1 files changed, 18986 insertions, 0 deletions

diff --git a/src/plugins/testdata/ps_wallace.ps b/src/plugins/testdata/ps_wallace.ps
new file mode 100644
index 0000000..06b73b9
--- /dev/null
+++ b/src/plugins/testdata/ps_wallace.ps
@@ -0,0 +1,18986 @@
+%!PS-Adobe-2.1
+%%Creator: DECwrite V1.1
+%%+Copyright (c) 1990 DIGITAL EQUIPMENT CORPORATION.  
+%%+All Rights Reserved.
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProcSet DEC_WRITE 1.06
+% Date:    Tue, 17 Dec 91 14:49:50 PST
+% Subject: PS preprint of JPEG article submitted to IEEE Trans on Consum. Elect
+% From:    Greg Wallace
+% Mods by Tom Lane 18-Dec-91 to avoid use of nonstandard fonts:
+%   Replaced Souvenir-Demi with Helvetica-Bold
+%   Replaced Souvenir-Light with Helvetica
+%   Deleted gratuitous use of AvantGarde for spacing
+/DEC_WRITE_dict 150 dict def DEC_WRITE_dict begin/$D save def/$I 0 def/$S 0
+def/$C matrix def/$R matrix def/$L matrix def/$E matrix def/pat1{/px exch
+def/pa 8 array def 0 1 7{/py exch def/pw 4 string def 0 1 3{pw exch px py 1
+getinterval putinterval}for pa py pw put}for}def/pat2{/pi exch def/cflag
+exch def save cflag 1 eq{eoclip}{clip}ifelse newpath{clippath
+pathbbox}stopped not{/ph exch def/pw exch def/py exch def/px exch def/px px
+3072 div floor 3072 mul def/py py 3072 div floor 3072 mul def px py
+translate/pw pw px sub 3072 div floor 1 add cvi def/ph ph py sub 3072 div
+floor 1 add cvi def pw 3072 mul ph 3072 mul scale/pw pw 32 mul def/ph ph 32
+mul def/px 0 def/py 0 def pw ph pi[pw 0 0 ph 0 0]{pa py get/px px 32 add
+def px pw ge{/px 0 def/py py 1 add 8 mod def}if}pi type/booleantype
+eq{imagemask}{image}ifelse}if restore}def/PS{/_op exch def/_np 8 string def
+0 1 7{/_ii exch def/num _op _ii get def _np 7 _ii sub num -4 bitshift PX
+num 15 and 4 bitshift -4 bitshift PX 4 bitshift or put}for _np}def/PX{[15 7
+11 3 13 5 9 1 14 6 10 2 12 4 8 0]exch get}def/FR{0.7200 0 $E defaultmatrix
+dtransform/yres exch def/xres exch def xres dup mul yres dup mul add
+sqrt}def/SU{/_sf exch def/_sa exch def/_cs exch def/_mm $C currentmatrix
+def/rm _sa $R rotate def/sm _cs dup $L scale def sm rm _mm _mm concatmatrix
+_mm concatmatrix pop 1 0 _mm dtransform/y1 exch def/x1 exch def/_vl x1 dup
+mul y1 dup mul add sqrt def/_fq FR _vl div def/_na y1 x1 atan def _mm 2 get
+_mm 1 get mul _mm 0 get _mm 3 get mul sub 0 gt{{neg}/_sf load
+concatprocs/_sf exch def}if _fq _na/_sf load setscreen}def/BO{/_yb exch
+def/_xb exch def/_bv _bs _yb _bw mul _xb 8 idiv add get def/_mk 1 7 _xb 8
+mod sub bitshift def _bv _mk and 0 ne $I 1 eq xor}def/BF{DEC_WRITE_dict
+begin/_yy exch def/_xx exch def/_xi _xx 1 add 2 div _bp mul cvi def/_yi _yy
+1 add 2 div _bp mul cvi def _xi _yi BO{/_nb _nb 1 add def 1}{/_fb _fb 1 add
+def 0}ifelse end}def/setpattern{/_cz exch def/_bw exch def/_bp exch def/_bs
+exch PS def/_nb 0 def/_fb 0 def _cz 0/BF load SU{}settransfer _fb _fb _nb
+add div setgray/$S 1 def}def/invertpattern{$S 0 eq{{1 exch
+sub}currenttransfer concatprocs settransfer}if}def/invertscreen{/$I 1
+def/$S 0 def}def/revertscreen{/$I 0 def}def/setrect{/$h exch def/$w exch
+def/$y exch def/$x exch def newpath $x $y moveto $w $x add $y lineto $w $x
+add $h $y add lineto $x $h $y add lineto closepath}def/concatprocs{/_p2
+exch cvlit def/_p1 exch cvlit def/_pn _p1 length _p2 length add array def
+_pn 0 _p1 putinterval _pn _p1 length _p2 putinterval _pn
+cvx}def/OF/findfont load def/findfont{dup DEC_WRITE_dict exch
+known{DEC_WRITE_dict exch get}if DEC_WRITE_dict/OF get exec}def
+mark/ISOLatin1Encoding 
+8#000 1 8#001{StandardEncoding exch get}for /emdash/endash
+8#004 1 8#025{StandardEncoding exch get}for /quotedblleft/quotedblright
+8#030 1 8#054{StandardEncoding exch get}for /minus 8#056 1 8#217
+{StandardEncoding exch get}for/dotlessi 8#301 1 8#317{StandardEncoding 
+exch get}for/space/exclamdown/cent/sterling/currency/yen/brokenbar/section
+/dieresis/copyright/ordfeminine/guillemotleft/logicalnot/hyphen/registered
+/macron/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph
+/periodcentered/cedilla/onesuperior/ordmasculine/guillemotright/onequarter
+/onehalf/threequarters/questiondown/Agrave/Aacute/Acircumflex/Atilde
+/Adieresis/Aring/AE/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave
+/Iacute/Icircumflex/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde
+/Odieresis/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn
+/germandbls/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla
+/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis
+/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide/oslash/ugrave
+/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis
+256 array astore def cleartomark 
+/encodefont{findfont dup maxlength dict begin{1 index/FID ne{def}{pop
+pop}ifelse}forall/Encoding exch def dup/FontName exch def currentdict
+definefont end}def/loads{/$/ISOLatin1Encoding load def/&/encodefont load
+def/*/invertpattern load def/+/revertscreen load def/-/invertscreen load
+def/