632 10049 -2716 M 3633 /Times-Roman-ISOLatin1 F 1000 o f 3634 (16) h 3635 R 3636 3637 S 3638 12358 -2295 M 3639 /Courier-ISOLatin1 F 2400 o f 3640 (]) h 3641 R 3642 3643 R 3644 3645 3646 R 3647 3648 3649 S 3650 22310 -7320 M 3651 /Times-Roman-ISOLatin1 F 1000 o f 3652 (\(2\)) h 3653 R 3654 3655 S 3656 1028 -10288 M 3657 /Times-Roman-ISOLatin1 F 1100 o f 3658 (where:) h 3659 R 3660 3661 3662 S 3663 15506 -10288 M 3664 /Times-Roman-ISOLatin1 F 1000 o f 3665 (for) h 3666 R 3667 3668 S 3669 13014 -12923 M 3670 /Times-Roman-ISOLatin1 F 1200 o f 3671 ( otherwise.) h 3672 R 3673 3674 N 3675 S 3676 4116 -11330 18079 2884 @ I N 3677 4116 -8446 T 3678 N 3679 N 3680 S 3681 0 -2884 16066 2884 @ I N 3682 0 0 T 3683 N 3684 S 3685 800 -1799 M 3686 /Dutch801-Italic-DECmath_Italic F 1200 o f 3687 (C) h 3688 R 3689 3690 S 3691 1600 -1817 M 3692 /Times-Roman-ISOLatin1 F 1200 o f 3693 (\() h 3694 R 3695 3696 S 3697 2000 -1799 M 3698 /Dutch801-Italic-DECmath_Italic F 1200 o f 3699 (u) h 3700 R 3701 3702 S 3703 2600 -1817 M 3704 /Times-Roman-ISOLatin1 F 1200 o f 3705 (\),) h 3706 R 3707 3708 S 3709 3478 -1817 M 3710 /Times-Roman-ISOLatin1 F 1200 o f 3711 ( ) h 3712 R 3713 3714 S 3715 3778 -1799 M 3716 /Dutch801-Italic-DECmath_Italic F 1200 o f 3717 (C) h 3718 R 3719 3720 S 3721 4578 -1817 M 3722 /Times-Roman-ISOLatin1 F 1200 o f 3723 (\() h 3724 R 3725 3726 S 3727 4978 -1798 M 3728 /Dutch801-Italic-DECmath_Italic F 1200 o f 3729 (v) h 3730 R 3731 3732 S 3733 5510 -1817 M 3734 /Times-Roman-ISOLatin1 F 1200 o f 3735 (\)) h 3736 R 3737 3738 S 3739 6731 -1817 M 3740 /Times-Roman-ISOLatin1 F 1200 o f 3741 (=) h 3742 R 3743 3744 S 3745 8229 -1817 M 3746 /Times-Roman-ISOLatin1 F 1200 o f 3747 (1) h 3748 R 3749 3750 S 3751 8706 -1799 M 3752 /Dutch801-Italic-DECmath_Italic F 1200 o f 3753 (=) h 3754 R 3755 3756 S 3757 N 3758 10289.00 -829.00 M 3759 10889.00 -829.00 L 3760 S 3761 59 w 3762 0 c 3763 0 j 3764 2 i 3765 0.00 G k 3766 R 3767 R 3768 3769 S 3770 10289 -1817 M 3771 /Times-Roman-ISOLatin1 F 1200 o f 3772 (2) h 3773 R 3774 3775 S 3776 9182 -834 M 3777 /Dutch801-Roman-DECmath_Symbol F 1200 o f 3778 (p) h 3779 R 3780 3781 S 3782 7243 -1817 M 3783 /Times-Roman-ISOLatin1 F 1200 o f 3784 ( ) h 3785 R 3786 3787 S 3788 13118 -1703 M 3789 /Dutch801-Italic-DECmath_Italic F 1200 o f 3790 (u) h 3791 R 3792 3793 S 3794 13624 -1817 M 3795 /Times-Roman-ISOLatin1 F 1200 o f 3796 (,) h 3797 R 3798 3799 R 3800 3801 3802 R 3803 3804 3805 N 3806 S 3807 4383 -13932 8537 2624 @ I N 3808 4383 -11308 T 3809 N 3810 N 3811 S 3812 -4122 -2624 13043 2624 @ I N 3813 -4122 0 T 3814 N 3815 S 3816 4189 -1627 M 3817 /Times-Roman-ISOLatin1 F 1200 o f 3818 ( ) h 3819 R 3820 3821 S 3822 4789 -1609 M 3823 /Dutch801-Italic-DECmath_Italic F 1200 o f 3824 (C) h 3825 R 3826 3827 S 3828 5589 -1627 M 3829 /Times-Roman-ISOLatin1 F 1200 o f 3830 (\() h 3831 R 3832 3833 S 3834 5989 -1610 M 3835 /Dutch801-Italic-DECmath_Italic F 1200 o f 3836 (u) h 3837 R 3838 3839 S 3840 6589 -1627 M 3841 /Times-Roman-ISOLatin1 F 1200 o f 3842 (\),) h 3843 R 3844 3845 S 3846 7466 -1627 M 3847 /Times-Roman-ISOLatin1 F 1200 o f 3848 ( ) h 3849 R 3850 3851 S 3852 7766 -1609 M 3853 /Dutch801-Italic-DECmath_Italic F 1200 o f 3854 (C) h 3855 R 3856 3857 S 3858 8566 -1627 M 3859 /Times-Roman-ISOLatin1 F 1200 o f 3860 (\() h 3861 R 3862 3863 S 3864 8966 -1609 M 3865 /Dutch801-Italic-DECmath_Italic F 1200 o f 3866 (v) h 3867 R 3868 3869 S 3870 9499 -1627 M 3871 /Times-Roman-ISOLatin1 F 1200 o f 3872 (\)) h 3873 R 3874 3875 S 3876 10432 -1627 M 3877 /Times-Roman-ISOLatin1 F 1200 o f 3878 (=) h 3879 R 3880 3881 S 3882 11643 -1627 M 3883 /Times-Roman-ISOLatin1 F 1200 o f 3884 (1) h 3885 R 3886 3887 R 3888 3889 3890 R 3891 3892 3893 S 3894 18113 -10213 M 3895 /Dutch801-Italic-DECmath_Italic F 1200 o f 3896 (v) h 3897 R 3898 3899 S 3900 18989 -10231 M 3901 /Times-Roman-ISOLatin1 F 1200 o f 3902 (=) h 3903 R 3904 3905 S 3906 20581 -10423 M 3907 /Times-Roman-ISOLatin1 F 1200 o f 3908 ( ) h 3909 R 3910 3911 S 3912 20703 -10328 M 3913 /Times-Roman-ISOLatin1 F 1200 o f 3914 (;) h 3915 R 3916 3917 S 3918 20734 -10327 M 3919 /Times-Roman-ISOLatin1 F 1200 o f 3920 ( ) h 3921 R 3922 3923 S 3924 19903 -10231 M 3925 /Times-Roman-ISOLatin1 F 1200 o f 3926 (0) h 3927 R 3928 3929 R 3930 3931 3932 R 3933 R 3934 3935 S 3936 30583 -75259 M 3937 /Times-Roman-ISOLatin1 F 1000 o f 3938 (3) h 3939 R 3940 3941 showpage 3942 $P e 3943 3944 %%Page: 4 4 3945 /$P a D 3946 g N 3947 0 79200 T 3948 S 3949 R 3950 S 3951 6325 -37291 T 3952 N 3953 0 G 3954 300 -1050 M 3955 /Times-Roman-ISOLatin1 $ 3956 /Times-Roman & P 3957 /Times-Roman-ISOLatin1 F 1000 o f 3958 277.4 0 32 (typically vary slowly from point to point across an) W 3959 300 -2150 M 3960 166.3 0 32 (image, the FDCT processing step lays the foundation) W 3961 300 -3250 M 3962 129.5 0 32 (for achieving data compression by concentrating most) W 3963 300 -4350 M 3964 191.6 0 32 (of the signal in the lower spatial frequencies. For a) W 3965 300 -5450 M 3966 93.6 0 32 (typical 8x8 sample block from a typical source image,) W 3967 300 -6550 M 3968 125.4 0 32 (most of the spatial frequencies have zero or near\255zero) W 3969 300 -7650 M 3970 (amplitude and need not be encoded.) h 3971 300 -8750 M 3972 300 -9850 M 3973 79.9 0 32 (At the decoder the IDCT reverses this processing step. ) W 3974 300 -10950 M 3975 175.8 0 32 (It takes the 64 DCT coefficients \(which at that point) W 3976 300 -12050 M 3977 43.7 0 32 (have been quantized\) and reconstructs a 64\255point ouput) W 3978 300 -13150 M 3979 855.7 0 32 (image signal by summing the basis signals. ) W 3980 300 -14250 M 3981 254.3 0 32 (Mathematically, the DCT is one\255to\255one mapping for) W 3982 300 -15350 M 3983 107.3 0 32 (64\255point vectors between the image and the frequency) W 3984 300 -16450 M 3985 135.6 0 32 (domains. If the FDCT and IDCT could be computed) W 3986 300 -17550 M 3987 56.0 0 32 (with perfect accuracy and if the DCT coefficients were) W 3988 300 -18650 M 3989 412.3 0 32 (not quantized as in the following description, the) W 3990 300 -19750 M 3991 59.0 0 32 (original 64\255point signal could be exactly recovered. In) W 3992 300 -20850 M 3993 260.1 0 32 (principle, the DCT introduces no loss to the source) W 3994 300 -21950 M 3995 83.0 0 32 (image samples; it merely transforms them to a domain) W 3996 300 -23050 M 3997 (in which they can be more efficiently encoded. ) h 3998 300 -24150 M 3999 300 -25250 M 4000 675.7 0 32 (Some properties of practical FDCT and IDCT) W 4001 300 -26350 M 4002 462.7 0 32 (implementations raise the issue of what precisely) W 4003 300 -27450 M 4004 579.6 0 32 (should be required by the JPEG standard. A) W 4005 300 -28550 M 4006 368.7 0 32 (fundamental property is that the FDCT and IDCT) W 4007 300 -29650 M 4008 1721.7 0 32 (equations contain transcendental functions. ) W 4009 300 -30750 M 4010 922.8 0 32 (Consequently, no physical implementation can) W 4011 300 -31850 M 4012 156.5 0 32 (compute them with perfect accuracy. Because of the) W 4013 300 -32950 M 4014 231.0 0 32 (DCT's application importance and its relationship to) W 4015 300 -34050 M 4016 388.6 0 32 (the DFT, many different algorithms by which the) W 4017 -6325 37291 T 4018 R 4019 4020 S 4021 31919 -37291 T 4022 N 4023 0 G 4024 300 -1050 M 4025 /Times-Roman-ISOLatin1 F 1000 o f 4026 11.7 0 32 (FDCT and IDCT may be approximately computed have) W 4027 300 -2150 M 4028 382.1 0 32 (been devised [16]. Indeed, research in fast DCT) W 4029 300 -3250 M 4030 439.7 0 32 (algorithms is ongoing and no single algorithm is) W 4031 300 -4350 M 4032 204.3 0 32 (optimal for all implementations. What is optimal in) W 4033 300 -5450 M 4034 166.6 0 32 (software for a general\255purpose CPU is unlikely to be) W 4035 300 -6550 M 4036 194.3 0 32 (optimal in firmware for a programmable DSP and is) W 4037 300 -7650 M 4038 (certain to be suboptimal for dedicated VLSI.) h 4039 300 -8750 M 4040 300 -9850 M 4041 94.1 0 32 (Even in light of the finite precision of the DCT inputs) W 4042 300 -10950 M 4043 228.3 0 32 (and outputs, independently designed implementations) W 4044 300 -12050 M 4045 3.0 0 32 (of the very same FDCT or IDCT algorithm which differ) W 4046 300 -13150 M 4047 62.4 0 32 (even minutely in the precision by which they represent) W 4048 300 -14250 M 4049 55.4 0 32 (cosine terms or intermediate results, or in the way they) W 4050 300 -15350 M 4051 522.8 0 32 (sum and round fractional values, will eventually) W 4052 300 -16450 M 4053 (produce slightly different outputs from identical inputs.) h 4054 300 -17550 M 4055 300 -18650 M 4056 101.8 0 32 (To preserve freedom for innovation and customization) W 4057 300 -19750 M 4058 235.5 0 32 (within implementations, JPEG has chosen to specify) W 4059 300 -20850 M 4060 215.0 0 32 (neither a unique FDCT algorithm or a unique IDCT) W 4061 300 -21950 M 4062 491.6 0 32 (algorithm in its proposed standard. This makes) W 4063 300 -23050 M 4064 610.8 0 32 (compliance somewhat more difficult to confirm,) W 4065 300 -24150 M 4066 783.6 0 32 (because two compliant encoders \(or decoders\)) W 4067 300 -25250 M 4068 425.5 0 32 (generally will not produce identical outputs given) W 4069 300 -26350 M 4070 135.0 0 32 (identical inputs. The JPEG standard will address this) W 4071 300 -27450 M 4072 330.2 0 32 (issue by specifying an accuracy test as part of its) W 4073 300 -28550 M 4074 463.0 0 32 (compliance tests for all DCT\255based encoders and) W 4075 300 -29650 M 4076 202.4 0 32 (decoders; this is to ensure against crudely inaccurate) W 4077 300 -30750 M 4078 351.7 0 32 (cosine basis functions which would degrade image) W 4079 300 -31850 M 4080 (quality.) h 4081 300 -32950 M 4082 -31919 37291 T 4083 R 4084 4085 S 4086 6807 -5369 T 4087 N 4088 S 4089 0 -31926 48224 31926 @ 4090 R 4091 0 G 4092 300 -1050 M 4093 300 -32454 M 4094 S 4095 0 -31926 48224 31926 @ 4096 R 4097 -6807 5369 T 4098 S 4099 N 4100 S 4101 7334 -36777 47169 30008 @ I N 4102 7334 -6769 T 4103 N 4104 S 4105 4831 -1639 M 4106 /Times-Roman-ISOLatin1 F 952 o f 4107 ( ) h 4108 n 1.050 o f 4109 (8x8 blocks) h 4110 n 0.920 o f 4111 ( ) h 4112 n 1.087 o f 4113 (DCT\255Based Encoder) h 4114 R 4115 4116 4117 S 4118 12324 -4884 M 4119 /Times-Roman-ISOLatin1 F 953 o f 4120 (FDCT Quantizer) h 4121 R 4122 4123 S 4124 26405 -4469 M 4125 /Times-Roman-ISOLatin1 F 952 o f 4126 ( Entropy) h 4127 R 4128 4129 S 4130 26238 -5384 M 4131 /Times-Roman-ISOLatin1 F 953 o f 4132 ( Encoder) h 4133 R 4134 4135 S 4136 4449 -9800 M 4137 /Times-Roman-ISOLatin1 F 952 o f 4138 ( Source Table Table Compressed) h 4139 R 4140 4141 S 4142 5855 -3376 M 4143 /Symbol F 956 o f 4144 (\267) h 4145 R 4146 4147 S 4148 26371 -10785 M 4149 /Times-Roman-ISOLatin1 F 952 o f 4150 (Specifications Image Data) h 4151 R 4152 4153 S 4154 4285 -7317 4498 4499 @ 4155 S 4156 75 w 4157 0 c 4158 0 j 4159 2 i 4160 0.00 G k 4161 R 4162 R 4163 4164 S 4165 N 4166 5855.00 -2848.00 M 4167 5855.00 -5679.00 L 4168 S 4169 50 w 4170 0 c 4171 0 j 4172 2 i 4173 0.00 G k 4174 R 4175 R 4176 4177 S 4178 N 4179 7394.00 -3392.00 M 4180 4309.00 -3392.00 L 4181 S 4182 50 w 4183 0 c 4184 0 j 4185 2 i 4186 0.00 G k 4187 R 4188 R 4189 4190 S 4191 N 4192 7394.00 -3854.00 M 4193 4309.00 -3854.00 L 4194 S 4195 50 w 4196 0 c 4197 0 j 4198 2 i 4199 0.00 G k 4200 R 4201 R 4202 4203 S 4204 N 4205 7394.00 -4827.00 M 4206 4309.00 -4827.00 L 4207 S 4208 50 w 4209 0 c 4210 0 j 4211 2 i 4212 0.00 G k 4213 R 4214 R 4215 4216 S 4217 N 4218 6370.00 -2848.00 M 4219 6370.00 -5679.00 L 4220 S 4221 50 w 4222 0 c 4223 0 j 4224 2 i 4225 0.00 G k 4226 R 4227 R 4228 4229 S 4230 N 4231 5338.00 -2848.00 M 4232 5338.00 -5679.00 L 4233 S 4234 50 w 4235 0 c 4236 0 j 4237 2 i 4238 0.00 G k 4239 R 4240 R 4241 4242 S 4243 N 4244 4824.00 -2848.00 M 4245 4824.00 -5679.00 L 4246 S 4247 50 w 4248 0 c 4249 0 j 4250 2 i 4251 0.00 G k 4252 R 4253 R 4254 4255 S 4256 18156 -6304 5249 3497 @ 4257 S 4258 75 w 4259 0 c 4260 0 j 4261 2 i 4262 0.00 G k 4263 R 4264 R 4265 4266 S 4267 25572 -6304 5248 3497 @ 4268 S 4269 75 w 4270 0 c 4271 0 j 4272 2 i 4273 0.00 G k 4274 R 4275 R 4276 4277 S 4278 10909 -6304 5249 3497 @ 4279 S 4280 75 w 4281 0 c 4282 0 j 4283 2 i 4284 0.00 G k 4285 R 4286 R 4287 4288 S 4289 N 4290 16116.00 -4556.00 M 4291 18078.00 -4556.00 L 4292 S 4293 50 w 4294 0 c 4295 0 j 4296 2 i 4297 0.00 G k 4298 R 4299 R 4300 S 4301 N 4302 17594.00 -4810.00 M 4303 18137.00 -4556.00 L 4304 17594.00 -4303.00 L 4305 S 4306 50 w 4307 0 c 4308 0 j 4309 2 i 4310 0.00 G k 4311 R 4312 R 4313 4314 S 4315 N 4316 23531.00 -4640.00 M 4317 25494.00 -4640.00 L 4318 S 4319 50 w 4320 0 c 4321 0 j 4322 2 i 4323 0.00 G k 4324 R 4325 R 4326 S 4327 N 4328 25010.00 -4894.00 M 4329 25553.00 -4640.00 L 4330 25010.00 -4387.00 L 4331 S 4332 50 w 4333 0 c 4334 0 j 4335 2 i 4336 0.00 G k 4337 R 4338 R 4339 4340 S 4341 9866 -7803 22162 5746 @ 4342 S 4343 300 w 4344 0 c 4345 0 j 4346 0.875 G k 4347 R 4348 R 4349 4350 S 4351 17928 -10786 M 4352 /Times-Roman-ISOLatin1 F 953 o f 4353 ( Specifications) h 4354 R 4355 4356 S 4357 33028 -5389 7722 1583 @ 4358 S 4359 50 w 4360 0 c 4361 0 j 4362 2 i 4363 0.00 G k 4364 R 4365 R 4366 4367 S 4368 4730 -10756 M 4369 /Times-Roman-ISOLatin1 F 952 o f 4370 (Image Data) h 4371 R 4372 4373 S 4374 N 4375 20737.00 -8888.00 M 4376 20737.00 -6505.00 L 4377 S 4378 50 w 4379 0 c 4380 0 j 4381 2 i 4382 0.00 G k 4383 R 4384 R 4385 S 4386 N 4387 20991.00 -6990.00 M 4388 20737.00 -6446.00 L 4389 20484.00 -6990.00 L 4390 S 4391 50 w 4392 0 c 4393 0 j 4394 2 i 4395 0.00 G k 4396 R 4397 R 4398 4399 S 4400 N 4401 28486.00 -8960.00 M 4402 28486.00 -6422.00 L 4403 S 4404 50 w 4405 0 c 4406 0 j 4407 2 i 4408 0.00 G k 4409 R 4410 R 4411 S 4412 N 4413 28740.00 -6907.00 M 4414 28486.00 -6363.00 L 4415 28233.00 -6907.00 L 4416 S 4417 50 w 4418 0 c 4419 0 j 4420 2 i 4421 0.00 G k 4422 R 4423 R 4424 4425 S 4426 N 4427 8784.00 -4472.00 M 4428 10749.00 -4472.00 L 4429 S 4430 50 w 4431 0 c 4432 0 j 4433 2 i 4434 0.00 G k 4435 R 4436 R 4437 S 4438 N 4439 10265.00 -4726.00 M 4440 10808.00 -4472.00 L 4441 10265.00 -4219.00 L 4442 S 4443 50 w 4444 0 c 4445 0 j 4446 2 i 4447 0.00 G k 4448 R 4449 R 4450 4451 S 4452 N 4453 30777.00 -4640.00 M 4454 32977.00 -4640.00 L 4455 S 4456 50 w 4457 0 c 4458 0 j 4459 2 i 4460 0.00 G k 4461 R 4462 R 4463 S 4464 N 4465 32493.00 -4894.00 M 4466 33036.00 -4640.00 L 4467 32493.00 -4387.00 L 4468 S 4469 50 w 4470 0 c 4471 0 j 4472 2 i 4473 0.00 G k 4474 R 4475 R 4476 4477 S 4478 N 4479 7394.00 -4368.00 M 4480 4309.00 -4368.00 L 4481 S 4482 50 w 4483 0 c 4484 0 j 4485 2 i 4486 0.00 G k 4487 R 4488 R 4489 4490 S 4491 N 4492 6145.00 -3100.00 M 4493 7453.00 -1795.00 L 4494 S 4495 0.00 G E 4496 R 4497 S 4498 50 w 4499 0 c 4500 0 j 4501 2 i 4502 0.00 G k 4503 R 4504 R 4505 4506 S 4507 25538 -11119 6457 2163 @ 4508 S 4509 50 w 4510 0 c 4511 0 j 4512 2 i 4513 0.00 G k 4514 R 4515 R 4516 4517 S 4518 17583 -11119 6457 2163 @ 4519 S 4520 50 w 4521 0 c 4522 0 j 4523 2 i 4524 0.00 G k 4525 R 4526 R 4527 4528 S 4529 N 4530 19655.00 -19554.00 M 4531 21722.00 -19554.00 L 4532 S 4533 50 w 4534 0 c 4535 0 j 4536 2 i 4537 0.00 G k 4538 R 4539 R 4540 S 4541 N 4542 21238.00 -19808.00 M 4543 21781.00 -19554.00 L 4544 21238.00 -19301.00 L 4545 S 4546 50 w 4547 0 c 4548 0 j 4549 2 i 4550 0.00 G k 4551 R 4552 R 4553 4554 S 4555 21912 -21471 5099 3358 @ 4556 S 4557 75 w 4558 0 c 4559 0 j 4560 2 i 4561 0.00 G k 4562 R 4563 R 4564 4565 S 4566 14549 -21470 5098 3358 @ 4567 S 4568 75 w 4569 0 c 4570 0 j 4571 2 i 4572 0.00 G k 4573 R 4574 R 4575 4576 S 4577 29357 -21470 5099 3357 @ 4578 S 4579 75 w 4580 0 c 4581 0 j 4582 2 i 4583 0.00 G k 4584 R 4585 R 4586 4587 S 4588 12673 -23102 22880 5954 @ 4589 S 4590 400 w 4591 0 c 4592 0 j 4593 0.875 G k 4594 R 4595 R 4596 4597 S 4598 15119 -19684 M 4599 /Times-Roman-ISOLatin1 F 952 o f 4600 ( Entropy) h 4601 R 4602 4603 S 4604 14875 -20720 M 4605 /Times-Roman-ISOLatin1 F 953 o f 4606 ( Decoder) h 4607 R 4608 4609 S 4610 21926 -20023 M 4611 /Times-Roman-ISOLatin1 F 952 o f 4612 ( Dequantizer IDCT) h 4613 R 4614 4615 S 4616 20991 -16674 M 4617 /Times-Roman-ISOLatin1 F 952 o f 4618 (DCT\255Based Decoder) h 4619 R 4620 4621 S 4622 4785 -20333 7049 1519 @ 4623 S 4624 50 w 4625 0 c 4626 0 j 4627 2 i 4628 0.00 G k 4629 R 4630 R 4631 4632 S 4633 N 4634 27100.00 -19633.00 M 4635 29169.00 -19633.00 L 4636 S 4637 50 w 4638 0 c 4639 0 j 4640 2 i 4641 0.00 G k 4642 R 4643 R 4644 S 4645 N 4646 28685.00 -19887.00 M 4647 29228.00 -19633.00 L 4648 28685.00 -19380.00 L 4649 S 4650 50 w 4651 0 c 4652 0 j 4653 2 i 4654 0.00 G k 4655 R 4656 R 4657 4658 S 4659 N 4660 17599.00 -23877.00 M 4661 17599.00 -21524.00 L 4662 S 4663 50 w 4664 0 c 4665 0 j 4666 2 i 4667 0.00 G k 4668 R 4669 R 4670 S 4671 N 4672 17852.00 -22009.00 M 4673 17598.00 -21465.00 L 4674 17345.00 -22009.00 L 4675 S 4676 50 w 4677 0 c 4678 0 j 4679 2 i 4680 0.00 G k 4681 R 4682 R 4683 4684 4685 S 4686 N 4687 12008.00 -19628.00 M 4688 14553.00 -19628.00 L 4689 S 4690 50 w 4691 0 c 4692 0 j 4693 2 i 4694 0.00 G k 4695 R 4696 R 4697 S 4698 N 4699 14069.00 -19881.00 M 4700 14612.00 -19627.00 L 4701 14068.00 -19374.00 L 4702 S 4703 50 w 4704 0 c 4705 0 j 4706 2 i 4707 0.00 G k 4708 R 4709 R 4710 4711 S 4712 14441 -24997 M 4713 /Times-Roman-ISOLatin1 F 952 o f 4714 ( Table Table) h 4715 R 4716 4717 S 4718 13811 -25878 M 4719 /Times-Roman-ISOLatin1 F 952 o f 4720 ( Specifications Specifications) h 4721 R 4722 4723 S 4724 6162 -24918 M 4725 /Times-Roman-ISOLatin1 F 953 o f 4726 (Compressed) h 4727 R 4728 4729 S 4730 6322 -25958 M 4731 /Times-Roman-ISOLatin1 F 953 o f 4732 (Image Data) h 4733 R 4734 4735 S 4736 35576 -25075 M 4737 /Times-Roman-ISOLatin1 F 952 o f 4738 ( Reconstructed) h 4739 R 4740 4741 S 4742 36284 -25957 M 4743 /Times-Roman-ISOLatin1 F 952 o f 4744 ( Image Data) h 4745 R 4746 4747 S 4748 36972 -22062 4448 4448 @ 4749 S 4750 75 w 4751 0 c 4752 0 j 4753 2 i 4754 0.00 G k 4755 R 4756 R 4757 4758 S 4759 N 4760 38525.00 -17644.00 M 4761 38525.00 -20445.00 L 4762 S 4763 75 w 4764 0 c 4765 0 j 4766 2 i 4767 0.00 G k 4768 R 4769 R 4770 4771 S 4772 N 4773 40045.00 -18105.00 M 4774 36996.00 -18105.00 L 4775 S 4776 75 w 4777 0 c 4778 0 j 4779 2 i 4780 0.00 G k 4781 R 4782 R 4783 4784 S 4785 N 4786 40045.00 -18615.00 M 4787 36996.00 -18615.00 L 4788 S 4789 50 w 4790 0 c 4791 0 j 4792 2 i 4793 0.00 G k 4794 R 4795 R 4796 4797 S 4798 N 4799 40045.00 -19554.00 M 4800 36996.00 -19554.00 L 4801 S 4802 75 w 4803 0 c 4804 0 j 4805 2 i 4806 0.00 G k 4807 R 4808 R 4809 4810 S 4811 N 4812 39033.00 -17644.00 M 4813 39033.00 -20445.00 L 4814 S 4815 75 w 4816 0 c 4817 0 j 4818 2 i 4819 0.00 G k 4820 R 4821 R 4822 4823 S 4824 N 4825 38015.00 -17644.00 M 4826 38015.00 -20445.00 L 4827 S 4828 75 w 4829 0 c 4830 0 j 4831 2 i 4832 0.00 G k 4833 R 4834 R 4835 4836 S 4837 N 4838 37506.00 -17644.00 M 4839 37506.00 -20445.00 L 4840 S 4841 75 w 4842 0 c 4843 0 j 4844 2 i 4845 0.00 G k 4846 R 4847 R 4848 4849 S 4850 N 4851 40045.00 -19021.00 M 4852 36996.00 -19021.00 L 4853 S 4854 75 w 4855 0 c 4856 0 j 4857 2 i 4858 0.00 G k 4859 R 4860 R 4861 4862 S 4863 N 4864 25797.00 -23877.00 M 4865 25797.00 -21524.00 L 4866 S 4867 50 w 4868 0 c 4869 0 j 4870 2 i 4871 0.00 G k 4872 R 4873 R 4874 S 4875 N 4876 26050.00 -22009.00 M 4877 25796.00 -21465.00 L 4878 25543.00 -22009.00 L 4879 S 4880 50 w 4881 0 c 4882 0 j 4883 2 i 4884 0.00 G k 4885 R 4886 R 4887 4888 S 4889 N 4890 34472.00 -19706.00 M 4891 36858.00 -19706.00 L 4892 S 4893 50 w 4894 0 c 4895 0 j 4896 2 i 4897 0.00 G k 4898 R 4899 R 4900 S 4901 N 4902 36374.00 -19959.00 M 4903 36917.00 -19705.00 L 4904 36373.00 -19452.00 L 4905 S 4906 50 w 4907 0 c 4908 0 j 4909 2 i 4910 0.00 G k 4911 R 4912 R 4913 4914 S 4915 N 4916 13486.00 -19678.00 M 4917 13486.00 -22359.00 L 4918 24363.00 -22359.00 L 4919 24363.00 -23817.00 L 4920 S 4921 50 w 4922 0 c 4923 0 j 4924 2 i 4925 0.00 G k 4926 R 4927 R 4928 S 4929 N 4930 24110.00 -23333.00 M 4931 24363.00 -23876.00 L 4932 24617.00 -23333.00 L 4933 S 4934 50 w 4935 0 c 4936 0 j 4937 2 i 4938 0.00 G k 4939 R 4940 R 4941 4942 S 4943 N 4944 16007.00 -22358.00 M 4945 16007.00 -23817.00 L 4946 S 4947 50 w 4948 0 c 4949 0 j 4950 2 i 4951 0.00 G k 4952 R 4953 R 4954 S 4955 N 4956 15754.00 -23333.00 M 4957 16007.00 -23876.00 L 4958 16261.00 -23333.00 L 4959 S 4960 50 w 4961 0 c 4962 0 j 4963 2 i 4964 0.00 G k 4965 R 4966 R 4967 4968 S 4969 22435 -26281 6457 2323 @ 4970 S 4971 50 w 4972 0 c 4973 0 j 4974 2 i 4975 0.00 G k 4976 R 4977 R 4978 4979 S 4980 13621 -26281 6455 2323 @ 4981 S 4982 50 w 4983 0 c 4984 0 j 4985 2 i 4986 0.00 G k 4987 R 4988 R 4989 4990 S 4991 13684 -13555 M 4992 /Times-Roman-ISOLatin1 F 1000 o f 4993 (Figure 1. DCT\255Based Encoder Processing Steps) h 4994 R 4995 4996 S 4997 15889 -28638 M 4998 /Times-Roman-ISOLatin1 F 1000 o f 4999 (Figure 2. DCT\255Based Decoder Processing Steps) h 5000 R 5001 5002 R 5003 5004 5005 R 5006 R 5007 5008 S 5009 30679 -75354 M 5010 /Times-Roman-ISOLatin1 F 1000 o f 5011 (4) h 5012 R 5013 5014 showpage 5015 $P e 5016 5017 %%Page: 5 5 5018 /$P a D 5019 g N 5020 0 79200 T 5021 S 5022 R 5023 S 5024 6312 -7174 T 5025 N 5026 0 G 5027 300 -1050 M 5028 /Times-Roman-ISOLatin1 $ 5029 /Times-Roman & P 5030 /Times-Roman-ISOLatin1 F 1000 o f 5031 325.3 0 32 (For each DCT\255based mode of operation, the JPEG) W 5032 300 -2150 M 5033 12.0 0 32 (proposal specifies separate codecs for images with 8\255bit) W 5034 300 -3250 M 5035 17.4 0 32 (and 12\255bit \(per component\) source image samples. The) W 5036 300 -4350 M 5037 71.6 0 32 (12\255bit codecs, needed to accommodate certain types of) W 5038 300 -5450 M 5039 1166.8 0 32 (medical and other images, require greater) W 5040 300 -6550 M 5041 83.3 0 32 (computational resources to achieve the required FDCT) W 5042 300 -7650 M 5043 595.3 0 32 (or IDCT accuracy. Images with other sample) W 5044 300 -8750 M 5045 162.7 0 32 (precisions can usually be accommodated by either an) W 5046 300 -9850 M 5047 58.0 0 32 (8\255bit or 12\255bit codec, but this must be done outside the) W 5048 300 -10950 M 5049 534.4 0 32 (JPEG standard. For example, it would be the) W 5050 300 -12050 M 5051 101.6 0 32 (responsibility of an application to decide how to fit or) W 5052 300 -13150 M 5053 402.5 0 32 (pad a 6\255bit sample into the 8\255bit encoder's input) W 5054 300 -14250 M 5055 46.3 0 32 (interface, how to unpack it at the decoder's output, and) W 5056 300 -15350 M 5057 (how to encode any necessary related information.) h 5058 300 -16450 M 5059 300 -17550 M 5060 /Times-Bold-ISOLatin1 $ 5061 /Times-Bold & P 5062 /Times-Bold-ISOLatin1 F 1000 o f 5063 (4.2 Quantization) h 5064 300 -19250 M 5065 /Times-Roman-ISOLatin1 F 1000 o f 5066 296.1 0 32 (After output from the FDCT, each of the 64 DCT) W 5067 300 -20350 M 5068 73.7 0 32 (coefficients is uniformly quantized in conjunction with) W 5069 300 -21450 M 5070 495.2 0 32 (a 64\255element Quantization Table, which must be) W 5071 300 -22550 M 5072 66.6 0 32 (specified by the application \(or user\) as an input to the) W 5073 300 -23650 M 5074 19.7 0 32 (encoder. Each element can be any integer value from 1) W 5075 300 -24750 M 5076 13.9 0 32 (to 255, which specifies the step size of the quantizer for) W 5077 300 -25850 M 5078 277.7 0 32 (its corresponding DCT coefficient. The purpose of) W 5079 300 -26950 M 5080 453.5 0 32 (quantization is to achieve further compression by) W 5081 300 -28050 M 5082 18.7 0 32 (representing DCT coefficients with no greater precision) W 5083 300 -29150 M 5084 93.8 0 32 (than is necessary to achieve the desired image quality. ) W 5085 300 -30250 M 5086 110.9 0 32 (Stated another way, the goal of this processing step is) W 5087 300 -31350 M 5088 39.1 0 32 (to discard information which is not visually significant.) W 5089 300 -32450 M 5090 125.0 0 32 (Quantization is a many\255to\255one mapping, and therefore) W 5091 300 -33550 M 5092 215.8 0 32 (is fundamentally lossy. It is the principal source of) W 5093 300 -34650 M 5094 (lossiness in DCT\255based encoders.) h 5095 300 -35750 M 5096 300 -36850 M 5097 448.1 0 32 (Quantization is defined as division of each DCT) W 5098 300 -37950 M 5099 310.2 0 32 (coefficient by its corresponding quantizer step size,) W 5100 300 -39050 M 5101 (followed by rounding to the nearest integer:) h 5102 300 -40150 M 5103 -6312 7174 T 5104 S 5105 N 5106 S 5107 6806 -52373 22051 4699 @ I N 5108 6806 -47674 T 5109 N 5110 N 5111 S 5112 1946 -4021 18495 3678 @ I N 5113 1946 -343 T 5114 N 5115 N 5116 S 5117 0 -3199 18495 3199 @ I N 5118 0 0 T 5119 N 5120 S 5121 800 -2152 M 5122 /Dutch801-Italic-DECmath_Italic F 1200 o f 5123 (F) h 5124 R 5125 5126 S 5127 1533 -1492 M 5128 /Dutch801-Italic-DECmath_Italic F 800 o f 5129 (Q) h 5130 R 5131 5132 S 5133 2111 -2170 M 5134 /Times-Roman-ISOLatin1 F 1200 o f 5135 (\() h 5136 R 5137 5138 S 5139 2510 -2152 M 5140 /Dutch801-Italic-DECmath_Italic F 1200 o f 5141 (u) h 5142 R 5143 5144 S 5145 3110 -2170 M 5146 /Times-Roman-ISOLatin1 F 1200 o f 5147 (,) h 5148 R 5149 5150 S 5151 3588 -2151 M 5152 /Dutch801-Italic-DECmath_Italic F 1200 o f 5153 (v) h 5154 R 5155 5156 S 5157 4121 -2170 M 5158 /Times-Roman-ISOLatin1 F 1200 o f 5159 (\)) h 5160 R 5161 5162 S 5163 4521 -2170 M 5164 /Times-Roman-ISOLatin1 F 1200 o f 5165 ( ) h 5166 R 5167 5168 S 5169 5354 -2170 M 5170 /Times-Roman-ISOLatin1 F 1200 o f 5171 (=) h 5172 R 5173 5174 S 5175 6565 -2170 M 5176 /Times-Roman-ISOLatin1 F 1200 o f 5177 ( ) h 5178 R 5179 5180 S 5181 6865 -2152 M 5182 /Dutch801-Italic-DECmath_Italic F 1200 o f 5183 (Integer) h 5184 R 5185 5186 S 5187 10331 -2170 M 5188 /Times-Roman-ISOLatin1 F 1200 o f 5189 ( ) h 5190 R 5191 5192 S 5193 10631 -2152 M 5194 /Dutch801-Italic-DECmath_Italic F 1200 o f 5195 (Round) h 5196 R 5197 5198 S 5199 13764 -2170 M 5200 /Times-Roman-ISOLatin1 F 1200 o f 5201 ( ) h 5202 R 5203 5204 S 5205 14064 -2170 M 5206 /Times-Roman-ISOLatin1 F 1200 o f 5207 (\() h 5208 R 5209 5210 S 5211 14519 -1492 M 5212 /Times-Roman-ISOLatin1 F 1000 o f 5213 ( ) h 5214 R 5215 5216 S 5217 14769 -1571 M 5218 /Dutch801-Italic-DECmath_Italic F 1000 o f 5219 (F) h 5220 R 5221 5222 S 5223 15380 -1492 M 5224 /Times-Roman-ISOLatin1 F 1000 o f 5225 (\() h 5226 R 5227 5228 S 5229 15713 -1571 M 5230 /Dutch801-Italic-DECmath_Italic F 1000 o f 5231 (u) h 5232 R 5233 5234 S 5235 16213 -1492 M 5236 /Times-Roman-ISOLatin1 F 1000 o f 5237 (,) h 5238 R 5239 5240 S 5241 16463 -1571 M 5242 /Dutch801-Italic-DECmath_Italic F 1000 o f 5243 (v) h 5244 R 5245 5246 S 5247 16907 -1492 M 5248 /Times-Roman-ISOLatin1 F 1000 o f 5249 (\)) h 5250 R 5251 5252 S 5253 14463 -2789 M 5254 /Dutch801-Italic-DECmath_Italic F 1000 o f 5255 (Q) h 5256 R 5257 5258 S 5259 15185 -2710 M 5260 /Times-Roman-ISOLatin1 F 1000 o f 5261 (\() h 5262 R 5263 5264 S 5265 15518 -2789 M 5266 /Dutch801-Italic-DECmath_Italic F 1000 o f 5267 (u) h 5268 R 5269 5270 S 5271 16018 -2710 M 5272 /Times-Roman-ISOLatin1 F 1000 o f 5273 (,) h 5274 R 5275 5276 S 5277 16268 -2789 M 5278 /Dutch801-Italic-DECmath_Italic F 1000 o f 5279 (v) h 5280 R 5281 5282 S 5283 16712 -2710 M 5284 /Times-Roman-ISOLatin1 F 1000 o f 5285 (\)) h 5286 R 5287 5288 S 5289 N 5290 14463.00 -1885.00 M 5291 17295.00 -1885.00 L 5292 S 5293 49 w 5294 0 c 5295 0 j 5296 2 i 5297 0.00 G k 5298 R 5299 R 5300 5301 S 5302 17045 -2710 M 5303 /Times-Roman-ISOLatin1 F 1000 o f 5304 ( ) h 5305 R 5306 5307 S 5308 17295 -2170 M 5309 /Times-Roman-ISOLatin1 F 1200 o f 5310 (\)) h 5311 R 5312 5313 R 5314 5315 5316 R 5317 5318 5319 5320 S 5321 20876 -2965 M 5322 /Times-Roman-ISOLatin1 F 1000 o f 5323 (\(3\)) h 5324 R 5325 5326 R 5327 5328 5329 R 5330 R 5331 5332 S 5333 31919 -7170 T 5334 N 5335 0 G 5336 300 -1050 M 5337 /Times-Roman-ISOLatin1 F 1000 o f 5338 152.5 0 32 (This output value is normalized by the quantizer step) W 5339 300 -2150 M 5340 117.9 0 32 (size. Dequantization is the inverse function, which in) W 5341 300 -3250 M 5342 471.7 0 32 (this case means simply that the normalization is) W 5343 300 -4350 M 5344 51.8 0 32 (removed by multiplying by the step size, which returns) W 5345 300 -5450 M 5346 9.2 0 32 (the result to a representation appropriate for input to the) W 5347 300 -6550 M 5348 (IDCT:) h 5349 300 -11965 M 5350 /Times-Roman-ISOLatin1 F 1000 o f 5351 205.4 0 32 (When the aim is to compress the image as much as) W 5352 300 -13065 M 5353 71.1 0 32 (possible without visible artifacts, each step size ideally) W 5354 300 -14165 M 5355 173.5 0 32 (should be chosen as the perceptual threshold or ) W 5356 173.5 0 32 (\026) W 5357 173.5 0 32 (just) W 5358 300 -15265 M 5359 91.3 0 32 (noticeable difference) W 5360 91.3 0 32 (\027) W 5361 91.3 0 32 ( for the visual contribution of its) W 5362 300 -16365 M 5363 97.0 0 32 (corresponding cosine basis function. These thresholds) W 5364 300 -17465 M 5365 151.0 0 32 (are also functions of the source image characteristics,) W 5366 300 -18565 M 5367 458.2 0 32 (display characteristics and viewing distance. For) W 5368 300 -19665 M 5369 43.7 0 32 (applications in which these variables can be reasonably) W 5370 300 -20765 M 5371 755.4 0 32 (well defined, psychovisual experiments can be) W 5372 300 -21865 M 5373 428.4 0 32 (performed to determine the best thresholds. The) W 5374 300 -22965 M 5375 410.4 0 32 (experiment described in [12] has led to a set of) W 5376 300 -24065 M 5377 388.7 0 32 (Quantization Tables for CCIR\255601 [4] images and) W 5378 300 -25165 M 5379 309.4 0 32 (displays. These have been used experimentally by) W 5380 300 -26265 M 5381 5.5 0 32 (JPEG members and will appear in the ISO standard as a) W 5382 300 -27365 M 5383 (matter of information, but not as a requirement.) h 5384 300 -28465 M 5385 300 -29565 M 5386 /Times-Bold-ISOLatin1 F 1000 o f 5387 (4.3 DC Coding and Zig\255Zag Sequence) h 5388 300 -31265 M 5389 /Times-Roman-ISOLatin1 F 1000 o f 5390 560.2 0 32 (After quantization, the DC coefficient is treated) W 5391 300 -32365 M 5392 371.5 0 32 (separately from the 63 AC coefficients. The DC) W 5393 300 -33465 M 5394 83.6 0 32 (coefficient is a measure of the average value of the 64) W 5395 300 -34565 M 5396 483.9 0 32 (image samples. Because there is usually strong) W 5397 300 -35665 M 5398 12.1 0 32 (correlation between the DC coefficients of adjacent 8x8) W 5399 300 -36765 M 5400 93.8 0 32 (blocks, the quantized DC coefficient is encoded as the) W 5401 300 -37865 M 5402 138.9 0 32 (difference from the DC term of the previous block in) W 5403 300 -38965 M 5404 24.3 0 32 (the encoding order \(defined in the following\), as shown) W 5405 300 -40065 M 5406 157.1 0 32 (in Figure 3. This special treatment is worthwhile, as) W 5407 300 -41165 M 5408 9.3 0 32 (DC coefficients frequently contain a significant fraction) W 5409 300 -42265 M 5410 (of the total image energy.) h 5411 300 -43365 M 5412 -31919 7170 T 5413 S 5414 N 5415 S 5416 32270 -18385 22338 4315 @ I N 5417 32270 -14070 T 5418 N 5419 N 5420 S 5421 3092 -3422 16296 3021 @ I N 5422 3092 -401 T 5423 N 5424 N 5425 S 5426 0 -3021 16296 3021 @ I N 5427 0 0 T 5428 N 5429 S 5430 800 -1999 M 5431 /Dutch801-Italic-DECmath_Italic F 1200 o f 5432 (F) h 5433 R 5434 5435 S 5436 1533 -1339 M 5437 /Dutch801-Italic-DECmath_Italic F 800 o f 5438 (Q) h 5439 R 5440 5441 S 5442 2236 -1250 M 5443 /Dutch801-Roman-DECmath_Symbol F 695 o f 5444 (0) h 5445 R 5446 5447 S 5448 2333 -2017 M 5449 /Times-Roman-ISOLatin1 F 1200 o f 5450 (\() h 5451 R 5452 5453 S 5454 2733 -1999 M 5455 /Dutch801-Italic-DECmath_Italic F 1200 o f 5456 (u) h 5457 R 5458 5459 S 5460 3333 -2016 M 5461 /Times-Roman-ISOLatin1 F 1200 o f 5462 (,) h 5463 R 5464 5465 S 5466 3811 -1998 M 5467 /Dutch801-Italic-DECmath_Italic F 1200 o f 5468 (v) h 5469 R 5470 5471 S 5472 4344 -2016 M 5473 /Times-Roman-ISOLatin1 F 1200 o f 5474 (\)) h 5475 R 5476 5477 S 5478 4743 -2017 M 5479 /Times-Roman-ISOLatin1 F 1200 o f 5480 ( ) h 5481 R 5482 5483 S 5484 5577 -2017 M 5485 /Times-Roman-ISOLatin1 F 1200 o f 5486 (=) h 5487 R 5488 5489 S 5490 6787 -1999 M 5491 /Dutch801-Italic-DECmath_Italic F 1200 o f 5492 (F) h 5493 R 5494 5495 S 5496 7521 -1339 M 5497 /Dutch801-Italic-DECmath_Italic F 800 o f 5498 (Q) h 5499 R 5500 5501 S 5502 8098 -2016 M 5503 /Times-Roman-ISOLatin1 F 1200 o f 5504 (\() h 5505 R 5506 5507 S 5508 8498 -1999 M 5509 /Dutch801-Italic-DECmath_Italic F 1200 o f 5510 (u) h 5511 R 5512 5513 S 5514 9098 -2016 M 5515 /Times-Roman-ISOLatin1 F 1200 o f 5516 (,) h 5517 R 5518 5519 S 5520 9576 -1998 M 5521 /Dutch801-Italic-DECmath_Italic F 1200 o f 5522 (v) h 5523 R 5524 5525 S 5526 10108 -2016 M 5527 /Times-Roman-ISOLatin1 F 1200 o f 5528 (\)) h 5529 R 5530 5531 S 5532 12219 -1999 M 5533 /Dutch801-Italic-DECmath_Italic F 1200 o f 5534 (Q) h 5535 R 5536 5537 S 5538 13086 -2016 M 5539 /Times-Roman-ISOLatin1 F 1200 o f 5540 (\() h 5541 R 5542 5543 S 5544 13485 -1999 M 5545 /Dutch801-Italic-DECmath_Italic F 1200 o f 5546 (u) h 5547 R 5548 5549 S 5550 14085 -2016 M 5551 /Times-Roman-ISOLatin1 F 1200 o f 5552 (,) h 5553 R 5554 5555 S 5556 14563 -1998 M 5557 /Dutch801-Italic-DECmath_Italic F 1200 o f 5558 (v) h 5559 R 5560 5561 S 5562 15096 -2016 M 5563 /Times-Roman-ISOLatin1 F 1200 o f 5564 (\)) h 5565 R 5566 5567 S 5568 11136 -2333 M 5569 /Times-Roman-ISOLatin1 F 1000 o f 5570 (*) h 5571 R 5572 5573 R 5574 5575 5576 R 5577 5578 5579 5580 S 5581 20916 -2456 M 5582 /Times-Roman-ISOLatin1 F 1000 o f 5583 (\(4\)) h 5584 R 5585 5586 R 5587 5588 5589 R 5590 R 5591 5592 S 5593 6328 -51770 T 5594 N 5595 S 5596 0 -19270 48703 19270 @ 5597 R 5598 0 G 5599 300 -1050 M 5600 300 -18936 M 5601 S 5602 0 -19270 48703 19270 @ 5603 R 5604 -6328 51770 T 5605 S 5606 N 5607 S 5608 6759 -69660 47840 16490 @ I N 5609 6759 -53170 T 5610 N 5611 S 5612 N 5613 24946.00 -873.00 M 5614 26265.00 -2033.00 L 5615 S 5616 40 w 5617 0 c 5618 0 j 5619 2 i 5620 0.00 G k 5621 R 5622 R 5623 S 5624 N 5625 25725.00 -1896.00 M 5626 26301.00 -2065.00 L 5627 26060.00 -1516.00 L 5628 S 5629 40 w 5630 0 c 5631 0 j 5632 2 i 5633 0.00 G k 5634 R 5635 R 5636 5637 5638 S 5639 N 5640 38584.00 -11977.00 M 5641 37539.00 -11120.00 L 5642 S 5643 40 w 5644 0 c 5645 0 j 5646 2 i 5647 0.00 G k 5648 R 5649 R 5650 S 5651 N 5652 38083.00 -11238.00 M 5653 37502.00 -11089.00 L 5654 37761.00 -11630.00 L 5655 S 5656 40 w 5657 0 c 5658 0 j 5659 2 i 5660 0.00 G k 5661 R 5662 R 5663 5664 S 5665 N 5666 27031.00 -874.00 M 5667 28353.00 -2033.00 L 5668 S 5669 40 w 5670 0 c 5671 0 j 5672 2 i 5673 0.00 G k 5674 R 5675 R 5676 S 5677 N 5678 27813.00 -1897.00 M 5679 28389.00 -2065.00 L 5680 28147.00 -1516.00 L 5681 S 5682 40 w 5683 0 c 5684 0 j 5685 2 i 5686 0.00 G k 5687 R 5688 R 5689 5690 S 5691 18189 -6843 M 5692 /Times-Roman-ISOLatin1 F 974 o f 5693 (. . .) h 5694 R 5695 5696 S 5697 9345 -10125 M 5698 /Times-Roman-ISOLatin1 F 973 o f 5699 (DIFF) h 5700 0.0 -436.0 m 5701 ( ) h 5702 0 436.0 m 5703 (= DC) h 5704 n 0.801 o f 5705 0.0 -349.0 m 5706 (i) h 5707 0 349.0 m 5708 n 1.249 o f 5709 0.0 -436.0 m 5710 ( ) h 5711 0 436.0 m 5712 (\255 DC) h 5713 n 0.801 o f 5714 0.0 -349.0 m 5715 (i\2551) h 5716 0 349.0 m 5717 R 5718 5719 S 5720 10936 -3013 M 5721 /Times-Roman-ISOLatin1 F 973 o f 5722 ( DC) h 5723 n 0.801 o f 5724 0.0 -349.0 m 5725 (i\2551) h 5726 0 349.0 m 5727 n 1.249 o f 5728 ( DC) h 5729 n 0.801 o f 5730 0.0 -349.0 m 5731 (i) h 5732 0 349.0 m 5733 R 5734 5735 S 5736 N 5737 11470.00 -3233.00 M 5738 10035.00 -4378.00 L 5739 S 5740 0.00 G E 5741 R 5742 S 5743 40 w 5744 0 c 5745 0 j 5746 2 i 5747 0.00 G k 5748 R 5749 R 5750 S 5751 N 5752 10264.00 -3871.00 M 5753 9997.00 -4408.00 L 5754 10580.00 -4267.00 L 5755 S 5756 40 w 5757 0 c 5758 0 j 5759 2 i 5760 0.00 G k 5761 R 5762 R 5763 5764 S 5765 N 5766 16221.00 -3158.00 M 5767 14612.00 -4168.00 L 5768 S 5769 0.00 G E 5770 R 5771 S 5772 40 w 5773 0 c 5774 0 j 5775 2 i 5776 0.00 G k 5777 R 5778 R 5779 S 5780 N 5781 14897.00 -3690.00 M 5782 14571.00 -4193.00 L 5783 15166.00 -4119.00 L 5784 S 5785 40 w 5786 0 c 5787 0 j 5788 2 i 5789 0.00 G k 5790 R 5791 R 5792 5793 S 5794 26789 -2756 M 5795 /Symbol F 973 o f 5796 (\267) h 5797 R 5798 5799 S 5800 28180 -2673 M 5801 /Symbol F 975 o f 5802 (\267) h 5803 R 5804 5805 S 5806 29672 -2673 M 5807 /Symbol F 973 o f 5808 (\267) h 5809 R 5810 5811 S 5812 31162 -2673 M 5813 /Symbol F 973 o f 5814 (\267) h 5815 R 5816 5817 S 5818 32652 -2673 M 5819 /Symbol F 975 o f 5820 (\267) h 5821 R 5822 5823 S 5824 34241 -2673 M 5825 /Symbol F 975 o f 5826 (\267) h 5827 R 5828 5829 S 5830 35533 -2673 M 5831 /Symbol F 975 o f 5832 (\267) h 5833 R 5834 5835 S 5836 37024 -2673 M 5837 /Symbol F 975 o f 5838 (\267) h 5839 R 5840 5841 S 5842 26789 -3895 M 5843 /Symbol F 973 o f 5844 (\267) h 5845 R 5846 5847 S 5848 28281 -3895 M 5849 /Symbol F 973 o f 5850 (\267) h 5851 R 5852 5853 S 5854 29672 -3895 M 5855 /Symbol F 973 o f 5856 (\267) h 5857 R 5858 5859 S 5860 31162 -3895 M 5861 /Symbol F 973 o f 5862 (\267) h 5863 R 5864 5865 S 5866 32652 -3895 M 5867 /Symbol F 975 o f 5868 (\267) h 5869 R 5870 5871 S 5872 34241 -3895 M 5873 /Symbol F 975 o f 5874 (\267) h 5875 R 5876 5877 S 5878 35533 -3895 M 5879 /Symbol F 975 o f 5880 (\267) h 5881 R 5882 5883 S 5884 37024 -3895 M 5885 /Symbol F 975 o f 5886 (\267) h 5887 R 5888 5889 S 5890 26789 -5036 M 5891 /Symbol F 973 o f 5892 (\267) h 5893 R 5894 5895 S 5896 28281 -5036 M 5897 /Symbol F 973 o f 5898 (\267) h 5899 R 5900 5901 S 5902 29672 -5036 M 5903 /Symbol F 973 o f 5904 (\267) h 5905 R 5906 5907 S 5908 31162 -5036 M 5909 /Symbol F 973 o f 5910 (\267) h 5911 R 5912 5913 S 5914 32652 -5036 M 5915 /Symbol F 975 o f 5916 (\267) h 5917 R 5918 5919 S 5920 34241 -5036 M 5921 /Symbol F 975 o f 5922 (\267) h 5923 R 5924 5925 S 5926 35533 -5036 M 5927 /Symbol F 975 o f 5928 (\267) h 5929 R 5930 5931 S 5932 37024 -5036 M 5933 /Symbol F 975 o f 5934 (\267) h 5935 R 5936 5937 S 5938 26789 -6178 M 5939 /Symbol F 973 o f 5940 (\267) h 5941 R 5942 5943 S 5944 28281 -6178 M 5945 /Symbol F 973 o f 5946 (\267) h 5947 R 5948 5949 S 5950 29672 -6178 M 5951 /Symbol F 973 o f 5952 (\267) h 5953 R 5954 5955 S 5956 31162 -6178 M 5957 /Symbol F 973 o f 5958 (\267) h 5959 R 5960 5961 S 5962 32652 -6178 M 5963 /Symbol F 975 o f 5964 (\267) h 5965 R 5966 5967 S 5968 34241 -6178 M 5969 /Symbol F 975 o f 5970 (\267) h 5971 R 5972 5973 S 5974 35533 -6178 M 5975 /Symbol F 975 o f 5976 (\267) h 5977 R 5978 5979 S 5980 37024 -6178 M 5981 /Symbol F 975 o f 5982 (\267) h 5983 R 5984 5985 S 5986 26789 -7483 M 5987 /Symbol F 973 o f 5988 (\267) h 5989 R 5990 5991 S 5992 28281 -7483 M 5993 /Symbol F 973 o f 5994 (\267) h 5995 R 5996 5997 S 5998 29672 -7483 M 5999 /Symbol F 973 o f 6000 (\267) h 6001 R 6002 6003 S 6004 31162 -7483 M 6005 /Symbol F 973 o f 6006 (\267) h 6007 R 6008 6009 S 6010 32652 -7483 M 6011 /Symbol F 975 o f 6012 (\267) h 6013 R 6014 6015 S 6016 34241 -7483 M 6017 /Symbol F 975 o f 6018 (\267) h 6019 R 6020 6021 S 6022 35533 -7483 M 6023 /Symbol F 975 o f 6024 (\267) h 6025 R 6026 6027 S 6028 37024 -7483 M 6029 /Symbol F 975 o f 6030 (\267) h 6031 R 6032 6033 S 6034 26789 -8703 M 6035 /Symbol F 973 o f 6036 (\267) h 6037 R 6038 6039 S 6040 28281 -8703 M 6041 /Symbol F 973 o f 6042 (\267) h 6043 R 6044 6045 S 6046 29672 -8703 M 6047 /Symbol F 973 o f 6048 (\267) h 6049 R 6050 6051 S 6052 31162 -8703 M 6053 /Symbol F 973 o f 6054 (\267) h 6055 R 6056 6057 S 6058 32652 -8703 M 6059 /Symbol F 975 o f 6060 (\267) h 6061 R 6062 6063 S 6064 34241 -8703 M 6065 /Symbol F 975 o f 6066 (\267) h 6067 R 6068 6069 S 6070 35632 -8624 M 6071 /Symbol F 975 o f 6072 (\267) h 6073 R 6074 6075 S 6076 37024 -8703 M 6077 /Symbol F 975 o f 6078 (\267) h 6079 R 6080 6081 S 6082 26789 -9845 M 6083 /Symbol F 973 o f 6084 (\267) h 6085 R 6086 6087 S 6088 28281 -9845 M 6089 /Symbol F 973 o f 6090 (\267) h 6091 R 6092 6093 S 6094 29672 -9845 M 6095 /Symbol F 973 o f 6096 (\267) h 6097 R 6098 6099 S 6100 31162 -9845 M 6101 /Symbol F 973 o f 6102 (\267) h 6103 R 6104 6105 S 6106 32652 -9845 M 6107 /Symbol F 975 o f 6108 (\267) h 6109 R 6110 6111 S 6112 34241 -9845 M 6113 /Symbol F 975 o f 6114 (\267) h 6115 R 6116 6117 S 6118 35533 -9845 M 6119 /Symbol F 975 o f 6120 (\267) h 6121 R 6122 6123 S 6124 37024 -9845 M 6125 /Symbol F 975 o f 6126 (\267) h 6127 R 6128 6129 S 6130 26789 -11069 M 6131 /Symbol F 973 o f 6132 (\267) h 6133 R 6134 6135 S 6136 28281 -11069 M 6137 /Symbol F 973 o f 6138 (\267) h 6139 R 6140 6141 S 6142 29672 -11069 M 6143 /Symbol F 973 o f 6144 (\267) h 6145 R 6146 6147 S 6148 31162 -11069 M 6149 /Symbol F 973 o f 6150 (\267) h 6151 R 6152 6153 S 6154 32652 -11069 M 6155 /Symbol F 975 o f 6156 (\267) h 6157 R 6158 6159 S 6160 34241 -11069 M 6161 /Symbol F 975 o f 6162 (\267) h 6163 R 6164 6165 S 6166 35533 -11069 M 6167 /Symbol F 975 o f 6168 (\267) h 6169 R 6170 6171 S 6172 37024 -11069 M 6173 /Symbol F 975 o f 6174 (\267) h 6175 R 6176 6177 S 6178 9641 -7946 3957 3243 @ 6179 S 6180 50 w 6181 0 c 6182 0 j 6183 2 i 6184 0.00 G k 6185 R 6186 R 6187 6188 S 6189 9668 -5108 465 380 @ 6190 S 6191 0.00 G E 6192 R 6193 S 6194 50 w 6195 0 c 6196 0 j 6197 2 i 6198 0.00 G k 6199 R 6200 R 6201 6202 S 6203 8783 -14166 M 6204 /Times-Roman-ISOLatin1 F 1000 o f 6205 (Differential DC encoding) h 6206 ( ) h 6207 (Zig-zag sequence) h 6208 R 6209 6210 S 6211 9891 -6682 M 6212 /Times-Roman-ISOLatin1 F 973 o f 6213 (block) h 6214 n 0.801 o f 6215 0.0 -349.0 m 6216 (i\2551) h 6217 0 349.0 m 6218 R 6219 6220 S 6221 13963 -6683 M 6222 /Times-Roman-ISOLatin1 F 973 o f 6223 (block) h 6224 n 0.801 o f 6225 0.0 -349.0 m 6226 (i) h 6227 0 349.0 m 6228 R 6229 6230 S 6231 7064 -6843 M 6232 /Times-Roman-ISOLatin1 F 974 o f 6233 (. . .) h 6234 R 6235 6236 S 6237 N 6238 28400.00 -2444.00 M 6239 27055.00 -3545.00 L 6240 27055.00 -4726.00 L 6241 29918.00 -2378.00 L 6242 31279.00 -2378.00 L 6243 27043.00 -5851.00 L 6244 27043.00 -7171.00 L 6245 32894.00 -2371.00 L 6246 34260.00 -2371.00 L 6247 27010.00 -8316.00 L 6248 27010.00 -9535.00 L 6249 35709.00 -2398.00 L 6250 37151.00 -2398.00 L 6251 26927.00 -10781.00 L 6252 28401.00 -10781.00 L 6253 37212.00 -3555.00 L 6254 37212.00 -4808.00 L 6255 29924.00 -10783.00 L 6256 31282.00 -10783.00 L 6257 37271.00 -5871.00 L 6258 37271.00 -7171.00 L 6259 32878.00 -10769.00 L 6260 34260.00 -10769.00 L 6261 37202.00 -8356.00 L 6262 37202.00 -9535.00 L 6263 35679.00 -10781.00 L 6264 37242.00 -10781.00 L 6265 S 6266 40 w 6267 0 c 6268 0 j 6269 2 i 6270 0.00 G k 6271 R 6272 R 6273 6274 S 6275 N 6276 34565.00 -9916.00 M 6277 35359.00 -9916.00 L 6278 35359.00 -10488.00 L 6279 S 6280 40 w 6281 0 c 6282 0 j 6283 2 i 6284 0.00 G k 6285 R 6286 R 6287 6288 S 6289 N 6290 28584.00 -2829.00 M 6291 29377.00 -2829.00 L 6292 29377.00 -3400.00 L 6293 S 6294 40 w 6295 0 c 6296 0 j 6297 2 i 6298 0.00 G k 6299 R 6300 R 6301 6302 S 6303 N 6304 36352.00 -9592.00 M 6305 36352.00 -10161.00 L 6306 37047.00 -10161.00 L 6307 S 6308 40 w 6309 0 c 6310 0 j 6311 2 i 6312 0.00 G k 6313 R 6314 R 6315 6316 S 6317 N 6318 27590.00 -2584.00 M 6319 27590.00 -3154.00 L 6320 28286.00 -3154.00 L 6321 S 6322 40 w 6323 0 c 6324 0 j 6325 2 i 6326 0.00 G k 6327 R 6328 R 6329 6330 S 6331 24000 -783 M 6332 /Times-Roman-ISOLatin1 F 973 o f 6333 (DC AC) h 6334 n 0.801 o f 6335 0.0 -349.0 m 6336 (01) h 6337 0 349.0 m 6338 R 6339 6340 S 6341 38456 -12854 M 6342 /Times-Roman-ISOLatin1 F 974 o f 6343 (AC) h 6344 n 0.800 o f 6345 0.0 -349.0 m 6346 (77) h 6347 0 349.0 m 6348 R 6349 6350 S 6351 N 6352 26839.00 -2400.00 M 6353 28111.00 -2400.00 L 6354 S 6355 0.00 G E 6356 R 6357 S 6358 75 w 6359 0 c 6360 0 j 6361 2 i 6362 0.00 G k 6363 R 6364 R 6365 S 6366 N 6367 27656.00 -2654.00 M 6368 28200.00 -2400.00 L 6369 27656.00 -2147.00 L 6370 S 6371 75 w 6372 0 c 6373 0 j 6374 2 i 6375 0.00 G k 6376 R 6377 R 6378 6379 S 6380 35577 -834 M 6381 /Times-Roman-ISOLatin1 F 974 o f 6382 ( AC) h 6383 n 0.800 o f 6384 0.0 -349.0 m 6385 (07) h 6386 0 349.0 m 6387 R 6388 6389 S 6390 N 6391 38222.00 -1303.00 M 6392 37504.00 -2055.00 L 6393 S 6394 75 w 6395 0 c 6396 0 j 6397 2 i 6398 0.00 G k 6399 R 6400 R 6401 S 6402 N 6403 37635.00 -1551.00 M 6404 37442.00 -2119.00 L 6405 38001.00 -1901.00 L 6406 S 6407 75 w 6408 0 c 6409 0 j 6410 2 i 6411 0.00 G k 6412 R 6413 R 6414 6415 S 6416 24060 -12907 M 6417 /Times-Roman-ISOLatin1 F 974 o f 6418 (AC) h 6419 n 0.800 o f 6420 0.0 -349.0 m 6421 (70) h 6422 0 349.0 m 6423 R 6424 6425 S 6426 N 6427 25766.00 -12186.00 M 6428 26645.00 -11189.00 L 6429 S 6430 75 w 6431 0 c 6432 0 j 6433 2 i 6434 0.00 G k 6435 R 6436 R 6437 S 6438 N 6439 26534.00 -11698.00 M 6440 26704.00 -11123.00 L 6441 26154.00 -11363.00 L 6442 S 6443 75 w 6444 0 c 6445 0 j 6446 2 i 6447 0.00 G k 6448 R 6449 R 6450 6451 S 6452 13603 -7946 3956 3243 @ 6453 S 6454 50 w 6455 0 c 6456 0 j 6457 2 i 6458 0.00 G k 6459 R 6460 R 6461 6462 S 6463 13630 -5108 463 380 @ 6464 S 6465 0.00 G E 6466 R 6467 S 6468 50 w 6469 0 c 6470 0 j 6471 2 i 6472 0.00 G k 6473 R 6474 R 6475 6476 S 6477 11935 -16293 M 6478 /Times-Roman-ISOLatin1 F 1000 o f 6479 (Figure 3. Preparation of Quantized Coefficients for Entropy Coding) h 6480 R 6481 6482 R 6483 6484 6485 R 6486 R 6487 6488 S 6489 30583 -75546 M 6490 /Times-Roman-ISOLatin1 F 1000 o f 6491 (5) h 6492 R 6493 6494 showpage 6495 $P e 6496 6497 %%Page: 6 6 6498 /$P a D 6499 g N 6500 0 79200 T 6501 S 6502 R 6503 S 6504 6320 -7197 T 6505 N 6506 0 G 6507 300 -1050 M 6508 /Times-Roman-ISOLatin1 $ 6509 /Times-Roman & P 6510 /Times-Roman-ISOLatin1 F 1000 o f 6511 246.1 0 32 (Finally, all of the quantized coefficients are ordered) W 6512 300 -2150 M 6513 194.4 0 32 (into the ) W 6514 194.4 0 32 (\026) W 6515 194.4 0 32 (zig\255zag) W 6516 194.4 0 32 (\027) W 6517 194.4 0 32 ( sequence, also shown in Figure 3. ) W 6518 300 -3250 M 6519 337.0 0 32 (This ordering helps to facilitate entropy coding by) W 6520 300 -4350 M 6521 339.4 0 32 (placing low\255frequency coefficients \(which are more) W 6522 300 -5450 M 6523 994.6 0 32 (likely to be nonzero\) before high\255frequency) W 6524 300 -6550 M 6525 (coefficients.) h 6526 300 -7650 M 6527 300 -8750 M 6528 /Times-Bold-ISOLatin1 $ 6529 /Times-Bold & P 6530 /Times-Bold-ISOLatin1 F 1000 o f 6531 (4.4 Entropy Coding) h 6532 300 -10450 M 6533 /Times-Roman-ISOLatin1 F 1000 o f 6534 537.0 0 32 (The final DCT\255based encoder processing step is) W 6535 300 -11550 M 6536 680.2 0 32 (entropy coding. This step achieves additional) W 6537 300 -12650 M 6538 45.8 0 32 (compression losslessly by encoding the quantized DCT) W 6539 300 -13750 M 6540 194.3 0 32 (coefficients more compactly based on their statistical) W 6541 300 -14850 M 6542 449.0 0 32 (characteristics. The JPEG proposal specifies two) W 6543 300 -15950 M 6544 321.3 0 32 (entropy coding methods \255 Huffman coding [8] and) W 6545 300 -17050 M 6546 87.3 0 32 (arithmetic coding [15]. The Baseline sequential codec) W 6547 300 -18150 M 6548 206.0 0 32 (uses Huffman coding, but codecs with both methods) W 6549 300 -19250 M 6550 (are specified for all modes of operation.) h 6551 300 -20350 M 6552 300 -21450 M 6553 311.6 0 32 (It is useful to consider entropy coding as a 2\255step) W 6554 300 -22550 M 6555 12.6 0 32 (process. The first step converts the zig\255zag sequence of) W 6556 300 -23650 M 6557 65.0 0 32 (quantized coefficients into an intermediate sequence of) W 6558 300 -24750 M 6559 166.3 0 32 (symbols. The second step converts the symbols to a) W 6560 300 -25850 M 6561 360.9 0 32 (data stream in which the symbols no longer have) W 6562 300 -26950 M 6563 467.5 0 32 (externally identifiable boundaries. The form and) W 6564 300 -28050 M 6565 90.9 0 32 (definition of the intermediate symbols is dependent on) W 6566 300 -29150 M 6567 34.6 0 32 (both the DCT\255based mode of operation and the entropy) W 6568 300 -30250 M 6569 (coding method.) h 6570 300 -31350 M 6571 300 -32450 M 6572 340.3 0 32 (Huffman coding requires that one or more sets of) W 6573 300 -33550 M 6574 198.4 0 32 (Huffman code tables be specified by the application. ) W 6575 300 -34650 M 6576 46.4 0 32 (The same tables used to compress an image are needed) W 6577 300 -35750 M 6578 156.3 0 32 (to decompress it. Huffman tables may be predefined) W 6579 300 -36850 M 6580 24.1 0 32 (and used within an application as defaults, or computed) W 6581 300 -37950 M 6582 821.1 0 32 (specifically for a given image in an initial) W 6583 300 -39050 M 6584 272.7 0 32 (statistics\255gathering pass prior to compression. Such) W 6585 300 -40150 M 6586 118.0 0 32 (choices are the business of the applications which use) W 6587 300 -41250 M 6588 601.5 0 32 (JPEG; the JPEG proposal specifies no required) W 6589 300 -42350 M 6590 333.3 0 32 (Huffman tables. Huffman coding for the Baseline) W 6591 300 -43450 M 6592 (sequential encoder is described in detail in section 7.) h 6593 300 -44550 M 6594 300 -45650 M 6595 254.3 0 32 (By contrast, the particular arithmetic coding method) W 6596 300 -46750 M 6597 40.0 0 32 (specified in the JPEG proposal [2] requires no tables to) W 6598 300 -47850 M 6599 169.3 0 32 (be externally input, because it is able to adapt to the) W 6600 300 -48950 M 6601 182.0 0 32 (image statistics as it encodes the image. \(If desired,) W 6602 300 -50050 M 6603 83.0 0 32 (statistical conditioning tables can be used as inputs for) W 6604 300 -51150 M 6605 368.7 0 32 (slightly better efficiency, but this is not required.\) ) W 6606 300 -52250 M 6607 827.6 0 32 (Arithmetic coding has produced 5\25510% better) W 6608 300 -53350 M 6609 289.6 0 32 (compression than Huffman for many of the images) W 6610 300 -54450 M 6611 7.0 0 32 (which JPEG members have tested. However, some feel) W 6612 300 -55550 M 6613 222.1 0 32 (it is more complex than Huffman coding for certain) W 6614 300 -56650 M 6615 749.5 0 32 (implementations, for example, the highest\255speed) W 6616 300 -57750 M 6617 687.0 0 32 (hardware implementations. \(Throughout JPEG's) W 6618 300 -58850 M 6619 72.6 0 32 (history, ) W 6620 72.6 0 32 (\026) W 6621 72.6 0 32 (complexity) W 6622 72.6 0 32 (\027) W 6623 72.6 0 32 ( has proved to be most elusive as) W 6624 300 -59950 M 6625 (a practical metric for comparing compression methods.\)) h 6626 300 -61050 M 6627 300 -62150 M 6628 83.4 0 32 (If the only difference between two JPEG codecs is the) W 6629 300 -63250 M 6630 39.4 0 32 (entropy coding method, transcoding between the two is) W 6631 -6320 7197 T 6632 R 6633 6634 S 6635 31919 -7197 T 6636 N 6637 0 G 6638 300 -1050 M 6639 /Times-Roman-ISOLatin1 F 1000 o f 6640 106.6 0 32 (possible by simply entropy decoding with one method) W 6641 300 -2150 M 6642 (and entropy recoding with the other.) h 6643 300 -3250 M 6644 300 -4350 M 6645 /Times-Bold-ISOLatin1 F 1000 o f 6646 (4.5 Compression and Picture Quality) h 6647 300 -6050 M 6648 /Times-Roman-ISOLatin1 F 1000 o f 6649 118.9 0 32 (For color images with moderately complex scenes, all) W 6650 300 -7150 M 6651 194.3 0 32 (DCT\255based modes of operation typically produce the) W 6652 300 -8250 M 6653 289.4 0 32 (following levels of picture quality for the indicated) W 6654 300 -9350 M 6655 441.0 0 32 (ranges of compression. These levels are only a) W 6656 300 -10450 M 6657 740.5 0 32 (guideline \255 quality and compression can vary) W 6658 300 -11550 M 6659 139.0 0 32 (significantly according to source image characteristics) W 6660 300 -12650 M 6661 156.3 0 32 (and scene content. \(The units ) W 6662 156.3 0 32 (\026) W 6663 156.3 0 32 (bits/pixel) W 6664 156.3 0 32 (\027) W 6665 156.3 0 32 ( here mean) W 6666 300 -13750 M 6667 262.1 0 32 (the total number of bits in the compressed image \255) W 6668 300 -14850 M 6669 19.6 0 32 (including the chrominance components \255 divided by the) W 6670 300 -15950 M 6671 (number of samples in the luminance component.\)) h 6672 300 -17050 M 6673 300 -18150 M 6674 /Symbol F 1000 o f 6675 (\267) h 6676 2100 -18150 M 6677 /Times-Roman-ISOLatin1 F 1000 o f 6678 505.8 0 32 (0.25\2550.5 bits/pixel: moderate to good quality,) W 6679 2100 -19250 M 6680 (sufficient for some applications;) h 6681 2100 -20350 M 6682 300 -21450 M 6683 /Symbol F 1000 o f 6684 (\267) h 6685 2100 -21450 M 6686 /Times-Roman-ISOLatin1 F 1000 o f 6687 370.5 0 32 (0.5\2550.75 bits/pixel: good to very good quality,) W 6688 2100 -22550 M 6689 (sufficient for many applications;) h 6690 2100 -23650 M 6691 300 -24750 M 6692 /Symbol F 1000 o f 6693 (\267) h 6694 2100 -24750 M 6695 /Times-Roman-ISOLatin1 F 1000 o f 6696 89.4 0 32 (0.75\2551/5 bits/pixel: excellent quality, sufficient for) W 6697 2100 -25850 M 6698 (most applications;) h 6699 2100 -26950 M 6700 300 -28050 M 6701 /Symbol F 1000 o f 6702 (\267) h 6703 2100 -28050 M 6704 /Times-Roman-ISOLatin1 F 1000 o f 6705 284.8 0 32 (1.5\2552.0 bits/pixel: usually indistinguishable from) W 6706 2100 -29150 M 6707 333.8 0 32 (the original, sufficient for the most demanding) W 6708 2100 -30250 M 6709 (applications.) h 6710 300 -31350 M 6711 300 -32450 M 6712 300 -33700 M 6713 /Times-Bold-ISOLatin1 F 1200 o f 6714 162.7 0 32 (5 Processing Steps for Predictive Lossless) W 6715 300 -35000 M 6716 (Coding) h 6717 300 -36750 M 6718 /Times-Roman-ISOLatin1 F 1000 o f 6719 239.4 0 32 (After its selection of a DCT\255based method in 1988,) W 6720 300 -37850 M 6721 99.0 0 32 (JPEG discovered that a DCT\255based lossless mode was) W 6722 300 -38950 M 6723 69.5 0 32 (difficult to define as a practical standard against which) W 6724 300 -40050 M 6725 761.2 0 32 (encoders and decoders could be independently) W 6726 300 -41150 M 6727 366.2 0 32 (implemented, without placing severe constraints on) W 6728 300 -42250 M 6729 (both encoder and decoder implementations.) h 6730 300 -43350 M 6731 300 -44450 M 6732 160.2 0 32 (JPEG, to meet its requirement for a lossless mode of) W 6733 300 -45550 M 6734 448.8 0 32 (operation, has chosen a simple predictive method) W 6735 300 -46650 M 6736 225.9 0 32 (which is wholly independent of the DCT processing) W 6737 300 -47750 M 6738 37.9 0 32 (described previously. Selection of this method was not) W 6739 300 -48850 M 6740 41.5 0 32 (the result of rigorous competitive evaluation as was the) W 6741 300 -49950 M 6742 184.8 0 32 (DCT\255based method. Nevertheless, the JPEG lossless) W 6743 300 -51050 M 6744 626.4 0 32 (method produces results which, in light of its) W 6745 300 -52150 M 6746 104.7 0 32 (simplicity, are surprisingly close to the state of the art) W 6747 300 -53250 M 6748 144.0 0 32 (for lossless continuous\255tone compression, as indicated) W 6749 300 -54350 M 6750 (by a recent technical report [5].) h 6751 300 -55450 M 6752 300 -56550 M 6753 465.0 0 32 (Figure 4 shows the main processing steps for a) W 6754 300 -57650 M 6755 282.2 0 32 (single\255component image. A predictor combines the) W 6756 300 -58750 M 6757 5.4 0 32 (values of up to three neighboring samples \(A, B, and C\)) W 6758 300 -59850 M 6759 166.5 0 32 (to form a prediction of the sample indicated by X in) W 6760 300 -60950 M 6761 147.9 0 32 (Figure 5. This prediction is then subtracted from the) W 6762 300 -62050 M 6763 31.1 0 32 (actual value of sample X, and the difference is encoded) W 6764 -31919 7197 T 6765 R 6766 6767 S 6768 30871 -75643 M 6769 /Times-Roman-ISOLatin1 F 1000 o f 6770 (6) h 6771 R 6772 6773 showpage 6774 $P e 6775 6776 %%Page: 7 7 6777 /$P a D 6778 g N 6779 0 79200 T 6780 S 6781 R 6782 S 6783 6300 -26613 T 6784 N 6785 0 G 6786 300 -1050 M 6787 /Times-Roman-ISOLatin1 $ 6788 /Times-Roman & P 6789 /Times-Roman-ISOLatin1 F 1000 o f 6790 221.9 0 32 (losslessly by either of the entropy coding methods \255) W 6791 300 -2150 M 6792 24.7 0 32 (Huffman or arithmetic. Any one of the eight predictors ) W 6793 300 -3250 M 6794 (listed in Table 1 \(under ) h 6795 (\026) h 6796 (selection\255value) h 6797 (\027) h 6798 (\) can be used.) h 6799 300 -4350 M 6800 300 -5450 M 6801 178.4 0 32 (Selections 1, 2, and 3 are one\255dimensional predictors) W 6802 300 -6550 M 6803 395.6 0 32 (and selections 4, 5, 6 and 7 are two\255dimensional) W 6804 300 -7650 M 6805 295.1 0 32 (predictors. Selection\255value 0 can only be used for) W 6806 300 -8750 M 6807 666.7 0 32 (differential coding in the hierarchical mode of) W 6808 300 -9850 M 6809 211.6 0 32 (operation. The entropy coding is nearly identical to) W 6810 300 -10950 M 6811 58.7 0 32 (that used for the DC coefficient as described in section) W 6812 300 -12050 M 6813 (7.1 \(for Huffman coding\).) h 6814 300 -13150 M 6815 300 -25655 M 6816 /Times-Roman-ISOLatin1 F 1000 o f 6817 3.4 0 32 (For the lossless mode of operation, two different codecs) W 6818 300 -26755 M 6819 225.9 0 32 (are specified \255 one for each entropy coding method. ) W 6820 300 -27855 M 6821 62.8 0 32 (The encoders can use any source image precision from) W 6822 300 -28955 M 6823 119.3 0 32 (2 to 16 bits/sample, and can use any of the predictors) W 6824 300 -30055 M 6825 222.3 0 32 (except selection\255value 0. The decoders must handle) W 6826 300 -31155 M 6827 67.9 0 32 (any of the sample precisions and any of the predictors. ) W 6828 300 -32255 M 6829 860.8 0 32 (Lossless codecs typically produce around 2:1) W 6830 300 -33355 M 6831 18.3 0 32 (compression for color images with moderately complex) W 6832 300 -34455 M 6833 (scenes.) h 6834 -6300 26613 T 6835 S 6836 N 6837 S 6838 6363 -51518 22914 11405 @ I N 6839 6363 -40113 T 6840 N 6841 S 6842 N 6843 8451.00 -362.00 M 6844 8451.00 -7298.00 L 6845 S 6846 50 w 6847 0 c 6848 0 j 6849 2 i 6850 0.00 G k 6851 R 6852 R 6853 6854 6855 S 6856 N 6857 6930.00 -1720.00 M 6858 15682.00 -1720.00 L 6859 S 6860 50 w 6861 0 c 6862 0 j 6863 2 i 6864 0.00 G k 6865 R 6866 R 6867 6868 S 6869 N 6870 6930.00 -3077.00 M 6871 15682.00 -3077.00 L 6872 S 6873 50 w 6874 0 c 6875 0 j 6876 2 i 6877 0.00 G k 6878 R 6879 R 6880 6881 S 6882 N 6883 6930.00 -364.00 M 6884 15682.00 -364.00 L 6885 S 6886 100 w 6887 0 c 6888 0 j 6889 2 i 6890 0.00 G k 6891 R 6892 R 6893 6894 S 6895 N 6896 6930.00 -5941.00 M 6897 15682.00 -5941.00 L 6898 S 6899 50 w 6900 0 c 6901 0 j 6902 2 i 6903 0.00 G k 6904 R 6905 R 6906 6907 S 6908 N 6909 10260.00 -362.00 M 6910 10260.00 -7298.00 L 6911 S 6912 50 w 6913 0 c 6914 0 j 6915 2 i 6916 0.00 G k 6917 R 6918 R 6919 6920 S 6921 N 6922 12069.00 -362.00 M 6923 12069.00 -7298.00 L 6924 S 6925 50 w 6926 0 c 6927 0 j 6928 2 i 6929 0.00 G k 6930 R 6931 R 6932 6933 S 6934 N 6935 13877.00 -362.00 M 6936 13877.00 -7298.00 L 6937 S 6938 50 w 6939 0 c 6940 0 j 6941 2 i 6942 0.00 G k 6943 R 6944 R 6945 6946 S 6947 N 6948 6930.00 -4585.00 M 6949 15682.00 -4585.00 L 6950 S 6951 50 w 6952 0 c 6953 0 j 6954 2 i 6955 0.00 G k 6956 R 6957 R 6958 6959 S 6960 N 6961 6930.00 -362.00 M 6962 6930.00 -7298.00 L 6963 S 6964 100 w 6965 0 c 6966 0 j 6967 2 i 6968 0.00 G k 6969 R 6970 R 6971 6972 S 6973 2274 -9820 M 6974 /Times-Roman-ISOLatin1 F 1000 o f 6975 (Figure 5. 3\255Sample Prediction Neighborhood) h 6976 R 6977 6978 S 6979 8921 -3989 M 6980 /Times-Roman-ISOLatin1 F 1000 o f 6981 (C B) h 6982 R 6983 6984 S 6985 8826 -6038 M 6986 /Times-Roman-ISOLatin1 F 1000 o f 6987 0.0 448.0 m 6988 (A X) h 6989 0 -448.0 m 6990 R 6991 6992 R 6993 6994 6995 R 6996 R 6997 6998 S 6999 31919 -25472 T 7000 N 7001 0 G 7002 300 -1050 M 7003 300 -17589 M 7004 300 -18839 M 7005 300 -20739 M 7006 /Times-Bold-ISOLatin1 $ 7007 /Times-Bold & P 7008 /Times-Bold-ISOLatin1 F 1200 o f 7009 (6 Multiple\255Component Images) h 7010 300 -22489 M 7011 /Times-Roman-ISOLatin1 F 1000 o f 7012 323.8 0 32 (The previous sections discussed the key processing) W 7013 300 -23589 M 7014 115.0 0 32 (steps of the DCT\255based and predictive lossless codecs) W 7015 300 -24689 M 7016 31.4 0 32 (for the case of single\255component source images. These) W 7017 300 -25789 M 7018 169.9 0 32 (steps accomplish the image data compression. But a) W 7019 300 -26889 M 7020 64.7 0 32 (good deal of the JPEG proposal is also concerned with) W 7021 300 -27989 M 7022 15.3 0 32 (the handling and control of color \(or other\) images with) W 7023 300 -29089 M 7024 460.0 0 32 (multiple components. JPEG's aim for a generic) W 7025 300 -30189 M 7026 871.8 0 32 (compression standard requires its proposal to) W 7027 300 -31289 M 7028 (accommodate a variety of source image formats.) h 7029 300 -32389 M 7030 300 -33489 M 7031 /Times-Bold-ISOLatin1 F 1000 o f 7032 (6.1 Source Image Formats) h 7033 300 -35189 M 7034 /Times-Roman-ISOLatin1 F 1000 o f 7035 95.4 0 32 (The source image model used in the JPEG proposal is) W 7036 300 -36289 M 7037 388.9 0 32 (an abstraction from a variety of image types and) W 7038 300 -37389 M 7039 138.6 0 32 (applications and consists of only what is necessary to) W 7040 300 -38489 M 7041 365.0 0 32 (compress and reconstruct digital image data. The) W 7042 300 -39589 M 7043 35.9 0 32 (reader should recognize that the JPEG compressed data) W 7044 300 -40689 M 7045 55.5 0 32 (format does not encode enough information to serve as) W 7046 300 -41789 M 7047 130.9 0 32 (a complete image representation. For example, JPEG) W 7048 300 -42889 M 7049 201.3 0 32 (does not specify or encode any information on pixel) W 7050 300 -43989 M 7051 694.3 0 32 (aspect ratio, color space, or image acquisition) W 7052 300 -45089 M 7053 (characteristics.) h 7054 -31919 25472 T 7055 S 7056 N 7057 S 7058 32030 -42311 22818 15439 @ I N 7059 32030 -26872 T 7060 N 7061 S 7062 3275 -15063 M 7063 /Times-Roman-ISOLatin1 F 1000 o f 7064 (Table 1. Predictors for Lossless Coding) h 7065 R 7066 7067 S 7068 3737 -1354 M 7069 /Times-Roman-ISOLatin1 F 1000 o f 7070 (selection\255) h 7071 R 7072 7073 S 7074 3737 -2313 M 7075 /Times-Roman-ISOLatin1 F 1000 o f 7076 (value) h 7077 R 7078 7079 S 7080 12462 -2313 M 7081 /Times-Roman-ISOLatin1 F 1000 o f 7082 (prediction) h 7083 R 7084 7085 S 7086 5271 -4038 M 7087 /Times-Roman-ISOLatin1 F 1000 o f 7088 (0) h 7089 R 7090 7091 S 7092 12654 -4038 M 7093 /Times-Roman-ISOLatin1 F 1000 o f 7094 (no prediction) h 7095 R 7096 7097 S 7098 5271 -5284 M 7099 /Times-Roman-ISOLatin1 F 1000 o f 7100 (1) h 7101 R 7102 7103 S 7104 5271 -6530 M 7105 /Times-Roman-ISOLatin1 F 1000 o f 7106 (2) h 7107 R 7108 7109 S 7110 5271 -7776 M 7111 /Times-Roman-ISOLatin1 F 1000 o f 7112 (3) h 7113 R 7114 7115 S 7116 5271 -9022 M 7117 /Times-Roman-ISOLatin1 F 1000 o f 7118 (4) h 7119 R 7120 7121 S 7122 5271 -10268 M 7123 /Times-Roman-ISOLatin1 F 1000 o f 7124 (5) h 7125 R 7126 7127 S 7128 5271 -11514 M 7129 /Times-Roman-ISOLatin1 F 1000 o f 7130 (6) h 7131 R 7132 7133 S 7134 5271 -12760 M 7135 /Times-Roman-ISOLatin1 F 1000 o f 7136 (7) h 7137 R 7138 7139 S 7140 12941 -5284 M 7141 /Times-Roman-ISOLatin1 F 1000 o f 7142 (A) h 7143 R 7144 7145 S 7146 12941 -6530 M 7147 /Times-Roman-ISOLatin1 F 1000 o f 7148 (B) h 7149 R 7150 7151 S 7152 12941 -7776 M 7153 /Times-Roman-ISOLatin1 F 1000 o f 7154 (C) h 7155 R 7156 7157 S 7158 12941 -9022 M 7159 /Times-Roman-ISOLatin1 F 1000 o f 7160 (A+B\255C) h 7161 R 7162 7163 S 7164 12941 -10268 M 7165 /Times-Roman-ISOLatin1 F 1000 o f 7166 (A+\(\(B\255C\)/2\)) h 7167 R 7168 7169 S 7170 12941 -11514 M 7171 /Times-Roman-ISOLatin1 F 1000 o f 7172 (B+\(\(A\255C\)/2\)) h 7173 R 7174 7175 S 7176 12941 -12760 M 7177 /Times-Roman-ISOLatin1 F 1000 o f 7178 (\(A+B\)/2) h 7179 R 7180 7181 S 7182 2980 -13017 16683 12878 @ 7183 S 7184 50 w 7185 0 c 7186 0 j 7187 2 i 7188 0.00 G k 7189 R 7190 R 7191 7192 S 7193 N 7194 3059.00 -2678.00 M 7195 19742.00 -2678.00 L 7196 S 7197 50 w 7198 0 c 7199 0 j 7200 2 i 7201 0.00 G k 7202 R 7203 R 7204 7205 R 7206 7207 7208 R 7209 R 7210 7211 S 7212 5321 -7623 T 7213 N 7214 S 7215 0 -18886 50333 18886 @ 7216 R 7217 0 G 7218 300 -1050 M 7219 300 -18265 M 7220 S 7221 0 -18886 50333 18886 @ 7222 R 7223 -5321 7623 T 7224 S 7225 N 7226 S 7227 6040 -24842 48895 15819 @ I N 7228 6040 -9023 T 7229 N 7230 S 7231 14805 -7446 6419 3372 @ 7232 S 7233 75 w 7234 0 c 7235 0 j 7236 2 i 7237 0.00 G k 7238 R 7239 R 7240 7241 7242 S 7243 24485 -7365 6419 3371 @ 7244 S 7245 75 w 7246 0 c 7247 0 j 7248 2 i 7249 0.00 G k 7250 R 7251 R 7252 7253 S 7254 6605 -7830 4592 4239 @ 7255 S 7256 75 w 7257 0 c 7258 0 j 7259 2 i 7260 0.00 G k 7261 R 7262 R 7263 7264 S 7265 N 7266 21194.00 -5693.00 M 7267 24379.00 -5693.00 L 7268 S 7269 75 w 7270 0 c 7271 0 j 7272 2 i 7273 0.00 G k 7274 R 7275 R 7276 S 7277 N 7278 23924.00 -5947.00 M 7279 24468.00 -5693.00 L 7280 23924.00 -5440.00 L 7281 S 7282 75 w 7283 0 c 7284 0 j 7285 2 i 7286 0.00 G k 7287 R 7288 R 7289 7290 S 7291 12919 -8253 19869 5301 @ 7292 S 7293 400 w 7294 0 c 7295 0 j 7296 0.875 G k 7297 R 7298 R 7299 7300 S 7301 16371 -6156 M 7302 /Times-Roman-ISOLatin1 F 1000 o f 7303 (Predictor) h 7304 R 7305 7306 S 7307 25955 -5348 M 7308 /Times-Roman-ISOLatin1 F 1000 o f 7309 (Entropy) h 7310 R 7311 7312 S 7313 25955 -6718 M 7314 /Times-Roman-ISOLatin1 F 1000 o f 7315 (Encoder) h 7316 R 7317 7318 S 7319 34036 -6700 9118 1720 @ 7320 S 7321 50 w 7322 0 c 7323 0 j 7324 2 i 7325 0.00 G k 7326 R 7327 R 7328 7329 S 7330 20155 -2341 M 7331 /Times-Roman-ISOLatin1 F 1000 o f 7332 (Lossless Encoder) h 7333 R 7334 7335 S 7336 N 7337 27860.00 -9526.00 M 7338 27860.00 -7553.00 L 7339 S 7340 50 w 7341 0 c 7342 0 j 7343 2 i 7344 0.00 G k 7345 R 7346 R 7347 S 7348 N 7349 28113.00 -8038.00 M 7350 27859.00 -7494.00 L 7351 27606.00 -8038.00 L 7352 S 7353 50 w 7354 0 c 7355 0 j 7356 2 i 7357 0.00 G k 7358 R 7359 R 7360 7361 S 7362 N 7363 11310.00 -5934.00 M 7364 14736.00 -5934.00 L 7365 S 7366 50 w 7367 0 c 7368 0 j 7369 2 i 7370 0.00 G k 7371 R 7372 R 7373 S 7374 N 7375 14252.00 -6188.00 M 7376 14795.00 -5934.00 L 7377 14252.00 -5681.00 L 7378 S 7379 50 w 7380 0 c 7381 0 j 7382 2 i 7383 0.00 G k 7384 R 7385 R 7386 7387 S 7388 N 7389 30770.00 -5853.00 M 7390 34015.00 -5853.00 L 7391 S 7392 50 w 7393 0 c 7394 0 j 7395 2 i 7396 0.00 G k 7397 R 7398 R 7399 S 7400 N 7401 33531.00 -6107.00 M 7402 34074.00 -5853.00 L 7403 33531.00 -5600.00 L 7404 S 7405 50 w 7406 0 c 7407 0 j 7408 2 i 7409 0.00 G k 7410 R 7411 R 7412 7413 S 7414 7346 -10432 M 7415 /Times-Roman-ISOLatin1 F 1000 o f 7416 ( Source ) h 7417 R 7418 7419 S 7420 6805 -11556 M 7421 /Times-Roman-ISOLatin1 F 1000 o f 7422 (Image Data) h 7423 R 7424 7425 S 7426 25926 -10814 M 7427 /Times-Roman-ISOLatin1 F 1000 o f 7428 ( Table) h 7429 R 7430 7431 S 7432 24948 -11967 M 7433 /Times-Roman-ISOLatin1 F 1000 o f 7434 ( Specifications) h 7435 R 7436 7437 S 7438 36573 -10348 M 7439 /Times-Roman-ISOLatin1 F 1000 o f 7440 (Compressed) h 7441 R 7442 7443 S 7444 36253 -11503 M 7445 /Times-Roman-ISOLatin1 F 1000 o f 7446 ( Image Data) h 7447 R 7448 7449 S 7450 15111 -15567 M 7451 /Times-Roman-ISOLatin1 F 1000 o f 7452 (Figure 4. Lossless Mode Encoder Processing Steps) h 7453 R 7454 7455 S 7456 24157 -12561 7441 2856 @ 7457 S 7458 50 w 7459 0 c 7460 0 j 7461 2 i 7462 0.00 G k 7463 R 7464 R 7465 7466 R 7467 7468 7469 R 7470 R 7471 7472 S 7473 30679 -76122 M 7474 /Times-Roman-ISOLatin1 F 1000 o f 7475 (7) h 7476 R 7477 7478 showpage 7479 $P e 7480 7481 %%Page: 8 8 7482 /$P a D 7483 g N 7484 0 79200 T 7485 S 7486 R 7487 S 7488 6314 -26079 T 7489 N 7490 0 G 7491 300 -1050 M 7492 /Times-Roman-ISOLatin1 $ 7493 /Times-Roman & P 7494 /Times-Roman-ISOLatin1 F 1000 o f 7495 129.3 0 32 (Figure 6 illustrates the JPEG source image model. A) W 7496 300 -2150 M 7497 733.9 0 32 (source image contains from 1 to 255 image) W 7498 300 -3250 M 7499 143.3 0 32 (components, sometimes called color or spectral bands) W 7500 300 -4350 M 7501 59.1 0 32 (or channels. Each component consists of a rectangular) W 7502 300 -5450 M 7503 369.4 0 32 (array of samples. A sample is defined to be an) W 7504 300 -6550 M 7505 121.1 0 32 (unsigned integer with precision P bits, with any value) W 7506 300 -7650 M 7507 110.9 0 32 (in the range [0, 2) W 7508 n 0.800 o f 7509 0.0 448.0 m 7510 110.9 0 32 (P) W 7511 0 -448.0 m 7512 n 1.250 o f 7513 110.9 0 32 (\2551]. All samples of all components) W 7514 300 -8750 M 7515 305.4 0 32 (within the same source image must have the same) W 7516 300 -9850 M 7517 113.6 0 32 (precision P. P can be 8 or 12 for DCT\255based codecs,) W 7518 300 -10950 M 7519 (and 2 to 16 for predictive codecs.) h 7520 300 -12050 M 7521 300 -13150 M 7522 35.8 0 32 (The ith component has sample dimensions x) W 7523 n 0.800 o f 7524 0.0 -358.0 m 7525 35.8 0 32 (i) W 7526 0 358.0 m 7527 n 1.250 o f 7528 35.8 0 32 ( by y) W 7529 n 0.800 o f 7530 0.0 -358.0 m 7531 35.8 0 32 (i) W 7532 0 358.0 m 7533 n 1.250 o f 7534 35.8 0 32 (. To) W 7535 300 -14250 M 7536 960.8 0 32 (accommodate formats in which some image) W 7537 300 -15350 M 7538 119.1 0 32 (components are sampled at different rates than others,) W 7539 300 -16450 M 7540 504.5 0 32 (components can have different dimensions. The) W 7541 300 -17550 M 7542 258.7 0 32 (dimensions must have a mutual integral relationship) W 7543 300 -18650 M 7544 392.4 0 32 (defined by H) W 7545 n 0.800 o f 7546 0.0 -358.0 m 7547 392.4 0 32 (i) W 7548 0 358.0 m 7549 n 1.250 o f 7550 392.4 0 32 ( and V) W 7551 n 0.800 o f 7552 0.0 -358.0 m 7553 392.4 0 32 (i) W 7554 0 358.0 m 7555 n 1.250 o f 7556 392.4 0 32 (, the relative horizontal and) W 7557 300 -19750 M 7558 134.9 0 32 (vertical sampling factors, which must be specified for) W 7559 300 -20850 M 7560 128.4 0 32 (each component. Overall image dimensions X and Y) W 7561 300 -21950 M 7562 533.9 0 32 (are defined as the maximum x) W 7563 n 0.800 o f 7564 0.0 -358.0 m 7565 533.9 0 32 (i) W 7566 0 358.0 m 7567 n 1.250 o f 7568 533.9 0 32 ( and y) W 7569 n 0.800 o f 7570 0.0 -358.0 m 7571 533.9 0 32 (i) W 7572 0 358.0 m 7573 n 1.250 o f 7574 533.9 0 32 ( for all) W 7575 300 -23050 M 7576 36.0 0 32 (components in the image, and can be any number up to) W 7577 300 -24150 M 7578 184.8 0 32 (2) W 7579 n 0.800 o f 7580 0.0 448.0 m 7581 184.8 0 32 (16) W 7582 0 -448.0 m 7583 n 1.250 o f 7584 184.8 0 32 (. H and V are allowed only the integer values 1) W 7585 300 -25250 M 7586 86.3 0 32 (through 4. The encoded parameters are X, Y, and H) W 7587 n 0.800 o f 7588 0.0 -358.0 m 7589 86.3 0 32 (i) W 7590 0 358.0 m 7591 n 1.250 o f 7592 86.3 0 32 (s) W 7593 300 -26350 M 7594 3.8 0 32 (and V) W 7595 n 0.800 o f 7596 0.0 -358.0 m 7597 3.8 0 32 (i) W 7598 0 358.0 m 7599 n 1.250 o f 7600 3.8 0 32 (s for each components. The decoder reconstructs) W 7601 300 -27450 M 7602 17.4 0 32 (the dimensions x) W 7603 n 0.800 o f 7604 0.0 -358.0 m 7605 17.4 0 32 (i) W 7606 0 358.0 m 7607 n 1.250 o f 7608 17.4 0 32 ( and y) W 7609 n 0.800 o f 7610 0.0 -358.0 m 7611 17.4 0 32 (i) W 7612 0 358.0 m 7613 n 1.250 o f 7614 17.4 0 32 ( for each component, according) W 7615 300 -28550 M 7616 (to the following relationship shown in Equation 5:) h 7617 300 -35499 M 7618 300 -36599 M 7619 /Times-Roman-ISOLatin1 F 1000 o f 7620 (where ) h 7621 /Symbol F 1000 o f 7622 (\351 \371) h 7623 /Times-Roman-ISOLatin1 F 1000 o f 7624 ( is the ceiling function.) h 7625 300 -37699 M 7626 300 -38799 M 7627 /Times-Bold-ISOLatin1 $ 7628 /Times-Bold & P 7629 /Times-Bold-ISOLatin1 F 1000 o f 7630 (6.2 Encoding Order and Interleaving) h 7631 300 -40499 M 7632 /Times-Roman-ISOLatin1 F 1000 o f 7633 157.3 0 32 (A practical image compression standard must address) W 7634 300 -41599 M 7635 188.0 0 32 (how systems will need to handle the data during the) W 7636 300 -42699 M 7637 111.0 0 32 (process of decompression. Many applications need to) W 7638 300 -43799 M 7639 749.5 0 32 (pipeline the process of displaying or printing) W 7640 300 -44899 M 7641 36.7 0 32 (multiple\255component images in parallel with the process) W 7642 -6314 26079 T 7643 S 7644 N 7645 S 7646 6616 -60828 22435 5849 @ I N 7647 6616 -54979 T 7648 N 7649 S 7650 3793 -2015 M 7651 /Dutch801-Italic-DECmath_Italic F 1000 o f 7652 (x) h 7653 R 7654 7655 7656 7657 S 7658 4326 -2266 M 7659 /Dutch801-Italic-DECmath_Italic F 1000 o f 7660 (i) h 7661 R 7662 7663 S 7664 5082 -1922 M 7665 /Times-Roman-ISOLatin1 F 1000 o f 7666 (=) h 7667 R 7668 7669 S 7670 6926 -1947 M 7671 /Dutch801-Roman-DECmath_Symbol F 1253 o f 7672 (d) h 7673 /Dutch801-Italic-DECmath_Italic F 1000 o f 7674 (X) h 7675 /Times-Roman-ISOLatin1 F 1200 o f 7676 ( ) h 7677 /Courier-ISOLatin1 $ 7678 /Courier & P 7679 /Courier-ISOLatin1 F 1200 o f 7680 ( ) h 7681 % /AvantGarde-Book-ISOLatin1 $ 7682 % /AvantGarde-Book & P 7683 % /AvantGarde-Book-ISOLatin1 F 1200 o f 7684 % ( ) h 7685 % /Courier-ISOLatin1 F 1200 o f 7686 ( ) h 7687 /Dutch801-Roman-DECmath_Symbol F 1200 o f 7688 (e) h 7689 R 7690 7691 S 7692 10345 -1067 M 7693 /Dutch801-Italic-DECmath_Italic F 1000 o f 7694 (H) h 7695 R 7696 7697 S 7698 11067 -1412 M 7699 /Dutch801-Italic-DECmath_Italic F 1000 o f 7700 (i) h 7701 R 7702 7703 S 7704 9790 -2540 M 7705 /Dutch801-Italic-DECmath_Italic F 1000 o f 7706 (H) h 7707 R 7708 7709 S 7710 N 7711 9502.00 -1510.00 M 7712 11557.00 -1510.00 L 7713 S 7714 49 w 7715 0 c 7716 0 j 7717 2 i 7718 0.00 G k 7719 R 7720 R 7721 7722 S 7723 12670 -2114 M 7724 /Times-Roman-ISOLatin1 F 1200 o f 7725 ( and) h 7726 n 0.833 o f 7727 ( ) h 7728 R 7729 7730 S 7731 3876 -4899 M 7732 /Dutch801-Italic-DECmath_Italic F 1000 o f 7733 (y) h 7734 R 7735 7736 7737 S 7738 4409 -5150 M 7739 /Dutch801-Italic-DECmath_Italic F 1000 o f 7740 (i) h 7741 R 7742 7743 S 7744 5165 -4806 M 7745 /Times-Roman-ISOLatin1 F 1000 o f 7746 (=) h 7747 R 7748 7749 S 7750 7584 -4899 M 7751 /Dutch801-Italic-DECmath_Italic F 1000 o f 7752 (Y) h 7753 R 7754 7755 S 7756 10363 -4046 M 7757 /Dutch801-Italic-DECmath_Italic F 1000 o f 7758 (V) h 7759 R 7760 7761 S 7762 10974 -4296 M 7763 /Dutch801-Italic-DECmath_Italic F 1000 o f 7764 (i) h 7765 R 7766 7767 S 7768 9807 -5424 M 7769 /Dutch801-Italic-DECmath_Italic F 1000 o f 7770 (V) h 7771 R 7772 7773 S 7774 10418 -5466 M 7775 /Dutch801-Italic-DECmath_Italic F 800 o f 7776 (m) h 7777 R 7778 7779 S 7780 12135 -4719 M 7781 /Dutch801-Roman-DECmath_Symbol F 1200 o f 7782 (e) h 7783 R 7784 7785 S 7786 11057 -5498 M 7787 /Dutch801-Italic-DECmath_Italic F 800 o f 7788 (ax) h 7789 R 7790 7791 S 7792 10610 -2588 M 7793 /Dutch801-Italic-DECmath_Italic F 800 o f 7794 (m) h 7795 R 7796 7797 S 7798 11249 -2620 M 7799 /Dutch801-Italic-DECmath_Italic F 800 o f 7800 (ax) h 7801 R 7802 7803 S 7804 N 7805 9885.00 -4388.00 M 7806 11940.00 -4388.00 L 7807 S 7808 49 w 7809 0 c 7810 0 j 7811 2 i 7812 0.00 G k 7813 R 7814 R 7815 7816 S 7817 7009 -4707 M 7818 /Dutch801-Roman-DECmath_Symbol F 1200 o f 7819 (d) h 7820 R 7821 7822 S 7823 8505 -4699 M 7824 /Dutch801-Roman-DECmath_Symbol F 1084 o f 7825 (\242) h 7826 R 7827 7828 S 7829 8410 -1822 M 7830 /Dutch801-Roman-DECmath_Symbol F 1084 o f 7831 (\242) h 7832 R 7833 7834 S 7835 21132 -5513 M 7836 /Times-Roman-ISOLatin1 F 1000 o f 7837 (\(5\)) h 7838 R 7839 7840 R 7841 7842 7843 R 7844 R 7845 7846 S 7847 31919 -26075 T 7848 N 7849 0 G 7850 300 -1050 M 7851 /Times-Roman-ISOLatin1 F 1000 o f 7852 305.0 0 32 (of decompression. For many systems, this is only) W 7853 300 -2150 M 7854 370.5 0 32 (feasible if the components are interleaved together) W 7855 300 -3250 M 7856 (within the compressed data stream.) h 7857 300 -4350 M 7858 300 -5450 M 7859 35.7 0 32 (To make the same interleaving machinery applicable to) W 7860 300 -6550 M 7861 439.7 0 32 (both DCT\255based and predictive codecs, the JPEG) W 7862 300 -7650 M 7863 25.1 0 32 (proposal has defined the concept of ) W 7864 25.1 0 32 (\026) W 7865 25.1 0 32 (data unit.) W 7866 25.1 0 32 (\027) W 7867 25.1 0 32 ( A data) W 7868 300 -8750 M 7869 83.2 0 32 (unit is a sample in predictive codecs and an 8x8 block) W 7870 300 -9850 M 7871 (of samples in DCT\255based codecs.) h 7872 300 -10950 M 7873 300 -12050 M 7874 40.2 0 32 (The order in which compressed data units are placed in) W 7875 300 -13150 M 7876 400.9 0 32 (the compressed data stream is a generalization of) W 7877 300 -14250 M 7878 274.3 0 32 (raster\255scan order. Generally, data units are ordered) W 7879 300 -15350 M 7880 231.2 0 32 (from left\255to\255right and top\255to\255bottom according to the) W 7881 300 -16450 M 7882 92.1 0 32 (orientation shown in Figure 6. \(It is the responsibility) W 7883 300 -17550 M 7884 21.7 0 32 (of applications to define which edges of a source image) W 7885 300 -18650 M 7886 36.0 0 32 (are top, bottom, left and right.\) If an image component) W 7887 300 -19750 M 7888 555.2 0 32 (is noninterleaved \(i.e., compressed without being) W 7889 300 -20850 M 7890 222.2 0 32 (interleaved with other components\), compressed data) W 7891 300 -21950 M 7892 250.1 0 32 (units are ordered in a pure raster scan as shown in) W 7893 300 -23050 M 7894 (Figure 7.) h 7895 300 -35752 M 7896 300 -36852 M 7897 /Times-Roman-ISOLatin1 F 1000 o f 7898 190.7 0 32 (When two or more components are interleaved, each) W 7899 300 -37952 M 7900 75.1 0 32 (component C) W 7901 n 0.800 o f 7902 0.0 -358.0 m 7903 75.1 0 32 (i) W 7904 0 358.0 m 7905 n 1.250 o f 7906 75.1 0 32 ( is partitioned into rectangular regions of) W 7907 300 -39052 M 7908 376.4 0 32 (H) W 7909 n 0.800 o f 7910 0.0 -358.0 m 7911 376.4 0 32 (i) W 7912 0 358.0 m 7913 n 1.250 o f 7914 376.4 0 32 ( by V) W 7915 n 0.800 o f 7916 0.0 -358.0 m 7917 376.4 0 32 (i) W 7918 0 358.0 m 7919 n 1.250 o f 7920 376.4 0 32 ( data units, as shown in the generalized) W 7921 300 -40152 M 7922 228.3 0 32 (example of Figure 8. Regions are ordered within a) W 7923 300 -41252 M 7924 288.4 0 32 (component from left\255to\255right and top\255to\255bottom, and) W 7925 300 -42352 M 7926 17.4 0 32 (within a region, data units are ordered from left\255to\255right) W 7927 300 -43452 M 7928 293.3 0 32 (and top\255to\255bottom. The JPEG proposal defines the) W 7929 300 -44552 M 7930 131.4 0 32 (term Minimum Coded Unit \(MCU\) to be the smallest) W 7931 -31919 26075 T 7932 S 7933 N 7934 S 7935 32126 -61077 22626 11602 @ I N 7936 32126 -49475 T 7937 N 7938 S 7939 N 7940 5326.00 -7291.00 M 7941 5326.00 -1714.00 L 7942 16831.00 -1714.00 L 7943 16831.00 -7204.00 L 7944 S 7945 100 w 7946 0 c 7947 0 j 7948 2 i 7949 0.00 G k 7950 R 7951 R 7952 7953 7954 7955 S 7956 N 7957 7068.00 -1801.00 M 7958 7068.00 -7291.00 L 7959 S 7960 15 w 7961 0 c 7962 0 j 7963 2 i 7964 0.00 G k 7965 R 7966 R 7967 7968 S 7969 N 7970 5413.00 -3369.00 M 7971 16744.00 -3369.00 L 7972 S 7973 15 w 7974 0 c 7975 0 j 7976 2 i 7977 0.00 G k 7978 R 7979 R 7980 7981 S 7982 N 7983 8725.00 -1801.00 M 7984 8725.00 -7291.00 L 7985 S 7986 15 w 7987 0 c 7988 0 j 7989 2 i 7990 0.00 G k 7991 R 7992 R 7993 7994 S 7995 N 7996 10294.00 -1801.00 M 7997 10294.00 -7291.00 L 7998 S 7999 15 w 8000 0 c 8001 0 j 8002 2 i 8003 0.00 G k 8004 R 8005 R 8006 8007 S 8008 N 8009 11950.00 -1801.00 M 8010 11950.00 -7291.00 L 8011 S 8012 15 w 8013 0 c 8014 0 j 8015 2 i 8016 0.00 G k 8017 R 8018 R 8019 8020 S 8021 N 8022 13606.00 -1801.00 M 8023 13606.00 -7291.00 L 8024 S 8025 15 w 8026 0 c 8027 0 j 8028 2 i 8029 0.00 G k 8030 R 8031 R 8032 8033 S 8034 N 8035 15262.00 -1801.00 M 8036 15262.00 -7291.00 L 8037 S 8038 15 w 8039 0 c 8040 0 j 8041 2 i 8042 0.00 G k 8043 R 8044 R 8045 8046 S 8047 N 8048 6023.00 -2761.00 M 8049 15841.00 -2761.00 L 8050 S 8051 0.00 G - + * E 8052 R 8053 S 8054 50 w 8055 0 c 8056 0 j 8057 2 i 8058 0.00 G k 8059 R 8060 R 8061 S 8062 N 8063 15357.00 -3015.00 M 8064 15900.00 -2761.00 L 8065 15357.00 -2508.00 L 8066 S 8067 50 w 8068 0 c 8069 0 j 8070 2 i 8071 0.00 G k 8072 R 8073 R 8074 8075 S 8076 N 8077 6023.00 -4329.00 M 8078 15841.00 -4329.00 L 8079 S 8080 0.00 G - + * E 8081 R 8082 S 8083 50 w 8084 0 c 8085 0 j 8086 2 i 8087 0.00 G k 8088 R 8089 R 8090 S 8091 N 8092 15357.00 -4583.00 M 8093 15900.00 -4329.00 L 8094 15357.00 -4076.00 L 8095 S 8096 50 w 8097 0 c 8098 0 j 8099 2 i 8100 0.00 G k 8101 R 8102 R 8103 8104 S 8105 N 8106 6023.00 -5897.00 M 8107 15912.00 -5897.00 L 8108 S 8109 20 w 8110 0 c 8111 0 j 8112 2 i 8113 0.00 G k 8114 R 8115 R 8116 S 8117 N 8118 15392.00 -6151.00 M 8119 15936.00 -5897.00 L 8120 15392.00 -5644.00 L 8121 S 8122 20 w 8123 0 c 8124 0 j 8125 2 i 8126 0.00 G k 8127 R 8128 R 8129 8130 S 8131 10885 -1242 M 8132 /Times-Roman-ISOLatin1 F 1000 o f 8133 (top) h 8134 R 8135 8136 S 8137 17405 -4502 M 8138 /Times-Roman-ISOLatin1 F 1000 o f 8139 (right) h 8140 R 8141 8142 S 8143 9927 -8623 M 8144 /Times-Roman-ISOLatin1 F 1000 o f 8145 (bottom) h 8146 R 8147 8148 S 8149 3407 -4598 M 8150 /Times-Roman-ISOLatin1 F 1000 o f 8151 (left) h 8152 R 8153 8154 S 8155 2930 -10983 M 8156 /Times-Roman-ISOLatin1 F 1000 o f 8157 (Figure 7. Noninterleaved Data Ordering) h 8158 R 8159 8160 S 8161 N 8162 5413.00 -5198.00 M 8163 16744.00 -5198.00 L 8164 S 8165 15 w 8166 0 c 8167 0 j 8168 2 i 8169 0.00 G k 8170 R 8171 R 8172 8173 S 8174 N 8175 5413.00 -6593.00 M 8176 16744.00 -6593.00 L 8177 S 8178 15 w 8179 0 c 8180 0 j 8181 2 i 8182 0.00 G k 8183 R 8184 R 8185 8186 S 8187 5962 -3048 M 8188 /Symbol F 1200 o f 8189 (\267) h 8190 R 8191 8192 S 8193 7792 -3048 M 8194 /Symbol F 1200 o f 8195 (\267) h 8196 R 8197 8198 S 8199 9449 -3048 M 8200 /Symbol F 1200 o f 8201 (\267) h 8202 R 8203 8204 S 8205 11017 -3048 M 8206 /Symbol F 1200 o f 8207 (\267) h 8208 R 8209 8210 S 8211 12499 -3048 M 8212 /Symbol F 1200 o f 8213 (\267) h 8214 R 8215 8216 S 8217 14329 -3048 M 8218 /Symbol F 1200 o f 8219 (\267) h 8220 R 8221 8222 S 8223 5962 -4617 M 8224 /Symbol F 1200 o f 8225 (\267) h 8226 R 8227 8228 S 8229 7792 -4617 M 8230 /Symbol F 1200 o f 8231 (\267) h 8232 R 8233 8234 S 8235 9449 -4617 M 8236 /Symbol F 1200 o f 8237 (\267) h 8238 R 8239 8240 S 8241 11017 -4617 M 8242 /Symbol F 1200 o f 8243 (\267) h 8244 R 8245 8246 S 8247 12499 -4617 M 8248 /Symbol F 1200 o f 8249 (\267) h 8250 R 8251 8252 S 8253 14329 -4617 M 8254 /Symbol F 1200 o f 8255 (\267) h 8256 R 8257 8258 S 8259 5962 -6185 M 8260 /Symbol F 1200 o f 8261 (\267) h 8262 R 8263 8264 S 8265 7792 -6185 M 8266 /Symbol F 1200 o f 8267 (\267) h 8268 R 8269 8270 S 8271 9449 -6185 M 8272 /Symbol F 1200 o f 8273 (\267) h 8274 R 8275 8276 S 8277 11017 -6185 M 8278 /Symbol F 1200 o f 8279 (\267) h 8280 R 8281 8282 S 8283 12499 -6185 M 8284 /Symbol F 1200 o f 8285 (\267) h 8286 R 8287 8288 S 8289 14329 -6185 M 8290 /Symbol F 1200 o f 8291 (\267) h 8292 R 8293 8294 S 8295 15724 -6185 M 8296 /Symbol F 1200 o f 8297 (\267) h 8298 R 8299 8300 S 8301 15637 -4617 M 8302 /Symbol F 1200 o f 8303 (\267) h 8304 R 8305 8306 S 8307 15810 -3048 M 8308 /Symbol F 1200 o f 8309 (\267) h 8310 R 8311 8312 S 8313 N 8314 15985.00 -2880.00 M 8315 6358.00 -4181.00 L 8316 S 8317 20 w 8318 0 c 8319 0 j 8320 2 i 8321 0.00 G k 8322 R 8323 R 8324 S 8325 N 8326 6839.00 -3860.00 M 8327 6334.00 -4184.00 L 8328 6907.00 -4362.00 L 8329 S 8330 20 w 8331 0 c 8332 0 j 8333 2 i 8334 0.00 G k 8335 R 8336 R 8337 8338 S 8339 N 8340 15985.00 -4361.00 M 8341 6358.00 -5663.00 L 8342 S 8343 20 w 8344 0 c 8345 0 j 8346 2 i 8347 0.00 G k 8348 R 8349 R 8350 S 8351 N 8352 6839.00 -5342.00 M 8353 6334.00 -5666.00 L 8354 6907.00 -5844.00 L 8355 S 8356 20 w 8357 0 c 8358 0 j 8359 2 i 8360 0.00 G k 8361 R 8362 R 8363 8364 S 8365 N 8366 15724.00 -6016.00 M 8367 7839.00 -7057.00 L 8368 S 8369 20 w 8370 0 c 8371 0 j 8372 2 i 8373 0.00 G k 8374 R 8375 R 8376 S 8377 N 8378 8321.00 -6738.00 M 8379 7815.00 -7060.00 L 8380 8388.00 -7240.00 L 8381 S 8382 20 w 8383 0 c 8384 0 j 8385 2 i 8386 0.00 G k 8387 R 8388 R 8389 8390 R 8391 8392 8393 R 8394 R 8395 8396 S 8397 6136 -6135 T 8398 N 8399 0 G 8400 300 -1050 M 8401 300 -19032 M 8402 -6136 6135 T 8403 S 8404 N 8405 S 8406 6375 -24121 48416 16586 @ I N 8407 6375 -7535 T 8408 N 8409 S 8410 9244 -9158 9699 8966 @ 8411 S 8412 100 w 8413 0 c 8414 0 j 8415 2 i 8416 0.00 G k 8417 R 8418 R 8419 8420 8421 S 8422 7415 -9798 9701 4928 @ 8423 S 8424 0.00 G - + * E 8425 R 8426 S 8427 100 w 8428 0 c 8429 0 j 8430 2 i 8431 0.00 G k 8432 R 8433 R 8434 8435 S 8436 27825 -11568 8505 8975 @ 8437 S 8438 0.00 G - + * E 8439 R 8440 S 8441 75 w 8442 0 c 8443 0 j 8444 2 i 8445 0.00 G k 8446 R 8447 R 8448 8449 S 8450 28301 -3210 M 8451 /Times-Roman-ISOLatin1 F 1000 o f 8452 (.) h 8453 R 8454 8455 S 8456 29302 -3210 M 8457 /Times-Roman-ISOLatin1 F 1000 o f 8458 (.) h 8459 R 8460 8461 S 8462 30374 -3210 M 8463 /Times-Roman-ISOLatin1 F 1000 o f 8464 (.) h 8465 R 8466 8467 S 8468 31445 -3210 M 8469 /Times-Roman-ISOLatin1 F 1000 o f 8470 (.) h 8471 R 8472 8473 S 8474 32517 -3210 M 8475 /Times-Roman-ISOLatin1 F 1000 o f 8476 (.) h 8477 R 8478 8479 S 8480 33518 -3210 M 8481 /Times-Roman-ISOLatin1 F 1000 o f 8482 (.) h 8483 R 8484 8485 S 8486 34591 -3210 M 8487 /Times-Roman-ISOLatin1 F 1000 o f 8488 (.) h 8489 R 8490 8491 S 8492 35735 -3210 M 8493 /Times-Roman-ISOLatin1 F 1000 o f 8494 (.) h 8495 R 8496 8497 S 8498 28301 -4190 M 8499 /Times-Roman-ISOLatin1 F 1000 o f 8500 (.) h 8501 R 8502 8503 S 8504 29302 -4190 M 8505 /Times-Roman-ISOLatin1 F 1000 o f 8506 (.) h 8507 R 8508 8509 S 8510 30374 -4190 M 8511 /Times-Roman-ISOLatin1 F 1000 o f 8512 (.) h 8513 R 8514 8515 S 8516 31445 -4190 M 8517 /Times-Roman-ISOLatin1 F 1000 o f 8518 (.) h 8519 R 8520 8521 S 8522 32517 -4190 M 8523 /Times-Roman-ISOLatin1 F 1000 o f 8524 (.) h 8525 R 8526 8527 S 8528 33518 -4190 M 8529 /Times-Roman-ISOLatin1 F 1000 o f 8530 (.) h 8531 R 8532 8533 S 8534 34591 -4190 M 8535 /Times-Roman-ISOLatin1 F 1000 o f 8536 (.) h 8537 R 8538 8539 S 8540 35735 -4190 M 8541 /Times-Roman-ISOLatin1 F 1000 o f 8542 (.) h 8543 R 8544 8545 S 8546 28230 -6603 M 8547 /Times-Roman-ISOLatin1 F 1000 o f 8548 (.) h 8549 R 8550 8551 S 8552 29302 -6603 M 8553 /Times-Roman-ISOLatin1 F 1000 o f 8554 (.) h 8555 R 8556 8557 S 8558 30374 -5473 M 8559 /Times-Roman-ISOLatin1 F 1000 o f 8560 (.) h 8561 R 8562 8563 S 8564 31445 -5473 M 8565 /Times-Roman-ISOLatin1 F 1000 o f 8566 (.) h 8567 R 8568 8569 S 8570 28230 -7584 M 8571 /Times-Roman-ISOLatin1 F 1000 o f 8572 (.) h 8573 R 8574 8575 S 8576 29302 -5473 M 8577 /Times-Roman-ISOLatin1 F 1000 o f 8578 (.) h 8579 R 8580 8581 S 8582 28230 -5473 M 8583 /Times-Roman-ISOLatin1 F 1000 o f 8584 (.) h 8585 R 8586 8587 S 8588 N 8589 33185.00 -2692.00 M 8590 33185.00 -11468.00 L 8591 S 8592 10 w 8593 0 c 8594 0 j 8595 2 i 8596 0.00 G k 8597 R 8598 R 8599 S 8600 N 8601 32932.00 -10937.00 M 8602 33185.00 -11481.00 L 8603 33439.00 -10937.00 L 8604 S 8605 10 w 8606 0 c 8607 0 j 8608 2 i 8609 0.00 G k 8610 R 8611 R 8612 S 8613 N 8614 33439.00 -3224.00 M 8615 33185.00 -2680.00 L 8616 32932.00 -3224.00 L 8617 S 8618 10 w 8619 0 c 8620 0 j 8621 2 i 8622 0.00 G k 8623 R 8624 R 8625 8626 S 8627 N 8628 27921.00 -9380.00 M 8629 36378.00 -9380.00 L 8630 S 8631 10 w 8632 0 c 8633 0 j 8634 2 i 8635 0.00 G k 8636 R 8637 R 8638 S 8639 N 8640 35847.00 -9634.00 M 8641 36391.00 -9380.00 L 8642 35847.00 -9127.00 L 8643 S 8644 10 w 8645 0 c 8646 0 j 8647 2 i 8648 0.00 G k 8649 R 8650 R 8651 S 8652 N 8653 28453.00 -9127.00 M 8654 27909.00 -9380.00 L 8655 28453.00 -9634.00 L 8656 S 8657 10 w 8658 0 c 8659 0 j 8660 2 i 8661 0.00 G k 8662 R 8663 R 8664 8665 S 8666 32614 -7043 1071 1132 @ 8667 S 8668 0.00 G - + * E 8669 R 8670 R 8671 8672 S 8673 29397 -9833 929 981 @ 8674 S 8675 0.00 G - + * E 8676 R 8677 R 8678 8679 S 8680 29540 -9442 M 8681 /Times-Roman-ISOLatin1 F 1000 o f 8682 (x) h 8683 0.0 -448.0 m 8684 (i) h 8685 0 448.0 m 8686 R 8687 8688 S 8689 32900 -6502 M 8690 /Times-Roman-ISOLatin1 F 1000 o f 8691 (y) h 8692 0.0 -448.0 m 8693 (i) h 8694 0 448.0 m 8695 R 8696 8697 S 8698 31685 -2094 M 8699 /Times-Roman-ISOLatin1 F 1000 o f 8700 (top) h 8701 R 8702 8703 S 8704 30970 -12654 M 8705 /Times-Roman-ISOLatin1 F 1000 o f 8706 (bottom) h 8707 R 8708 8709 S 8710 36830 -7675 M 8711 /Times-Roman-ISOLatin1 F 1000 o f 8712 (right) h 8713 R 8714 8715 S 8716 26252 -7752 M 8717 /Times-Roman-ISOLatin1 F 1000 o f 8718 (left) h 8719 R 8720 8721 S 8722 23751 -3752 M 8723 /Times-Roman-ISOLatin1 F 1000 o f 8724 (samples) h 8725 R 8726 8727 S 8728 37688 -3603 M 8729 /Times-Roman-ISOLatin1 F 1000 o f 8730 (line) h 8731 R 8732 8733 S 8734 N 8735 26793.00 -3738.00 M 8736 28252.00 -4159.00 L 8737 S 8738 50 w 8739 0 c 8740 0 j 8741 2 i 8742 0.00 G k 8743 R 8744 R 8745 S 8746 N 8747 27716.00 -4268.00 M 8748 28309.00 -4176.00 L 8749 27857.00 -3782.00 L 8750 S 8751 50 w 8752 0 c 8753 0 j 8754 2 i 8755 0.00 G k 8756 R 8757 R 8758 8759 S 8760 N 8761 26824.00 -3725.00 M 8762 28176.00 -5295.00 L 8763 S 8764 50 w 8765 0 c 8766 0 j 8767 2 i 8768 0.00 G k 8769 R 8770 R 8771 S 8772 N 8773 27668.00 -5093.00 M 8774 28215.00 -5340.00 L 8775 28052.00 -4762.00 L 8776 S 8777 50 w 8778 0 c 8779 0 j 8780 2 i 8781 0.00 G k 8782 R 8783 R 8784 8785 S 8786 N 8787 27538.00 -4289.00 M 8788 27538.00 -3950.00 27538.00 -3950.00 32076.00 -3950.00 C 8789 36615.00 -3950.00 36615.00 -3950.00 36615.00 -4289.00 C 8790 36615.00 -4629.00 36615.00 -4629.00 32076.00 -4629.00 C 8791 27538.00 -4629.00 27538.00 -4629.00 27538.00 -4289.00 C 8792 H 8793 S 8794 50 w 8795 0 c 8796 0 j 8797 2 i 8798 0.00 G k 8799 R 8800 R 8801 8802 S 8803 N 8804 37402.00 -3725.00 M 8805 36787.00 -4114.00 L 8806 S 8807 50 w 8808 0 c 8809 0 j 8810 2 i 8811 0.00 G k 8812 R 8813 R 8814 S 8815 N 8816 37061.00 -3641.00 M 8817 36737.00 -4146.00 L 8818 37332.00 -4070.00 L 8819 S 8820 50 w 8821 0 c 8822 0 j 8823 2 i 8824 0.00 G k 8825 R 8826 R 8827 8828 S 8829 6863 -13926 M 8830 /Times-Roman-ISOLatin1 F 1000 o f 8831 (\(a\) Source image with multiple components ) h 8832 R 8833 8834 S 8835 6402 -11015 5472 4631 @ 8836 S 8837 0.00 G - + * E 8838 R 8839 S 8840 100 w 8841 0 c 8842 0 j 8843 2 i 8844 0.00 G k 8845 R 8846 R 8847 8848 S 8849 6248 -6138 M 8850 /Times-Roman-ISOLatin1 F 1000 o f 8851 (.) h 8852 R 8853 8854 S 8855 7002 -5149 M 8856 /Times-Roman-ISOLatin1 F 1000 o f 8857 (.) h 8858 R 8859 8860 S 8861 6658 -5639 M 8862 /Times-Roman-ISOLatin1 F 1000 o f 8863 (.) h 8864 R 8865 8866 S 8867 28040 -1901 M 8868 /Times-Roman-ISOLatin1 F 1000 o f 8869 (C) h 8870 0.0 -448.0 m 8871 (i) h 8872 0 448.0 m 8873 R 8874 8875 S 8876 17439 -16309 M 8877 /Times-Roman-ISOLatin1 F 1000 o f 8878 (Figure 6. JPEG Source Image Model) h 8879 R 8880 8881 S 8882 11849 -11761 M 8883 /Times-Roman-ISOLatin1 F 1000 o f 8884 (C) h 8885 0.0 -448.0 m 8886 (1) h 8887 0 448.0 m 8888 R 8889 8890 S 8891 12308 -10629 M 8892 /Times-Roman-ISOLatin1 F 1000 o f 8893 (C) h 8894 0.0 -448.0 m 8895 (2) h 8896 0 448.0 m 8897 R 8898 8899 S 8900 17920 -10345 M 8901 /Times-Roman-ISOLatin1 F 1000 o f 8902 (C) h 8903 0.0 -448.0 m 8904 (Nf\2551) h 8905 0 448.0 m 8906 R 8907 8908 S 8909 6022 -11388 5476 4632 @ 8910 S 8911 0.00 G - + * E 8912 R 8913 S 8914 100 w 8915 0 c 8916 0 j 8917 2 i 8918 0.00 G k 8919 R 8920 R 8921 8922 S 8923 25372 -13926 M 8924 /Times-Roman-ISOLatin1 F 1000 o f 8925 ( \(b\) Characteristics of an image component) h 8926 R 8927 8928 S 8929 14239 -10788 M 8930 /Times-Bold-ISOLatin1 F 1000 o f 8931 (.) h 8932 R 8933 8934 S 8935 15931 -10565 M 8936 /Times-Bold-ISOLatin1 F 1000 o f 8937 (.) h 8938 R 8939 8940 S 8941 17424 -10188 M 8942 /Times-Bold-ISOLatin1 F 1000 o f 8943 (.) h 8944 R 8945 8946 S 8947 20205 -9004 M 8948 /Times-Roman-ISOLatin1 F 1000 o f 8949 (C) h 8950 0.0 -448.0 m 8951 (Nf) h 8952 0 448.0 m 8953 R 8954 8955 R 8956 8957 8958 R 8959 R 8960 8961 S 8962 30871 -76122 M 8963 /Times-Roman-ISOLatin1 F 1000 o f 8964 (8) h 8965 R 8966 8967 showpage 8968 $P e 8969 8970 %%Page: 9 9 8971 /$P a D 8972 g N 8973 0 79200 T 8974 S 8975 R 8976 S 8977 6317 -38015 T 8978 N 8979 0 G 8980 300 -1050 M 8981 /Times-Roman-ISOLatin1 $ 8982 /Times-Roman & P 8983 /Times-Roman-ISOLatin1 F 1000 o f 8984 371.4 0 32 (group of interleaved data units. For the example) W 8985 300 -2150 M 8986 10.8 0 32 (shown, MCU) W 8987 n 0.800 o f 8988 0.0 -358.0 m 8989 10.8 0 32 (1) W 8990 0 358.0 m 8991 n 1.250 o f 8992 10.8 0 32 ( consists of data units taken first from the) W 8993 300 -3250 M 8994 50.4 0 32 (top\255left\255most region of C) W 8995 n 0.800 o f 8996 0.0 -358.0 m 8997 50.4 0 32 (1) W 8998 0 358.0 m 8999 n 1.250 o f 9000 50.4 0 32 (, followed by data units from) W 9001 300 -4350 M 9002 218.7 0 32 (the same region of C) W 9003 n 0.800 o f 9004 0.0 -358.0 m 9005 218.7 0 32 (2) W 9006 0 358.0 m 9007 n 1.250 o f 9008 218.7 0 32 (, and likewise for C) W 9009 n 0.800 o f 9010 0.0 -358.0 m 9011 218.7 0 32 (3) W 9012 0 358.0 m 9013 n 1.250 o f 9014 218.7 0 32 ( and C) W 9015 n 0.800 o f 9016 0.0 -358.0 m 9017 218.7 0 32 (4) W 9018 0 358.0 m 9019 n 1.250 o f 9020 218.7 0 32 (. ) W 9021 300 -5450 M 9022 (MCU) h 9023 n 0.800 o f 9024 0.0 -358.0 m 9025 (2) h 9026 0 358.0 m 9027 n 1.250 o f 9028 ( continues the pattern as shown.) h 9029 300 -6550 M 9030 300 -7650 M 9031 0.1 0 32 (Thus, interleaved data is an ordered sequence of MCUs,) W 9032 300 -8750 M 9033 122.0 0 32 (and the number of data units contained in an MCU is) W 9034 300 -9850 M 9035 175.8 0 32 (determined by the number of components interleaved) W 9036 300 -10950 M 9037 309.3 0 32 (and their relative sampling factors. The maximum) W 9038 300 -12050 M 9039 166.6 0 32 (number of components which can be interleaved is 4) W 9040 300 -13150 M 9041 105.2 0 32 (and the maximum number of data units in an MCU is) W 9042 300 -14250 M 9043 271.4 0 32 (10. The latter restriction is expressed as shown in) W 9044 300 -15350 M 9045 650.4 0 32 (Equation 6, where the summation is over the) W 9046 300 -16450 M 9047 (interleaved components:) h 9048 300 -21960 M 9049 /Times-Roman-ISOLatin1 F 1000 o f 9050 86.6 0 32 (Because of this restriction, not every combination of 4) W 9051 300 -23060 M 9052 0.2 0 32 (components which can be represented in noninterleaved) W 9053 300 -24160 M 9054 170.4 0 32 (order within a JPEG\255compressed image is allowed to) W 9055 300 -25260 M 9056 312.3 0 32 (be interleaved. Also, note that the JPEG proposal) W 9057 300 -26360 M 9058 48.4 0 32 (allows some components to be interleaved and some to) W 9059 300 -27460 M 9060 (be noninterleaved within the same compressed image.) h 9061 300 -28560 M 9062 300 -29660 M 9063 300 -31360 M 9064 300 -33060 M 9065 -6317 38015 T 9066 S 9067 N 9068 S 9069 6715 -59225 22243 4410 @ I N 9070 6715 -54815 T 9071 N 9072 S 9073 6160 -1603 M 9074 /Symbol F 1200 o f 9075 (\345) h 9076 /Times-Roman-ISOLatin1 F 1000 o f 9077 ( H) h 9078 0.0 -448.0 m 9079 (i) h 9080 0 448.0 m 9081 ( \327 V) h 9082 0.0 -448.0 m 9083 (i) h 9084 0 448.0 m 9085 ( ) h 9086 /Symbol F 1000 o f 9087 (\243) h 9088 /Times-Roman-ISOLatin1 F 1000 o f 9089 ( 10) h 9090 R 9091 9092 9093 S 9094 6063 -2753 M 9095 /Times-Italic-ISOLatin1 $ 9096 /Times-Italic & P 9097 /Times-Italic-ISOLatin1 F 800 o f 9098 (all ) h 9099 /Times-Roman-ISOLatin1 F 800 o f 9100 (i in) h 9101 R 9102 9103 S 9104 6063 -3520 M 9105 /Times-Roman-ISOLatin1 F 800 o f 9106 (interleave) h 9107 R 9108 9109 S 9110 21020 -3233 M 9111 /Times-Roman-ISOLatin1 F 1000 o f 9112 (\(6\)) h 9113 R 9114 9115 R 9116 9117 9118 R 9119 R 9120 9121 S 9122 31919 -38038 T 9123 N 9124 0 G 9125 300 -1050 M 9126 /Times-Bold-ISOLatin1 $ 9127 /Times-Bold & P 9128 /Times-Bold-ISOLatin1 F 1000 o f 9129 (6.3 Multiple Tables) h 9130 300 -2750 M 9131 /Times-Roman-ISOLatin1 F 1000 o f 9132 564.3 0 32 (In addition to the interleaving control discussed) W 9133 300 -3850 M 9134 235.7 0 32 (previously, JPEG codecs must control application of) W 9135 300 -4950 M 9136 166.7 0 32 (the proper table data to the proper components. The) W 9137 300 -6050 M 9138 178.4 0 32 (same quantization table and the same entropy coding) W 9139 300 -7150 M 9140 288.8 0 32 (table \(or set of tables\) must be used to encode all) W 9141 300 -8250 M 9142 (samples within a component.) h 9143 300 -9350 M 9144 300 -10450 M 9145 76.4 0 32 (JPEG decoders can store up to 4 different quantization) W 9146 300 -11550 M 9147 212.9 0 32 (tables and up to 4 different \(sets of\) entropy coding) W 9148 300 -12650 M 9149 632.8 0 32 (tables simultaneously. \(The Baseline sequential) W 9150 300 -13750 M 9151 93.3 0 32 (decoder is the exception; it can only store up to 2 sets) W 9152 300 -14850 M 9153 427.0 0 32 (of entropy coding tables.\) This is necessary for) W 9154 300 -15950 M 9155 1458.0 0 32 (switching between different tables during) W 9156 300 -17050 M 9157 916.2 0 32 (decompression of a scan containing multiple) W 9158 300 -18150 M 9159 111.1 0 32 (\(interleaved\) components, in order to apply the proper) W 9160 300 -19250 M 9161 322.9 0 32 (table to the proper component. \(Tables cannot be) W 9162 300 -20350 M 9163 302.0 0 32 (loaded during decompression of a scan.\) Figure 9) W 9164 300 -21450 M 9165 406.8 0 32 (illustrates the table\255switching control that must be) W 9166 300 -22550 M 9167 610.3 0 32 (managed in conjunction with multiple\255component) W 9168 300 -23650 M 9169 17.3 0 32 (interleaving for the encoder side. \(This simplified view) W 9170 300 -24750 M 9171 110.7 0 32 (does not distinguish between quantization and entropy) W 9172 300 -25850 M 9173 (coding tables.\)) h 9174 -31919 38038 T 9175 R 9176 9177 S 9178 6136 -5992 T 9179 N 9180 0 G 9181 300 -1050 M 9182 300 -31016 M 9183 -6136 5992 T 9184 S 9185 N 9186 S 9187 6423 -35962 48128 28570 @ I N 9188 6423 -7392 T 9189 N 9190 S 9191 N 9192 3368.00 -10873.00 M 9193 3368.00 -3107.00 L 9194 14202.00 -3107.00 L 9195 14202.00 -10873.00 L 9196 S 9197 100 w 9198 0 c 9199 0 j 9200 2 i 9201 0.00 G k 9202 R 9203 R 9204 9205 9206 S 9207 N 9208 3464.00 -6653.00 M 9209 14297.00 -6653.00 L 9210 S 9211 15 w 9212 0 c 9213 0 j 9214 2 i 9215 0.00 G k 9216 R 9217 R 9218 9219 S 9220 N 9221 7012.00 -3286.00 M 9222 7012.00 -10693.00 L 9223 S 9224 15 w 9225 0 c 9226 0 j 9227 2 i 9228 0.00 G k 9229 R 9230 R 9231 9232 S 9233 N 9234 10656.00 -3286.00 M 9235 10656.00 -10693.00 L 9236 S 9237 15 w 9238 0 c 9239 0 j 9240 2 i 9241 0.00 G k 9242 R 9243 R 9244 9245 S 9246 N 9247 14203.00 -3202.00 M 9248 14203.00 -6750.00 L 9249 S 9250 100 w 9251 0 c 9252 0 j 9253 2 i 9254 0.00 G k 9255 R 9256 R 9257 9258 S 9259 N 9260 3464.00 -10297.00 M 9261 14297.00 -10297.00 L 9262 S 9263 15 w 9264 0 c 9265 0 j 9266 2 i 9267 0.00 G k 9268 R 9269 R 9270 9271 S 9272 3848 -2854 M 9273 /Times-Roman-ISOLatin1 F 1000 o f 9274 ( 0 1 2 3 4 5) h 9275 R 9276 9277 S 9278 2410 -4196 M 9279 /Times-Roman-ISOLatin1 F 1000 o f 9280 (0) h 9281 R 9282 9283 S 9284 2410 -6112 M 9285 /Times-Roman-ISOLatin1 F 1000 o f 9286 (1) h 9287 R 9288 9289 S 9290 2410 -8028 M 9291 /Times-Roman-ISOLatin1 F 1000 o f 9292 (2) h 9293 R 9294 9295 S 9296 2410 -9944 M 9297 /Times-Roman-ISOLatin1 F 1000 o f 9298 (3) h 9299 R 9300 9301 S 9302 N 9303 16790.00 -7229.00 M 9304 16790.00 -3106.00 L 9305 27528.00 -3106.00 L 9306 27528.00 -7133.00 L 9307 S 9308 100 w 9309 0 c 9310 0 j 9311 2 i 9312 0.00 G k 9313 R 9314 R 9315 9316 S 9317 17460 -2758 M 9318 /Times-Roman-ISOLatin1 F 1000 o f 9319 (0 1 2 3 4 5) h 9320 R 9321 9322 S 9323 15927 -4196 M 9324 /Times-Roman-ISOLatin1 F 1000 o f 9325 (0) h 9326 R 9327 9328 S 9329 15927 -6112 M 9330 /Times-Roman-ISOLatin1 F 1000 o f 9331 (1) h 9332 R 9333 9334 S 9335 N 9336 20336.00 -3202.00 M 9337 20336.00 -7133.00 L 9338 S 9339 15 w 9340 0 c 9341 0 j 9342 2 i 9343 0.00 G k 9344 R 9345 R 9346 9347 S 9348 N 9349 23979.00 -3202.00 M 9350 23979.00 -7133.00 L 9351 S 9352 15 w 9353 0 c 9354 0 j 9355 2 i 9356 0.00 G k 9357 R 9358 R 9359 9360 S 9361 N 9362 16885.00 -6653.00 M 9363 27527.00 -6653.00 L 9364 S 9365 15 w 9366 0 c 9367 0 j 9368 2 i 9369 0.00 G k 9370 R 9371 R 9372 9373 S 9374 N 9375 30883.00 -10988.00 M 9376 30883.00 -3202.00 L 9377 36252.00 -3202.00 L 9378 36252.00 -11064.00 L 9379 S 9380 100 w 9381 0 c 9382 0 j 9383 2 i 9384 0.00 G k 9385 R 9386 R 9387 9388 S 9389 N 9390 30979.00 -6750.00 M 9391 36348.00 -6750.00 L 9392 S 9393 25 w 9394 0 c 9395 0 j 9396 2 i 9397 0.00 G k 9398 R 9399 R 9400 9401 S 9402 N 9403 32704.00 -3279.00 M 9404 32704.00 -10910.00 L 9405 S 9406 25 w 9407 0 c 9408 0 j 9409 2 i 9410 0.00 G k 9411 R 9412 R 9413 9414 S 9415 N 9416 30979.00 -10394.00 M 9417 36348.00 -10394.00 L 9418 S 9419 25 w 9420 0 c 9421 0 j 9422 2 i 9423 0.00 G k 9424 R 9425 R 9426 9427 S 9428 N 9429 34430.00 -3279.00 M 9430 34430.00 -10910.00 L 9431 S 9432 25 w 9433 0 c 9434 0 j 9435 2 i 9436 0.00 G k 9437 R 9438 R 9439 9440 S 9441 31458 -2854 M 9442 /Times-Roman-ISOLatin1 F 1000 o f 9443 ( 0 1 2) h 9444 R 9445 9446 S 9447 29924 -4196 M 9448 /Times-Roman-ISOLatin1 F 1000 o f 9449 (0) h 9450 R 9451 9452 S 9453 29924 -6113 M 9454 /Times-Roman-ISOLatin1 F 1000 o f 9455 (1) h 9456 R 9457 9458 S 9459 29924 -8028 M 9460 /Times-Roman-ISOLatin1 F 1000 o f 9461 (2) h 9462 R 9463 9464 S 9465 29924 -9944 M 9466 /Times-Roman-ISOLatin1 F 1000 o f 9467 (3) h 9468 R 9469 9470 S 9471 N 9472 40184.00 -7325.00 M 9473 40184.00 -3202.00 L 9474 45648.00 -3202.00 L 9475 45648.00 -7325.00 L 9476 S 9477 100 w 9478 0 c 9479 0 j 9480 2 i 9481 0.00 G k 9482 R 9483 R 9484 9485 S 9486 N 9487 40088.00 -4928.00 M 9488 45552.00 -4928.00 L 9489 S 9490 15 w 9491 0 c 9492 0 j 9493 2 i 9494 0.00 G k 9495 R 9496 R 9497 9498 S 9499 N 9500 42004.00 -3298.00 M 9501 42004.00 -7133.00 L 9502 S 9503 15 w 9504 0 c 9505 0 j 9506 2 i 9507 0.00 G k 9508 R 9509 R 9510 9511 S 9512 N 9513 43825.00 -3298.00 M 9514 43825.00 -7133.00 L 9515 S 9516 15 w 9517 0 c 9518 0 j 9519 2 i 9520 0.00 G k 9521 R 9522 R 9523 9524 S 9525 N 9526 40088.00 -6750.00 M 9527 45552.00 -6750.00 L 9528 S 9529 15 w 9530 0 c 9531 0 j 9532 2 i 9533 0.00 G k 9534 R 9535 R 9536 9537 S 9538 40854 -2854 M 9539 /Times-Roman-ISOLatin1 F 1000 o f 9540 (0 1 2) h 9541 R 9542 9543 S 9544 39320 -4484 M 9545 /Times-Roman-ISOLatin1 F 1000 o f 9546 (0) h 9547 R 9548 9549 S 9550 39320 -6400 M 9551 /Times-Roman-ISOLatin1 F 1000 o f 9552 (1) h 9553 R 9554 9555 S 9556 4482 -768 M 9557 /Times-Roman-ISOLatin1 F 1000 o f 9558 (Cs) h 9559 0.0 -448.0 m 9560 (1) h 9561 0 448.0 m 9562 (: H) h 9563 0.0 -448.0 m 9564 (1) h 9565 0 448.0 m 9566 (=2, V) h 9567 0.0 -448.0 m 9568 (1) h 9569 0 448.0 m 9570 (=2) h 9571 R 9572 9573 S 9574 17724 -863 M 9575 /Times-Roman-ISOLatin1 F 1000 o f 9576 (Cs) h 9577 0.0 -448.0 m 9578 (2) h 9579 0 448.0 m 9580 (: H) h 9581 0.0 -448.0 m 9582 (2) h 9583 0 448.0 m 9584 (=2, V) h 9585 0.0 -448.0 m 9586 (2) h 9587 0 448.0 m 9588 (=1) h 9589 R 9590 9591 S 9592 29128 -959 M 9593 /Times-Roman-ISOLatin1 F 1000 o f 9594 (Cs) h 9595 0.0 -448.0 m 9596 (3) h 9597 0 448.0 m 9598 (: H) h 9599 0.0 -448.0 m 9600 (3) h 9601 0 448.0 m 9602 (=1, V) h 9603 0.0 -448.0 m 9604 (3) h 9605 0 448.0 m 9606 (=2) h 9607 R 9608 9609 S 9610 38312 -864 M 9611 /Times-Roman-ISOLatin1 F 1000 o f 9612 (Cs) h 9613 0.0 -448.0 m 9614 (4) h 9615 0 448.0 m 9616 (: H) h 9617 0.0 -448.0 m 9618 (4) h 9619 0 448.0 m 9620 (=1, V) h 9621 0.0 -448.0 m 9622 (4) h 9623 0 448.0 m 9624 (=1) h 9625 R 9626 9627 S 9628 4235 -9678 M 9629 /Symbol F 1200 o f 9630 (\267) h 9631 R 9632 9633 S 9634 5961 -9678 M 9635 /Symbol F 1200 o f 9636 (\267) h 9637 R 9638 9639 S 9640 7591 -9678 M 9641 /Symbol F 1200 o f 9642 (\267) h 9643 R 9644 9645 S 9646 9604 -9678 M 9647 /Symbol F 1200 o f 9648 (\267) h 9649 R 9650 9651 S 9652 11522 -9678 M 9653 /Symbol F 1200 o f 9654 (\267) h 9655 R 9656 9657 S 9658 13439 -9678 M 9659 /Symbol F 1200 o f 9660 (\267) h 9661 R 9662 9663 S 9664 4235 -8048 M 9665 /Symbol F 1200 o f 9666 (\267) h 9667 R 9668 9669 S 9670 5961 -8048 M 9671 /Symbol F 1200 o f 9672 (\267) h 9673 R 9674 9675 S 9676 7591 -8048 M 9677 /Symbol F 1200 o f 9678 (\267) h 9679 R 9680 9681 S 9682 9604 -8048 M 9683 /Symbol F 1200 o f 9684 (\267) h 9685 R 9686 9687 S 9688 11426 -8048 M 9689 /Symbol F 1200 o f 9690 (\267) h 9691 R 9692 9693 S 9694 13439 -8048 M 9695 /Symbol F 1200 o f 9696 (\267) h 9697 R 9698 9699 S 9700 4235 -6131 M 9701 /Symbol F 1200 o f 9702 (\267) h 9703 R 9704 9705 S 9706 5961 -6131 M 9707 /Symbol F 1200 o f 9708 (\267) h 9709 R 9710 9711 S 9712 7591 -6131 M 9713 /Symbol F 1200 o f 9714 (\267) h 9715 R 9716 9717 S 9718 9604 -6131 M 9719 /Symbol F 1200 o f 9720 (\267) h 9721 R 9722 9723 S 9724 11522 -6131 M 9725 /Symbol F 1200 o f 9726 (\267) h 9727 R 9728 9729 S 9730 13439 -6131 M 9731 /Symbol F 1200 o f 9732 (\267) h 9733 R 9734 9735 S 9736 4235 -4501 M 9737 /Symbol F 1200 o f 9738 (\267) h 9739 R 9740 9741 S 9742 5961 -4501 M 9743 /Symbol F 1200 o f 9744 (\267) h 9745 R 9746 9747 S 9748 7591 -4501 M 9749 /Symbol F 1200 o f 9750 (\267) h 9751 R 9752 9753 S 9754 9604 -4501 M 9755 /Symbol F 1200 o f 9756 (\267) h 9757 R 9758 9759 S 9760 11618 -4597 M 9761 /Symbol F 1200 o f 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10562 40953 -6293 M 10563 /Symbol F 1200 o f 10564 (\267) h 10565 R 10566 10567 S 10568 42679 -6293 M 10569 /Symbol F 1200 o f 10570 (\267) h 10571 R 10572 10573 S 10574 44500 -6293 M 10575 /Symbol F 1200 o f 10576 (\267) h 10577 R 10578 10579 S 10580 N 10581 42105.00 -4076.00 M 10582 44850.00 -4076.00 L 10583 S 10584 15 w 10585 0 c 10586 0 j 10587 2 i 10588 0.00 G k 10589 R 10590 R 10591 S 10592 N 10593 44324.00 -4330.00 M 10594 44868.00 -4076.00 L 10595 44324.00 -3823.00 L 10596 S 10597 15 w 10598 0 c 10599 0 j 10600 2 i 10601 0.00 G k 10602 R 10603 R 10604 10605 S 10606 N 10607 44789.00 -4172.00 M 10608 41177.00 -5883.00 L 10609 S 10610 15 w 10611 0 c 10612 0 j 10613 2 i 10614 0.00 G k 10615 R 10616 R 10617 S 10618 N 10619 41544.00 -5429.00 M 10620 41161.00 -5891.00 L 10621 41761.00 -5887.00 L 10622 S 10623 15 w 10624 0 c 10625 0 j 10626 2 i 10627 0.00 G k 10628 R 10629 R 10630 10631 S 10632 N 10633 41050.00 -6090.00 M 10634 42549.00 -6090.00 L 10635 S 10636 15 w 10637 0 c 10638 0 j 10639 2 i 10640 0.00 G k 10641 R 10642 R 10643 S 10644 N 10645 42023.00 -6344.00 M 10646 42567.00 -6090.00 L 10647 42023.00 -5837.00 L 10648 S 10649 15 w 10650 0 c 10651 0 j 10652 2 i 10653 0.00 G k 10654 R 10655 R 10656 10657 S 10658 N 10659 25039.00 -3884.00 M 10660 26743.00 -3884.00 L 10661 S 10662 50 w 10663 0 c 10664 0 j 10665 2 i 10666 0.00 G k 10667 R 10668 R 10669 S 10670 N 10671 26259.00 -4138.00 M 10672 26802.00 -3884.00 L 10673 26259.00 -3631.00 L 10674 S 10675 50 w 10676 0 c 10677 0 j 10678 2 i 10679 0.00 G k 10680 R 10681 R 10682 10683 S 10684 N 10685 16885.00 -5023.00 M 10686 27527.00 -5023.00 L 10687 S 10688 15 w 10689 0 c 10690 0 j 10691 2 i 10692 0.00 G k 10693 R 10694 R 10695 10696 S 10697 N 10698 13630.00 -6061.00 M 10699 4855.00 -7491.00 L 10700 S 10701 20 w 10702 0 c 10703 0 j 10704 2 i 10705 0.00 G k 10706 R 10707 R 10708 S 10709 N 10710 5327.00 -7158.00 M 10711 4831.00 -7496.00 L 10712 5409.00 -7658.00 L 10713 S 10714 20 w 10715 0 c 10716 0 j 10717 2 i 10718 0.00 G k 10719 R 10720 R 10721 10722 S 10723 N 10724 41183.00 -4034.00 M 10725 42674.00 -4034.00 L 10726 S 10727 15 w 10728 0 c 10729 0 j 10730 2 i 10731 0.00 G k 10732 R 10733 R 10734 S 10735 N 10736 42148.00 -4288.00 M 10737 42692.00 -4034.00 L 10738 42148.00 -3781.00 L 10739 S 10740 15 w 10741 0 c 10742 0 j 10743 2 i 10744 0.00 G k 10745 R 10746 R 10747 10748 S 10749 /ctm_cached x y D 10750 N 10751 20194.00 -8274.00 T 10752 9817.00 15191.00 s 10753 0 0 1 -68 -112 A 10754 ctm_cached t 10755 0 c 10756 S 10757 50 w 10758 0 c 10759 0 j 10760 2 i 10761 0.00 G k 10762 R 10763 R 10764 10765 S 10766 11023 -14203 M 10767 /Times-Roman-ISOLatin1 F 1000 o f 10768 (MCU) h 10769 0.0 -448.0 m 10770 (1) h 10771 0 448.0 m 10772 ( =) h 10773 R 10774 10775 S 10776 11023 -16599 M 10777 /Times-Roman-ISOLatin1 F 1000 o f 10778 (MCU) h 10779 0.0 -448.0 m 10780 (2) h 10781 0 448.0 m 10782 ( =) h 10783 R 10784 10785 S 10786 11023 -19090 M 10787 /Times-Roman-ISOLatin1 F 1000 o f 10788 (MCU) h 10789 0.0 -448.0 m 10790 (3) h 10791 0 448.0 m 10792 ( =) h 10793 R 10794 10795 S 10796 11023 -21294 M 10797 /Times-Roman-ISOLatin1 F 1000 o f 10798 (MCU) h 10799 0.0 -448.0 m 10800 (4) h 10801 0 448.0 m 10802 ( =) h 10803 R 10804 10805 S 10806 16717 -24638 M 10807 /Times-Roman-ISOLatin1 F 1000 o f 10808 (Cs) h 10809 0.0 -448.0 m 10810 (1) h 10811 0 448.0 m 10812 ( data units) h 10813 R 10814 10815 S 10816 25825 -24638 M 10817 /Times-Roman-ISOLatin1 F 1000 o f 10818 (Cs) h 10819 0.0 -448.0 m 10820 (2) h 10821 0 448.0 m 10822 ( ) h 10823 R 10824 10825 S 10826 29852 -24638 M 10827 /Times-Roman-ISOLatin1 F 1000 o f 10828 (Cs) h 10829 0.0 -448.0 m 10830 (3) h 10831 0 448.0 m 10832 ( ) h 10833 R 10834 10835 S 10836 33686 -24638 M 10837 /Times-Roman-ISOLatin1 F 1000 o f 10838 (Cs) h 10839 0.0 -448.0 m 10840 (4) h 10841 0 448.0 m 10842 R 10843 10844 N 10845 S 10846 16308 -15128 19255 2476 @ I N 10847 16308 -12652 T 10848 N 10849 N 10850 S 10851 -574 -2646 20500 3339 @ I N 10852 -574 693 T 10853 N 10854 S 10855 800 -2179 M 10856 /Dutch801-Italic-DECmath_Italic F 1000 o f 10857 (d) h 10858 R 10859 10860 S 10861 1400 -1481 M 10862 /Times-Roman-ISOLatin1 F 800 o f 10863 (1) h 10864 R 10865 10866 S 10867 1400 -2525 M 10868 /Times-Roman-ISOLatin1 F 800 o f 10869 (00) h 10870 R 10871 10872 S 10873 2400 -2083 M 10874 /Times-Roman-ISOLatin1 F 800 o f 10875 ( ) h 10876 R 10877 10878 S 10879 2700 -2179 M 10880 /Dutch801-Italic-DECmath_Italic F 1000 o f 10881 (d) h 10882 R 10883 10884 S 10885 3300 -1481 M 10886 /Times-Roman-ISOLatin1 F 800 o f 10887 (1) h 10888 R 10889 10890 S 10891 3300 -2525 M 10892 /Times-Roman-ISOLatin1 F 800 o f 10893 (0) h 10894 R 10895 10896 S 10897 3800 -2534 M 10898 /Times-Roman-ISOLatin1 F 800 o f 10899 (1) h 10900 R 10901 10902 S 10903 4300 -2099 M 10904 /Times-Roman-ISOLatin1 F 1000 o f 10905 ( ) h 10906 R 10907 10908 S 10909 4600 -2179 M 10910 /Dutch801-Italic-DECmath_Italic F 1000 o f 10911 (d) h 10912 R 10913 10914 S 10915 5200 -1481 M 10916 /Times-Roman-ISOLatin1 F 800 o f 10917 (1) h 10918 R 10919 10920 S 10921 5200 -2534 M 10922 /Times-Roman-ISOLatin1 F 800 o f 10923 (1) h 10924 R 10925 10926 S 10927 5700 -2525 M 10928 /Times-Roman-ISOLatin1 F 800 o f 10929 (0) h 10930 R 10931 10932 S 10933 6200 -2099 M 10934 /Times-Roman-ISOLatin1 F 1000 o f 10935 ( ) h 10936 R 10937 10938 S 10939 6500 -2179 M 10940 /Dutch801-Italic-DECmath_Italic F 1000 o f 10941 (d) h 10942 R 10943 10944 S 10945 7100 -1481 M 10946 /Times-Roman-ISOLatin1 F 800 o f 10947 (1) h 10948 R 10949 10950 S 10951 7100 -2534 M 10952 /Times-Roman-ISOLatin1 F 800 o f 10953 (11) h 10954 R 10955 10956 S 10957 8100 -2099 M 10958 /Times-Roman-ISOLatin1 F 1000 o f 10959 ( ) h 10960 R 10961 10962 S 10963 9000 -2179 M 10964 /Dutch801-Italic-DECmath_Italic F 1000 o f 10965 (d) h 10966 R 10967 10968 S 10969 9600 -1481 M 10970 /Times-Roman-ISOLatin1 F 800 o f 10971 (2) h 10972 R 10973 10974 S 10975 9600 -2525 M 10976 /Times-Roman-ISOLatin1 F 800 o f 10977 (00) h 10978 R 10979 10980 S 10981 10600 -2099 M 10982 /Times-Roman-ISOLatin1 F 1000 o f 10983 ( ) h 10984 R 10985 10986 S 10987 10900 -2179 M 10988 /Dutch801-Italic-DECmath_Italic F 1000 o f 10989 (d) h 10990 R 10991 10992 S 10993 11500 -1481 M 10994 /Times-Roman-ISOLatin1 F 800 o f 10995 (2) h 10996 R 10997 10998 S 10999 11500 -2525 M 11000 /Times-Roman-ISOLatin1 F 800 o f 11001 (0) h 11002 R 11003 11004 S 11005 12000 -2534 M 11006 /Times-Roman-ISOLatin1 F 800 o f 11007 (1) h 11008 R 11009 11010 S 11011 12500 -2083 M 11012 /Times-Roman-ISOLatin1 F 800 o f 11013 ( ) h 11014 R 11015 11016 S 11017 13400 -2178 M 11018 /Dutch801-Italic-DECmath_Italic F 1000 o f 11019 (d) h 11020 R 11021 11022 S 11023 14000 -1476 M 11024 /Times-Roman-ISOLatin1 F 800 o f 11025 (3) h 11026 R 11027 11028 S 11029 14000 -2525 M 11030 /Times-Roman-ISOLatin1 F 800 o f 11031 (00) h 11032 R 11033 11034 S 11035 15000 -2099 M 11036 /Times-Roman-ISOLatin1 F 1000 o f 11037 ( ) h 11038 R 11039 11040 S 11041 15300 -2178 M 11042 /Dutch801-Italic-DECmath_Italic F 1000 o f 11043 (d) h 11044 R 11045 11046 S 11047 15900 -1476 M 11048 /Times-Roman-ISOLatin1 F 800 o f 11049 (3) h 11050 R 11051 11052 S 11053 15900 -2534 M 11054 /Times-Roman-ISOLatin1 F 800 o f 11055 (1) h 11056 R 11057 11058 S 11059 16400 -2525 M 11060 /Times-Roman-ISOLatin1 F 800 o f 11061 (0) h 11062 R 11063 11064 S 11065 16900 -2099 M 11066 /Times-Roman-ISOLatin1 F 1000 o f 11067 ( ) h 11068 R 11069 11070 S 11071 17800 -2179 M 11072 /Dutch801-Italic-DECmath_Italic F 1000 o f 11073 (d) h 11074 R 11075 11076 S 11077 18400 -1481 M 11078 /Times-Roman-ISOLatin1 F 800 o f 11079 (4) h 11080 R 11081 11082 S 11083 18400 -2525 M 11084 /Times-Roman-ISOLatin1 F 800 o f 11085 (00) h 11086 R 11087 11088 S 11089 19400 -2099 M 11090 /Times-Roman-ISOLatin1 F 1000 o f 11091 (,) h 11092 R 11093 11094 R 11095 11096 11097 R 11098 11099 11100 N 11101 S 11102 16377 -17452 19254 2287 @ I N 11103 16377 -15165 T 11104 N 11105 N 11106 S 11107 -575 -2476 20500 3339 @ I N 11108 -575 863 T 11109 N 11110 S 11111 800 -2179 M 11112 /Dutch801-Italic-DECmath_Italic F 1000 o f 11113 (d) h 11114 R 11115 11116 S 11117 1400 -1481 M 11118 /Times-Roman-ISOLatin1 F 800 o f 11119 (1) h 11120 R 11121 11122 S 11123 1400 -2525 M 11124 /Times-Roman-ISOLatin1 F 800 o f 11125 (0) h 11126 R 11127 11128 S 11129 1900 -2534 M 11130 /Times-Roman-ISOLatin1 F 800 o f 11131 (2) h 11132 R 11133 11134 S 11135 2400 -2099 M 11136 /Times-Roman-ISOLatin1 F 1200 o f 11137 ( ) h 11138 R 11139 11140 S 11141 2700 -2179 M 11142 /Dutch801-Italic-DECmath_Italic F 1000 o f 11143 (d) h 11144 R 11145 11146 S 11147 3300 -1481 M 11148 /Times-Roman-ISOLatin1 F 800 o f 11149 (1) h 11150 R 11151 11152 S 11153 3300 -2525 M 11154 /Times-Roman-ISOLatin1 F 800 o f 11155 (03) h 11156 R 11157 11158 S 11159 4300 -2099 M 11160 /Times-Roman-ISOLatin1 F 1200 o f 11161 ( ) h 11162 R 11163 11164 S 11165 4600 -2179 M 11166 /Dutch801-Italic-DECmath_Italic F 1000 o f 11167 (d) h 11168 R 11169 11170 S 11171 5200 -1481 M 11172 /Times-Roman-ISOLatin1 F 800 o f 11173 (1) h 11174 R 11175 11176 S 11177 5200 -2534 M 11178 /Times-Roman-ISOLatin1 F 800 o f 11179 (1) h 11180 R 11181 11182 S 11183 5700 -2525 M 11184 /Times-Roman-ISOLatin1 F 800 o f 11185 (2) h 11186 R 11187 11188 S 11189 6200 -2099 M 11190 /Times-Roman-ISOLatin1 F 1200 o f 11191 ( ) h 11192 R 11193 11194 S 11195 6500 -2179 M 11196 /Dutch801-Italic-DECmath_Italic F 1000 o f 11197 (d) h 11198 R 11199 11200 S 11201 7100 -1481 M 11202 /Times-Roman-ISOLatin1 F 800 o f 11203 (1) h 11204 R 11205 11206 S 11207 7100 -2534 M 11208 /Times-Roman-ISOLatin1 F 800 o f 11209 (1) h 11210 R 11211 11212 S 11213 7600 -2525 M 11214 /Times-Roman-ISOLatin1 F 800 o f 11215 (3) h 11216 R 11217 11218 S 11219 8100 -2099 M 11220 /Times-Roman-ISOLatin1 F 1200 o f 11221 ( ) h 11222 R 11223 11224 S 11225 9000 -2179 M 11226 /Dutch801-Italic-DECmath_Italic F 1000 o f 11227 (d) h 11228 R 11229 11230 S 11231 9600 -1481 M 11232 /Times-Roman-ISOLatin1 F 800 o f 11233 (2) h 11234 R 11235 11236 S 11237 9600 -2525 M 11238 /Times-Roman-ISOLatin1 F 800 o f 11239 (0) h 11240 R 11241 11242 S 11243 10100 -2534 M 11244 /Times-Roman-ISOLatin1 F 800 o f 11245 (2) h 11246 R 11247 11248 S 11249 10600 -2099 M 11250 /Times-Roman-ISOLatin1 F 1200 o f 11251 ( ) h 11252 R 11253 11254 S 11255 10900 -2179 M 11256 /Dutch801-Italic-DECmath_Italic F 1000 o f 11257 (d) h 11258 R 11259 11260 S 11261 11500 -1481 M 11262 /Times-Roman-ISOLatin1 F 800 o f 11263 (2) h 11264 R 11265 11266 S 11267 11500 -2525 M 11268 /Times-Roman-ISOLatin1 F 800 o f 11269 (03) h 11270 R 11271 11272 S 11273 12500 -2099 M 11274 /Times-Roman-ISOLatin1 F 1200 o f 11275 ( ) h 11276 R 11277 11278 S 11279 13400 -2178 M 11280 /Dutch801-Italic-DECmath_Italic F 1000 o f 11281 (d) h 11282 R 11283 11284 S 11285 14000 -1476 M 11286 /Times-Roman-ISOLatin1 F 800 o f 11287 (3) h 11288 R 11289 11290 S 11291 14000 -2541 M 11292 /Times-Roman-ISOLatin1 F 1000 o f 11293 (0) h 11294 R 11295 11296 S 11297 14500 -2534 M 11298 /Times-Roman-ISOLatin1 F 800 o f 11299 (1) h 11300 R 11301 11302 S 11303 15000 -2099 M 11304 /Times-Roman-ISOLatin1 F 1200 o f 11305 ( ) h 11306 R 11307 11308 S 11309 15300 -2178 M 11310 /Dutch801-Italic-DECmath_Italic F 1000 o f 11311 (d) h 11312 R 11313 11314 S 11315 15900 -1476 M 11316 /Times-Roman-ISOLatin1 F 800 o f 11317 (3) h 11318 R 11319 11320 S 11321 15900 -2534 M 11322 /Times-Roman-ISOLatin1 F 800 o f 11323 (11) h 11324 R 11325 11326 S 11327 16900 -2099 M 11328 /Times-Roman-ISOLatin1 F 1200 o f 11329 ( ) h 11330 R 11331 11332 S 11333 17800 -2179 M 11334 /Dutch801-Italic-DECmath_Italic F 1000 o f 11335 (d) h 11336 R 11337 11338 S 11339 18400 -1481 M 11340 /Times-Roman-ISOLatin1 F 800 o f 11341 (4) h 11342 R 11343 11344 S 11345 18400 -2525 M 11346 /Times-Roman-ISOLatin1 F 800 o f 11347 (0) h 11348 R 11349 11350 S 11351 18900 -2534 M 11352 /Times-Roman-ISOLatin1 F 800 o f 11353 (1) h 11354 R 11355 11356 S 11357 19400 -2099 M 11358 /Times-Roman-ISOLatin1 F 1200 o f 11359 (,) h 11360 R 11361 11362 R 11363 11364 11365 R 11366 11367 11368 N 11369 S 11370 16282 -19949 19447 2391 @ I N 11371 16282 -17558 T 11372 N 11373 N 11374 S 11375 -478 -2511 20500 3347 @ I N 11376 -478 836 T 11377 N 11378 S 11379 800 -2179 M 11380 /Dutch801-Italic-DECmath_Italic F 1000 o f 11381 (d) h 11382 R 11383 11384 S 11385 1400 -1481 M 11386 /Times-Roman-ISOLatin1 F 800 o f 11387 (1) h 11388 R 11389 11390 S 11391 1400 -2525 M 11392 /Times-Roman-ISOLatin1 F 800 o f 11393 (0) h 11394 R 11395 11396 S 11397 1900 -2534 M 11398 /Times-Roman-ISOLatin1 F 800 o f 11399 (4) h 11400 R 11401 11402 S 11403 2400 -2099 M 11404 /Times-Roman-ISOLatin1 F 1200 o f 11405 ( ) h 11406 R 11407 11408 S 11409 2700 -2179 M 11410 /Dutch801-Italic-DECmath_Italic F 1000 o f 11411 (d) h 11412 R 11413 11414 S 11415 3300 -1481 M 11416 /Times-Roman-ISOLatin1 F 800 o f 11417 (1) h 11418 R 11419 11420 S 11421 3300 -2525 M 11422 /Times-Roman-ISOLatin1 F 800 o f 11423 (0) h 11424 R 11425 11426 S 11427 3800 -2533 M 11428 /Times-Roman-ISOLatin1 F 800 o f 11429 (5) h 11430 R 11431 11432 S 11433 4300 -2099 M 11434 /Times-Roman-ISOLatin1 F 1200 o f 11435 ( ) h 11436 R 11437 11438 S 11439 4600 -2179 M 11440 /Dutch801-Italic-DECmath_Italic F 1000 o f 11441 (d) h 11442 R 11443 11444 S 11445 5200 -1481 M 11446 /Times-Roman-ISOLatin1 F 800 o f 11447 (1) h 11448 R 11449 11450 S 11451 5200 -2534 M 11452 /Times-Roman-ISOLatin1 F 800 o f 11453 (14) h 11454 R 11455 11456 S 11457 6200 -2099 M 11458 /Times-Roman-ISOLatin1 F 1200 o f 11459 ( ) h 11460 R 11461 11462 S 11463 6500 -2179 M 11464 /Dutch801-Italic-DECmath_Italic F 1000 o f 11465 (d) h 11466 R 11467 11468 S 11469 7100 -1481 M 11470 /Times-Roman-ISOLatin1 F 800 o f 11471 (1) h 11472 R 11473 11474 S 11475 7100 -2534 M 11476 /Times-Roman-ISOLatin1 F 800 o f 11477 (1) h 11478 R 11479 11480 S 11481 7600 -2533 M 11482 /Times-Roman-ISOLatin1 F 800 o f 11483 (5) h 11484 R 11485 11486 S 11487 8100 -2099 M 11488 /Times-Roman-ISOLatin1 F 1200 o f 11489 ( ) h 11490 R 11491 11492 S 11493 9000 -2179 M 11494 /Dutch801-Italic-DECmath_Italic F 1000 o f 11495 (d) h 11496 R 11497 11498 S 11499 9600 -1481 M 11500 /Times-Roman-ISOLatin1 F 800 o f 11501 (2) h 11502 R 11503 11504 S 11505 9600 -2525 M 11506 /Times-Roman-ISOLatin1 F 800 o f 11507 (0) h 11508 R 11509 11510 S 11511 10100 -2534 M 11512 /Times-Roman-ISOLatin1 F 800 o f 11513 (4) h 11514 R 11515 11516 S 11517 10600 -2099 M 11518 /Times-Roman-ISOLatin1 F 1200 o f 11519 ( ) h 11520 R 11521 11522 S 11523 10900 -2179 M 11524 /Dutch801-Italic-DECmath_Italic F 1000 o f 11525 (d) h 11526 R 11527 11528 S 11529 11500 -1481 M 11530 /Times-Roman-ISOLatin1 F 800 o f 11531 (2) h 11532 R 11533 11534 S 11535 11500 -2525 M 11536 /Times-Roman-ISOLatin1 F 800 o f 11537 (0) h 11538 R 11539 11540 S 11541 12000 -2533 M 11542 /Times-Roman-ISOLatin1 F 800 o f 11543 (5) h 11544 R 11545 11546 S 11547 12500 -2099 M 11548 /Times-Roman-ISOLatin1 F 1200 o f 11549 ( ) h 11550 R 11551 11552 S 11553 13400 -2178 M 11554 /Dutch801-Italic-DECmath_Italic F 1000 o f 11555 (d) h 11556 R 11557 11558 S 11559 14000 -1476 M 11560 /Times-Roman-ISOLatin1 F 800 o f 11561 (3) h 11562 R 11563 11564 S 11565 14000 -2525 M 11566 /Times-Roman-ISOLatin1 F 800 o f 11567 (0) h 11568 R 11569 11570 S 11571 14500 -2534 M 11572 /Times-Roman-ISOLatin1 F 800 o f 11573 (2) h 11574 R 11575 11576 S 11577 15000 -2099 M 11578 /Times-Roman-ISOLatin1 F 1200 o f 11579 ( ) h 11580 R 11581 11582 S 11583 15300 -2178 M 11584 /Dutch801-Italic-DECmath_Italic F 1000 o f 11585 (d) h 11586 R 11587 11588 S 11589 15900 -1476 M 11590 /Times-Roman-ISOLatin1 F 800 o f 11591 (3) h 11592 R 11593 11594 S 11595 15900 -2534 M 11596 /Times-Roman-ISOLatin1 F 800 o f 11597 (12) h 11598 R 11599 11600 S 11601 16900 -2099 M 11602 /Times-Roman-ISOLatin1 F 1200 o f 11603 ( ) h 11604 R 11605 11606 S 11607 17800 -2179 M 11608 /Dutch801-Italic-DECmath_Italic F 1000 o f 11609 (d) h 11610 R 11611 11612 S 11613 18400 -1481 M 11614 /Times-Roman-ISOLatin1 F 800 o f 11615 (4) h 11616 R 11617 11618 S 11619 18400 -2525 M 11620 /Times-Roman-ISOLatin1 F 800 o f 11621 (0) h 11622 R 11623 11624 S 11625 18900 -2534 M 11626 /Times-Roman-ISOLatin1 F 800 o f 11627 (2) h 11628 R 11629 11630 S 11631 19400 -2099 M 11632 /Times-Roman-ISOLatin1 F 1200 o f 11633 (,) h 11634 R 11635 11636 R 11637 11638 11639 R 11640 11641 11642 N 11643 S 11644 16282 -22537 19447 2391 @ I N 11645 16282 -20146 T 11646 N 11647 N 11648 S 11649 -478 -2440 20500 3347 @ I N 11650 -478 907 T 11651 N 11652 S 11653 800 -2179 M 11654 /Dutch801-Italic-DECmath_Italic F 1000 o f 11655 (d) h 11656 R 11657 11658 S 11659 1400 -1481 M 11660 /Times-Roman-ISOLatin1 F 800 o f 11661 (1) h 11662 R 11663 11664 S 11665 1400 -2525 M 11666 /Times-Roman-ISOLatin1 F 800 o f 11667 (20) h 11668 R 11669 11670 S 11671 2400 -2099 M 11672 /Times-Roman-ISOLatin1 F 1200 o f 11673 ( ) h 11674 R 11675 11676 S 11677 2700 -2179 M 11678 /Dutch801-Italic-DECmath_Italic F 1000 o f 11679 (d) h 11680 R 11681 11682 S 11683 3300 -1481 M 11684 /Times-Roman-ISOLatin1 F 800 o f 11685 (1) h 11686 R 11687 11688 S 11689 3300 -2541 M 11690 /Times-Roman-ISOLatin1 F 1000 o f 11691 (2) h 11692 R 11693 11694 S 11695 3800 -2533 M 11696 /Times-Roman-ISOLatin1 F 800 o f 11697 (1) h 11698 R 11699 11700 S 11701 4300 -2099 M 11702 /Times-Roman-ISOLatin1 F 1200 o f 11703 ( ) h 11704 R 11705 11706 S 11707 4600 -2179 M 11708 /Dutch801-Italic-DECmath_Italic F 1000 o f 11709 (d) h 11710 R 11711 11712 S 11713 5200 -1481 M 11714 /Times-Roman-ISOLatin1 F 800 o f 11715 (1) h 11716 R 11717 11718 S 11719 5200 -2534 M 11720 /Times-Roman-ISOLatin1 F 800 o f 11721 (30) h 11722 R 11723 11724 S 11725 6200 -2099 M 11726 /Times-Roman-ISOLatin1 F 1200 o f 11727 ( ) h 11728 R 11729 11730 S 11731 6500 -2179 M 11732 /Dutch801-Italic-DECmath_Italic F 1000 o f 11733 (d) h 11734 R 11735 11736 S 11737 7100 -1481 M 11738 /Times-Roman-ISOLatin1 F 800 o f 11739 (1) h 11740 R 11741 11742 S 11743 7100 -2534 M 11744 /Times-Roman-ISOLatin1 F 800 o f 11745 (3) h 11746 R 11747 11748 S 11749 7600 -2533 M 11750 /Times-Roman-ISOLatin1 F 800 o f 11751 (1) h 11752 R 11753 11754 S 11755 8100 -2099 M 11756 /Times-Roman-ISOLatin1 F 1200 o f 11757 ( ) h 11758 R 11759 11760 S 11761 9000 -2179 M 11762 /Dutch801-Italic-DECmath_Italic F 1000 o f 11763 (d) h 11764 R 11765 11766 S 11767 9600 -1481 M 11768 /Times-Roman-ISOLatin1 F 800 o f 11769 (2) h 11770 R 11771 11772 S 11773 9600 -2525 M 11774 /Times-Roman-ISOLatin1 F 800 o f 11775 (1) h 11776 R 11777 11778 S 11779 10100 -2534 M 11780 /Times-Roman-ISOLatin1 F 800 o f 11781 (0) h 11782 R 11783 11784 S 11785 10600 -2099 M 11786 /Times-Roman-ISOLatin1 F 1200 o f 11787 ( ) h 11788 R 11789 11790 S 11791 10900 -2179 M 11792 /Dutch801-Italic-DECmath_Italic F 1000 o f 11793 (d) h 11794 R 11795 11796 S 11797 11500 -1481 M 11798 /Times-Roman-ISOLatin1 F 800 o f 11799 (2) h 11800 R 11801 11802 S 11803 11500 -2525 M 11804 /Times-Roman-ISOLatin1 F 800 o f 11805 (1) h 11806 R 11807 11808 S 11809 12000 -2533 M 11810 /Times-Roman-ISOLatin1 F 800 o f 11811 (1) h 11812 R 11813 11814 S 11815 12500 -2099 M 11816 /Times-Roman-ISOLatin1 F 1200 o f 11817 ( ) h 11818 R 11819 11820 S 11821 13400 -2178 M 11822 /Dutch801-Italic-DECmath_Italic F 1000 o f 11823 (d) h 11824 R 11825 11826 S 11827 14000 -1476 M 11828 /Times-Roman-ISOLatin1 F 800 o f 11829 (3) h 11830 R 11831 11832 S 11833 14000 -2525 M 11834 /Times-Roman-ISOLatin1 F 800 o f 11835 (2) h 11836 R 11837 11838 S 11839 14500 -2534 M 11840 /Times-Roman-ISOLatin1 F 800 o f 11841 (0) h 11842 R 11843 11844 S 11845 15000 -2099 M 11846 /Times-Roman-ISOLatin1 F 1200 o f 11847 ( ) h 11848 R 11849 11850 S 11851 15300 -2178 M 11852 /Dutch801-Italic-DECmath_Italic F 1000 o f 11853 (d) h 11854 R 11855 11856 S 11857 15900 -1476 M 11858 /Times-Roman-ISOLatin1 F 800 o f 11859 (3) h 11860 R 11861 11862 S 11863 15900 -2534 M 11864 /Times-Roman-ISOLatin1 F 800 o f 11865 (30) h 11866 R 11867 11868 S 11869 16900 -2099 M 11870 /Times-Roman-ISOLatin1 F 1200 o f 11871 ( ) h 11872 R 11873 11874 S 11875 17800 -2179 M 11876 /Dutch801-Italic-DECmath_Italic F 1000 o f 11877 (d) h 11878 R 11879 11880 S 11881 18400 -1481 M 11882 /Times-Roman-ISOLatin1 F 800 o f 11883 (4) h 11884 R 11885 11886 S 11887 18400 -2525 M 11888 /Times-Roman-ISOLatin1 F 800 o f 11889 (1) h 11890 R 11891 11892 S 11893 18900 -2534 M 11894 /Times-Roman-ISOLatin1 F 800 o f 11895 (0) h 11896 R 11897 11898 S 11899 19400 -2099 M 11900 /Times-Roman-ISOLatin1 F 1200 o f 11901 (,) h 11902 R 11903 11904 R 11905 11906 11907 R 11908 11909 11910 S 11911 /ctm_cached x y D 11912 N 11913 26734.00 -20869.00 T 11914 2089.00 2274.00 s 11915 0 0 1 -41 -139 A 11916 ctm_cached t 11917 0 c 11918 S 11919 50 w 11920 0 c 11921 0 j 11922 2 i 11923 0.00 G k 11924 R 11925 R 11926 11927 S 11928 /ctm_cached x y D 11929 N 11930 30760.00 -20869.00 T 11931 2089.00 2274.00 s 11932 0 0 1 -41 -139 A 11933 ctm_cached t 11934 0 c 11935 S 11936 50 w 11937 0 c 11938 0 j 11939 2 i 11940 0.00 G k 11941 R 11942 R 11943 11944 S 11945 /ctm_cached x y D 11946 N 11947 34402.00 -20868.00 T 11948 1454.00 1988.00 s 11949 0 0 1 -41 -139 A 11950 ctm_cached t 11951 0 c 11952 S 11953 50 w 11954 0 c 11955 0 j 11956 2 i 11957 0.00 G k 11958 R 11959 R 11960 11961 S 11962 12817 -27196 M 11963 /Times-Roman-ISOLatin1 F 1000 o f 11964 (Figure 8. Generalized Interleaved Data Ordering Example) h 11965 R 11966 11967 R 11968 11969 11970 R 11971 R 11972 11973 S 11974 30679 -75738 M 11975 /Times-Roman-ISOLatin1 F 1000 o f 11976 (9) h 11977 R 11978 11979 showpage 11980 $P e 11981 11982 %%Page: 10 10 11983 /$P a D 11984 g N 11985 0 79200 T 11986 S 11987 R 11988 S 11989 6324 -5315 T 11990 N 11991 0 G 11992 300 -1050 M 11993 300 -18735 M 11994 300 -19835 M 11995 300 -21085 M 11996 /Times-Bold-ISOLatin1 $ 11997 /Times-Bold & P 11998 /Times-Bold-ISOLatin1 F 1200 o f 11999 473.0 0 32 (7 Baseline and Other DCT Sequential) W 12000 300 -22385 M 12001 (Codecs) h 12002 300 -24135 M 12003 /Times-Roman-ISOLatin1 $ 12004 /Times-Roman & P 12005 /Times-Roman-ISOLatin1 F 1000 o f 12006 97.0 0 32 (The DCT sequential mode of operation consists of the) W 12007 300 -25235 M 12008 135.1 0 32 (FDCT and Quantization steps from section 4, and the) W 12009 300 -26335 M 12010 481.0 0 32 (multiple\255component control from section 6.3. In) W 12011 300 -27435 M 12012 182.3 0 32 (addition to the Baseline sequential codec, other DCT) W 12013 300 -28535 M 12014 91.4 0 32 (sequential codecs are defined to accommodate the two) W 12015 300 -29635 M 12016 70.9 0 32 (different sample precisions \(8 and 12 bits\) and the two) W 12017 300 -30735 M 12018 240.7 0 32 (different types of entropy coding methods \(Huffman) W 12019 300 -31835 M 12020 (and arithmetic\).) h 12021 300 -32935 M 12022 300 -34035 M 12023 305.1 0 32 (Baseline sequential coding is for images with 8\255bit) W 12024 300 -35135 M 12025 67.8 0 32 (samples and uses Huffman coding only. It also differs) W 12026 300 -36235 M 12027 402.5 0 32 (from the other sequential DCT codecs in that its) W 12028 300 -37335 M 12029 40.2 0 32 (decoder can store only two sets of Huffman tables \(one) W 12030 300 -38435 M 12031 47.1 0 32 (AC table and DC table per set\). This restriction means) W 12032 300 -39535 M 12033 603.1 0 32 (that, for images with three or four interleaved) W 12034 300 -40635 M 12035 36.9 0 32 (components, at least one set of Huffman tables must be) W 12036 300 -41735 M 12037 149.0 0 32 (shared by two components. This restriction poses no) W 12038 300 -42835 M 12039 106.9 0 32 (limitation at all for noninterleaved components; a new) W 12040 300 -43935 M 12041 268.7 0 32 (set of tables can be loaded into the decoder before) W 12042 300 -45035 M 12043 (decompression of a noninterleaved component begins.) h 12044 300 -46135 M 12045 300 -47235 M 12046 313.3 0 32 (For many applications which do need to interleave) W 12047 300 -48335 M 12048 341.0 0 32 (three color components, this restriction is hardly a) W 12049 300 -49435 M 12050 467.9 0 32 (limitation at all. Color spaces \(YUV, CIELUV,) W 12051 300 -50535 M 12052 254.7 0 32 (CIELAB, and others\) which represent the chromatic) W 12053 300 -51635 M 12054 398.0 0 32 (\(``color''\) information in two components and the) W 12055 300 -52735 M 12056 278.2 0 32 (achromatic \(``grayscale''\) information in a third are) W 12057 300 -53835 M 12058 134.9 0 32 (more efficient for compression than spaces like RGB. ) W 12059 300 -54935 M 12060 95.9 0 32 (One Huffman table set can be used for the achromatic) W 12061 300 -56035 M 12062 162.0 0 32 (component and one for the chrominance components. ) W 12063 300 -57135 M 12064 805.3 0 32 (DCT coefficient statistics are similar for the) W 12065 300 -58235 M 12066 118.9 0 32 (chrominance components of most images, and one set) W 12067 300 -59335 M 12068 41.5 0 32 (of Huffman tables can encode both almost as optimally) W 12069 300 -60435 M 12070 (as two.) h 12071 300 -61535 M 12072 300 -62635 M 12073 448.1 0 32 (The committee also felt that early availability of) W 12074 300 -63735 M 12075 665.8 0 32 (single\255chip implementations at commodity prices) W 12076 300 -64835 M 12077 602.2 0 32 (would encourage early acceptance of the JPEG) W 12078 300 -65935 M 12079 203.6 0 32 (proposal in a variety of applications. In 1988 when) W 12080 -6324 5315 T 12081 S 12082 N 12083 S 12084 4614 -23300 26461 16585 @ I N 12085 4614 -6715 T 12086 N 12087 S 12088 10111 -3956 M 12089 /Times-Roman-ISOLatin1 F 1000 o f 12090 (Encoding ) h 12091 R 12092 12093 12094 S 12095 10191 -4798 M 12096 /Times-Roman-ISOLatin1 F 900 o f 12097 ( ) h 12098 n 1.111 o f 12099 (Process) h 12100 R 12101 12102 S 12103 3508 -2047 M 12104 /Times-Roman-ISOLatin1 F 900 o f 12105 ( ) h 12106 n 1.111 o f 12107 (A) h 12108 R 12109 12110 S 12111 3573 -4517 M 12112 /Times-Roman-ISOLatin1 F 900 o f 12113 ( ) h 12114 n 1.111 o f 12115 (B) h 12116 R 12117 12118 S 12119 3709 -6861 M 12120 /Times-Roman-ISOLatin1 F 900 o f 12121 ( ) h 12122 n 1.111 o f 12123 (C) h 12124 R 12125 12126 S 12127 3690 -2541 1239 1570 @ 12128 S 12129 50 w 12130 0 c 12131 0 j 12132 2 i 12133 0.00 G k 12134 R 12135 R 12136 12137 S 12138 3690 -4936 1239 1569 @ 12139 S 12140 50 w 12141 0 c 12142 0 j 12143 2 i 12144 0.00 G k 12145 R 12146 R 12147 12148 S 12149 3690 -7168 1239 1569 @ 12150 S 12151 50 w 12152 0 c 12153 0 j 12154 2 i 12155 0.00 G k 12156 R 12157 R 12158 12159 S 12160 9629 -5104 4697 2315 @ 12161 S 12162 50 w 12163 0 c 12164 0 j 12165 2 i 12166 0.00 G k 12167 R 12168 R 12169 12170 S 12171 N 12172 4995.00 -1881.00 M 12173 6300.00 -1881.00 L 12174 S 12175 50 w 12176 0 c 12177 0 j 12178 2 i 12179 0.00 G k 12180 R 12181 R 12182 12183 S 12184 N 12185 4995.00 -4111.00 M 12186 6300.00 -4111.00 L 12187 S 12188 50 w 12189 0 c 12190 0 j 12191 2 i 12192 0.00 G k 12193 R 12194 R 12195 12196 S 12197 N 12198 4995.00 -6423.00 M 12199 6300.00 -6423.00 L 12200 S 12201 50 w 12202 0 c 12203 0 j 12204 2 i 12205 0.00 G k 12206 R 12207 R 12208 12209 S 12210 8970 -10675 M 12211 /Times-Roman-ISOLatin1 F 1000 o f 12212 (Table) h 12213 n 0.900 o f 12214 ( ) h 12215 n 1.111 o f 12216 (Table ) h 12217 R 12218 12219 S 12220 12189 -12096 3325 2419 @ 12221 S 12222 50 w 12223 0 c 12224 0 j 12225 2 i 12226 0.00 G k 12227 R 12228 R 12229 12230 S 12231 N 12232 10543.00 -9759.00 M 12233 10543.00 -8272.00 L 12234 S 12235 50 w 12236 0 c 12237 0 j 12238 2 i 12239 0.00 G k 12240 R 12241 R 12242 12243 S 12244 N 12245 13458.00 -9484.00 M 12246 13458.00 -8269.00 L 12247 S 12248 50 w 12249 0 c 12250 0 j 12251 2 i 12252 0.00 G k 12253 R 12254 R 12255 12256 S 12257 N 12258 14262.00 -3945.00 M 12259 17538.00 -3945.00 L 12260 S 12261 50 w 12262 0 c 12263 0 j 12264 2 i 12265 0.00 G k 12266 R 12267 R 12268 S 12269 N 12270 17054.00 -4199.00 M 12271 17597.00 -3945.00 L 12272 17054.00 -3692.00 L 12273 S 12274 50 w 12275 0 c 12276 0 j 12277 2 i 12278 0.00 G k 12279 R 12280 R 12281 12282 S 12283 /ctm_cached x y D 12284 N 12285 8425.00 -4192.00 T 12286 1276.00 1616.00 s 12287 0 0 1 -133 -227 A 12288 ctm_cached t 12289 0 c 12290 S 12291 50 w 12292 0 c 12293 0 j 12294 2 i 12295 0.00 G k 12296 R 12297 R 12298 S 12299 N 12300 7064.00 -5064.00 M 12301 7573.00 -5381.00 L 12302 7489.00 -4787.00 L 12303 S 12304 50 w 12305 0 c 12306 0 j 12307 2 i 12308 0.00 G k 12309 R 12310 R 12311 S 12312 N 12313 7469.00 -3594.00 M 12314 7572.00 -3003.00 L 12315 7053.00 -3304.00 L 12316 S 12317 50 w 12318 0 c 12319 0 j 12320 2 i 12321 0.00 G k 12322 R 12323 R 12324 12325 S 12326 /ctm_cached x y D 12327 N 12328 12140.00 -4725.00 T 12329 2711.00 3432.00 s 12330 0 0 1 -61 -119 A 12331 ctm_cached t 12332 0 c 12333 S 12334 50 w 12335 0 c 12336 0 j 12337 2 i 12338 0.00 G k 12339 R 12340 R 12341 S 12342 N 12343 13156.00 -8199.00 M 12344 13486.00 -7698.00 L 12345 12890.00 -7767.00 L 12346 S 12347 50 w 12348 0 c 12349 0 j 12350 2 i 12351 0.00 G k 12352 R 12353 R 12354 S 12355 N 12356 11389.00 -7778.00 M 12357 10794.00 -7699.00 L 12358 11115.00 -8205.00 L 12359 S 12360 50 w 12361 0 c 12362 0 j 12363 2 i 12364 0.00 G k 12365 R 12366 R 12367 12368 S 12369 17720 -4729 5866 1568 @ 12370 S 12371 50 w 12372 0 c 12373 0 j 12374 2 i 12375 0.00 G k 12376 R 12377 R 12378 12379 S 12380 6168 -2114 M 12381 /Symbol F 900 o f 12382 (\267) h 12383 R 12384 12385 S 12386 6428 -3104 M 12387 /Symbol F 900 o f 12388 (\267) h 12389 R 12390 12391 S 12392 10348 -8419 M 12393 /Symbol F 900 o f 12394 (\267) h 12395 R 12396 12397 S 12398 13282 -8419 M 12399 /Symbol F 900 o f 12400 (\267) h 12401 R 12402 12403 S 12404 N 12405 11132.00 -8532.00 M 12406 12239.00 -6798.00 L 12407 12239.00 -5180.00 L 12408 S 12409 50 w 12410 0 c 12411 0 j 12412 2 i 12413 0.00 G k 12414 R 12415 R 12416 S 12417 N 12418 12493.00 -5665.00 M 12419 12239.00 -5121.00 L 12420 11986.00 -5665.00 L 12421 S 12422 50 w 12423 0 c 12424 0 j 12425 2 i 12426 0.00 G k 12427 R 12428 R 12429 12430 S 12431 N 12432 6561.00 -2831.00 M 12433 8194.00 -4069.00 L 12434 9512.00 -4069.00 L 12435 S 12436 50 w 12437 0 c 12438 0 j 12439 2 i 12440 0.00 G k 12441 R 12442 R 12443 S 12444 N 12445 9028.00 -4323.00 M 12446 9571.00 -4069.00 L 12447 9028.00 -3816.00 L 12448 S 12449 50 w 12450 0 c 12451 0 j 12452 2 i 12453 0.00 G k 12454 R 12455 R 12456 12457 S 12458 10998 -8638 M 12459 /Symbol F 900 o f 12460 (\267) h 12461 R 12462 12463 S 12464 18883 -10330 M 12465 /Times-Roman-ISOLatin1 F 1000 o f 12466 (Compressed ) h 12467 R 12468 12469 S 12470 18733 -11395 M 12471 /Times-Roman-ISOLatin1 F 900 o f 12472 ( ) h 12473 n 1.111 o f 12474 (Image Data) h 12475 R 12476 12477 S 12478 5462 -14680 M 12479 /Times-Roman-ISOLatin1 F 1000 o f 12480 (Figure 9. Component\255Interleave and ) h 12481 R 12482 12483 S 12484 3777 -10330 M 12485 /Times-Roman-ISOLatin1 F 1000 o f 12486 (Source ) h 12487 R 12488 12489 S 12490 2549 -11395 M 12491 /Times-Roman-ISOLatin1 F 900 o f 12492 ( ) h 12493 n 1.111 o f 12494 (Image Data) h 12495 R 12496 12497 S 12498 8745 -11663 M 12499 /Times-Roman-ISOLatin1 F 1000 o f 12500 (Spec. 1 ) h 12501 R 12502 12503 S 12504 12506 -11661 M 12505 /Times-Roman-ISOLatin1 F 1000 o f 12506 (Spec. 2) h 12507 R 12508 12509 S 12510 6168 -4371 M 12511 /Symbol F 900 o f 12512 (\267) h 12513 R 12514 12515 S 12516 6102 -6632 M 12517 /Symbol F 900 o f 12518 (\267) h 12519 R 12520 12521 S 12522 8427 -12096 3233 2419 @ 12523 S 12524 50 w 12525 0 c 12526 0 j 12527 2 i 12528 0.00 G k 12529 R 12530 R 12531 12532 S 12533 9584 -15926 M 12534 /Times-Roman-ISOLatin1 F 1000 o f 12535 (Table\255Switching Control) h 12536 R 12537 12538 R 12539 12540 12541 R 12542 R 12543 12544 S 12545 31919 -7157 T 12546 N 12547 0 G 12548 300 -1050 M 12549 /Times-Roman-ISOLatin1 F 1000 o f 12550 41.5 0 32 (Baseline sequential was defined, the committee's VLSI) W 12551 300 -2150 M 12552 43.6 0 32 (experts felt that current technology made the feasibility) W 12553 300 -3250 M 12554 126.6 0 32 (of crowding four sets of loadable Huffman tables \255 in) W 12555 300 -4350 M 12556 231.2 0 32 (addition to four sets of Quantization tables \255 onto a) W 12557 300 -5450 M 12558 983.0 0 32 (single commodity\255priced codec chip a risky) W 12559 300 -6550 M 12560 (proposition.) h 12561 300 -7650 M 12562 300 -8750 M 12563 41.7 0 32 (The FDCT, Quantization, DC differencing, and zig\255zag) W 12564 300 -9850 M 12565 231.3 0 32 (ordering processing steps for the Baseline sequential) W 12566 300 -10950 M 12567 119.4 0 32 (codec proceed just as described in section 4. Prior to) W 12568 300 -12050 M 12569 341.4 0 32 (entropy coding, there usually are few nonzero and) W 12570 300 -13150 M 12571 254.1 0 32 (many zero\255valued coefficients. The task of entropy) W 12572 300 -14250 M 12573 158.9 0 32 (coding is to encode these few coefficients efficiently. ) W 12574 300 -15350 M 12575 138.7 0 32 (The description of Baseline sequential entropy coding) W 12576 300 -16450 M 12577 46.0 0 32 (is given in two steps: conversion of the quantized DCT) W 12578 300 -17550 M 12579 157.3 0 32 (coefficients into an intermediate sequence of symbols) W 12580 300 -18650 M 12581 638.7 0 32 (and assignment of variable\255length codes to the) W 12582 300 -19750 M 12583 (symbols.) h 12584 300 -20850 M 12585 300 -21950 M 12586 /Times-Bold-ISOLatin1 F 1000 o f 12587 (7.1 Intermediate Entropy Coding Representations) h 12588 300 -23650 M 12589 /Times-Roman-ISOLatin1 F 1000 o f 12590 47.7 0 32 (In the intermediate symbol sequence, each nonzero AC) W 12591 300 -24750 M 12592 435.0 0 32 (coefficient is represented in combination with the) W 12593 300 -25850 M 12594 128.2 0 32 (``runlength'' \(consecutive number\) of zero\255valued AC) W 12595 300 -26950 M 12596 151.1 0 32 (coefficients which precede it in the zig\255zag sequence. ) W 12597 300 -28050 M 12598 (Each such runlength/nonzero\255coefficient combination is) h 12599 300 -29150 M 12600 (\(usually\) represented by a pair of symbols:) h 12601 300 -30250 M 12602 300 -31350 M 12603 5120 -31350 M 12604 (symbol\2551) h 12605 15387 -31350 M 12606 (symbol\2552) h 12607 300 -32450 M 12608 2316 -32450 M 12609 (\(RUNLENGTH, SIZE\)) h 12610 14055 -32450 M 12611 (\(AMPLITUDE\)) h 12612 300 -33550 M 12613 300 -34650 M 12614 677.4 0 32 (Symbol\2551 represents two pieces of information, ) W 12615 300 -35750 M 12616 410.8 0 32 (RUNLENGTH and SIZE. Symbol\2552 represents the) W 12617 300 -36850 M 12618 166.4 0 32 (single piece of information designated AMPLITUDE,) W 12619 300 -37950 M 12620 339.9 0 32 (which is simply the amplitude of the nonzero AC) W 12621 300 -39050 M 12622 955.4 0 32 (coefficient. RUNLENGTH is the number of) W 12623 300 -40150 M 12624 83.7 0 32 (consecutive zero\255valued AC coefficients in the zig\255zag) W 12625 300 -41250 M 12626 167.0 0 32 (sequence preceding the nonzero AC coefficient being) W 12627 300 -42350 M 12628 61.7 0 32 (represented. SIZE is the number of bits used to encode) W 12629 300 -43450 M 12630 194.1 0 32 (AMPLITUDE \255 that is, to encoded symbol\2552, by the) W 12631 300 -44550 M 12632 272.0 0 32 (signed\255integer encoding used with JPEG's particular) W 12633 300 -45650 M 12634 (method of Huffman coding. ) h 12635 300 -46750 M 12636 300 -47850 M 12637 127.0 0 32 (RUNLENGTH represents zero\255runs of length 0 to 15.) W 12638 300 -48950 M 12639 35.3 0 32 (Actual zero\255runs in the zig\255zag sequence can be greater) W 12640 300 -50050 M 12641 66.5 0 32 (than 15, so the symbol\2551 value \(15, 0\) is interpreted as) W 12642 300 -51150 M 12643 85.9 0 32 (the extension symbol with runlength=16. There can be) W 12644 300 -52250 M 12645 191.0 0 32 (up to three consecutive \(15, 0\) extensions before the) W 12646 300 -53350 M 12647 555.0 0 32 (terminating symbol\2551 whose RUNLENGTH value) W 12648 300 -54450 M 12649 655.2 0 32 (completes the actual runlength. The terminating) W 12650 300 -55550 M 12651 293.1 0 32 (symbol\2551 is always followed by a single symbol\2552,) W 12652 300 -56650 M 12653 311.2 0 32 (except for the case in which the last run of zeros) W 12654 300 -57750 M 12655 100.6 0 32 (includes the last \(63d\) AC coefficient. In this frequent) W 12656 300 -58850 M 12657 34.8 0 32 (case, the special symbol\2551 value \(0,0\) means EOB \(end) W 12658 300 -59950 M 12659 129.9 0 32 (of block\), and can be viewed as an ``escape'' symbol) W 12660 300 -61050 M 12661 (which terminates the 8x8 sample block.) h 12662 300 -62150 M 12663 -31919 7157 T 12664 R 12665 12666 S 12667 30392 -75162 M 12668 /Times-Roman-ISOLatin1 F 1000 o f 12669 (10) h 12670 R 12671 12672 showpage 12673 $P e 12674 12675 %%Page: 11 11 12676 /$P a D 12677 g N 12678 0 79200 T 12679 S 12680 R 12681 S 12682 6328 -7185 T 12683 N 12684 0 G 12685 300 -1050 M 12686 /Times-Roman-ISOLatin1 $ 12687 /Times-Roman & P 12688 /Times-Roman-ISOLatin1 F 1000 o f 12689 375.0 0 32 (Thus, for each 8x8 block of samples, the zig\255zag) W 12690 300 -2150 M 12691 805.5 0 32 (sequence of 63 quantized AC coefficients is) W 12692 300 -3250 M 12693 458.3 0 32 (represented as a sequence of symbol\2551, symbol\2552) W 12694 300 -4350 M 12695 79.4 0 32 (symbol pairs, though each ``pair'' can have repetitions) W 12696 300 -5450 M 12697 7.5 0 32 (of symbol\2551 in the case of a long run\255length or only one) W 12698 300 -6550 M 12699 (symbol\2551 in the case of an EOB.) h 12700 300 -7650 M 12701 300 -8750 M 12702 518.5 0 32 (The possible range of quantized AC coefficients) W 12703 300 -9850 M 12704 575.3 0 32 (determines the range of values which both the) W 12705 300 -10950 M 12706 793.8 0 32 (AMPLITUDE and the SIZE information must) W 12707 300 -12050 M 12708 388.7 0 32 (represent. A numerical analysis of the 8x8 FDCT) W 12709 300 -13150 M 12710 135.0 0 32 (equation shows that, if the 64\255point \(8x8 block\) input) W 12711 300 -14250 M 12712 235.8 0 32 (signal contains N\255bit integers, then the nonfractional) W 12713 300 -15350 M 12714 7.0 0 32 (part of the output numbers \(DCT coefficients\) can grow) W 12715 300 -16450 M 12716 95.5 0 32 (by at most 3 bits. This is also the largest possible size) W 12717 300 -17550 M 12718 69.5 0 32 (of a quantized DCT coefficient when its quantizer step) W 12719 300 -18650 M 12720 (size has integer value 1.) h 12721 300 -19750 M 12722 300 -20850 M 12723 83.1 0 32 (Baseline sequential has 8\255bit integer source samples in) W 12724 300 -21950 M 12725 381.9 0 32 (the range [\2552) W 12726 n 0.800 o f 12727 0.0 448.0 m 12728 381.9 0 32 (7) W 12729 0 -448.0 m 12730 n 1.250 o f 12731 381.9 0 32 (, 2) W 12732 n 0.800 o f 12733 0.0 448.0 m 12734 381.9 0 32 (7) W 12735 0 -448.0 m 12736 n 1.250 o f 12737 381.9 0 32 (\2551], so quantized AC coefficient) W 12738 300 -23050 M 12739 132.8 0 32 (amplitudes are covered by integers in the range [\2552) W 12740 n 0.800 o f 12741 0.0 448.0 m 12742 132.8 0 32 (10) W 12743 0 -448.0 m 12744 n 1.250 o f 12745 132.8 0 32 (,) W 12746 300 -24150 M 12747 406.4 0 32 (2) W 12748 n 0.800 o f 12749 0.0 448.0 m 12750 406.4 0 32 (10) W 12751 0 -448.0 m 12752 n 1.250 o f 12753 406.4 0 32 (\2551]. The signed\255integer encoding uses symbol\2552) W 12754 300 -25250 M 12755 71.9 0 32 (AMPLITUDE codes of 1 to 10 bits in length \(so SIZE) W 12756 300 -26350 M 12757 888.7 0 32 (also represents values from 1 to 10\), and) W 12758 300 -27450 M 12759 416.6 0 32 (RUNLENGTH represents values from 0 to 15 as) W 12760 300 -28550 M 12761 36.8 0 32 (discussed previously. For AC coefficients, the structure) W 12762 300 -29650 M 12763 1027.2 0 32 (of the symbol\2551 and symbol\2552 intermediate) W 12764 300 -30750 M 12765 547.3 0 32 (representations is illustrated in Tables 2 and 3,) W 12766 300 -31850 M 12767 (respectively.) h 12768 300 -32950 M 12769 300 -34050 M 12770 379.7 0 32 (The intermediate representation for an 8x8 sample) W 12771 300 -35150 M 12772 694.4 0 32 (block's differential DC coefficient is structured) W 12773 300 -36250 M 12774 310.6 0 32 (similarly. Symbol\2551, however, represents only SIZE) W 12775 300 -37350 M 12776 1027.0 0 32 (information; symbol\2552 represents AMPLITUDE) W 12777 300 -38450 M 12778 (information as before:) h 12779 300 -39550 M 12780 300 -40650 M 12781 3437 -40650 M 12782 (symbol\2551) h 12783 13467 -40650 M 12784 (symbol\2552) h 12785 300 -41750 M 12786 3938 -41750 M 12787 (\(SIZE\)) h 12788 12135 -41750 M 12789 (\(AMPLITUDE\)) h 12790 300 -42850 M 12791 300 -43950 M 12792 63.6 0 32 (Because the DC coefficient is differentially encoded, it) W 12793 300 -45050 M 12794 323.6 0 32 (is covered by twice as many integer values, [\2552) W 12795 n 0.800 o f 12796 0.0 448.0 m 12797 323.6 0 32 (11) W 12798 0 -448.0 m 12799 n 1.250 o f 12800 323.6 0 32 (,) W 12801 300 -46150 M 12802 167.3 0 32 (2) W 12803 n 0.800 o f 12804 0.0 448.0 m 12805 167.3 0 32 (11) W 12806 0 -448.0 m 12807 n 1.250 o f 12808 167.3 0 32 (\2551] as the AC coefficients, so one additional level) W 12809 300 -47250 M 12810 366.4 0 32 (must be added to the bottom of Table 3 for DC) W 12811 300 -48350 M 12812 688.6 0 32 (coefficients. Symbol\2551 for DC coefficients thus) W 12813 300 -49450 M 12814 (represents a value from 1 to 11.) h 12815 -6328 7185 T 12816 S 12817 N 12818 S 12819 6152 -71270 23393 14285 @ I N 12820 6152 -56985 T 12821 N 12822 S 12823 9077 -3333 M 12824 /Times-Roman-ISOLatin1 F 1100 o f 12825 (0 1 2 . . . 9 10) h 12826 R 12827 12828 12829 12830 S 12831 1502 -7064 M 12832 /Times-Roman-ISOLatin1 F 1100 o f 12833 (RUN) h 12834 R 12835 12836 S 12837 6918 -4947 M 12838 /Times-Roman-ISOLatin1 F 1100 o f 12839 (0) h 12840 R 12841 12842 S 12843 6918 -6258 M 12844 /Times-Roman-ISOLatin1 F 1100 o f 12845 (.) h 12846 R 12847 12848 S 12849 6918 -7568 M 12850 /Times-Roman-ISOLatin1 F 1100 o f 12851 (.) h 12852 R 12853 12854 S 12855 6918 -8879 M 12856 /Times-Roman-ISOLatin1 F 1100 o f 12857 (.) h 12858 R 12859 12860 S 12861 6918 -10191 M 12862 /Times-Roman-ISOLatin1 F 1100 o f 12863 (15) h 12864 R 12865 12866 S 12867 9122 -6258 M 12868 /Times-Roman-ISOLatin1 F 1100 o f 12869 (X) h 12870 R 12871 12872 S 12873 9122 -7568 M 12874 /Times-Roman-ISOLatin1 F 1100 o f 12875 (X) h 12876 R 12877 12878 S 12879 9122 -8879 M 12880 /Times-Roman-ISOLatin1 F 1100 o f 12881 (X) h 12882 R 12883 12884 S 12885 8548 -4947 M 12886 /Times-Roman-ISOLatin1 F 1100 o f 12887 (EOB) h 12888 R 12889 12890 S 12891 8548 -10191 M 12892 /Times-Roman-ISOLatin1 F 1100 o f 12893 (ZRL) h 12894 R 12895 12896 S 12897 13199 -7064 M 12898 /Times-Roman-ISOLatin1 F 1100 o f 12899 (RUN\255SIZE) h 12900 R 12901 12902 S 12903 14061 -8071 M 12904 /Times-Roman-ISOLatin1 F 1100 o f 12905 (values) h 12906 R 12907 12908 S 12909 1502 -8071 M 12910 /Times-Roman-ISOLatin1 F 1100 o f 12911 (LENGTH) h 12912 R 12913 12914 S 12915 1166 -10594 20612 9500 @ 12916 S 12917 50 w 12918 0 c 12919 0 j 12920 2 i 12921 0.00 G k 12922 R 12923 R 12924 12925 S 12926 N 12927 1213.00 -3787.00 M 12928 21826.00 -3787.00 L 12929 S 12930 50 w 12931 0 c 12932 0 j 12933 2 i 12934 0.00 G k 12935 R 12936 R 12937 12938 S 12939 4762 -12349 M 12940 /Times-Roman-ISOLatin1 F 1000 o f 12941 (Table 2. Baseline Huffman Coding) h 12942 R 12943 12944 S 12945 8693 -13669 M 12946 /Times-Roman-ISOLatin1 F 1000 o f 12947 (Symbol\2551 Structure ) h 12948 R 12949 12950 S 12951 15084 -2303 M 12952 /Times-Roman-ISOLatin1 F 1100 o f 12953 (SIZE) h 12954 R 12955 12956 S 12957 N 12958 6215.00 -1174.00 M 12959 6215.00 -10570.00 L 12960 S 12961 75 w 12962 0 c 12963 0 j 12964 2 i 12965 0.00 G k 12966 R 12967 R 12968 12969 R 12970 12971 12972 R 12973 R 12974 12975 S 12976 31919 -7195 T 12977 N 12978 0 G 12979 300 -1050 M 12980 /Times-Bold-ISOLatin1 $ 12981 /Times-Bold & P 12982 /Times-Bold-ISOLatin1 F 1000 o f 12983 (7.2 Variable\255Length Entropy Coding) h 12984 300 -2750 M 12985 /Times-Roman-ISOLatin1 F 1000 o f 12986 58.8 0 32 (Once the quantized coefficient data for an 8x8 block is) W 12987 300 -3850 M 12988 594.4 0 32 (represented in the intermediate symbol sequence) W 12989 300 -4950 M 12990 294.8 0 32 (described above, variable\255length codes are assigned. ) W 12991 300 -6050 M 12992 52.0 0 32 (For each 8x8 block, the DC coefficient's symbol\2551 and) W 12993 300 -7150 M 12994 (symbol\2552 representation is coded and output first.) h 12995 300 -8250 M 12996 300 -9350 M 12997 232.4 0 32 (For both DC and AC coefficients, each symbol\2551 is) W 12998 300 -10450 M 12999 194.6 0 32 (encoded with a variable\255length code \(VLC\) from the) W 13000 300 -11550 M 13001 180.4 0 32 (Huffman table set assigned to the 8x8 block's image) W 13002 300 -12650 M 13003 571.1 0 32 (component. Each symbol\2552 is encoded with a) W 13004 300 -13750 M 13005 194.7 0 32 (\026) W 13006 194.7 0 32 (variable\255length integer) W 13007 194.7 0 32 (\027) W 13008 194.7 0 32 ( \(VLI\) code whose length in) W 13009 300 -14850 M 13010 11.4 0 32 (bits is given in Table 3. VLCs and VLIs both are codes) W 13011 300 -15950 M 13012 41.6 0 32 (with variable lengths, but VLIs are not Huffman codes. ) W 13013 300 -17050 M 13014 187.8 0 32 (An important distinction is that the length of a VLC) W 13015 300 -18150 M 13016 160.2 0 32 (\(Huffman code\) is not known until it is decoded, but) W 13017 300 -19250 M 13018 (the length of a VLI is stored in its preceding VLC.) h 13019 300 -20350 M 13020 300 -21450 M 13021 59.6 0 32 (Huffman codes \(VLCs\) must be specified externally as) W 13022 300 -22550 M 13023 235.9 0 32 (an input to JPEG encoders. \(Note that the form in) W 13024 300 -23650 M 13025 401.0 0 32 (which Huffman tables are represented in the data) W 13026 300 -24750 M 13027 400.6 0 32 (stream is an indirect specification with which the) W 13028 300 -25850 M 13029 170.4 0 32 (decoder must construct the tables themselves prior to) W 13030 300 -26950 M 13031 467.3 0 32 (decompression.\) The JPEG proposal includes an) W 13032 300 -28050 M 13033 10.3 0 32 (example set of Huffman tables in its information annex,) W 13034 300 -29150 M 13035 227.0 0 32 (but because they are application\255specific, it specifies) W 13036 300 -30250 M 13037 100.2 0 32 (none for required use. The VLI codes in contrast, are) W 13038 300 -31350 M 13039 289.6 0 32 (\026) W 13040 289.6 0 32 (hardwired) W 13041 289.6 0 32 (\027) W 13042 289.6 0 32 ( into the proposal. This is appropriate,) W 13043 300 -32450 M 13044 105.3 0 32 (because the VLI codes are far more numerous, can be) W 13045 300 -33550 M 13046 79.9 0 32 (computed rather than stored, and have not been shown) W 13047 300 -34650 M 13048 99.3 0 32 (to be appreciably more efficient when implemented as) W 13049 300 -35750 M 13050 (Huffman codes.) h 13051 300 -36850 M 13052 300 -37950 M 13053 /Times-Bold-ISOLatin1 F 1000 o f 13054 (7.3 Baseline Encoding Example) h 13055 300 -39650 M 13056 /Times-Roman-ISOLatin1 F 1000 o f 13057 43.4 0 32 (This section gives an example of Baseline compression) W 13058 300 -40750 M 13059 47.1 0 32 (and encoding of a single 8x8 sample block. Note that a) W 13060 300 -41850 M 13061 3.0 0 32 (good deal of the operation of a complete JPEG Baseline) W 13062 300 -42950 M 13063 708.2 0 32 (encoder is omitted here, including creation of) W 13064 300 -44050 M 13065 208.8 0 32 (Interchange Format information \(parameters, headers,) W 13066 300 -45150 M 13067 777.5 0 32 (quantization and Huffman tables\), byte\255stuffing,) W 13068 300 -46250 M 13069 52.1 0 32 (padding to byte\255boundaries prior to a marker code, and) W 13070 300 -47350 M 13071 64.5 0 32 (other key operations. Nonetheless, this example should) W 13072 300 -48450 M 13073 638.9 0 32 (help to make concrete much of the foregoing) W 13074 300 -49550 M 13075 (explanation.) h 13076 300 -50650 M 13077 300 -51750 M 13078 524.0 0 32 (Figure 10\(a\) is an 8x8 block of 8\255bit samples,) W 13079 300 -52850 M 13080 389.0 0 32 (aribtrarily extracted from a real image. The small) W 13081 300 -53950 M 13082 703.3 0 32 (variations from sample to sample indicate the) W 13083 300 -55050 M 13084 722.4 0 32 (predominance of low spatial frequencies. After) W 13085 300 -56150 M 13086 345.3 0 32 (subtracting 128 from each sample for the required) W 13087 300 -57250 M 13088 457.8 0 32 (level\255shift, the 8x8 block is input to the FDCT,) W 13089 300 -58350 M 13090 17.4 0 32 (equation \(1\). Figure 10\(b\) shows \(to one decimal place\)) W 13091 300 -59450 M 13092 68.0 0 32 (the resulting DCT coefficients. Except for a few of the) W 13093 300 -60550 M 13094 97.3 0 32 (lowest frequency coefficients, the amplitudes are quite) W 13095 300 -61650 M 13096 (small.) h 13097 300 -62750 M 13098 -31919 7195 T 13099 R 13100 13101 S 13102 30392 -75642 M 13103 /Times-Roman-ISOLatin1 F 1000 o f 13104 (11) h 13105 R 13106 13107 showpage 13108 $P e 13109 13110 %%Page: 12 12 13111 /$P a D 13112 g N 13113 0 79200 T 13114 S 13115 S 13116 7200 -2700 T 13117 N 13118 0 G 13119 300 -1200 M 13120 -7200 2700 T 13121 R 13122 13123 S 13124 7200 -74700 T 13125 N 13126 0 G 13127 300 -1200 M 13128 -7200 74700 T 13129 R 13130 13131 R 13132 S 13133 7070 -42751 T 13134 N 13135 0 G 13136 300 -1050 M 13137 /Times-Roman-ISOLatin1 $ 13138 /Times-Roman & P 13139 /Times-Roman-ISOLatin1 F 1000 o f 13140 236.4 0 32 (Figure 10\(c\) is the example quantization table for) W 13141 300 -2150 M 13142 264.4 0 32 (luminance \(grayscale\) components included in the) W 13143 300 -3250 M 13144 101.6 0 32 (informational annex of the draft JPEG standard part) W 13145 300 -4350 M 13146 486.3 0 32 (1 [2]. Figure 10\(d\) shows the quantized DCT) W 13147 300 -5450 M 13148 214.4 0 32 (coefficients, normalized by their quantization table) W 13149 300 -6550 M 13150 106.4 0 32 (entries, as specified by equation \(3\). At the decoder) W 13151 300 -7650 M 13152 487.0 0 32 (these numbers are ) W 13153 487.0 0 32 (\026) W 13154 487.0 0 32 (denormalized) W 13155 487.0 0 32 (\027) W 13156 487.0 0 32 ( according to) W 13157 300 -8750 M 13158 206.8 0 32 (equation \(4\), and input to the IDCT, equation \(2\).) W 13159 300 -9850 M 13160 90.7 0 32 (Finally, figure 10\(f\) shows the reconstructed sample) W 13161 300 -10950 M 13162 (values, remarkably similar to the originals in 10\(a\). ) h 13163 300 -12050 M 13164 300 -13150 M 13165 331.9 0 32 (Of course, the numbers in figure 10\(d\) must be) W 13166 300 -14250 M 13167 893.0 0 32 (Huffman\255encoded before transmission to the) W 13168 300 -15350 M 13169 26.7 0 32 (decoder. The first number of the block to be encoded) W 13170 300 -16450 M 13171 541.7 0 32 (is the DC term, which must be differentially) W 13172 300 -17550 M 13173 172.3 0 32 (encoded. If the quantized DC term of the previous) W 13174 300 -18650 M 13175 115.1 0 32 (block is, for example, 12, then the difference is +3.) W 13176 300 -19750 M 13177 234.3 0 32 (Thus, the intermediate representation is \(2\)\(3\), for) W 13178 300 -20850 M 13179 (SIZE=2 and AMPLITUDE=3.) h 13180 300 -21950 M 13181 300 -23050 M 13182 46.3 0 32 (Next, the the quantized AC coefficients are encoded.) W 13183 300 -24150 M 13184 488.8 0 32 (Following the zig\255zag order, the first non\255zero) W 13185 300 -25250 M 13186 153.3 0 32 (coefficient is \2552, preceded by a zero\255run of 1. This) W 13187 300 -26350 M 13188 342.4 0 32 (yields an intermediate representation of \(1,2\)\(\2552\).) W 13189 300 -27450 M 13190 371.9 0 32 (Next encountered in the zig\255zag order are three) W 13191 300 -28550 M 13192 174.0 0 32 (consecutive non\255zeros of amplitude \2551. This means) W 13193 -7070 42751 T 13194 R 13195 13196 S 13197 32037 -42745 T 13198 N 13199 0 G 13200 300 -1050 M 13201 /Times-Roman-ISOLatin1 F 1000 o f 13202 200.0 0 32 (each is preceded by a zero\255run of length zero, for) W 13203 300 -2150 M 13204 342.6 0 32 (intermediate symbols \(0,1\)\(\2551\). The last non\255zero) W 13205 300 -3250 M 13206 47.9 0 32 (coefficient is \2551 preceded by two zeros, for \(2,1\)\(\2551\).) W 13207 300 -4350 M 13208 33.6 0 32 (Because this is the last non\255zero coefficient, the final) W 13209 300 -5450 M 13210 (symbol representing this 8x8 block is EOB, or \(0,0\).) h 13211 300 -6550 M 13212 300 -7650 M 13213 113.6 0 32 (Thus, the intermediate sequence of symbols for this) W 13214 300 -8750 M 13215 (example 8x8 block is: ) h 13216 300 -9850 M 13217 2100 -10950 M 13218 (\(2\)\(3\), \(1,2\)\(\2552\), \(0,1\)\(\2551\), \(0,1\)\(\2551\),) h 13219 2100 -12050 M 13220 (\(0,1\)\(\2551\), \(2,1\)\(\2551\), \(0,0\)) h 13221 2100 -13150 M 13222 300 -14250 M 13223 19.4 0 32 (Next the codes themselves must be assigned. For this) W 13224 300 -15350 M 13225 498.5 0 32 (example, the VLCs \(Huffman codes\) from the) W 13226 300 -16450 M 13227 534.3 0 32 (informational annex of [2] will be used. The) W 13228 300 -17550 M 13229 (differential\255DC VLC for this example is: ) h 13230 300 -18650 M 13231 2100 -19750 M 13232 ( \(2\)) h 13233 5744 -19750 M 13234 ( 011) h 13235 300 -20850 M 13236 300 -21950 M 13237 (The AC luminance VLCs for this example are:) h 13238 300 -23050 M 13239 2100 -24150 M 13240 (\(0,0\)) h 13241 5763 -24150 M 13242 (1010) h 13243 2100 -25250 M 13244 (\(0,1\)) h 13245 5763 -25250 M 13246 (00) h 13247 2100 -26350 M 13248 (\(1,2\) ) h 13249 5763 -26350 M 13250 (11011) h 13251 2100 -27450 M 13252 (\(2,1\)) h 13253 5763 -27450 M 13254 (11100) h 13255 300 -28550 M 13256 -32037 42745 T 13257 R 13258 13259 S 13260 7094 -5224 T 13261 N 13262 S 13263 0 -39599 46978 39599 @ 13264 R 13265 0 G 13266 300 -1050 M 13267 300 -38493 M 13268 S 13269 0 -39599 46978 39599 @ 13270 R 13271 -7094 5224 T 13272 S 13273 N 13274 S 13275 5226 -42671 50715 36047 @ I N 13276 5226 -6624 T 13277 N 13278 S 13279 1666 -2062 M 13280 /Times-Roman-ISOLatin1 F 800 o f 13281 (139) h 13282 R 13283 13284 13285 13286 S 13287 1666 -3662 M 13288 /Times-Roman-ISOLatin1 F 800 o f 13289 (144) h 13290 R 13291 13292 S 13293 1666 -5261 M 13294 /Times-Roman-ISOLatin1 F 800 o f 13295 (150) h 13296 R 13297 13298 S 13299 1666 -6778 M 13300 /Times-Roman-ISOLatin1 F 800 o f 13301 (159) h 13302 R 13303 13304 S 13305 1666 -8380 M 13306 /Times-Roman-ISOLatin1 F 800 o f 13307 (159) h 13308 R 13309 13310 S 13311 1666 -9980 M 13312 /Times-Roman-ISOLatin1 F 800 o f 13313 (161) h 13314 R 13315 13316 S 13317 1666 -11579 M 13318 /Times-Roman-ISOLatin1 F 800 o f 13319 (162) h 13320 R 13321 13322 S 13323 1666 -13095 M 13324 /Times-Roman-ISOLatin1 F 800 o f 13325 (162) h 13326 R 13327 13328 S 13329 3635 -2062 M 13330 /Times-Roman-ISOLatin1 F 800 o f 13331 (144) h 13332 R 13333 13334 S 13335 5536 -2062 M 13336 /Times-Roman-ISOLatin1 F 800 o f 13337 (149) h 13338 R 13339 13340 S 13341 7438 -2062 M 13342 /Times-Roman-ISOLatin1 F 800 o f 13343 (153) h 13344 R 13345 13346 S 13347 9408 -2062 M 13348 /Times-Roman-ISOLatin1 F 800 o f 13349 (155) h 13350 R 13351 13352 S 13353 11242 -2062 M 13354 /Times-Roman-ISOLatin1 F 800 o f 13355 (155) h 13356 R 13357 13358 S 13359 13143 -2062 M 13360 /Times-Roman-ISOLatin1 F 800 o f 13361 (155) h 13362 R 13363 13364 S 13365 15045 -2062 M 13366 /Times-Roman-ISOLatin1 F 800 o f 13367 (155) h 13368 R 13369 13370 S 13371 3635 -3662 M 13372 /Times-Roman-ISOLatin1 F 800 o f 13373 (151) h 13374 R 13375 13376 S 13377 3635 -5261 M 13378 /Times-Roman-ISOLatin1 F 800 o f 13379 (155) h 13380 R 13381 13382 S 13383 3635 -6778 M 13384 /Times-Roman-ISOLatin1 F 800 o f 13385 (161) h 13386 R 13387 13388 S 13389 3635 -8380 M 13390 /Times-Roman-ISOLatin1 F 800 o f 13391 (160) h 13392 R 13393 13394 S 13395 3635 -9980 M 13396 /Times-Roman-ISOLatin1 F 800 o f 13397 (161) h 13398 R 13399 13400 S 13401 3635 -11579 M 13402 /Times-Roman-ISOLatin1 F 800 o f 13403 (162) h 13404 R 13405 13406 S 13407 3635 -13095 M 13408 /Times-Roman-ISOLatin1 F 800 o f 13409 (162) h 13410 R 13411 13412 S 13413 5536 -3750 M 13414 /Times-Roman-ISOLatin1 F 800 o f 13415 (153) h 13416 R 13417 13418 S 13419 5536 -5261 M 13420 /Times-Roman-ISOLatin1 F 800 o f 13421 (160) h 13422 R 13423 13424 S 13425 5536 -6779 M 13426 /Times-Roman-ISOLatin1 F 800 o f 13427 (162) h 13428 R 13429 13430 S 13431 5536 -8296 M 13432 /Times-Roman-ISOLatin1 F 800 o f 13433 (161) h 13434 R 13435 13436 S 13437 5536 -9982 M 13438 /Times-Roman-ISOLatin1 F 800 o f 13439 (161) h 13440 R 13441 13442 S 13443 5536 -11581 M 13444 /Times-Roman-ISOLatin1 F 800 o f 13445 (161) h 13446 R 13447 13448 S 13449 5536 -13096 M 13450 /Times-Roman-ISOLatin1 F 800 o f 13451 (161) h 13452 R 13453 13454 S 13455 7438 -3662 M 13456 /Times-Roman-ISOLatin1 F 800 o f 13457 (156) h 13458 R 13459 13460 S 13461 7438 -5261 M 13462 /Times-Roman-ISOLatin1 F 800 o f 13463 (163) h 13464 R 13465 13466 S 13467 7438 -6779 M 13468 /Times-Roman-ISOLatin1 F 800 o f 13469 (160) h 13470 R 13471 13472 S 13473 7438 -8381 M 13474 /Times-Roman-ISOLatin1 F 800 o f 13475 (162) h 13476 R 13477 13478 S 13479 7438 -9898 M 13480 /Times-Roman-ISOLatin1 F 800 o f 13481 (161) h 13482 R 13483 13484 S 13485 7438 -11581 M 13486 /Times-Roman-ISOLatin1 F 800 o f 13487 (163) h 13488 R 13489 13490 S 13491 7438 -13096 M 13492 /Times-Roman-ISOLatin1 F 800 o f 13493 (161) h 13494 R 13495 13496 S 13497 9408 -3662 M 13498 /Times-Roman-ISOLatin1 F 800 o f 13499 (159) h 13500 R 13501 13502 S 13503 9408 -5262 M 13504 /Times-Roman-ISOLatin1 F 800 o f 13505 (158) h 13506 R 13507 13508 S 13509 9408 -6779 M 13510 /Times-Roman-ISOLatin1 F 800 o f 13511 (160) h 13512 R 13513 13514 S 13515 9408 -8381 M 13516 /Times-Roman-ISOLatin1 F 800 o f 13517 (162) h 13518 R 13519 13520 S 13521 9408 -9982 M 13522 /Times-Roman-ISOLatin1 F 800 o f 13523 (160) h 13524 R 13525 13526 S 13527 9408 -11581 M 13528 /Times-Roman-ISOLatin1 F 800 o f 13529 (162) h 13530 R 13531 13532 S 13533 9408 -13096 M 13534 /Times-Roman-ISOLatin1 F 800 o f 13535 (163) h 13536 R 13537 13538 S 13539 11242 -3662 M 13540 /Times-Roman-ISOLatin1 F 800 o f 13541 (156) h 13542 R 13543 13544 S 13545 11242 -5262 M 13546 /Times-Roman-ISOLatin1 F 800 o f 13547 (156) h 13548 R 13549 13550 S 13551 11242 -6781 M 13552 /Times-Roman-ISOLatin1 F 800 o f 13553 (159) h 13554 R 13555 13556 S 13557 11242 -8381 M 13558 /Times-Roman-ISOLatin1 F 800 o f 13559 (155) h 13560 R 13561 13562 S 13563 11242 -9982 M 13564 /Times-Roman-ISOLatin1 F 800 o f 13565 (157) h 13566 R 13567 13568 S 13569 11242 -11582 M 13570 /Times-Roman-ISOLatin1 F 800 o f 13571 (157) h 13572 R 13573 13574 S 13575 11242 -13013 M 13576 /Times-Roman-ISOLatin1 F 800 o f 13577 (158) h 13578 R 13579 13580 S 13581 13143 -3662 M 13582 /Times-Roman-ISOLatin1 F 800 o f 13583 (156) h 13584 R 13585 13586 S 13587 13143 -5262 M 13588 /Times-Roman-ISOLatin1 F 800 o f 13589 (156) h 13590 R 13591 13592 S 13593 13143 -6779 M 13594 /Times-Roman-ISOLatin1 F 800 o f 13595 (159) h 13596 R 13597 13598 S 13599 13143 -8381 M 13600 /Times-Roman-ISOLatin1 F 800 o f 13601 (155) h 13602 R 13603 13604 S 13605 13143 -9981 M 13606 /Times-Roman-ISOLatin1 F 800 o f 13607 (157) h 13608 R 13609 13610 S 13611 13143 -11581 M 13612 /Times-Roman-ISOLatin1 F 800 o f 13613 (157) h 13614 R 13615 13616 S 13617 13143 -13096 M 13618 /Times-Roman-ISOLatin1 F 800 o f 13619 (158) h 13620 R 13621 13622 S 13623 15045 -3662 M 13624 /Times-Roman-ISOLatin1 F 800 o f 13625 (156) h 13626 R 13627 13628 S 13629 15045 -5261 M 13630 /Times-Roman-ISOLatin1 F 800 o f 13631 (156) h 13632 R 13633 13634 S 13635 15045 -6778 M 13636 /Times-Roman-ISOLatin1 F 800 o f 13637 (159) h 13638 R 13639 13640 S 13641 15045 -8294 M 13642 /Times-Roman-ISOLatin1 F 800 o f 13643 (155) h 13644 R 13645 13646 S 13647 15045 -9980 M 13648 /Times-Roman-ISOLatin1 F 800 o f 13649 (157) h 13650 R 13651 13652 S 13653 15045 -11579 M 13654 /Times-Roman-ISOLatin1 F 800 o f 13655 (157) h 13656 R 13657 13658 S 13659 15045 -13095 M 13660 /Times-Roman-ISOLatin1 F 800 o f 13661 (158) h 13662 R 13663 13664 S 13665 17966 -2062 M 13666 /Times-Roman-ISOLatin1 F 800 o f 13667 (235.6) h 13668 R 13669 13670 13671 S 13672 18093 -3662 M 13673 /Times-Roman-ISOLatin1 F 800 o f 13674 (\25522.6) h 13675 R 13676 13677 S 13678 18093 -5261 M 13679 /Times-Roman-ISOLatin1 F 800 o f 13680 (\25510.9) h 13681 R 13682 13683 S 13684 18541 -6778 M 13685 /Times-Roman-ISOLatin1 F 800 o f 13686 (\2557.1) h 13687 R 13688 13689 S 13690 18541 -8380 M 13691 /Times-Roman-ISOLatin1 F 800 o f 13692 (\2550.6) h 13693 R 13694 13695 S 13696 18796 -9980 M 13697 /Times-Roman-ISOLatin1 F 800 o f 13698 (1.8) h 13699 R 13700 13701 S 13702 18605 -11579 M 13703 /Times-Roman-ISOLatin1 F 800 o f 13704 (\2551.3) h 13705 R 13706 13707 S 13708 18541 -13095 M 13709 /Times-Roman-ISOLatin1 F 800 o f 13710 (\2552.6) h 13711 R 13712 13713 S 13714 20446 -2062 M 13715 /Times-Roman-ISOLatin1 F 800 o f 13716 (\2551.0) h 13717 R 13718 13719 S 13720 21901 -2062 M 13721 /Times-Roman-ISOLatin1 F 800 o f 13722 (\25512.1) h 13723 R 13724 13725 S 13726 24058 -2062 M 13727 /Times-Roman-ISOLatin1 F 800 o f 13728 (\2555.2) h 13729 R 13730 13731 S 13732 26156 -2062 M 13733 /Times-Roman-ISOLatin1 F 800 o f 13734 (2.1) h 13735 R 13736 13737 S 13738 27669 -2062 M 13739 /Times-Roman-ISOLatin1 F 800 o f 13740 (\2551.7) h 13741 R 13742 13743 S 13744 29443 -2062 M 13745 /Times-Roman-ISOLatin1 F 800 o f 13746 (\2552.7) h 13747 R 13748 13749 S 13750 31473 -2062 M 13751 /Times-Roman-ISOLatin1 F 800 o f 13752 (1.3) h 13753 R 13754 13755 S 13756 19999 -3662 M 13757 /Times-Roman-ISOLatin1 F 800 o f 13758 (\25517.5) h 13759 R 13760 13761 S 13762 20446 -5261 M 13763 /Times-Roman-ISOLatin1 F 800 o f 13764 (\2559.3) h 13765 R 13766 13767 S 13768 20446 -6778 M 13769 /Times-Roman-ISOLatin1 F 800 o f 13770 (\2551.9) h 13771 R 13772 13773 S 13774 20446 -8380 M 13775 /Times-Roman-ISOLatin1 F 800 o f 13776 (\2550.8) h 13777 R 13778 13779 S 13780 20446 -9980 M 13781 /Times-Roman-ISOLatin1 F 800 o f 13782 (\2550.2) h 13783 R 13784 13785 S 13786 20446 -11579 M 13787 /Times-Roman-ISOLatin1 F 800 o f 13788 (\2550.4) h 13789 R 13790 13791 S 13792 20702 -13095 M 13793 /Times-Roman-ISOLatin1 F 800 o f 13794 (1.6) h 13795 R 13796 13797 S 13798 22284 -3750 M 13799 /Times-Roman-ISOLatin1 F 800 o f 13800 (\2556.2) h 13801 R 13802 13803 S 13804 22284 -5261 M 13805 /Times-Roman-ISOLatin1 F 800 o f 13806 (\2551.6) h 13807 R 13808 13809 S 13810 22540 -6779 M 13811 /Times-Roman-ISOLatin1 F 800 o f 13812 (0.2) h 13813 R 13814 13815 S 13816 22539 -8296 M 13817 /Times-Roman-ISOLatin1 F 800 o f 13818 (1.5) h 13819 R 13820 13821 S 13822 22540 -9982 M 13823 /Times-Roman-ISOLatin1 F 800 o f 13824 (1.6) h 13825 R 13826 13827 S 13828 22284 -11581 M 13829 /Times-Roman-ISOLatin1 F 800 o f 13830 (\2550.3) h 13831 R 13832 13833 S 13834 22284 -13096 M 13835 /Times-Roman-ISOLatin1 F 800 o f 13836 (\2553.8) h 13837 R 13838 13839 S 13840 24058 -3662 M 13841 /Times-Roman-ISOLatin1 F 800 o f 13842 (\2553.2) h 13843 R 13844 13845 S 13846 24314 -5261 M 13847 /Times-Roman-ISOLatin1 F 800 o f 13848 (1.5) h 13849 R 13850 13851 S 13852 24314 -6779 M 13853 /Times-Roman-ISOLatin1 F 800 o f 13854 (1.5) h 13855 R 13856 13857 S 13858 24314 -8381 M 13859 /Times-Roman-ISOLatin1 F 800 o f 13860 (1.6) h 13861 R 13862 13863 S 13864 24058 -9898 M 13865 /Times-Roman-ISOLatin1 F 800 o f 13866 (\2550.3) h 13867 R 13868 13869 S 13870 24058 -11581 M 13871 /Times-Roman-ISOLatin1 F 800 o f 13872 (\2551.5) h 13873 R 13874 13875 S 13876 24058 -13096 M 13877 /Times-Roman-ISOLatin1 F 800 o f 13878 (\2551.8) h 13879 R 13880 13881 S 13882 25836 -3662 M 13883 /Times-Roman-ISOLatin1 F 800 o f 13884 (\2552.9) h 13885 R 13886 13887 S 13888 26092 -5262 M 13889 /Times-Roman-ISOLatin1 F 800 o f 13890 (0.2) h 13891 R 13892 13893 S 13894 26156 -6779 M 13895 /Times-Roman-ISOLatin1 F 800 o f 13896 (0.9) h 13897 R 13898 13899 S 13900 25836 -8381 M 13901 /Times-Roman-ISOLatin1 F 800 o f 13902 (\2550.1) h 13903 R 13904 13905 S 13906 25836 -9982 M 13907 /Times-Roman-ISOLatin1 F 800 o f 13908 (\2550.8) h 13909 R 13910 13911 S 13912 25836 -11581 M 13913 /Times-Roman-ISOLatin1 F 800 o f 13914 (\2550.5) h 13915 R 13916 13917 S 13918 26156 -13096 M 13919 /Times-Roman-ISOLatin1 F 800 o f 13920 (1.9) h 13921 R 13922 13923 S 13924 27669 -3662 M 13925 /Times-Roman-ISOLatin1 F 800 o f 13926 (\2550.1) h 13927 R 13928 13929 S 13930 27670 -5262 M 13931 /Times-Roman-ISOLatin1 F 800 o f 13932 (\2550.9) h 13933 R 13934 13935 S 13936 27670 -6781 M 13937 /Times-Roman-ISOLatin1 F 800 o f 13938 (\2550.1) h 13939 R 13940 13941 S 13942 27669 -8381 M 13943 /Times-Roman-ISOLatin1 F 800 o f 13944 (\2550.7) h 13945 R 13946 13947 S 13948 27925 -9982 M 13949 /Times-Roman-ISOLatin1 F 800 o f 13950 (1.5) h 13951 R 13952 13953 S 13954 27925 -11582 M 13955 /Times-Roman-ISOLatin1 F 800 o f 13956 (1.7) h 13957 R 13958 13959 S 13960 27925 -13013 M 13961 /Times-Roman-ISOLatin1 F 800 o f 13962 (1.2) h 13963 R 13964 13965 S 13966 29699 -3662 M 13967 /Times-Roman-ISOLatin1 F 800 o f 13968 (0.4) h 13969 R 13970 13971 S 13972 29443 -5262 M 13973 /Times-Roman-ISOLatin1 F 800 o f 13974 (\2550.6) h 13975 R 13976 13977 S 13978 29699 -6779 M 13979 /Times-Roman-ISOLatin1 F 800 o f 13980 (0.0) h 13981 R 13982 13983 S 13984 29699 -8381 M 13985 /Times-Roman-ISOLatin1 F 800 o f 13986 (0.6) h 13987 R 13988 13989 S 13990 29699 -9981 M 13991 /Times-Roman-ISOLatin1 F 800 o f 13992 (1.0) h 13993 R 13994 13995 S 13996 29699 -11581 M 13997 /Times-Roman-ISOLatin1 F 800 o f 13998 (1.1) h 13999 R 14000 14001 S 14002 29443 -13096 M 14003 /Times-Roman-ISOLatin1 F 800 o f 14004 (\2550.6) h 14005 R 14006 14007 S 14008 31218 -3662 M 14009 /Times-Roman-ISOLatin1 F 800 o f 14010 (\2551.2) h 14011 R 14012 14013 S 14014 31218 -5261 M 14015 /Times-Roman-ISOLatin1 F 800 o f 14016 (\2550.1) h 14017 R 14018 14019 S 14020 31473 -6778 M 14021 /Times-Roman-ISOLatin1 F 800 o f 14022 (0.3) h 14023 R 14024 14025 S 14026 31473 -8294 M 14027 /Times-Roman-ISOLatin1 F 800 o f 14028 (1.3) h 14029 R 14030 14031 S 14032 31217 -9980 M 14033 /Times-Roman-ISOLatin1 F 800 o f 14034 (\2551.0) h 14035 R 14036 14037 S 14038 31218 -11579 M 14039 /Times-Roman-ISOLatin1 F 800 o f 14040 (\2550.8) h 14041 R 14042 14043 S 14044 31218 -13095 M 14045 /Times-Roman-ISOLatin1 F 800 o f 14046 (\2550.4) h 14047 R 14048 14049 S 14050 3031 -15447 M 14051 /Times-Roman-ISOLatin1 F 1000 o f 14052 (\(a\) source image samples) h 14053 R 14054 14055 S 14056 19330 -15381 M 14057 /Times-Roman-ISOLatin1 F 1000 o f 14058 (\(b\) forward DCT coefficients) h 14059 R 14060 14061 S 14062 34456 -2062 M 14063 /Times-Roman-ISOLatin1 F 800 o f 14064 (16) h 14065 R 14066 14067 14068 S 14069 34456 -3662 M 14070 /Times-Roman-ISOLatin1 F 800 o f 14071 (12) h 14072 R 14073 14074 S 14075 34456 -5261 M 14076 /Times-Roman-ISOLatin1 F 800 o f 14077 (14) h 14078 R 14079 14080 S 14081 34456 -6778 M 14082 /Times-Roman-ISOLatin1 F 800 o f 14083 (14) h 14084 R 14085 14086 S 14087 34456 -8380 M 14088 /Times-Roman-ISOLatin1 F 800 o f 14089 (18) h 14090 R 14091 14092 S 14093 34456 -9980 M 14094 /Times-Roman-ISOLatin1 F 800 o f 14095 (24) h 14096 R 14097 14098 S 14099 34456 -11579 M 14100 /Times-Roman-ISOLatin1 F 800 o f 14101 (49) h 14102 R 14103 14104 S 14105 34456 -13095 M 14106 /Times-Roman-ISOLatin1 F 800 o f 14107 (72) h 14108 R 14109 14110 S 14111 36425 -2062 M 14112 /Times-Roman-ISOLatin1 F 800 o f 14113 (11) h 14114 R 14115 14116 S 14117 38326 -2062 M 14118 /Times-Roman-ISOLatin1 F 800 o f 14119 (10) h 14120 R 14121 14122 S 14123 40228 -2062 M 14124 /Times-Roman-ISOLatin1 F 800 o f 14125 (16) h 14126 R 14127 14128 S 14129 42198 -2062 M 14130 /Times-Roman-ISOLatin1 F 800 o f 14131 (24) h 14132 R 14133 14134 S 14135 44032 -2062 M 14136 /Times-Roman-ISOLatin1 F 800 o f 14137 (40) h 14138 R 14139 14140 S 14141 45933 -2062 M 14142 /Times-Roman-ISOLatin1 F 800 o f 14143 (51) h 14144 R 14145 14146 S 14147 47835 -2062 M 14148 /Times-Roman-ISOLatin1 F 800 o f 14149 (61) h 14150 R 14151 14152 S 14153 36425 -3662 M 14154 /Times-Roman-ISOLatin1 F 800 o f 14155 (12) h 14156 R 14157 14158 S 14159 36425 -5261 M 14160 /Times-Roman-ISOLatin1 F 800 o f 14161 (13) h 14162 R 14163 14164 S 14165 36425 -6778 M 14166 /Times-Roman-ISOLatin1 F 800 o f 14167 (17) h 14168 R 14169 14170 S 14171 36425 -8380 M 14172 /Times-Roman-ISOLatin1 F 800 o f 14173 (22) h 14174 R 14175 14176 S 14177 36425 -9980 M 14178 /Times-Roman-ISOLatin1 F 800 o f 14179 (35) h 14180 R 14181 14182 S 14183 36425 -11579 M 14184 /Times-Roman-ISOLatin1 F 800 o f 14185 (64) h 14186 R 14187 14188 S 14189 36425 -13095 M 14190 /Times-Roman-ISOLatin1 F 800 o f 14191 (92) h 14192 R 14193 14194 S 14195 38326 -3750 M 14196 /Times-Roman-ISOLatin1 F 800 o f 14197 (14) h 14198 R 14199 14200 S 14201 38326 -5261 M 14202 /Times-Roman-ISOLatin1 F 800 o f 14203 (16) h 14204 R 14205 14206 S 14207 38326 -6779 M 14208 /Times-Roman-ISOLatin1 F 800 o f 14209 (22) h 14210 R 14211 14212 S 14213 38326 -8296 M 14214 /Times-Roman-ISOLatin1 F 800 o f 14215 (37) h 14216 R 14217 14218 S 14219 38326 -9982 M 14220 /Times-Roman-ISOLatin1 F 800 o f 14221 (55) h 14222 R 14223 14224 S 14225 38326 -11581 M 14226 /Times-Roman-ISOLatin1 F 800 o f 14227 (78) h 14228 R 14229 14230 S 14231 38326 -13096 M 14232 /Times-Roman-ISOLatin1 F 800 o f 14233 (95) h 14234 R 14235 14236 S 14237 40228 -3662 M 14238 /Times-Roman-ISOLatin1 F 800 o f 14239 (19) h 14240 R 14241 14242 S 14243 40228 -5261 M 14244 /Times-Roman-ISOLatin1 F 800 o f 14245 (24) h 14246 R 14247 14248 S 14249 40228 -6779 M 14250 /Times-Roman-ISOLatin1 F 800 o f 14251 (29) h 14252 R 14253 14254 S 14255 40228 -8381 M 14256 /Times-Roman-ISOLatin1 F 800 o f 14257 (56) h 14258 R 14259 14260 S 14261 40228 -9898 M 14262 /Times-Roman-ISOLatin1 F 800 o f 14263 (64) h 14264 R 14265 14266 S 14267 40228 -11581 M 14268 /Times-Roman-ISOLatin1 F 800 o f 14269 (87) h 14270 R 14271 14272 S 14273 40228 -13096 M 14274 /Times-Roman-ISOLatin1 F 800 o f 14275 (98) h 14276 R 14277 14278 S 14279 42198 -3662 M 14280 /Times-Roman-ISOLatin1 F 800 o f 14281 (26) h 14282 R 14283 14284 S 14285 42198 -5262 M 14286 /Times-Roman-ISOLatin1 F 800 o f 14287 (40) h 14288 R 14289 14290 S 14291 42198 -6779 M 14292 /Times-Roman-ISOLatin1 F 800 o f 14293 (51) h 14294 R 14295 14296 S 14297 42198 -8381 M 14298 /Times-Roman-ISOLatin1 F 800 o f 14299 (68) h 14300 R 14301 14302 S 14303 42198 -9982 M 14304 /Times-Roman-ISOLatin1 F 800 o f 14305 (81) h 14306 R 14307 14308 S 14309 42198 -11581 M 14310 /Times-Roman-ISOLatin1 F 800 o f 14311 (103) h 14312 R 14313 14314 S 14315 42198 -13096 M 14316 /Times-Roman-ISOLatin1 F 800 o f 14317 (112) h 14318 R 14319 14320 S 14321 44032 -3662 M 14322 /Times-Roman-ISOLatin1 F 800 o f 14323 (58) h 14324 R 14325 14326 S 14327 44032 -5262 M 14328 /Times-Roman-ISOLatin1 F 800 o f 14329 (57) h 14330 R 14331 14332 S 14333 44032 -6781 M 14334 /Times-Roman-ISOLatin1 F 800 o f 14335 (87) h 14336 R 14337 14338 S 14339 44032 -8381 M 14340 /Times-Roman-ISOLatin1 F 800 o f 14341 (109) h 14342 R 14343 14344 S 14345 44032 -9982 M 14346 /Times-Roman-ISOLatin1 F 800 o f 14347 (104) h 14348 R 14349 14350 S 14351 44032 -11582 M 14352 /Times-Roman-ISOLatin1 F 800 o f 14353 (121) h 14354 R 14355 14356 S 14357 44032 -13013 M 14358 /Times-Roman-ISOLatin1 F 800 o f 14359 (100) h 14360 R 14361 14362 S 14363 45933 -3662 M 14364 /Times-Roman-ISOLatin1 F 800 o f 14365 (60) h 14366 R 14367 14368 S 14369 45933 -5262 M 14370 /Times-Roman-ISOLatin1 F 800 o f 14371 (69) h 14372 R 14373 14374 S 14375 45933 -6779 M 14376 /Times-Roman-ISOLatin1 F 800 o f 14377 (80) h 14378 R 14379 14380 S 14381 45933 -8381 M 14382 /Times-Roman-ISOLatin1 F 800 o f 14383 (103) h 14384 R 14385 14386 S 14387 45933 -9981 M 14388 /Times-Roman-ISOLatin1 F 800 o f 14389 (113) h 14390 R 14391 14392 S 14393 45933 -11581 M 14394 /Times-Roman-ISOLatin1 F 800 o f 14395 (120) h 14396 R 14397 14398 S 14399 45933 -13096 M 14400 /Times-Roman-ISOLatin1 F 800 o f 14401 (103) h 14402 R 14403 14404 S 14405 47835 -3662 M 14406 /Times-Roman-ISOLatin1 F 800 o f 14407 (55) h 14408 R 14409 14410 S 14411 47835 -5261 M 14412 /Times-Roman-ISOLatin1 F 800 o f 14413 (56) h 14414 R 14415 14416 S 14417 47835 -6778 M 14418 /Times-Roman-ISOLatin1 F 800 o f 14419 (62) h 14420 R 14421 14422 S 14423 47835 -8294 M 14424 /Times-Roman-ISOLatin1 F 800 o f 14425 (77) h 14426 R 14427 14428 S 14429 47835 -9980 M 14430 /Times-Roman-ISOLatin1 F 800 o f 14431 (92) h 14432 R 14433 14434 S 14435 47835 -11579 M 14436 /Times-Roman-ISOLatin1 F 800 o f 14437 (101) h 14438 R 14439 14440 S 14441 47835 -13095 M 14442 /Times-Roman-ISOLatin1 F 800 o f 14443 (99) h 14444 R 14445 14446 S 14447 37419 -15381 M 14448 /Times-Roman-ISOLatin1 F 1000 o f 14449 (\(c\) quantization table) h 14450 R 14451 14452 S 14453 1668 -18096 M 14454 /Times-Roman-ISOLatin1 F 798 o f 14455 (15) h 14456 R 14457 14458 14459 S 14460 1668 -19695 M 14461 /Times-Roman-ISOLatin1 F 796 o f 14462 (\2552) h 14463 R 14464 14465 S 14466 1668 -21296 M 14467 /Times-Roman-ISOLatin1 F 796 o f 14468 (\2551) h 14469 R 14470 14471 S 14472 1858 -22812 M 14473 /Times-Roman-ISOLatin1 F 800 o f 14474 (0) h 14475 R 14476 14477 S 14478 1858 -24412 M 14479 /Times-Roman-ISOLatin1 F 800 o f 14480 (0) h 14481 R 14482 14483 S 14484 1858 -26013 M 14485 /Times-Roman-ISOLatin1 F 800 o f 14486 (0) h 14487 R 14488 14489 S 14490 1858 -27613 M 14491 /Times-Roman-ISOLatin1 F 800 o f 14492 (0) h 14493 R 14494 14495 S 14496 1858 -29130 M 14497 /Times-Roman-ISOLatin1 F 800 o f 14498 (0) h 14499 R 14500 14501 S 14502 3827 -18096 M 14503 /Times-Roman-ISOLatin1 F 800 o f 14504 (0) h 14505 R 14506 14507 S 14508 5536 -18096 M 14509 /Times-Roman-ISOLatin1 F 800 o f 14510 (\2551) h 14511 R 14512 14513 S 14514 7630 -18096 M 14515 /Times-Roman-ISOLatin1 F 800 o f 14516 (0) h 14517 R 14518 14519 S 14520 9600 -18096 M 14521 /Times-Roman-ISOLatin1 F 800 o f 14522 (0) h 14523 R 14524 14525 S 14526 11434 -18096 M 14527 /Times-Roman-ISOLatin1 F 800 o f 14528 (0) h 14529 R 14530 14531 S 14532 13335 -18096 M 14533 /Times-Roman-ISOLatin1 F 800 o f 14534 (0) h 14535 R 14536 14537 S 14538 15237 -18096 M 14539 /Times-Roman-ISOLatin1 F 800 o f 14540 (0) h 14541 R 14542 14543 S 14544 3635 -19695 M 14545 /Times-Roman-ISOLatin1 F 800 o f 14546 (\2551) h 14547 R 14548 14549 S 14550 3635 -21296 M 14551 /Times-Roman-ISOLatin1 F 800 o f 14552 (\2551) h 14553 R 14554 14555 S 14556 3827 -22812 M 14557 /Times-Roman-ISOLatin1 F 800 o f 14558 (0) h 14559 R 14560 14561 S 14562 3827 -24412 M 14563 /Times-Roman-ISOLatin1 F 800 o f 14564 (0) h 14565 R 14566 14567 S 14568 3827 -26013 M 14569 /Times-Roman-ISOLatin1 F 800 o f 14570 (0) h 14571 R 14572 14573 S 14574 3827 -27613 M 14575 /Times-Roman-ISOLatin1 F 800 o f 14576 (0) h 14577 R 14578 14579 S 14580 3827 -29130 M 14581 /Times-Roman-ISOLatin1 F 800 o f 14582 (0) h 14583 R 14584 14585 S 14586 5728 -19781 M 14587 /Times-Roman-ISOLatin1 F 800 o f 14588 (0) h 14589 R 14590 14591 S 14592 5728 -21296 M 14593 /Times-Roman-ISOLatin1 F 800 o f 14594 (0) h 14595 R 14596 14597 S 14598 5728 -22813 M 14599 /Times-Roman-ISOLatin1 F 800 o f 14600 (0) h 14601 R 14602 14603 S 14604 5728 -24330 M 14605 /Times-Roman-ISOLatin1 F 800 o f 14606 (0) h 14607 R 14608 14609 S 14610 5728 -26015 M 14611 /Times-Roman-ISOLatin1 F 800 o f 14612 (0) h 14613 R 14614 14615 S 14616 5728 -27614 M 14617 /Times-Roman-ISOLatin1 F 800 o f 14618 (0) h 14619 R 14620 14621 S 14622 5728 -29131 M 14623 /Times-Roman-ISOLatin1 F 800 o f 14624 (0) h 14625 R 14626 14627 S 14628 7630 -19695 M 14629 /Times-Roman-ISOLatin1 F 800 o f 14630 (0) h 14631 R 14632 14633 S 14634 7630 -21296 M 14635 /Times-Roman-ISOLatin1 F 800 o f 14636 (0) h 14637 R 14638 14639 S 14640 7630 -22813 M 14641 /Times-Roman-ISOLatin1 F 800 o f 14642 (0) h 14643 R 14644 14645 S 14646 7630 -24413 M 14647 /Times-Roman-ISOLatin1 F 800 o f 14648 (0) h 14649 R 14650 14651 S 14652 7630 -25928 M 14653 /Times-Roman-ISOLatin1 F 800 o f 14654 (0) h 14655 R 14656 14657 S 14658 7630 -27614 M 14659 /Times-Roman-ISOLatin1 F 800 o f 14660 (0) h 14661 R 14662 14663 S 14664 7630 -29131 M 14665 /Times-Roman-ISOLatin1 F 800 o f 14666 (0) h 14667 R 14668 14669 S 14670 9600 -19695 M 14671 /Times-Roman-ISOLatin1 F 800 o f 14672 (0) h 14673 R 14674 14675 S 14676 9600 -21297 M 14677 /Times-Roman-ISOLatin1 F 800 o f 14678 (0) h 14679 R 14680 14681 S 14682 9600 -22813 M 14683 /Times-Roman-ISOLatin1 F 800 o f 14684 (0) h 14685 R 14686 14687 S 14688 9600 -24413 M 14689 /Times-Roman-ISOLatin1 F 800 o f 14690 (0) h 14691 R 14692 14693 S 14694 9600 -26015 M 14695 /Times-Roman-ISOLatin1 F 800 o f 14696 (0) h 14697 R 14698 14699 S 14700 9600 -27614 M 14701 /Times-Roman-ISOLatin1 F 800 o f 14702 (0) h 14703 R 14704 14705 S 14706 9600 -29131 M 14707 /Times-Roman-ISOLatin1 F 800 o f 14708 (0) h 14709 R 14710 14711 S 14712 11434 -19695 M 14713 /Times-Roman-ISOLatin1 F 800 o f 14714 (0) h 14715 R 14716 14717 S 14718 11434 -21297 M 14719 /Times-Roman-ISOLatin1 F 800 o f 14720 (0) h 14721 R 14722 14723 S 14724 11434 -22814 M 14725 /Times-Roman-ISOLatin1 F 800 o f 14726 (0) h 14727 R 14728 14729 S 14730 11434 -24413 M 14731 /Times-Roman-ISOLatin1 F 800 o f 14732 (0) h 14733 R 14734 14735 S 14736 11434 -26015 M 14737 /Times-Roman-ISOLatin1 F 800 o f 14738 (0) h 14739 R 14740 14741 S 14742 11434 -27615 M 14743 /Times-Roman-ISOLatin1 F 800 o f 14744 (0) h 14745 R 14746 14747 S 14748 11434 -29045 M 14749 /Times-Roman-ISOLatin1 F 800 o f 14750 (0) h 14751 R 14752 14753 S 14754 13335 -19695 M 14755 /Times-Roman-ISOLatin1 F 800 o f 14756 (0) h 14757 R 14758 14759 S 14760 13335 -21297 M 14761 /Times-Roman-ISOLatin1 F 800 o f 14762 (0) h 14763 R 14764 14765 S 14766 13335 -22813 M 14767 /Times-Roman-ISOLatin1 F 800 o f 14768 (0) h 14769 R 14770 14771 S 14772 13335 -24413 M 14773 /Times-Roman-ISOLatin1 F 800 o f 14774 (0) h 14775 R 14776 14777 S 14778 13335 -26014 M 14779 /Times-Roman-ISOLatin1 F 800 o f 14780 (0) h 14781 R 14782 14783 S 14784 13335 -27614 M 14785 /Times-Roman-ISOLatin1 F 800 o f 14786 (0) h 14787 R 14788 14789 S 14790 13335 -29131 M 14791 /Times-Roman-ISOLatin1 F 800 o f 14792 (0) h 14793 R 14794 14795 S 14796 15237 -19695 M 14797 /Times-Roman-ISOLatin1 F 800 o f 14798 (0) h 14799 R 14800 14801 S 14802 15237 -21296 M 14803 /Times-Roman-ISOLatin1 F 800 o f 14804 (0) h 14805 R 14806 14807 S 14808 15237 -22812 M 14809 /Times-Roman-ISOLatin1 F 800 o f 14810 (0) h 14811 R 14812 14813 S 14814 15237 -24329 M 14815 /Times-Roman-ISOLatin1 F 800 o f 14816 (0) h 14817 R 14818 14819 S 14820 15237 -26013 M 14821 /Times-Roman-ISOLatin1 F 800 o f 14822 (0) h 14823 R 14824 14825 S 14826 15237 -27613 M 14827 /Times-Roman-ISOLatin1 F 800 o f 14828 (0) h 14829 R 14830 14831 S 14832 15237 -29130 M 14833 /Times-Roman-ISOLatin1 F 800 o f 14834 (0) h 14835 R 14836 14837 S 14838 3927 -31436 M 14839 /Times-Roman-ISOLatin1 F 1000 o f 14840 (\(d\) normalized quantized) h 14841 R 14842 14843 S 14844 19139 -31500 M 14845 /Times-Roman-ISOLatin1 F 1000 o f 14846 (\(e\) denormalized quantized) h 14847 R 14848 14849 S 14850 34201 -18169 M 14851 /Times-Roman-ISOLatin1 F 800 o f 14852 (144) h 14853 R 14854 14855 14856 S 14857 34201 -19770 M 14858 /Times-Roman-ISOLatin1 F 800 o f 14859 (148) h 14860 R 14861 14862 S 14863 34201 -21372 M 14864 /Times-Roman-ISOLatin1 F 800 o f 14865 (155) h 14866 R 14867 14868 S 14869 34201 -22887 M 14870 /Times-Roman-ISOLatin1 F 800 o f 14871 (160) h 14872 R 14873 14874 S 14875 34201 -24488 M 14876 /Times-Roman-ISOLatin1 F 800 o f 14877 (163) h 14878 R 14879 14880 S 14881 34201 -26088 M 14882 /Times-Roman-ISOLatin1 F 800 o f 14883 (163) h 14884 R 14885 14886 S 14887 34201 -27688 M 14888 /Times-Roman-ISOLatin1 F 800 o f 14889 (160) h 14890 R 14891 14892 S 14893 34201 -29204 M 14894 /Times-Roman-ISOLatin1 F 800 o f 14895 (158) h 14896 R 14897 14898 S 14899 36170 -18169 M 14900 /Times-Roman-ISOLatin1 F 800 o f 14901 (146) h 14902 R 14903 14904 S 14905 38071 -18169 M 14906 /Times-Roman-ISOLatin1 F 800 o f 14907 (149) h 14908 R 14909 14910 S 14911 39973 -18169 M 14912 /Times-Roman-ISOLatin1 F 800 o f 14913 (152) h 14914 R 14915 14916 S 14917 41943 -18169 M 14918 /Times-Roman-ISOLatin1 F 800 o f 14919 (154) h 14920 R 14921 14922 S 14923 43777 -18169 M 14924 /Times-Roman-ISOLatin1 F 800 o f 14925 (156) h 14926 R 14927 14928 S 14929 45678 -18169 M 14930 /Times-Roman-ISOLatin1 F 800 o f 14931 (156) h 14932 R 14933 14934 S 14935 47580 -18169 M 14936 /Times-Roman-ISOLatin1 F 800 o f 14937 (156) h 14938 R 14939 14940 S 14941 36170 -19770 M 14942 /Times-Roman-ISOLatin1 F 800 o f 14943 (150) h 14944 R 14945 14946 S 14947 36170 -21372 M 14948 /Times-Roman-ISOLatin1 F 800 o f 14949 (156) h 14950 R 14951 14952 S 14953 36170 -22887 M 14954 /Times-Roman-ISOLatin1 F 800 o f 14955 (161) h 14956 R 14957 14958 S 14959 36170 -24488 M 14960 /Times-Roman-ISOLatin1 F 800 o f 14961 (163) h 14962 R 14963 14964 S 14965 36170 -26088 M 14966 /Times-Roman-ISOLatin1 F 800 o f 14967 (164) h 14968 R 14969 14970 S 14971 36170 -27688 M 14972 /Times-Roman-ISOLatin1 F 800 o f 14973 (161) h 14974 R 14975 14976 S 14977 36170 -29204 M 14978 /Times-Roman-ISOLatin1 F 800 o f 14979 (159) h 14980 R 14981 14982 S 14983 38071 -19856 M 14984 /Times-Roman-ISOLatin1 F 800 o f 14985 (152) h 14986 R 14987 14988 S 14989 38071 -21372 M 14990 /Times-Roman-ISOLatin1 F 800 o f 14991 (157) h 14992 R 14993 14994 S 14995 38071 -22888 M 14996 /Times-Roman-ISOLatin1 F 800 o f 14997 (161) h 14998 R 14999 15000 S 15001 38071 -24405 M 15002 /Times-Roman-ISOLatin1 F 800 o f 15003 (164) h 15004 R 15005 15006 S 15007 38071 -26090 M 15008 /Times-Roman-ISOLatin1 F 800 o f 15009 (164) h 15010 R 15011 15012 S 15013 38071 -27689 M 15014 /Times-Roman-ISOLatin1 F 800 o f 15015 (162) h 15016 R 15017 15018 S 15019 38071 -29206 M 15020 /Times-Roman-ISOLatin1 F 800 o f 15021 (161) h 15022 R 15023 15024 S 15025 39973 -19770 M 15026 /Times-Roman-ISOLatin1 F 800 o f 15027 (154) h 15028 R 15029 15030 S 15031 39973 -21372 M 15032 /Times-Roman-ISOLatin1 F 800 o f 15033 (158) h 15034 R 15035 15036 S 15037 39973 -22888 M 15038 /Times-Roman-ISOLatin1 F 800 o f 15039 (162) h 15040 R 15041 15042 S 15043 39973 -24489 M 15044 /Times-Roman-ISOLatin1 F 800 o f 15045 (163) h 15046 R 15047 15048 S 15049 39973 -26003 M 15050 /Times-Roman-ISOLatin1 F 800 o f 15051 (164) h 15052 R 15053 15054 S 15055 39973 -27689 M 15056 /Times-Roman-ISOLatin1 F 800 o f 15057 (162) h 15058 R 15059 15060 S 15061 39973 -29206 M 15062 /Times-Roman-ISOLatin1 F 800 o f 15063 (161) h 15064 R 15065 15066 S 15067 41943 -19770 M 15068 /Times-Roman-ISOLatin1 F 800 o f 15069 (156) h 15070 R 15071 15072 S 15073 41943 -21373 M 15074 /Times-Roman-ISOLatin1 F 800 o f 15075 (158) h 15076 R 15077 15078 S 15079 41943 -22888 M 15080 /Times-Roman-ISOLatin1 F 800 o f 15081 (161) h 15082 R 15083 15084 S 15085 41943 -24489 M 15086 /Times-Roman-ISOLatin1 F 800 o f 15087 (162) h 15088 R 15089 15090 S 15091 41943 -26090 M 15092 /Times-Roman-ISOLatin1 F 800 o f 15093 (162) h 15094 R 15095 15096 S 15097 41943 -27689 M 15098 /Times-Roman-ISOLatin1 F 800 o f 15099 (162) h 15100 R 15101 15102 S 15103 41943 -29206 M 15104 /Times-Roman-ISOLatin1 F 800 o f 15105 (162) h 15106 R 15107 15108 S 15109 43777 -19770 M 15110 /Times-Roman-ISOLatin1 F 800 o f 15111 (156) h 15112 R 15113 15114 S 15115 43777 -21373 M 15116 /Times-Roman-ISOLatin1 F 800 o f 15117 (157) h 15118 R 15119 15120 S 15121 43777 -22889 M 15122 /Times-Roman-ISOLatin1 F 800 o f 15123 (159) h 15124 R 15125 15126 S 15127 43777 -24489 M 15128 /Times-Roman-ISOLatin1 F 800 o f 15129 (160) h 15130 R 15131 15132 S 15133 43777 -26090 M 15134 /Times-Roman-ISOLatin1 F 800 o f 15135 (160) h 15136 R 15137 15138 S 15139 43777 -27690 M 15140 /Times-Roman-ISOLatin1 F 800 o f 15141 (161) h 15142 R 15143 15144 S 15145 43777 -29122 M 15146 /Times-Roman-ISOLatin1 F 800 o f 15147 (161) h 15148 R 15149 15150 S 15151 45678 -19770 M 15152 /Times-Roman-ISOLatin1 F 800 o f 15153 (156) h 15154 R 15155 15156 S 15157 45678 -21373 M 15158 /Times-Roman-ISOLatin1 F 800 o f 15159 (156) h 15160 R 15161 15162 S 15163 45678 -22888 M 15164 /Times-Roman-ISOLatin1 F 800 o f 15165 (157) h 15166 R 15167 15168 S 15169 45678 -24489 M 15170 /Times-Roman-ISOLatin1 F 800 o f 15171 (158) h 15172 R 15173 15174 S 15175 45678 -26089 M 15176 /Times-Roman-ISOLatin1 F 800 o f 15177 (158) h 15178 R 15179 15180 S 15181 45678 -27689 M 15182 /Times-Roman-ISOLatin1 F 800 o f 15183 (159) h 15184 R 15185 15186 S 15187 45678 -29206 M 15188 /Times-Roman-ISOLatin1 F 800 o f 15189 (159) h 15190 R 15191 15192 S 15193 47580 -19770 M 15194 /Times-Roman-ISOLatin1 F 800 o f 15195 (156) h 15196 R 15197 15198 S 15199 47580 -21372 M 15200 /Times-Roman-ISOLatin1 F 800 o f 15201 (155) h 15202 R 15203 15204 S 15205 47580 -22887 M 15206 /Times-Roman-ISOLatin1 F 800 o f 15207 (155) h 15208 R 15209 15210 S 15211 47580 -24402 M 15212 /Times-Roman-ISOLatin1 F 800 o f 15213 (156) h 15214 R 15215 15216 S 15217 47580 -26088 M 15218 /Times-Roman-ISOLatin1 F 800 o f 15219 (157) h 15220 R 15221 15222 S 15223 47580 -27688 M 15224 /Times-Roman-ISOLatin1 F 800 o f 15225 (158) h 15226 R 15227 15228 S 15229 47580 -29204 M 15230 /Times-Roman-ISOLatin1 F 800 o f 15231 (158) h 15232 R 15233 15234 S 15235 34861 -31630 M 15236 /Times-Roman-ISOLatin1 F 1000 o f 15237 (\(f\) reconstructed image samples) h 15238 R 15239 15240 S 15241 16167 -34835 M 15242 /Times-Roman-ISOLatin1 F 1000 o f 15243 (Figure 10. DCT and Quantization Examples) h 15244 R 15245 15246 S 15247 17704 -17741 M 15248 /Times-Roman-ISOLatin1 F 800 o f 15249 (240) h 15250 R 15251 15252 15253 S 15254 17703 -19304 M 15255 /Times-Roman-ISOLatin1 F 800 o f 15256 (\25524) h 15257 R 15258 15259 S 15260 17703 -20869 M 15261 /Times-Roman-ISOLatin1 F 800 o f 15262 (\25514) h 15263 R 15264 15265 S 15266 18087 -22350 M 15267 /Times-Roman-ISOLatin1 F 800 o f 15268 (0) h 15269 R 15270 15271 S 15272 18087 -23914 M 15273 /Times-Roman-ISOLatin1 F 800 o f 15274 (0) h 15275 R 15276 15277 S 15278 18087 -25479 M 15279 /Times-Roman-ISOLatin1 F 800 o f 15280 (0) h 15281 R 15282 15283 S 15284 18087 -27042 M 15285 /Times-Roman-ISOLatin1 F 800 o f 15286 (0) h 15287 R 15288 15289 S 15290 18087 -28525 M 15291 /Times-Roman-ISOLatin1 F 800 o f 15292 (0) h 15293 R 15294 15295 S 15296 20056 -17741 M 15297 /Times-Roman-ISOLatin1 F 800 o f 15298 (0) h 15299 R 15300 15301 S 15302 21573 -17741 M 15303 /Times-Roman-ISOLatin1 F 800 o f 15304 (\25510) h 15305 R 15306 15307 S 15308 23859 -17741 M 15309 /Times-Roman-ISOLatin1 F 800 o f 15310 (0) h 15311 R 15312 15313 S 15314 25829 -17741 M 15315 /Times-Roman-ISOLatin1 F 800 o f 15316 (0) h 15317 R 15318 15319 S 15320 27663 -17741 M 15321 /Times-Roman-ISOLatin1 F 800 o f 15322 (0) h 15323 R 15324 15325 S 15326 29564 -17741 M 15327 /Times-Roman-ISOLatin1 F 800 o f 15328 (0) h 15329 R 15330 15331 S 15332 31466 -17741 M 15333 /Times-Roman-ISOLatin1 F 800 o f 15334 (0) h 15335 R 15336 15337 S 15338 19672 -19304 M 15339 /Times-Roman-ISOLatin1 F 800 o f 15340 (\25512) h 15341 R 15342 15343 S 15344 19672 -20869 M 15345 /Times-Roman-ISOLatin1 F 800 o f 15346 (\25513) h 15347 R 15348 15349 S 15350 20056 -22350 M 15351 /Times-Roman-ISOLatin1 F 800 o f 15352 (0) h 15353 R 15354 15355 S 15356 20056 -23914 M 15357 /Times-Roman-ISOLatin1 F 800 o f 15358 (0) h 15359 R 15360 15361 S 15362 20056 -25479 M 15363 /Times-Roman-ISOLatin1 F 800 o f 15364 (0) h 15365 R 15366 15367 S 15368 20056 -27042 M 15369 /Times-Roman-ISOLatin1 F 800 o f 15370 (0) h 15371 R 15372 15373 S 15374 20056 -28525 M 15375 /Times-Roman-ISOLatin1 F 800 o f 15376 (0) h 15377 R 15378 15379 S 15380 21957 -19388 M 15381 /Times-Roman-ISOLatin1 F 800 o f 15382 (0) h 15383 R 15384 15385 S 15386 21957 -20869 M 15387 /Times-Roman-ISOLatin1 F 800 o f 15388 (0) h 15389 R 15390 15391 S 15392 21957 -22351 M 15393 /Times-Roman-ISOLatin1 F 800 o f 15394 (0) h 15395 R 15396 15397 S 15398 21957 -23833 M 15399 /Times-Roman-ISOLatin1 F 800 o f 15400 (0) h 15401 R 15402 15403 S 15404 21957 -25481 M 15405 /Times-Roman-ISOLatin1 F 800 o f 15406 (0) h 15407 R 15408 15409 S 15410 21957 -27043 M 15411 /Times-Roman-ISOLatin1 F 800 o f 15412 (0) h 15413 R 15414 15415 S 15416 21957 -28526 M 15417 /Times-Roman-ISOLatin1 F 800 o f 15418 (0) h 15419 R 15420 15421 S 15422 23859 -19304 M 15423 /Times-Roman-ISOLatin1 F 800 o f 15424 (0) h 15425 R 15426 15427 S 15428 23859 -20869 M 15429 /Times-Roman-ISOLatin1 F 800 o f 15430 (0) h 15431 R 15432 15433 S 15434 23859 -22351 M 15435 /Times-Roman-ISOLatin1 F 800 o f 15436 (0) h 15437 R 15438 15439 S 15440 23859 -23915 M 15441 /Times-Roman-ISOLatin1 F 800 o f 15442 (0) h 15443 R 15444 15445 S 15446 23859 -25396 M 15447 /Times-Roman-ISOLatin1 F 800 o f 15448 (0) h 15449 R 15450 15451 S 15452 23859 -27043 M 15453 /Times-Roman-ISOLatin1 F 800 o f 15454 (0) h 15455 R 15456 15457 S 15458 23859 -28526 M 15459 /Times-Roman-ISOLatin1 F 800 o f 15460 (0) h 15461 R 15462 15463 S 15464 25829 -19304 M 15465 /Times-Roman-ISOLatin1 F 800 o f 15466 (0) h 15467 R 15468 15469 S 15470 25829 -20870 M 15471 /Times-Roman-ISOLatin1 F 800 o f 15472 (0) h 15473 R 15474 15475 S 15476 25829 -22351 M 15477 /Times-Roman-ISOLatin1 F 800 o f 15478 (0) h 15479 R 15480 15481 S 15482 25829 -23915 M 15483 /Times-Roman-ISOLatin1 F 800 o f 15484 (0) h 15485 R 15486 15487 S 15488 25829 -25481 M 15489 /Times-Roman-ISOLatin1 F 800 o f 15490 (0) h 15491 R 15492 15493 S 15494 25829 -27043 M 15495 /Times-Roman-ISOLatin1 F 800 o f 15496 (0) h 15497 R 15498 15499 S 15500 25829 -28526 M 15501 /Times-Roman-ISOLatin1 F 800 o f 15502 (0) h 15503 R 15504 15505 S 15506 27663 -19304 M 15507 /Times-Roman-ISOLatin1 F 800 o f 15508 (0) h 15509 R 15510 15511 S 15512 27663 -20870 M 15513 /Times-Roman-ISOLatin1 F 800 o f 15514 (0) h 15515 R 15516 15517 S 15518 27663 -22352 M 15519 /Times-Roman-ISOLatin1 F 800 o f 15520 (0) h 15521 R 15522 15523 S 15524 27663 -23915 M 15525 /Times-Roman-ISOLatin1 F 800 o f 15526 (0) h 15527 R 15528 15529 S 15530 27663 -25481 M 15531 /Times-Roman-ISOLatin1 F 800 o f 15532 (0) h 15533 R 15534 15535 S 15536 27663 -27044 M 15537 /Times-Roman-ISOLatin1 F 800 o f 15538 (0) h 15539 R 15540 15541 S 15542 27663 -28443 M 15543 /Times-Roman-ISOLatin1 F 800 o f 15544 (0) h 15545 R 15546 15547 S 15548 29564 -19304 M 15549 /Times-Roman-ISOLatin1 F 800 o f 15550 (0) h 15551 R 15552 15553 S 15554 29564 -20870 M 15555 /Times-Roman-ISOLatin1 F 800 o f 15556 (0) h 15557 R 15558 15559 S 15560 29564 -22351 M 15561 /Times-Roman-ISOLatin1 F 800 o f 15562 (0) h 15563 R 15564 15565 S 15566 29564 -23915 M 15567 /Times-Roman-ISOLatin1 F 800 o f 15568 (0) h 15569 R 15570 15571 S 15572 29564 -25480 M 15573 /Times-Roman-ISOLatin1 F 800 o f 15574 (0) h 15575 R 15576 15577 S 15578 29564 -27043 M 15579 /Times-Roman-ISOLatin1 F 800 o f 15580 (0) h 15581 R 15582 15583 S 15584 29564 -28526 M 15585 /Times-Roman-ISOLatin1 F 800 o f 15586 (0) h 15587 R 15588 15589 S 15590 31466 -19304 M 15591 /Times-Roman-ISOLatin1 F 800 o f 15592 (0) h 15593 R 15594 15595 S 15596 31466 -20869 M 15597 /Times-Roman-ISOLatin1 F 800 o f 15598 (0) h 15599 R 15600 15601 S 15602 31466 -22350 M 15603 /Times-Roman-ISOLatin1 F 800 o f 15604 (0) h 15605 R 15606 15607 S 15608 31466 -23832 M 15609 /Times-Roman-ISOLatin1 F 800 o f 15610 (0) h 15611 R 15612 15613 S 15614 31466 -25479 M 15615 /Times-Roman-ISOLatin1 F 800 o f 15616 (0) h 15617 R 15618 15619 S 15620 31466 -27042 M 15621 /Times-Roman-ISOLatin1 F 800 o f 15622 (0) h 15623 R 15624 15625 S 15626 31466 -28525 M 15627 /Times-Roman-ISOLatin1 F 800 o f 15628 (0) h 15629 R 15630 15631 S 15632 5462 -32484 M 15633 /Times-Roman-ISOLatin1 F 1000 o f 15634 (coefficients) h 15635 R 15636 15637 S 15638 20706 -32581 M 15639 /Times-Roman-ISOLatin1 F 1000 o f 15640 (coefficients) h 15641 R 15642 15643 R 15644 15645 15646 R 15647 R 15648 15649 S 15650 30200 -75546 M 15651 /Times-Roman-ISOLatin1 F 1000 o f 15652 (12) h 15653 R 15654 15655 showpage 15656 $P e 15657 15658 %%Page: 13 13 15659 /$P a D 15660 g N 15661 0 79200 T 15662 S 15663 S 15664 7200 -2700 T 15665 N 15666 0 G 15667 300 -1200 M 15668 -7200 2700 T 15669 R 15670 15671 S 15672 7200 -74700 T 15673 N 15674 0 G 15675 300 -1200 M 15676 -7200 74700 T 15677 R 15678 15679 R 15680 S 15681 7172 -7467 T 15682 N 15683 0 G 15684 300 -1050 M 15685 /Times-Roman-ISOLatin1 $ 15686 /Times-Roman & P 15687 /Times-Roman-ISOLatin1 F 1000 o f 15688 153.2 0 32 (The VLIs specified in [2] are related to the two's) W 15689 300 -2150 M 15690 (complement representation. They are:) h 15691 300 -3250 M 15692 2100 -4350 M 15693 (\(3\)) h 15694 5739 -4350 M 15695 (11) h 15696 2100 -5450 M 15697 (\(\2552\)) h 15698 5739 -5450 M 15699 (01) h 15700 2100 -6550 M 15701 (\(\2551\) ) h 15702 5739 -6550 M 15703 (0) h 15704 300 -7650 M 15705 300 -8750 M 15706 40.2 0 32 (Thus, the bit\255stream for this 8x8 example block is as) W 15707 300 -9850 M 15708 108.3 0 32 (follows. Note that 31 bits are required to represent) W 15709 300 -10950 M 15710 120.8 0 32 (64 coefficients, which achieves compression of just) W 15711 300 -12050 M 15712 (under 0.5 bits/sample:) h 15713 300 -13150 M 15714 2100 -14250 M 15715 ( 0111111011010000000001110001010 ) h 15716 2100 -15350 M 15717 300 -16450 M 15718 300 -17550 M 15719 /Times-Bold-ISOLatin1 $ 15720 /Times-Bold & P 15721 /Times-Bold-ISOLatin1 F 1000 o f 15722 (7.4 Other DCT Sequential Codecs) h 15723 300 -18650 M 15724 300 -19750 M 15725 /Times-Roman-ISOLatin1 F 1000 o f 15726 246.4 0 32 (The structure of the 12\255bit DCT sequential codec) W 15727 300 -20850 M 15728 106.8 0 32 (with Huffman coding is a straightforward extension) W 15729 300 -21950 M 15730 120.7 0 32 (of the entropy coding method described previously.) W 15731 300 -23050 M 15732 104.6 0 32 (Quantized DCT coefficients can be 4 bits larger, so) W 15733 300 -24150 M 15734 433.6 0 32 (the SIZE and AMPLITUDE information extend) W 15735 300 -25250 M 15736 46.5 0 32 (accordingly. DCT sequential with arithmetic coding) W 15737 300 -26350 M 15738 (is described in detail in [2].) h 15739 300 -27450 M 15740 300 -28550 M 15741 300 -29800 M 15742 /Times-Bold-ISOLatin1 F 1200 o f 15743 (8 DCT Progressive Mode) h 15744 300 -31550 M 15745 /Times-Roman-ISOLatin1 F 1000 o f 15746 87.6 0 32 (The DCT progressive mode of operation consists of) W 15747 300 -32650 M 15748 8.1 0 32 (the same FDCT and Quantization steps \(from section) W 15749 300 -33750 M 15750 94.7 0 32 (4\) that are used by DCT sequential mode. The key) W 15751 300 -34850 M 15752 95.9 0 32 (difference is that each image component is encoded) W 15753 300 -35950 M 15754 133.5 0 32 (in multiple scans rather than in a single scan. The) W 15755 300 -37050 M 15756 32.4 0 32 (first scan\(s\) encode a rough but recognizable version) W 15757 300 -38150 M 15758 225.9 0 32 (of the image which can be transmitted quickly in) W 15759 300 -39250 M 15760 202.4 0 32 (comparison to the total transmission time, and are) W 15761 300 -40350 M 15762 52.6 0 32 (refined by succeeding scans until reaching a level of) W 15763 300 -41450 M 15764 764.0 0 32 (picture quality that was established by the) W 15765 300 -42550 M 15766 (quantization tables.) h 15767 300 -43650 M 15768 300 -44750 M 15769 643.1 0 32 (To achieve this requires the addition of an) W 15770 300 -45850 M 15771 349.6 0 32 (image\255sized buffer memory at the output of the) W 15772 300 -46950 M 15773 94.3 0 32 (quantizer, before the input to entropy encoder. The) W 15774 300 -48050 M 15775 37.3 0 32 (buffer memory must be of sufficient size to store the) W 15776 300 -49150 M 15777 60.1 0 32 (image as quantized DCT coefficients, each of which) W 15778 300 -50250 M 15779 101.0 0 32 (\(if stored straightforwardly\) is 3 bits larger than the) W 15780 300 -51350 M 15781 229.6 0 32 (source image samples. After each block of DCT) W 15782 300 -52450 M 15783 639.0 0 32 (coefficients is quantized, it is stored in the) W 15784 300 -53550 M 15785 40.2 0 32 (coefficient buffer memory. The buffered coefficients) W 15786 300 -54650 M 15787 (are then partially encoded in each of multiple scans.) h 15788 300 -55750 M 15789 300 -56850 M 15790 151.3 0 32 (There are two complementary methods by which a) W 15791 300 -57950 M 15792 0.4 0 32 (block of quantized DCT coefficients may be partially) W 15793 300 -59050 M 15794 635.3 0 32 (encoded. First, only a specified ) W 15795 635.3 0 32 (\026) W 15796 635.3 0 32 (band) W 15797 635.3 0 32 (\027) W 15798 635.3 0 32 ( of) W 15799 300 -60150 M 15800 431.5 0 32 (coefficients from the zig\255zag sequence need be) W 15801 300 -61250 M 15802 292.0 0 32 (encoded within a given scan. This procedure is) W 15803 300 -62350 M 15804 595.6 0 32 (called ) W 15805 595.6 0 32 (\026) W 15806 595.6 0 32 (spectral selection,) W 15807 595.6 0 32 (\027) W 15808 595.6 0 32 ( because each band) W 15809 300 -63450 M 15810 51.5 0 32 (typically contains coefficients which occupy a lower) W 15811 -7172 7467 T 15812 R 15813 15814 S 15815 32040 -7170 T 15816 N 15817 0 G 15818 300 -1050 M 15819 /Times-Roman-ISOLatin1 F 1000 o f 15820 119.7 0 32 (or higher part of the spatial\255frequency spectrum for) W 15821 300 -2150 M 15822 31.4 0 32 (that 8x8 block. Secondly, the coefficients within the) W 15823 300 -3250 M 15824 392.8 0 32 (current band need not be encoded to their full) W 15825 300 -4350 M 15826 389.5 0 32 (\(quantized\) accuracy in a given scan. Upon a) W 15827 300 -5450 M 15828 204.0 0 32 (coefficient's first encoding, the N most significant) W 15829 300 -6550 M 15830 64.3 0 32 (bits can be encoded first, where N is specifiable. In) W 15831 300 -7650 M 15832 7.1 0 32 (subsequent scans, the less significant bits can then be) W 15833 300 -8750 M 15834 426.7 0 32 (encoded. This procedure is called ``successive) W 15835 300 -9850 M 15836 435.7 0 32 (approximation.'' Both procedures can be used) W 15837 300 -10950 M 15838 (separately, or mixed in flexible combinations.) h 15839 300 -12050 M 15840 300 -30888 M 15841 /Times-Roman-ISOLatin1 F 1000 o f 15842 116.0 0 32 (Some intuition for spectral selection and successive) W 15843 300 -31988 M 15844 48.9 0 32 (approximation can be obtained from Figure 11. The) W 15845 300 -33088 M 15846 578.4 0 32 (quantized DCT coefficient information can be) W 15847 300 -34188 M 15848 247.6 0 32 (viewed as a rectangle for which the axes are the) W 15849 300 -35288 M 15850 570.2 0 32 (DCT coefficients \(in zig\255zag order\) and their) W 15851 300 -36388 M 15852 37.2 0 32 (amplitudes. Spectral selection slices the information) W 15853 300 -37488 M 15854 199.2 0 32 (in one dimension and successive approximation in) W 15855 300 -38588 M 15856 (the other.) h 15857 300 -39688 M 15858 300 -40788 M 15859 300 -42038 M 15860 /Times-Bold-ISOLatin1 F 1200 o f 15861 (9 Hierarchical Mode of Operation) h 15862 300 -43788 M 15863 /Times-Roman-ISOLatin1 F 1000 o f 15864 556.4 0 32 (The hierarchical mode provides a ) W 15865 556.4 0 32 (\026) W 15866 556.4 0 32 (pyramidal) W 15867 556.4 0 32 (\027) W 15868 300 -44888 M 15869 170.9 0 32 (encoding of an image at multiple resolutions, each) W 15870 300 -45988 M 15871 63.7 0 32 (differing in resolution from its adjacent encoding by) W 15872 300 -47088 M 15873 204.1 0 32 (a factor of two in either the horizontal or vertical) W 15874 300 -48188 M 15875 97.6 0 32 (dimension or both. The encoding procedure can be) W 15876 300 -49288 M 15877 (summarized as follows:) h 15878 300 -50388 M 15879 300 -51488 M 15880 (1\)) h 15881 2100 -51488 M 15882 214.0 0 32 (Filter and down\255sample the original image by) W 15883 2100 -52588 M 15884 237.0 0 32 (the desired number of multiples of 2 in each) W 15885 2100 -53688 M 15886 (dimension.) h 15887 2100 -54788 M 15888 300 -55888 M 15889 (2\)) h 15890 2100 -55888 M 15891 29.0 0 32 (Encode this reduced\255size image using one of the) W 15892 2100 -56988 M 15893 251.2 0 32 (sequential DCT, progressive DCT, or lossless) W 15894 2100 -58088 M 15895 (encoders described previously.) h 15896 2100 -59188 M 15897 300 -60288 M 15898 (3\)) h 15899 2100 -60288 M 15900 629.6 0 32 (Decode this reduced\255size image and then) W 15901 2100 -61388 M 15902 214.0 0 32 (interpolate and up\255sample it by 2 horizontally) W 15903 2100 -62488 M 15904 1286.3 0 32 (and/or vertically, using the identical) W 15905 2100 -63588 M 15906 (interpolation filter which the receiver must use.) h 15907 -32040 7170 T 15908 S 15909 N 15910 S 15911 32282 -37308 21475 17738 @ I N 15912 32282 -19570 T 15913 N 15914 S 15915 3610 -15064 M 15916 /Times-Roman-ISOLatin1 F 1000 o f 15917 (Table 3. Baseline Entropy Coding) h 15918 R 15919 15920 15921 S 15922 7350 -16502 M 15923 /Times-Roman-ISOLatin1 F 1000 o f 15924 (Symbol\2552 Structure) h 15925 R 15926 15927 S 15928 4858 -3655 M 15929 /Times-Roman-ISOLatin1 F 1100 o f 15930 (1) h 15931 R 15932 15933 15934 S 15935 4858 -4709 M 15936 /Times-Roman-ISOLatin1 F 1100 o f 15937 (2) h 15938 R 15939 15940 S 15941 4858 -5764 M 15942 /Times-Roman-ISOLatin1 F 1100 o f 15943 (3) h 15944 R 15945 15946 S 15947 4858 -6722 M 15948 /Times-Roman-ISOLatin1 F 1100 o f 15949 (4) h 15950 R 15951 15952 S 15953 4858 -7777 M 15954 /Times-Roman-ISOLatin1 F 1100 o f 15955 (5) h 15956 R 15957 15958 S 15959 4858 -8832 M 15960 /Times-Roman-ISOLatin1 F 1100 o f 15961 (6) h 15962 R 15963 15964 S 15965 4858 -9791 M 15966 /Times-Roman-ISOLatin1 F 1100 o f 15967 (7) h 15968 R 15969 15970 S 15971 4858 -10846 M 15972 /Times-Roman-ISOLatin1 F 1100 o f 15973 (8) h 15974 R 15975 15976 S 15977 4858 -11804 M 15978 /Times-Roman-ISOLatin1 F 1100 o f 15979 (9) h 15980 R 15981 15982 S 15983 4378 -12859 M 15984 /Times-Roman-ISOLatin1 F 1100 o f 15985 (10) h 15986 R 15987 15988 S 15989 11665 -3655 M 15990 /Times-Roman-ISOLatin1 F 1100 o f 15991 (\2551,1) h 15992 R 15993 15994 S 15995 10610 -4709 M 15996 /Times-Roman-ISOLatin1 F 1100 o f 15997 (\2553,\2552,2,3) h 15998 R 15999 16000 S 16001 10418 -5764 M 16002 /Times-Roman-ISOLatin1 F 1100 o f 16003 (\2557..\2554,4..7) h 16004 R 16005 16006 S 16007 9843 -6722 M 16008 /Times-Roman-ISOLatin1 F 1100 o f 16009 (\25515..\2558,8..15) h 16010 R 16011 16012 S 16013 9268 -7777 M 16014 /Times-Roman-ISOLatin1 F 1100 o f 16015 (\25531..\25516,16..31) h 16016 R 16017 16018 S 16019 9268 -8832 M 16020 /Times-Roman-ISOLatin1 F 1100 o f 16021 (\25563..\25532,32..63) h 16022 R 16023 16024 S 16025 8692 -9791 M 16026 /Times-Roman-ISOLatin1 F 1100 o f 16027 (\255127..\25564,64..127) h 16028 R 16029 16030 S 16031 8214 -10846 M 16032 /Times-Roman-ISOLatin1 F 1100 o f 16033 (\255255..\255128,128..255) h 16034 R 16035 16036 S 16037 8214 -11804 M 16038 /Times-Roman-ISOLatin1 F 1100 o f 16039 (\255511..\255256,256..511) h 16040 R 16041 16042 S 16043 7638 -12859 M 16044 /Times-Roman-ISOLatin1 F 1100 o f 16045 (\2551023..\255512,512..1023) h 16046 R 16047 16048 S 16049 2556 -13507 17736 12745 @ 16050 S 16051 50 w 16052 0 c 16053 0 j 16054 2 i 16055 0.00 G k 16056 R 16057 R 16058 16059 S 16060 N 16061 2679.00 -2454.00 M 16062 20333.00 -2454.00 L 16063 S 16064 50 w 16065 0 c 16066 0 j 16067 2 i 16068 0.00 G k 16069 R 16070 R 16071 16072 S 16073 3889 -2073 M 16074 /Times-Roman-ISOLatin1 F 1100 o f 16075 (SIZE) h 16076 R 16077 16078 S 16079 9354 -2073 M 16080 /Times-Roman-ISOLatin1 F 1100 o f 16081 (AMPLITUDE) h 16082 R 16083 16084 R 16085 16086 16087 R 16088 R 16089 16090 S 16091 30008 -75738 M 16092 /Times-Roman-ISOLatin1 F 1000 o f 16093 (13) h 16094 R 16095 16096 showpage 16097 $P e 16098 16099 %%Page: 14 14 16100 /$P a D 16101 g N 16102 0 79200 T 16103 S 16104 S 16105 7200 -2700 T 16106 N 16107 0 G 16108 300 -1200 M 16109 -7200 2700 T 16110 R 16111 16112 S 16113 7200 -74700 T 16114 N 16115 0 G 16116 300 -1200 M 16117 -7200 74700 T 16118 R 16119 16120 R 16121 S 16122 7152 -59314 T 16123 N 16124 0 G 16125 300 -1050 M 16126 /Times-Roman-ISOLatin1 $ 16127 /Times-Roman & P 16128 /Times-Roman-ISOLatin1 F 1000 o f 16129 (4\)) h 16130 2100 -1050 M 16131 7.9 0 32 (Use this up\255sampled image as a prediction of the) W 16132 2100 -2150 M 16133 505.7 0 32 (original at this resolution, and encode the) W 16134 2100 -3250 M 16135 307.0 0 32 (difference image using one of the sequential) W 16136 2100 -4350 M 16137 351.4 0 32 (DCT, progressive DCT, or lossless encoders) W 16138 2100 -5450 M 16139 (described previously.) h 16140 2100 -6550 M 16141 300 -7650 M 16142 (5\)) h 16143 2100 -7650 M 16144 16.1 0 32 (Repeat steps 3\) and 4\) until the full resolution of) W 16145 2100 -8750 M 16146 (the image has been encoded.) h 16147 2100 -9850 M 16148 300 -10950 M 16149 75.1 0 32 (The encoding in steps 2\) and 4\) must be done using) W 16150 300 -12050 M 16151 144.8 0 32 (only DCT\255based processes, only lossless processes,) W 16152 -7152 59314 T 16153 R 16154 16155 S 16156 32040 -59325 T 16157 N 16158 0 G 16159 300 -1050 M 16160 /Times-Roman-ISOLatin1 F 1000 o f 16161 32.1 0 32 (or DCT\255based processes with a final lossless process) W 16162 300 -2150 M 16163 (for each component.) h 16164 300 -3250 M 16165 300 -4350 M 16166 292.0 0 32 (Hierarchical encoding is useful in applications in) W 16167 300 -5450 M 16168 10.8 0 32 (which a very high resolution image must be accessed) W 16169 300 -6550 M 16170 243.3 0 32 (by a lower\255resolution display. An example is an) W 16171 300 -7650 M 16172 16.3 0 32 (image scanned and compressed at high resolution for) W 16173 300 -8750 M 16174 218.6 0 32 (a very high\255quality printer, where the image must) W 16175 300 -9850 M 16176 357.1 0 32 (also be displayed on a low\255resolution PC video) W 16177 300 -10950 M 16178 (screen.) h 16179 300 -12050 M 16180 -32040 59325 T 16181 R 16182 16183 S 16184 7478 -5752 T 16185 N 16186 S 16187 0 -55990 47170 55990 @ 16188 R 16189 0 G 16190 300 -1050 M 16191 300 -55560 M 16192 S 16193 0 -55990 47170 55990 @ 16194 R 16195 -7478 5752 T 16196 S 16197 N 16198 S 16199 7910 -60266 46306 53114 @ I N 16200 7910 -7152 T 16201 N 16202 S 16203 N 16204 28051.00 -26485.00 M 16205 29810.00 -26485.00 L 16206 S 16207 75 w 16208 0 c 16209 0 j 16210 2 i 16211 0.00 G k 16212 R 16213 R 16214 S 16215 N 16216 29355.00 -26739.00 M 16217 29899.00 -26485.00 L 16218 29355.00 -26232.00 L 16219 S 16220 75 w 16221 0 c 16222 0 j 16223 2 i 16224 0.00 G k 16225 R 16226 R 16227 16228 S 16229 27572 -26841 1434 854 @ 16230 S 16231 0.00 G - + * E 16232 R 16233 R 16234 16235 S 16236 N 16237 7951.00 -5609.00 M 16238 7951.00 -7452.00 L 16239 S 16240 150 w 16241 0 c 16242 0 j 16243 [100 400] 0 d 16244 0.00 G k 16245 R 16246 R 16247 16248 S 16249 N 16250 10071.00 -2868.00 M 16251 12373.00 -2107.00 L 16252 S 16253 150 w 16254 0 c 16255 0 j 16256 [100 400] 0 d 16257 0.00 G k 16258 R 16259 R 16260 16261 S 16262 27673 -24959 2034 3299 @ 16263 S 16264 0.00 G - + * E 16265 R 16266 S 16267 100 w 16268 0 c 16269 0 j 16270 2 i 16271 0.00 G k 16272 R 16273 R 16274 16275 S 16276 N 16277 28111.00 -24989.00 M 16278 28111.00 -21690.00 L 16279 34561.00 -16951.00 L 16280 S 16281 75 w 16282 0 c 16283 0 j 16284 2 i 16285 0.00 G k 16286 R 16287 R 16288 16289 S 16290 N 16291 28586.00 -24989.00 M 16292 28586.00 -21690.00 L 16293 35034.00 -16951.00 L 16294 S 16295 75 w 16296 0 c 16297 0 j 16298 2 i 16299 0.00 G k 16300 R 16301 R 16302 16303 S 16304 N 16305 29170.00 -24989.00 M 16306 29170.00 -21713.00 L 16307 35515.00 -17004.00 L 16308 S 16309 75 w 16310 0 c 16311 0 j 16312 2 i 16313 0.00 G k 16314 R 16315 R 16316 16317 S 16318 N 16319 27752.00 -21655.00 M 16320 34156.00 -16950.00 L 16321 36061.00 -17005.00 L 16322 S 16323 75 w 16324 0 c 16325 0 j 16326 2 i 16327 0.00 G k 16328 R 16329 R 16330 16331 S 16332 N 16333 29765.00 -24993.00 M 16334 36112.00 -19542.00 L 16335 36112.00 -17114.00 L 16336 S 16337 75 w 16338 0 c 16339 0 j 16340 2 i 16341 0.00 G k 16342 R 16343 R 16344 16345 S 16346 27936 -34013 657 3168 @ 16347 S 16348 0.00 G - + * E 16349 R 16350 S 16351 100 w 16352 0 c 16353 0 j 16354 2 i 16355 0.00 G k 16356 R 16357 R 16358 16359 S 16360 N 16361 28014.00 -30789.00 M 16362 34616.00 -26319.00 L 16363 35158.00 -26319.00 L 16364 28609.00 -30789.00 L 16365 S 16366 75 w 16367 0 c 16368 0 j 16369 2 i 16370 0.00 G k 16371 R 16372 R 16373 16374 S 16375 N 16376 35159.00 -26369.00 M 16377 35159.00 -29208.00 L 16378 28598.00 -34045.00 L 16379 S 16380 75 w 16381 0 c 16382 0 j 16383 2 i 16384 0.00 G k 16385 R 16386 R 16387 16388 S 16389 N 16390 28070.00 -21382.00 M 16391 30187.00 -21382.00 L 16392 30187.00 -24611.00 L 16393 S 16394 75 w 16395 0 c 16396 0 j 16397 2 i 16398 0.00 G k 16399 R 16400 R 16401 16402 S 16403 N 16404 28491.00 -21051.00 M 16405 30609.00 -21051.00 L 16406 30609.00 -24282.00 L 16407 S 16408 75 w 16409 0 c 16410 0 j 16411 2 i 16412 0.00 G k 16413 R 16414 R 16415 16416 S 16417 N 16418 29073.00 -33616.00 M 16419 29073.00 -30462.00 L 16420 28491.00 -30462.00 L 16421 S 16422 75 w 16423 0 c 16424 0 j 16425 2 i 16426 0.00 G k 16427 R 16428 R 16429 16430 S 16431 N 16432 29496.00 -33297.00 M 16433 29496.00 -30145.00 L 16434 28915.00 -30145.00 L 16435 S 16436 75 w 16437 0 c 16438 0 j 16439 2 i 16440 0.00 G k 16441 R 16442 R 16443 16444 S 16445 N 16446 31982.00 -21620.00 M 16447 33692.00 -20185.00 L 16448 S 16449 150 w 16450 0 c 16451 0 j 16452 [100 400] 0 d 16453 0.00 G k 16454 R 16455 R 16456 16457 S 16458 N 16459 31469.00 -29792.00 M 16460 33236.00 -28348.00 L 16461 S 16462 150 w 16463 0 c 16464 0 j 16465 [100 400] 0 d 16466 0.00 G k 16467 R 16468 R 16469 16470 S 16471 28254 -45069 659 3261 @ 16472 S 16473 0.00 G - + * E 16474 R 16475 S 16476 100 w 16477 0 c 16478 0 j 16479 2 i 16480 0.00 G k 16481 R 16482 R 16483 16484 S 16485 N 16486 28333.00 -41749.00 M 16487 34935.00 -37152.00 L 16488 35477.00 -37152.00 L 16489 28927.00 -41749.00 L 16490 S 16491 75 w 16492 0 c 16493 0 j 16494 2 i 16495 0.00 G k 16496 R 16497 R 16498 16499 S 16500 N 16501 35477.00 -37203.00 M 16502 35477.00 -40126.00 L 16503 28915.00 -45102.00 L 16504 S 16505 75 w 16506 0 c 16507 0 j 16508 2 i 16509 0.00 G k 16510 R 16511 R 16512 16513 S 16514 N 16515 29337.00 -44777.00 M 16516 29337.00 -41405.00 L 16517 28861.00 -41405.00 L 16518 S 16519 75 w 16520 0 c 16521 0 j 16522 2 i 16523 0.00 G k 16524 R 16525 R 16526 16527 S 16528 N 16529 29707.00 -44452.00 M 16530 29707.00 -41205.00 L 16531 29231.00 -41205.00 L 16532 S 16533 75 w 16534 0 c 16535 0 j 16536 2 i 16537 0.00 G k 16538 R 16539 R 16540 16541 S 16542 N 16543 31527.00 -41856.00 M 16544 33350.00 -40419.00 L 16545 S 16546 150 w 16547 0 c 16548 0 j 16549 [100 400] 0 d 16550 0.00 G k 16551 R 16552 R 16553 16554 S 16555 6408 -35969 4044 1320 @ 16556 S 16557 0.00 G - + * E 16558 R 16559 S 16560 100 w 16561 0 c 16562 0 j 16563 2 i 16564 0.00 G k 16565 R 16566 R 16567 16568 S 16569 N 16570 6459.00 -34679.00 M 16571 13019.00 -30105.00 L 16572 16445.00 -30105.00 L 16573 10505.00 -34652.00 L 16574 S 16575 75 w 16576 0 c 16577 0 j 16578 2 i 16579 0.00 G k 16580 R 16581 R 16582 16583 S 16584 N 16585 6901.00 -34370.00 M 16586 10756.00 -34370.00 L 16587 10756.00 -35713.00 L 16588 S 16589 75 w 16590 0 c 16591 0 j 16592 2 i 16593 0.00 G k 16594 R 16595 R 16596 16597 S 16598 N 16599 7363.00 -34064.00 M 16600 11218.00 -34064.00 L 16601 11218.00 -35455.00 L 16602 S 16603 75 w 16604 0 c 16605 0 j 16606 2 i 16607 0.00 G k 16608 R 16609 R 16610 16611 S 16612 N 16613 16436.00 -30163.00 M 16614 16436.00 -31362.00 L 16615 10508.00 -35947.00 L 16616 S 16617 75 w 16618 0 c 16619 0 j 16620 2 i 16621 0.00 G k 16622 R 16623 R 16624 16625 S 16626 N 16627 6487.00 -35060.00 M 16628 10508.00 -35060.00 L 16629 16488.00 -30526.00 L 16630 S 16631 75 w 16632 0 c 16633 0 j 16634 2 i 16635 0.00 G k 16636 R 16637 R 16638 16639 S 16640 N 16641 6487.00 -35530.00 M 16642 10508.00 -35530.00 L 16643 16488.00 -30994.00 L 16644 S 16645 75 w 16646 0 c 16647 0 j 16648 2 i 16649 0.00 G k 16650 R 16651 R 16652 16653 S 16654 8585 -1604 M 16655 /Times-Roman-ISOLatin1 F 800 o f 16656 (Blocks) h 16657 R 16658 16659 S 16660 4074 -6206 M 16661 /Times-Roman-ISOLatin1 F 800 o f 16662 (DCT) h 16663 R 16664 16665 S 16666 3023 -6976 M 16667 /Times-Roman-ISOLatin1 F 800 o f 16668 (coefficients) h 16669 R 16670 16671 S 16672 16940 -8844 M 16673 /Times-Roman-ISOLatin1 F 1000 o f 16674 (\(a\) image component) h 16675 R 16676 16677 S 16678 18710 -9709 M 16679 /Times-Roman-ISOLatin1 F 1000 o f 16680 (as quantized) h 16681 R 16682 16683 S 16684 17936 -10669 M 16685 /Times-Roman-ISOLatin1 F 1000 o f 16686 (DCT coefficients) h 16687 R 16688 16689 S 16690 27584 -26840 M 16691 /Times-Roman-ISOLatin1 F 800 o f 16692 (MSB) h 16693 R 16694 16695 S 16696 27853 -28363 M 16697 /Times-Roman-ISOLatin1 F 800 o f 16698 (2) h 16699 0.0 358.0 m 16700 (nd) h 16701 0 -358.0 m 16702 ( scan) h 16703 R 16704 16705 S 16706 6859 -20758 M 16707 /Times-Roman-ISOLatin1 F 800 o f 16708 (1) h 16709 0.0 358.0 m 16710 (st) h 16711 0 -358.0 m 16712 ( scan) h 16713 R 16714 16715 S 16716 6408 -45081 4044 1293 @ 16717 S 16718 0.00 G - + * E 16719 R 16720 S 16721 100 w 16722 0 c 16723 0 j 16724 2 i 16725 0.00 G k 16726 R 16727 R 16728 16729 S 16730 N 16731 6459.00 -43816.00 M 16732 13019.00 -39334.00 L 16733 16445.00 -39334.00 L 16734 10505.00 -43791.00 L 16735 S 16736 75 w 16737 0 c 16738 0 j 16739 2 i 16740 0.00 G k 16741 R 16742 R 16743 16744 S 16745 N 16746 6901.00 -43493.00 M 16747 10803.00 -43493.00 L 16748 10803.00 -44709.00 L 16749 S 16750 75 w 16751 0 c 16752 0 j 16753 2 i 16754 0.00 G k 16755 R 16756 R 16757 16758 S 16759 N 16760 7476.00 -43156.00 M 16761 11377.00 -43156.00 L 16762 11377.00 -44424.00 L 16763 S 16764 75 w 16765 0 c 16766 0 j 16767 2 i 16768 0.00 G k 16769 R 16770 R 16771 16772 S 16773 N 16774 10870.00 -42266.00 M 16775 12410.00 -40955.00 L 16776 S 16777 150 w 16778 0 c 16779 0 j 16780 [100 400] 0 d 16781 0.00 G k 16782 R 16783 R 16784 16785 S 16786 N 16787 16436.00 -39388.00 M 16788 16436.00 -40562.00 L 16789 10508.00 -45061.00 L 16790 S 16791 75 w 16792 0 c 16793 0 j 16794 2 i 16795 0.00 G k 16796 R 16797 R 16798 16799 S 16800 N 16801 6487.00 -44192.00 M 16802 10508.00 -44192.00 L 16803 16488.00 -39744.00 L 16804 S 16805 75 w 16806 0 c 16807 0 j 16808 2 i 16809 0.00 G k 16810 R 16811 R 16812 16813 S 16814 N 16815 6487.00 -44650.00 M 16816 10508.00 -44650.00 L 16817 16488.00 -40203.00 L 16818 S 16819 75 w 16820 0 c 16821 0 j 16822 2 i 16823 0.00 G k 16824 R 16825 R 16826 16827 S 16828 6533 -37579 M 16829 /Times-Roman-ISOLatin1 F 800 o f 16830 (3) h 16831 0.0 358.0 m 16832 (rd) h 16833 0 -358.0 m 16834 ( scan) h 16835 R 16836 16837 S 16838 27519 -36504 M 16839 /Times-Roman-ISOLatin1 F 800 o f 16840 (3) h 16841 0.0 358.0 m 16842 (rd) h 16843 0 -358.0 m 16844 ( scan) h 16845 R 16846 16847 S 16848 27906 -46729 M 16849 /Times-Roman-ISOLatin1 F 800 o f 16850 (\(LSB\)) h 16851 R 16852 16853 S 16854 27906 -47951 M 16855 /Times-Roman-ISOLatin1 F 800 o f 16856 (6) h 16857 0.0 358.0 m 16858 (th) h 16859 0 -358.0 m 16860 ( scan) h 16861 R 16862 16863 S 16864 32477 -24147 M 16865 /Times-Roman-ISOLatin1 F 800 o f 16866 (sending) h 16867 R 16868 16869 S 16870 14094 -34924 M 16871 /Times-Roman-ISOLatin1 F 800 o f 16872 (sending) h 16873 R 16874 16875 S 16876 14011 -43670 M 16877 /Times-Roman-ISOLatin1 F 800 o f 16878 (sending) h 16879 R 16880 16881 S 16882 32059 -44171 M 16883 /Times-Roman-ISOLatin1 F 800 o f 16884 (sending) h 16885 R 16886 16887 S 16888 31912 -32940 M 16889 /Times-Roman-ISOLatin1 F 800 o f 16890 (sending) h 16891 R 16892 16893 S 16894 N 16895 10629.00 -10527.00 M 16896 11896.00 -10527.00 L 16897 S 16898 75 w 16899 0 c 16900 0 j 16901 2 i 16902 0.00 G k 16903 R 16904 R 16905 S 16906 N 16907 11441.00 -10781.00 M 16908 11985.00 -10527.00 L 16909 11441.00 -10274.00 L 16910 S 16911 75 w 16912 0 c 16913 0 j 16914 2 i 16915 0.00 G k 16916 R 16917 R 16918 16919 S 16920 N 16921 31350.00 -24176.00 M 16922 33120.00 -22714.00 L 16923 S 16924 75 w 16925 0 c 16926 0 j 16927 2 i 16928 0.00 G k 16929 R 16930 R 16931 S 16932 N 16933 32930.00 -23199.00 M 16934 33188.00 -22658.00 L 16935 32607.00 -22808.00 L 16936 S 16937 75 w 16938 0 c 16939 0 j 16940 2 i 16941 0.00 G k 16942 R 16943 R 16944 16945 S 16946 N 16947 30555.00 -33224.00 M 16948 32324.00 -31762.00 L 16949 S 16950 75 w 16951 0 c 16952 0 j 16953 2 i 16954 0.00 G k 16955 R 16956 R 16957 S 16958 N 16959 32135.00 -32247.00 M 16960 32392.00 -31706.00 L 16961 31811.00 -31857.00 L 16962 S 16963 75 w 16964 0 c 16965 0 j 16966 2 i 16967 0.00 G k 16968 R 16969 R 16970 16971 S 16972 N 16973 30662.00 -44524.00 M 16974 32429.00 -43059.00 L 16975 S 16976 75 w 16977 0 c 16978 0 j 16979 2 i 16980 0.00 G k 16981 R 16982 R 16983 S 16984 N 16985 32240.00 -43545.00 M 16986 32497.00 -43003.00 L 16987 31917.00 -43155.00 L 16988 S 16989 75 w 16990 0 c 16991 0 j 16992 2 i 16993 0.00 G k 16994 R 16995 R 16996 16997 S 16998 N 16999 12784.00 -43931.00 M 17000 14621.00 -42531.00 L 17001 S 17002 75 w 17003 0 c 17004 0 j 17005 2 i 17006 0.00 G k 17007 R 17008 R 17009 S 17010 N 17011 14413.00 -43008.00 M 17012 14692.00 -42477.00 L 17013 14106.00 -42605.00 L 17014 S 17015 75 w 17016 0 c 17017 0 j 17018 2 i 17019 0.00 G k 17020 R 17021 R 17022 17023 S 17024 N 17025 13154.00 -34829.00 M 17026 14925.00 -33364.00 L 17027 S 17028 75 w 17029 0 c 17030 0 j 17031 2 i 17032 0.00 G k 17033 R 17034 R 17035 S 17036 N 17037 14736.00 -33850.00 M 17038 14993.00 -33308.00 L 17039 14413.00 -33459.00 L 17040 S 17041 75 w 17042 0 c 17043 0 j 17044 2 i 17045 0.00 G k 17046 R 17047 R 17048 17049 S 17050 N 17051 12784.00 -18057.00 M 17052 14555.00 -16594.00 L 17053 S 17054 75 w 17055 0 c 17056 0 j 17057 2 i 17058 0.00 G k 17059 R 17060 R 17061 S 17062 N 17063 14365.00 -17079.00 M 17064 14623.00 -16538.00 L 17065 14042.00 -16688.00 L 17066 S 17067 75 w 17068 0 c 17069 0 j 17070 2 i 17071 0.00 G k 17072 R 17073 R 17074 17075 S 17076 N 17077 10203.00 -6420.00 M 17078 11270.00 -6420.00 L 17079 S 17080 75 w 17081 0 c 17082 0 j 17083 2 i 17084 [100 400] 0 d 17085 0.00 G k 17086 R 17087 R 17088 17089 S 17090 N 17091 10754.00 -5815.00 M 17092 10754.00 -7112.00 L 17093 S 17094 75 w 17095 0 c 17096 0 j 17097 2 i 17098 [100 400] 0 d 17099 0.00 G k 17100 R 17101 R 17102 17103 S 17104 7797 -4435 M 17105 /Times-Roman-ISOLatin1 F 800 o f 17106 (0) h 17107 R 17108 17109 S 17110 7806 -5153 M 17111 /Times-Roman-ISOLatin1 F 800 o f 17112 (1) h 17113 R 17114 17115 S 17116 7651 -8208 M 17117 /Times-Roman-ISOLatin1 F 800 o f 17118 (62) h 17119 R 17120 17121 S 17122 7652 -8936 M 17123 /Times-Roman-ISOLatin1 F 800 o f 17124 (63) h 17125 R 17126 17127 S 17128 8299 -3638 M 17129 /Times-Roman-ISOLatin1 F 800 o f 17130 (1) h 17131 R 17132 17133 S 17134 9159 -3368 M 17135 /Times-Roman-ISOLatin1 F 800 o f 17136 (2) h 17137 R 17138 17139 S 17140 9109 -9691 M 17141 /Times-Roman-ISOLatin1 F 800 o f 17142 (7) h 17143 R 17144 17145 S 17146 9960 -9762 M 17147 /Times-Roman-ISOLatin1 F 800 o f 17148 (6) h 17149 R 17150 17151 S 17152 13016 -9692 M 17153 /Times-Roman-ISOLatin1 F 800 o f 17154 (1) h 17155 R 17156 17157 S 17158 13835 -9692 M 17159 /Times-Roman-ISOLatin1 F 800 o f 17160 (0) h 17161 R 17162 17163 S 17164 8804 -10813 M 17165 /Times-Roman-ISOLatin1 F 800 o f 17166 (MSB) h 17167 R 17168 17169 S 17170 12578 -10813 M 17171 /Times-Roman-ISOLatin1 F 800 o f 17172 (LSB) h 17173 R 17174 17175 S 17176 5934 -18462 M 17177 /Times-Roman-ISOLatin1 F 800 o f 17178 (0) h 17179 R 17180 17181 S 17182 27733 -25901 M 17183 /Times-Roman-ISOLatin1 F 800 o f 17184 (7) h 17185 R 17186 17187 S 17188 28232 -25901 M 17189 /Times-Roman-ISOLatin1 F 800 o f 17190 (6) h 17191 R 17192 17193 S 17194 28729 -25900 M 17195 /Times-Roman-ISOLatin1 F 800 o f 17196 (5) h 17197 R 17198 17199 S 17200 29338 -25901 M 17201 /Times-Roman-ISOLatin1 F 800 o f 17202 (4) h 17203 R 17204 17205 S 17206 28157 -34924 M 17207 /Times-Roman-ISOLatin1 F 800 o f 17208 (3) h 17209 R 17210 17211 S 17212 5754 -35249 M 17213 /Times-Roman-ISOLatin1 F 800 o f 17214 (3) h 17215 R 17216 17217 S 17218 5754 -35719 M 17219 /Times-Roman-ISOLatin1 F 800 o f 17220 (4) h 17221 R 17222 17223 S 17224 5754 -36191 M 17225 /Times-Roman-ISOLatin1 F 800 o f 17226 (5) h 17227 R 17228 17229 S 17230 5559 -44264 M 17231 /Times-Roman-ISOLatin1 F 800 o f 17232 (61) h 17233 R 17234 17235 S 17236 5559 -44889 M 17237 /Times-Roman-ISOLatin1 F 800 o f 17238 (62) h 17239 R 17240 17241 S 17242 5560 -45516 M 17243 /Times-Roman-ISOLatin1 F 800 o f 17244 (63) h 17245 R 17246 17247 S 17248 28498 -46101 M 17249 /Times-Roman-ISOLatin1 F 800 o f 17250 (0) h 17251 R 17252 17253 S 17254 N 17255 9232.00 -2405.00 M 17256 12267.00 -1312.00 L 17257 S 17258 75 w 17259 0 c 17260 0 j 17261 2 i 17262 0.00 G k 17263 R 17264 R 17265 S 17266 N 17267 11925.00 -1704.00 M 17268 12351.00 -1281.00 L 17269 11753.00 -1227.00 L 17270 S 17271 75 w 17272 0 c 17273 0 j 17274 2 i 17275 0.00 G k 17276 R 17277 R 17278 17279 S 17280 N 17281 7044.00 -17494.00 M 17282 10906.00 -17494.00 L 17283 10906.00 -18296.00 L 17284 S 17285 75 w 17286 0 c 17287 0 j 17288 2 i 17289 0.00 G k 17290 R 17291 R 17292 17293 S 17294 N 17295 7499.00 -17223.00 M 17296 11289.00 -17223.00 L 17297 11289.00 -18060.00 L 17298 S 17299 75 w 17300 0 c 17301 0 j 17302 2 i 17303 0.00 G k 17304 R 17305 R 17306 17307 S 17308 3940 -51149 M 17309 /Times-Roman-ISOLatin1 F 1000 o f 17310 (Figure 11. Spectral Selection and Successive Approximation Methods of Progressive Encoding) h 17311 R 17312 17313 S 17314 N 17315 29672.00 -24989.00 M 17316 29672.00 -21743.00 L 17317 36017.00 -17076.00 L 17318 S 17319 75 w 17320 0 c 17321 0 j 17322 2 i 17323 0.00 G k 17324 R 17325 R 17326 17327 S 17328 N 17329 18315.00 -5036.00 M 17330 20075.00 -4182.00 L 17331 S 17332 75 w 17333 0 c 17334 0 j 17335 2 i 17336 [100 400] 0 d 17337 0.00 G k 17338 R 17339 R 17340 17341 S 17342 N 17343 19098.00 -4110.00 M 17344 19098.00 -5323.00 L 17345 S 17346 75 w 17347 0 c 17348 0 j 17349 2 i 17350 [100 400] 0 d 17351 0.00 G k 17352 R 17353 R 17354 17355 S 17356 N 17357 14358.00 -3042.00 M 17358 16000.00 -2471.00 L 17359 S 17360 75 w 17361 0 c 17362 0 j 17363 2 i 17364 [100 400] 0 d 17365 0.00 G k 17366 R 17367 R 17368 17369 S 17370 N 17371 14684.00 -2542.00 M 17372 15662.00 -2970.00 L 17373 S 17374 75 w 17375 0 c 17376 0 j 17377 2 i 17378 [100 400] 0 d 17379 0.00 G k 17380 R 17381 R 17382 17383 S 17384 N 17385 10224.00 -6462.00 M 17386 11658.00 -6462.00 L 17387 S 17388 75 w 17389 0 c 17390 0 j 17391 2 i 17392 [100 400] 0 d 17393 0.00 G k 17394 R 17395 R 17396 17397 S 17398 N 17399 10875.00 -5678.00 M 17400 10875.00 -7319.00 L 17401 S 17402 75 w 17403 0 c 17404 0 j 17405 2 i 17406 [100 400] 0 d 17407 0.00 G k 17408 R 17409 R 17410 17411 S 17412 N 17413 6893.00 -4894.00 M 17414 6893.00 -7995.00 L 17415 S 17416 75 w 17417 0 c 17418 0 j 17419 2 i 17420 0.00 G k 17421 R 17422 R 17423 S 17424 N 17425 6640.00 -7540.00 M 17426 6893.00 -8084.00 L 17427 7147.00 -7540.00 L 17428 S 17429 75 w 17430 0 c 17431 0 j 17432 2 i 17433 0.00 G k 17434 R 17435 R 17436 17437 S 17438 14019 -17828 M 17439 /Times-Roman-ISOLatin1 F 800 o f 17440 (sending) h 17441 R 17442 17443 S 17444 7146 -46597 M 17445 /Times-Roman-ISOLatin1 F 800 o f 17446 (n) h 17447 0.0 358.0 m 17448 (th) h 17449 0 -358.0 m 17450 ( scan) h 17451 R 17452 17453 S 17454 3868 -49347 M 17455 /Times-Roman-ISOLatin1 F 900 o f 17456 (c\) progressive encoding: spectral selection) h 17457 R 17458 17459 S 17460 22272 -49418 M 17461 /Times-Roman-ISOLatin1 F 900 o f 17462 (d\) progressive encoding: successive approximation) h 17463 R 17464 17465 S 17466 6761 -39209 M 17467 /Symbol F 800 o f 17468 (\267) h 17469 R 17470 17471 S 17472 6761 -40349 M 17473 /Symbol F 800 o f 17474 (\267) h 17475 R 17476 17477 S 17478 6761 -41490 M 17479 /Symbol F 800 o f 17480 (\267) h 17481 R 17482 17483 S 17484 28181 -38240 M 17485 /Symbol F 800 o f 17486 (\267) h 17487 R 17488 17489 S 17490 28181 -39379 M 17491 /Symbol F 800 o f 17492 (\267) h 17493 R 17494 17495 S 17496 28181 -40518 M 17497 /Symbol F 800 o f 17498 (\267) h 17499 R 17500 17501 S 17502 8608 -8890 5712 5048 @ 17503 S 17504 0.00 G - + * E 17505 R 17506 S 17507 100 w 17508 0 c 17509 0 j 17510 2 i 17511 0.00 G k 17512 R 17513 R 17514 17515 S 17516 N 17517 8480.00 -3864.00 M 17518 19987.00 -616.00 L 17519 24607.00 -616.00 L 17520 14376.00 -3864.00 L 17521 S 17522 75 w 17523 0 c 17524 0 j 17525 2 i 17526 0.00 G k 17527 R 17528 R 17529 17530 S 17531 N 17532 14339.00 -8897.00 M 17533 24606.00 -4823.00 L 17534 24606.00 -751.00 L 17535 S 17536 75 w 17537 0 c 17538 0 j 17539 2 i 17540 0.00 G k 17541 R 17542 R 17543 17544 S 17545 N 17546 9448.00 -3798.00 M 17547 20752.00 -618.00 L 17548 S 17549 75 w 17550 0 c 17551 0 j 17552 2 i 17553 0.00 G k 17554 R 17555 R 17556 17557 S 17558 N 17559 10340.00 -3798.00 M 17560 21712.00 -553.00 L 17561 S 17562 75 w 17563 0 c 17564 0 j 17565 2 i 17566 0.00 G k 17567 R 17568 R 17569 17570 S 17571 N 17572 13375.00 -3864.00 M 17573 23711.00 -552.00 L 17574 S 17575 75 w 17576 0 c 17577 0 j 17578 2 i 17579 0.00 G k 17580 R 17581 R 17582 17583 S 17584 N 17585 12411.00 -3864.00 M 17586 22746.00 -552.00 L 17587 S 17588 75 w 17589 0 c 17590 0 j 17591 2 i 17592 0.00 G k 17593 R 17594 R 17595 17596 S 17597 N 17598 9310.00 -3667.00 M 17599 14822.00 -3667.00 L 17600 14822.00 -8565.00 L 17601 S 17602 75 w 17603 0 c 17604 0 j 17605 2 i 17606 0.00 G k 17607 R 17608 R 17609 17610 S 17611 N 17612 9792.00 -3468.00 M 17613 15305.00 -3468.00 L 17614 15305.00 -8366.00 L 17615 S 17616 75 w 17617 0 c 17618 0 j 17619 2 i 17620 0.00 G k 17621 R 17622 R 17623 17624 S 17625 N 17626 8690.00 -4528.00 M 17627 14384.00 -4528.00 L 17628 24606.00 -1214.00 L 17629 S 17630 75 w 17631 0 c 17632 0 j 17633 2 i 17634 0.00 G k 17635 R 17636 R 17637 17638 S 17639 N 17640 8690.00 -5190.00 M 17641 14359.00 -5190.00 L 17642 24537.00 -1878.00 L 17643 S 17644 75 w 17645 0 c 17646 0 j 17647 2 i 17648 0.00 G k 17649 R 17650 R 17651 17652 S 17653 N 17654 8690.00 -8234.00 M 17655 14359.00 -8234.00 L 17656 24606.00 -4194.00 L 17657 S 17658 75 w 17659 0 c 17660 0 j 17661 2 i 17662 0.00 G k 17663 R 17664 R 17665 17666 S 17667 N 17668 8690.00 -7504.00 M 17669 14336.00 -7504.00 L 17670 24537.00 -3533.00 L 17671 S 17672 75 w 17673 0 c 17674 0 j 17675 2 i 17676 0.00 G k 17677 R 17678 R 17679 17680 S 17681 N 17682 9517.00 -3864.00 M 17683 9517.00 -8964.00 L 17684 S 17685 75 w 17686 0 c 17687 0 j 17688 2 i 17689 0.00 G k 17690 R 17691 R 17692 17693 S 17694 N 17695 10413.00 -3864.00 M 17696 10413.00 -8964.00 L 17697 S 17698 75 w 17699 0 c 17700 0 j 17701 2 i 17702 0.00 G k 17703 R 17704 R 17705 17706 S 17707 N 17708 13581.00 -3864.00 M 17709 13581.00 -8964.00 L 17710 S 17711 75 w 17712 0 c 17713 0 j 17714 2 i 17715 0.00 G k 17716 R 17717 R 17718 17719 S 17720 N 17721 12686.00 -3864.00 M 17722 12686.00 -8964.00 L 17723 S 17724 75 w 17725 0 c 17726 0 j 17727 2 i 17728 0.00 G k 17729 R 17730 R 17731 17732 S 17733 N 17734 26725.00 -22712.00 M 17735 26725.00 -23700.00 L 17736 S 17737 150 w 17738 0 c 17739 0 j 17740 [100 400] 0 d 17741 0.00 G k 17742 R 17743 R 17744 17745 S 17746 26651 -22398 M 17747 /Times-Roman-ISOLatin1 F 800 o f 17748 (2) h 17749 R 17750 17751 S 17752 26377 -24313 M 17753 /Times-Roman-ISOLatin1 F 800 o f 17754 (62) h 17755 R 17756 17757 S 17758 26377 -25040 M 17759 /Times-Roman-ISOLatin1 F 800 o f 17760 (63) h 17761 R 17762 17763 S 17764 26619 -21752 M 17765 /Times-Roman-ISOLatin1 F 800 o f 17766 (1) h 17767 R 17768 17769 S 17770 26256 -17201 4043 750 @ 17771 S 17772 0.00 G - + * E 17773 R 17774 S 17775 75 w 17776 0 c 17777 0 j 17778 2 i 17779 0.00 G k 17780 R 17781 R 17782 17783 S 17784 N 17785 26307.00 -16481.00 M 17786 32866.00 -11908.00 L 17787 36293.00 -11908.00 L 17788 30353.00 -16453.00 L 17789 S 17790 75 w 17791 0 c 17792 0 j 17793 2 i 17794 0.00 G k 17795 R 17796 R 17797 17798 S 17799 N 17800 30384.00 -17169.00 M 17801 36306.00 -12642.00 L 17802 36306.00 -11896.00 L 17803 S 17804 75 w 17805 0 c 17806 0 j 17807 2 i 17808 0.00 G k 17809 R 17810 R 17811 17812 S 17813 26324 -18004 M 17814 /Times-Roman-ISOLatin1 F 800 o f 17815 (7 . . . . 0) h 17816 R 17817 17818 S 17819 25568 -17191 M 17820 /Times-Roman-ISOLatin1 F 800 o f 17821 (0) h 17822 R 17823 17824 S 17825 26706 -19382 M 17826 /Times-Roman-ISOLatin1 F 800 o f 17827 (1) h 17828 0.0 358.0 m 17829 (st) h 17830 0 -358.0 m 17831 ( scan) h 17832 R 17833 17834 S 17835 22215 -6305 4985 7815 @ 17836 S 17837 0.00 G - + * E 17838 R 17839 R 17840 17841 S 17842 17516 -1346 7671 1999 @ 17843 S 17844 0.00 G - + * E 17845 R 17846 R 17847 17848 S 17849 N 17850 17439.00 -1330.00 M 17851 22168.00 -1330.00 L 17852 22168.00 -5748.00 L 17853 S 17854 75 w 17855 0 c 17856 0 j 17857 2 i 17858 0.00 G k 17859 R 17860 R 17861 17862 S 17863 28685 -9812 4043 3950 @ 17864 S 17865 0.00 G - + * E 17866 R 17867 S 17868 100 w 17869 0 c 17870 0 j 17871 2 i 17872 0.00 G k 17873 R 17874 R 17875 17876 S 17877 N 17878 28684.00 -5898.00 M 17879 35241.00 -149.00 L 17880 38669.00 -149.00 L 17881 32728.00 -5866.00 L 17882 S 17883 75 w 17884 0 c 17885 0 j 17886 2 i 17887 0.00 G k 17888 R 17889 R 17890 17891 S 17892 N 17893 38633.00 -149.00 M 17894 38633.00 -3395.00 L 17895 32803.00 -9738.00 L 17896 S 17897 75 w 17898 0 c 17899 0 j 17900 2 i 17901 0.00 G k 17902 R 17903 R 17904 17905 S 17906 N 17907 29391.00 -5360.00 M 17908 33271.00 -5360.00 L 17909 33271.00 -9272.00 L 17910 S 17911 75 w 17912 0 c 17913 0 j 17914 2 i 17915 0.00 G k 17916 R 17917 R 17918 17919 S 17920 N 17921 29771.00 -4897.00 M 17922 33706.00 -4897.00 L 17923 33706.00 -8811.00 L 17924 S 17925 75 w 17926 0 c 17927 0 j 17928 2 i 17929 0.00 G k 17930 R 17931 R 17932 17933 S 17934 N 17935 35650.00 -4967.00 M 17936 36962.00 -3846.00 L 17937 S 17938 150 w 17939 0 c 17940 0 j 17941 [100 400] 0 d 17942 0.00 G k 17943 R 17944 R 17945 17946 S 17947 27998 -11153 M 17948 /Times-Roman-ISOLatin1 F 1000 o f 17949 (\(b\) Sequential encoding) h 17950 R 17951 17952 S 17953 36964 -6785 M 17954 /Times-Roman-ISOLatin1 F 800 o f 17955 (sending) h 17956 R 17957 17958 S 17959 N 17960 35852.00 -7340.00 M 17961 37402.00 -5494.00 L 17962 S 17963 75 w 17964 0 c 17965 0 j 17966 2 i 17967 0.00 G k 17968 R 17969 R 17970 S 17971 N 17972 37304.00 -6005.00 M 17973 37459.00 -5426.00 L 17974 36916.00 -5679.00 L 17975 S 17976 75 w 17977 0 c 17978 0 j 17979 2 i 17980 0.00 G k 17981 R 17982 R 17983 17984 S 17985 N 17986 33515.00 -3361.00 M 17987 34771.00 -2174.00 L 17988 S 17989 150 w 17990 0 c 17991 0 j 17992 [100 400] 0 d 17993 0.00 G k 17994 R 17995 R 17996 17997 S 17998 6408 -27700 4044 1319 @ 17999 S 18000 0.00 G - + * E 18001 R 18002 S 18003 100 w 18004 0 c 18005 0 j 18006 2 i 18007 0.00 G k 18008 R 18009 R 18010 18011 S 18012 N 18013 6459.00 -26412.00 M 18014 13019.00 -21838.00 L 18015 16445.00 -21838.00 L 18016 10505.00 -26384.00 L 18017 S 18018 75 w 18019 0 c 18020 0 j 18021 2 i 18022 0.00 G k 18023 R 18024 R 18025 18026 S 18027 N 18028 6901.00 -26103.00 M 18029 10756.00 -26103.00 L 18030 10756.00 -27444.00 L 18031 S 18032 75 w 18033 0 c 18034 0 j 18035 2 i 18036 0.00 G k 18037 R 18038 R 18039 18040 S 18041 N 18042 7363.00 -25797.00 M 18043 11218.00 -25797.00 L 18044 11218.00 -27189.00 L 18045 S 18046 75 w 18047 0 c 18048 0 j 18049 2 i 18050 0.00 G k 18051 R 18052 R 18053 18054 S 18055 N 18056 16436.00 -21894.00 M 18057 16436.00 -23094.00 L 18058 10508.00 -27680.00 L 18059 S 18060 75 w 18061 0 c 18062 0 j 18063 2 i 18064 0.00 G k 18065 R 18066 R 18067 18068 S 18069 N 18070 6487.00 -27121.00 M 18071 10508.00 -27121.00 L 18072 16488.00 -22585.00 L 18073 S 18074 75 w 18075 0 c 18076 0 j 18077 2 i 18078 0.00 G k 18079 R 18080 R 18081 18082 S 18083 6533 -29311 M 18084 /Times-Roman-ISOLatin1 F 800 o f 18085 (2) h 18086 0.0 358.0 m 18087 (nd) h 18088 0 -358.0 m 18089 ( scan) h 18090 R 18091 18092 S 18093 14094 -26658 M 18094 /Times-Roman-ISOLatin1 F 800 o f 18095 (sending) h 18096 R 18097 18098 S 18099 N 18100 13154.00 -26562.00 M 18101 14925.00 -25096.00 L 18102 S 18103 75 w 18104 0 c 18105 0 j 18106 2 i 18107 0.00 G k 18108 R 18109 R 18110 S 18111 N 18112 14736.00 -25582.00 M 18113 14993.00 -25040.00 L 18114 14413.00 -25191.00 L 18115 S 18116 75 w 18117 0 c 18118 0 j 18119 2 i 18120 0.00 G k 18121 R 18122 R 18123 18124 S 18125 5825 -26910 M 18126 /Times-Roman-ISOLatin1 F 800 o f 18127 (1) h 18128 R 18129 18130 S 18131 5826 -27665 M 18132 /Times-Roman-ISOLatin1 F 800 o f 18133 (2) h 18134 R 18135 18136 S 18137 6407 -18554 4044 752 @ 18138 S 18139 0.00 G - + * E 18140 R 18141 S 18142 75 w 18143 0 c 18144 0 j 18145 2 i 18146 0.00 G k 18147 R 18148 R 18149 18150 S 18151 N 18152 6458.00 -17835.00 M 18153 13018.00 -13262.00 L 18154 16444.00 -13262.00 L 18155 10505.00 -17805.00 L 18156 S 18157 75 w 18158 0 c 18159 0 j 18160 2 i 18161 0.00 G k 18162 R 18163 R 18164 18165 S 18166 N 18167 10535.00 -18523.00 M 18168 16459.00 -13996.00 L 18169 16459.00 -13249.00 L 18170 S 18171 75 w 18172 0 c 18173 0 j 18174 2 i 18175 0.00 G k 18176 R 18177 R 18178 18179 R 18180 18181 18182 R 18183 R 18184 18185 S 18186 29816 -75834 M 18187 /Times-Roman-ISOLatin1 F 1000 o f 18188 (14) h 18189 R 18190 18191 showpage 18192 $P e 18193 18194 %%Page: 15 15 18195 /$P a D 18196 g N 18197 0 79200 T 18198 S 18199 S 18200 7200 -2700 T 18201 N 18202 0 G 18203 300 -1200 M 18204 -7200 2700 T 18205 R 18206 18207 S 18208 7200 -74700 T 18209 N 18210 0 G 18211 300 -1200 M 18212 -7200 74700 T 18213 R 18214 18215 R 18216 S 18217 7192 -7189 T 18218 N 18219 0 G 18220 300 -1200 M 18221 /Times-Bold-ISOLatin1 $ 18222 /Times-Bold & P 18223 /Times-Bold-ISOLatin1 F 1200 o f 18224 (10 Other Aspects of the JPEG Proposal) h 18225 300 -2950 M 18226 /Times-Roman-ISOLatin1 $ 18227 /Times-Roman & P 18228 /Times-Roman-ISOLatin1 F 1000 o f 18229 59.4 0 32 (Some key aspects of the proposed standard can only) W 18230 300 -4050 M 18231 250.3 0 32 (be mentioned briefly. Foremost among these are) W 18232 300 -5150 M 18233 556.2 0 32 (points concerning the coded representation for) W 18234 300 -6250 M 18235 159.0 0 32 (compressed image data specified in addition to the) W 18236 300 -7350 M 18237 (encoding and decoding procedures.) h 18238 300 -8450 M 18239 300 -9550 M 18240 203.5 0 32 (Most importantly, an ) W 18241 /Times-Italic-ISOLatin1 $ 18242 /Times-Italic & P 18243 /Times-Italic-ISOLatin1 F 1000 o f 18244 203.5 0 32 (interchange format) W 18245 /Times-Roman-ISOLatin1 F 1000 o f 18246 203.5 0 32 ( syntax is) W 18247 300 -10650 M 18248 356.2 0 32 (specified which ensures that a JPEG\255compressed) W 18249 300 -11750 M 18250 567.6 0 32 (image can be exchanged successfully between) W 18251 300 -12850 M 18252 231.8 0 32 (different application environments. The format is) W 18253 300 -13950 M 18254 357.9 0 32 (structured in a consistent way for all modes of) W 18255 300 -15050 M 18256 139.5 0 32 (operation. The interchange format always includes) W 18257 300 -16150 M 18258 367.0 0 32 (all quantization and entropy\255coding tables which) W 18259 300 -17250 M 18260 (were used to compress the image.) h 18261 300 -18350 M 18262 300 -19450 M 18263 63.5 0 32 (Applications \(and application\255specific standards\) are) W 18264 300 -20550 M 18265 423.9 0 32 (the ) W 18266 423.9 0 32 (\026) W 18267 423.9 0 32 (users) W 18268 423.9 0 32 (\027) W 18269 423.9 0 32 ( of the JPEG standard. The JPEG) W 18270 300 -21650 M 18271 352.0 0 32 (standard imposes no requirement that, within an) W 18272 300 -22750 M 18273 315.2 0 32 (application's environment, all or even any tables) W 18274 300 -23850 M 18275 222.6 0 32 (must be encoded with the compressed image data) W 18276 300 -24950 M 18277 657.5 0 32 (during storage or transmission. This leaves) W 18278 300 -26050 M 18279 532.8 0 32 (applications the freedom to specify default or) W 18280 300 -27150 M 18281 103.0 0 32 (referenced tables if they are considered appropriate. ) W 18282 300 -28250 M 18283 135.5 0 32 (It also leaves them the responsibility to ensure that) W 18284 300 -29350 M 18285 993.3 0 32 (JPEG\255compliant decoders used within their) W 18286 300 -30450 M 18287 66.3 0 32 (environment get loaded with the proper tables at the) W 18288 300 -31550 M 18289 69.9 0 32 (proper times, and that the proper tables are included) W 18290 300 -32650 M 18291 72.0 0 32 (in the interchange format when a compressed image) W 18292 300 -33750 M 18293 (is ) h 18294 (\026) h 18295 (exported) h 18296 (\027) h 18297 ( outside the application.) h 18298 300 -34850 M 18299 300 -35950 M 18300 127.3 0 32 (Some of the important applications that are already) W 18301 300 -37050 M 18302 301.7 0 32 (in the process of adopting JPEG compression or) W 18303 300 -38150 M 18304 226.0 0 32 (have stated their interest in doing so are Adobe's) W 18305 300 -39250 M 18306 333.3 0 32 (PostScript language for printing systems [1], the) W 18307 300 -40350 M 18308 87.6 0 32 (Raster Content portion of the ISO Office Document) W 18309 300 -41450 M 18310 47.2 0 32 (Architecture and Interchange Format [13], the future) W 18311 300 -42550 M 18312 185.7 0 32 (CCITT color facsimile standard, and the European) W 18313 300 -43650 M 18314 (ETSI videotext standard [10].) h 18315 300 -44750 M 18316 300 -45850 M 18317 300 -47100 M 18318 /Times-Bold-ISOLatin1 F 1200 o f 18319 (11 Standardization Schedule) h 18320 300 -48850 M 18321 /Times-Roman-ISOLatin1 F 1000 o f 18322 76.4 0 32 (JPEG's ISO standard will be divided into two parts. ) W 18323 300 -49950 M 18324 114.4 0 32 (Part 1 [2] will specify the four modes of operation,) W 18325 300 -51050 M 18326 147.4 0 32 (the different codecs specified for those modes, and) W 18327 300 -52150 M 18328 423.9 0 32 (the interchange format. It will also contain a) W 18329 300 -53250 M 18330 131.8 0 32 (substantial informational section on implementation) W 18331 300 -54350 M 18332 180.8 0 32 (guidelines. Part 2 [3] will specify the compliance) W 18333 300 -55450 M 18334 458.8 0 32 (tests which will determine whether an encoder) W 18335 300 -56550 M 18336 433.6 0 32 (implementation, a decoder implementation, or a) W 18337 300 -57650 M 18338 618.8 0 32 (JPEG\255compressed image in interchange format) W 18339 300 -58750 M 18340 40.1 0 32 (comply with the Part 1 specifications. In addition to) W 18341 300 -59850 M 18342 222.8 0 32 (the ISO documents referenced, the JPEG standard) W 18343 300 -60950 M 18344 (will also be issued as CCITT Recommendation T.81.) h 18345 300 -62050 M 18346 -7192 7189 T 18347 R 18348 18349 S 18350 32040 -7189 T 18351 N 18352 0 G 18353 300 -1050 M 18354 /Times-Roman-ISOLatin1 F 1000 o f 18355 378.8 0 32 (There are two key balloting phases in the ISO) W 18356 300 -2150 M 18357 125.3 0 32 (standardization process: a Committee Draft \(CD\) is) W 18358 300 -3250 M 18359 1011.2 0 32 (balloted to determine promotion to Draft) W 18360 300 -4350 M 18361 0.3 0 32 (International Standard \(DIS\), and a DIS is balloted to) W 18362 300 -5450 M 18363 139.2 0 32 (determine promotion to International Standard \(IS\). ) W 18364 300 -6550 M 18365 545.1 0 32 (A CD ballot requires four to six months of) W 18366 300 -7650 M 18367 271.0 0 32 (processing, and a DIS ballot requires six to nine) W 18368 300 -8750 M 18369 243.1 0 32 (months of processing. JPEG's Part 1 began DIS) W 18370 300 -9850 M 18371 312.6 0 32 (ballot in November 1991, and Part 2 began CD) W 18372 300 -10950 M 18373 (ballot in December 1991.) h 18374 300 -12050 M 18375 300 -13150 M 18376 111.3 0 32 (Though there is no guarantee that the first ballot of) W 18377 300 -14250 M 18378 3.1 0 32 (each phase will result in promotion to the next, JPEG) W 18379 300 -15350 M 18380 5.1 0 32 (achieved promotion of CD Part 1 to DIS Part 1 in the) W 18381 300 -16450 M 18382 371.6 0 32 (first ballot. Moreover, JPEG's DIS Part 1 has) W 18383 300 -17550 M 18384 264.5 0 32 (undergone no technical changes \(other than some) W 18385 300 -18650 M 18386 23.7 0 32 (minor corrections\) since JPEG's final Working Draft) W 18387 300 -19750 M 18388 170.6 0 32 (\(WD\) [14]. Thus, Part 1 has remained unchanged) W 18389 300 -20850 M 18390 38.0 0 32 (from the final WD, through CD, and into DIS. If all) W 18391 300 -21950 M 18392 59.0 0 32 (goes well, Part 1 should receive final approval as an) W 18393 300 -23050 M 18394 46.2 0 32 (IS in mid\2551992, with Part 2 getting final IS approval) W 18395 300 -24150 M 18396 (about nine months later. ) h 18397 300 -25250 M 18398 300 -26350 M 18399 300 -27600 M 18400 /Times-Bold-ISOLatin1 F 1200 o f 18401 (12 Conclusions) h 18402 300 -29350 M 18403 /Times-Roman-ISOLatin1 F 1000 o f 18404 965.5 0 32 (The emerging JPEG continuous\255tone image) W 18405 300 -30450 M 18406 17.6 0 32 (compression standard is not a panacea that will solve) W 18407 300 -31550 M 18408 190.9 0 32 (the myriad issues which must be addressed before) W 18409 300 -32650 M 18410 100.6 0 32 (digital images will be fully integrated within all the) W 18411 300 -33750 M 18412 157.3 0 32 (applications that will ultimately benefit from them. ) W 18413 300 -34850 M 18414 241.2 0 32 (For example, if two applications cannot exchange) W 18415 300 -35950 M 18416 22.8 0 32 (uncompressed images because they use incompatible) W 18417 300 -37050 M 18418 190.9 0 32 (color spaces, aspect ratios, dimensions, etc. then a) W 18419 300 -38150 M 18420 (common compression method will not help.) h 18421 300 -39250 M 18422 300 -40350 M 18423 100.0 0 32 (However, a great many applications are ) W 18424 100.0 0 32 (\026) W 18425 100.0 0 32 (stuck) W 18426 100.0 0 32 (\027) W 18427 100.0 0 32 ( be\255) W 18428 300 -41450 M 18429 21.4 0 32 (cause of storage or transmission costs, because of ar\255) W 18430 300 -42550 M 18431 632.5 0 32 (gument over which \(nonstandard\) compression) W 18432 300 -43650 M 18433 114.7 0 32 (method to use, or because VLSI codecs are too ex\255) W 18434 300 -44750 M 18435 52.1 0 32 (pensive due to low volumes. For these applications,) W 18436 300 -45850 M 18437 105.8 0 32 (the thorough technical evaluation, testing, selection,) W 18438 300 -46950 M 18439 339.0 0 32 (validation, and documentation work which JPEG) W 18440 300 -48050 M 18441 153.3 0 32 (committee members have performed is expected to) W 18442 300 -49150 M 18443 227.2 0 32 (soon yield an approved international standard that) W 18444 300 -50250 M 18445 111.0 0 32 (will withstand the tests of quality and time. As di\255) W 18446 300 -51350 M 18447 100.4 0 32 (verse imaging applications become increasingly im\255) W 18448 300 -52450 M 18449 216.8 0 32 (plemented on open networked computing systems,) W 18450 300 -53550 M 18451 32.0 0 32 (the ultimate measure of the committee's success will) W 18452 300 -54650 M 18453 180.8 0 32 (be when JPEG\255compressed digital images come to) W 18454 300 -55750 M 18455 111.8 0 32 (be regarded and even taken for granted as ) W 18456 111.8 0 32 (\026) W 18457 111.8 0 32 (just an\255) W 18458 300 -56850 M 18459 (other data type,) h 18460 (\027) h 18461 ( as text and graphics are today.) h 18462 300 -58250 M 18463 300 -59350 M 18464 300 -60450 M 18465 300 -61550 M 18466 300 -62650 M 18467 300 -63750 M 18468 -32040 7189 T 18469 R 18470 18471 S 18472 29912 -75834 M 18473 /Times-Roman-ISOLatin1 F 1000 o f 18474 (15) h 18475 R 18476 18477 showpage 18478 $P e 18479 18480 %%Page: 16 16 18481 /$P a D 18482 g N 18483 0 79200 T 18484 S 18485 S 18486 7200 -2700 T 18487 N 18488 0 G 18489 300 -1200 M 18490 -7200 2700 T 18491 R 18492 18493 S 18494 7200 -74700 T 18495 N 18496 0 G 18497 300 -1200 M 18498 -7200 74700 T 18499 R 18500 18501 R 18502 S 18503 7200 -7200 T 18504 N 18505 0 G 18506 300 -1200 M 18507 /Times-Bold-ISOLatin1 $ 18508 /Times-Bold & P 18509 /Times-Bold-ISOLatin1 F 1200 o f 18510 (For more information) h 18511 300 -2950 M 18512 /Times-Roman-ISOLatin1 $ 18513 /Times-Roman & P 18514 /Times-Roman-ISOLatin1 F 1000 o f 18515 114.8 0 32 (Information on how to obtain the ISO JPEG \(draft\)) W 18516 300 -4050 M 18517 177.4 0 32 (standards can be obtained by writing the author at) W 18518 300 -5150 M 18519 (the following address:) h 18520 300 -6250 M 18521 300 -7350 M 18522 (Digital Equipment Corporation) h 18523 300 -8450 M 18524 (146 Main Street, ML01\2552/U44) h 18525 300 -9550 M 18526 (Maynard, MA 01754\2552571) h 18527 300 -10650 M 18528 300 -11750 M 18529 (Internet: wallace@gauss.enet.dec.com) h 18530 300 -12850 M 18531 300 -13950 M 18532 76.5 0 32 (Floppy disks containing uncompressed, compressed,) W 18533 300 -15050 M 18534 72.0 0 32 (and reconstructed data for the purpose of informally) W 18535 300 -16150 M 18536 956.4 0 32 (validating whether an encoder or decoder) W 18537 300 -17250 M 18538 200.2 0 32 (implementation conforms to the proposed standard) W 18539 300 -18350 M 18540 488.3 0 32 (are available. Thanks to the following JPEG) W 18541 300 -19450 M 18542 412.3 0 32 (committee member and his company who have) W 18543 300 -20550 M 18544 105.4 0 32 (agreed to provide these for a nominal fee on behalf) W 18545 300 -21650 M 18546 24.8 0 32 (of the committee until arrangements can be made for) W 18547 300 -22750 M 18548 (ISO to provide them:) h 18549 300 -23850 M 18550 300 -24950 M 18551 (Eric Hamilton) h 18552 300 -26050 M 18553 (C\255Cube Microsystems) h 18554 300 -27150 M 18555 (1778 McCarthy Blvd.) h 18556 300 -28250 M 18557 (Milpitas, CA 95035) h 18558 300 -29350 M 18559 300 -30450 M 18560 300 -31700 M 18561 /Times-Bold-ISOLatin1 F 1200 o f 18562 (Acknowledgments) h 18563 300 -33450 M 18564 /Times-Roman-ISOLatin1 F 1000 o f 18565 217.8 0 32 (The following longtime JPEG core members have) W 18566 300 -34550 M 18567 52.1 0 32 (spent untold hours \(usually in addition to their ``real) W 18568 300 -35650 M 18569 51.3 0 32 (jobs''\) to make this collaborative international effort) W 18570 300 -36750 M 18571 60.1 0 32 (succeed. Each has made specific substantive contri\255) W 18572 300 -37850 M 18573 111.1 0 32 (butions to the JPEG proposal: Aharon Gill \(Zoran,) W 18574 300 -38950 M 18575 130.2 0 32 (Israel\), Eric Hamilton \(C\255Cube, USA\), Alain Leger) W 18576 300 -40050 M 18577 667.3 0 32 (\(CCETT, France\), Adriaan Ligtenberg \(Storm,) W 18578 300 -41150 M 18579 195.4 0 32 (USA\), Herbert Lohscheller \(ANT, Germany\), Joan) W 18580 300 -42250 M 18581 88.3 0 32 (Mitchell \(IBM, USA\), Michael Nier \(Kodak, USA\),) W 18582 300 -43350 M 18583 211.8 0 32 (Takao Omachi \(NEC, Japan\), William Pennebaker) W 18584 300 -44450 M 18585 189.2 0 32 (\(IBM, USA\), Henning Poulsen \(KTAS, Denmark\),) W 18586 300 -45550 M 18587 292.5 0 32 (and Jorgen Vaaben \(AutoGraph, Denmark\). The) W 18588 300 -46650 M 18589 153.5 0 32 (leadership efforts of Hiroshi Yasuda \(NTT, Japan\),) W 18590 300 -47750 M 18591 97.2 0 32 (the Convenor of JTC1/SC2/WG8 from which JPEG) W 18592 300 -48850 M 18593 6.2 0 32 (was spawned, Istvan Sebestyen \(Siemens, Germany\),) W 18594 300 -49950 M 18595 278.2 0 32 (the Special Rapporteur from CCITT SGVIII, and) W 18596 300 -51050 M 18597 445.0 0 32 (Graham Hudson \(British Telecom U.K.\) former) W 18598 300 -52150 M 18599 94.4 0 32 (JPEG chair and founder of the effort which became) W 18600 300 -53250 M 18601 34.2 0 32 (JPEG. The author regrets that space does not permit) W 18602 300 -54350 M 18603 111.3 0 32 (recognition of the many other individuals who con\255) W 18604 300 -55450 M 18605 (tributed to JPEG's work.) h 18606 300 -57150 M 18607 17.6 0 32 (Thanks to Majid Rabbani of Eastman Kodak for pro\255) W 18608 300 -58250 M 18609 (viding the example in section 7.3.) h 18610 300 -59950 M 18611 24.5 0 32 (The author's role within JPEG has been supported in) W 18612 300 -61050 M 18613 121.8 0 32 (a great number of ways by Digital Equipment Cor\255) W 18614 300 -62150 M 18615 (poration ) h 18616 300 -64000 M 18617 -7200 7200 T 18618 R 18619 18620 S 18621 32040 -7200 T 18622 N 18623 0 G 18624 300 -1200 M 18625 /Times-Bold-ISOLatin1 F 1200 o f 18626 (References) h 18627 300 -2950 M 18628 /Times-Roman-ISOLatin1 F 1000 o f 18629 (1.) h 18630 2100 -2950 M 18631 23.4 0 32 (Adobe Systems Inc. ) W 18632 /Times-Italic-ISOLatin1 $ 18633 /Times-Italic & P 18634 /Times-Italic-ISOLatin1 F 1000 o f 18635 23.4 0 32 (PostScript Language Refer\255) W 18636 2100 -4050 M 18637 320.7 0 32 (ence Manual) W 18638 /Times-Roman-ISOLatin1 F 1000 o f 18639 320.7 0 32 (. Second Ed. Addison Wesley,) W 18640 2100 -5150 M 18641 (Menlo Park, Calif. 1990) h 18642 300 -6850 M 18643 (2.) h 18644 2100 -6850 M 18645 17.4 0 32 (Digital Compression and Coding of Continuous\255) W 18646 2100 -7950 M 18647 362.0 0 32 (tone Still Images, Part 1, Requirements and) W 18648 2100 -9050 M 18649 168.0 0 32 (Guidelines. ISO/IEC JTC1 Draft International) W 18650 2100 -10150 M 18651 (Standard 10918\2551, Nov. 1991.) h 18652 300 -11850 M 18653 (3.) h 18654 2100 -11850 M 18655 17.4 0 32 (Digital Compression and Coding of Continuous\255) W 18656 2100 -12950 M 18657 181.3 0 32 (tone Still Images, Part 2, Compliance Testing. ) W 18658 2100 -14050 M 18659 129.0 0 32 (ISO/IEC JTC1 Committee Draft 10918\2552, Dec.) W 18660 2100 -15150 M 18661 (1991.) h 18662 300 -16850 M 18663 (4.) h 18664 2100 -16850 M 18665 329.2 0 32 (Encoding parameters of digital television for) W 18666 2100 -17950 M 18667 140.0 0 32 (studios. CCIR Recommendations, Recommen\255) W 18668 2100 -19050 M 18669 (dation 601, 1982.) h 18670 300 -20750 M 18671 (5.) h 18672 2100 -20750 M 18673 18.3 0 32 (Howard, P.G., and Vitter, J.S. New methods for) W 18674 2100 -21850 M 18675 445.8 0 32 (lossless image compression using arithmetic) W 18676 2100 -22950 M 18677 186.2 0 32 (coding. Brown University Dept. of Computer) W 18678 2100 -24050 M 18679 (Science Tech. Report No. CS\25591\25547, Aug. 1991.) h 18680 300 -25750 M 18681 (6.) h 18682 2100 -25750 M 18683 68.0 0 32 (Hudson, G.P. The development of photographic) W 18684 2100 -26850 M 18685 53.0 0 32 (videotex in the UK. In ) W 18686 /Times-Italic-ISOLatin1 F 1000 o f 18687 53.0 0 32 (Proceedings of the IEEE) W 18688 2100 -27950 M 18689 243.0 0 32 (Global Telecommunications Conference, IEEE) W 18690 2100 -29050 M 18691 (Communication Society,) h 18692 /Times-Roman-ISOLatin1 F 1000 o f 18693 ( 1983, pp. 319\255322.) h 18694 300 -30750 M 18695 (7.) h 18696 2100 -30750 M 18697 261.3 0 32 (Hudson, G.P., Yasuda, H., and Sebesty\351n,) W 18698 300.0 0.0 m 18699 261.3 0 32 ( ) W 18700 261.3 0 32 (I. ) W 18701 2100 -31850 M 18702 167.8 0 32 (The international standardization of a still pic\255) W 18703 2100 -32950 M 18704 117.0 0 32 (ture compression technique. In ) W 18705 /Times-Italic-ISOLatin1 F 1000 o f 18706 117.0 0 32 (Proceedings of) W 18707 2100 -34050 M 18708 251.5 0 32 (the IEEE Global Telecommunications Confer\255) W 18709 2100 -35150 M 18710 606.0 0 32 (ence, IEEE Communications Society,) W 18711 /Times-Roman-ISOLatin1 F 1000 o f 18712 606.0 0 32 ( Nov.) W 18713 2100 -36250 M 18714 (1988, pp. 1016\2551021.) h 18715 300 -37950 M 18716 (8.) h 18717 2100 -37950 M 18718 136.0 0 32 (Huffman, D.A. A method for the construction) W 18719 2100 -39050 M 18720 52.2 0 32 (of minimum redundancy codes. In ) W 18721 /Times-Italic-ISOLatin1 F 1000 o f 18722 52.2 0 32 (Proceedings) W 18723 2100 -40150 M 18724 (IRE) h 18725 /Times-Roman-ISOLatin1 F 1000 o f 18726 (, vol. 40, 1962, pp. 1098\2551101.) h 18727 300 -41850 M 18728 (9.) h 18729 2100 -41850 M 18730 186.7 0 32 (L\351ger, A. Implementations of fast discrete co\255) W 18731 2100 -42950 M 18732 214.3 0 32 (sine transform for full color videotex services) W 18733 2100 -44050 M 18734 342.3 0 32 (and terminals. In ) W 18735 /Times-Italic-ISOLatin1 F 1000 o f 18736 342.3 0 32 (Proceedings of the IEEE) W 18737 2100 -45150 M 18738 243.0 0 32 (Global Telecommunications Conference, IEEE) W 18739 2100 -46250 M 18740 (Communications Society,) h 18741 /Times-Roman-ISOLatin1 F 1000 o f 18742 ( 1984, pp. 333\255337.) h 18743 300 -47950 M 18744 (10.) h 18745 2100 -47950 M 18746 216.5 0 32 (L\351ger, A., Omachi, T., and Wallace, G. The) W 18747 2100 -49050 M 18748 246.2 0 32 (JPEG still picture compression algorithm. In) W 18749 2100 -50150 M 18750 /Times-Italic-ISOLatin1 F 1000 o f 18751 72.1 0 32 (Optical Engineering) W 18752 /Times-Roman-ISOLatin1 F 1000 o f 18753 72.1 0 32 (, vol. 30, no. 7 \(July 1991\),) W 18754 2100 -51250 M 18755 (pp. 947\255954.) h 18756 300 -52950 M 18757 (11.) h 18758 2100 -52950 M 18759 42.5 0 32 (L\351ger, A., Mitchell, M., and Yamazaki, Y. Still) W 18760 2100 -54050 M 18761 18.2 0 32 (picture compression algorithms evaluated for in\255) W 18762 2100 -55150 M 18763 223.6 0 32 (ternational standardization. In P) W 18764 /Times-Italic-ISOLatin1 F 1000 o f 18765 223.6 0 32 (roceedings of) W 18766 2100 -56250 M 18767 251.5 0 32 (the IEEE Global Telecommunications Confer\255) W 18768 2100 -57350 M 18769 606.0 0 32 (ence, IEEE Communications Society,) W 18770 /Times-Roman-ISOLatin1 F 1000 o f 18771 606.0 0 32 ( Nov.) W 18772 2100 -58450 M 18773 (1988, pp. 1028\2551032.) h 18774 300 -60150 M 18775 (12.) h 18776 2100 -60150 M 18777 168.0 0 32 (Lohscheller, H. A subjectively adapted image) W 18778 2100 -61250 M 18779 89.8 0 32 (communication system. ) W 18780 /Times-Italic-ISOLatin1 F 1000 o f 18781 89.8 0 32 (IEEE Trans. Commun.) W 18782 /Times-Roman-ISOLatin1 F 1000 o f 18783 89.8 0 32 ( ) W 18784 2100 -62350 M 18785 (COM\25532 \(Dec. 1984\), pp. 1316\2551322.) h 18786 2100 -63450 M 18787 -32040 7200 T 18788 R 18789 18790 S 18791 29720 -76121 M 18792 /Times-Roman-ISOLatin1 F 1000 o f 18793 (16) h 18794 R 18795 18796 showpage 18797 $P e 18798 18799 %%Page: 17 17 18800 /$P a D 18801 g N 18802 0 79200 T 18803 S 18804 S 18805 7200 -2700 T 18806 N 18807 0 G 18808 300 -1200 M 18809 -7200 2700 T 18810 R 18811 18812 S 18813 7200 -74700 T 18814 N 18815 0 G 18816 300 -1200 M 18817 -7200 74700 T 18818 R 18819 18820 R 18821 S 18822 7200 -7200 T 18823 N 18824 0 G 18825 300 -1050 M 18826 /Times-Roman-ISOLatin1 $ 18827 /Times-Roman & P 18828 /Times-Roman-ISOLatin1 F 1000 o f 18829 (13.) h 18830 2100 -1050 M 18831 19.0 0 32 (Office Document Architecture \(ODA\) and Inter\255) W 18832 2100 -2150 M 18833 16.9 0 32 (change Format, Part 7: Raster Graphics Content) W 18834 2100 -3250 M 18835 536.5 0 32 (Architectures. ISO/IEC JTC1 International) W 18836 2100 -4350 M 18837 (Standard 8613\2557.) h 18838 300 -6050 M 18839 (14.) h 18840 2100 -6050 M 18841 307.5 0 32 (Pennebaker, W.B., JPEG Tech. Specification,) W 18842 2100 -7150 M 18843 257.0 0 32 (Revision 8. Informal Working paper JPEG\2558\255) W 18844 2100 -8250 M 18845 (R8, Aug. 1990.) h 18846 300 -9950 M 18847 (15.) h 18848 2100 -9950 M 18849 108.1 0 32 (Pennebaker, W.B., Mitchell, J.L., et. al. Arith\255) W 18850 2100 -11050 M 18851 53.1 0 32 (metic coding articles. ) W 18852 /Times-Italic-ISOLatin1 $ 18853 /Times-Italic & P 18854 /Times-Italic-ISOLatin1 F 1000 o f 18855 53.1 0 32 (IBM J. Res. Dev., ) W 18856 /Times-Roman-ISOLatin1 F 1000 o f 18857 53.1 0 32 (vol. 32,) W 18858 2100 -12150 M 18859 (no. 6 \(Nov. 1988\), pp. 717\255774.) h 18860 300 -13850 M 18861 (16.) h 18862 2100 -13850 M 18863 649.0 0 32 (Rao, K.R., and Yip, P. ) W 18864 /Times-Italic-ISOLatin1 F 1000 o f 18865 649.0 0 32 (Discrete Cosine) W 18866 2100 -14950 M 18867 558.0 0 32 (Transform\255\255Algorithms, Advantages, Applica\255) W 18868 2100 -16050 M 18869 (tions) h 18870 /Times-Roman-ISOLatin1 F 1000 o f 18871 (. Academic Press, Inc. London, 1990.) h 18872 300 -17750 M 18873 (17.) h 18874 2100 -17750 M 18875 129.4 0 32 (Standardization of Group 3 facsimile apparatus) W 18876 2100 -18850 M 18877 23.4 0 32 (for document transmission. CCITT Recommen\255) W 18878 2100 -19950 M 18879 272.5 0 32 (dations, Fascicle VII.2, Recommendation T.4,) W 18880 2100 -21050 M 18881 (1980.) h 18882 300 -22750 M 18883 (18.) h 18884 2100 -22750 M 18885 912.8 0 32 (Wallace, G.K. Overview of the JPEG) W 18886 2100 -23850 M 18887 119.5 0 32 (\(ISO/CCITT\) still image compression standard. ) W 18888 2100 -24950 M 18889 217.0 0 32 (Image Processing Algorithms and Techniques. ) W 18890 2100 -26050 M 18891 294.6 0 32 (In ) W 18892 /Times-Italic-ISOLatin1 F 1000 o f 18893 294.6 0 32 (Proceedings of the SPIE) W 18894 /Times-Roman-ISOLatin1 F 1000 o f 18895 294.6 0 32 (, vol. 1244 \(Feb.) W 18896 2100 -27150 M 18897 (1990\), pp. 220\255233.) h 18898 300 -28850 M 18899 (19.) h 18900 2100 -28850 M 18901 118.9 0 32 (Wallace, G., Vivian, R,. and Poulsen, H. Sub\255) W 18902 2100 -29950 M 18903 158.5 0 32 (jective testing results for still picture compres\255) W 18904 2100 -31050 M 18905 8.5 0 32 (sion algorithms for international standardization. ) W 18906 2100 -32150 M 18907 56.8 0 32 (In ) W 18908 /Times-Italic-ISOLatin1 F 1000 o f 18909 56.8 0 32 (Proceedings of the IEEE Global Telecommu\255) W 18910 2100 -33250 M 18911 272.3 0 32 (nications Conference. IEEE Communications) W 18912 2100 -34350 M 18913 (Society,) h 18914 /Times-Roman-ISOLatin1 F 1000 o f 18915 ( Nov. 1988, pp. 1022\2551027.) h 18916 300 -36050 M 18917 ( ) h 18918 300 -37900 M 18919 /Times-Bold-ISOLatin1 $ 18920 /Times-Bold & P 18921 /Times-Bold-ISOLatin1 F 1200 o f 18922 (Biography) h 18923 300 -39050 M 18924 300 -40150 M 18925 /Times-Roman-ISOLatin1 F 1000 o f 18926 602.7 0 32 (Gregory K. Wallace is currently Manager of) W 18927 300 -41250 M 18928 35.3 0 32 (Multimedia Engineering, Advanced Development, at) W 18929 300 -42350 M 18930 185.2 0 32 (Digital Equipment Corporation. Since 1988 he has) W 18931 300 -43450 M 18932 222.4 0 32 (served as Chair of the JPEG committee \(ISO/IEC) W 18933 300 -44550 M 18934 100.8 0 32 (JTC1/SC2/WG10\). For the past five years at DEC,) W 18935 300 -45650 M 18936 199.3 0 32 (he has worked on efficient software and hardware) W 18937 300 -46750 M 18938 979.3 0 32 (implementations of image compression and) W 18939 300 -47850 M 18940 1118.3 0 32 (processing algorithms for incorporation in) W 18941 300 -48950 M 18942 39.6 0 32 (general\255purpose computing systems. He received the) W 18943 300 -50050 M 18944 95.1 0 32 (BSEE and MSEE from Stanford University in 1977) W 18945 300 -51150 M 18946 369.7 0 32 (and 1979. His current research interests are the) W 18947 300 -52250 M 18948 1132.0 0 32 (integration of robust real\255time multimedia) W 18949 300 -53350 M 18950 (capabilities into networked computing systems. ) h 18951 300 -54450 M 18952 300 -56150 M 18953 300 -57546 M 18954 -7200 7200 T 18955 R 18956 18957 S 18958 32040 -7200 T 18959 N 18960 0 G 18961 -32040 7200 T 18962 R 18963 18964 S 18965 29912 -76888 M 18966 /Times-Roman-ISOLatin1 F 1000 o f 18967 (17) h 18968 R 18969 18970 showpage 18971 $P e 18972 18973 $D restore 18974 %%Trailer 18975 end % DEC_WRITE_dict 18976 %%Pages: 17 18977 %%DocumentFonts: Times-Italic-ISOLatin1 18978 %%+ Times-Roman-ISOLatin1 18979 %%+ Times-Bold-ISOLatin1 18980 %%+ Helvetica-Bold-ISOLatin1 18981 %%+ Helvetica-ISOLatin1 18982 %%+ Symbol 18983 %%+ Courier-ISOLatin1 18984 %%+ Dutch801-Italic-DECmath_Italic 18985 %%+ Dutch801-Roman-DECmath_Extension 18986 %%+ Dutch801-Roman-DECmath_Symbol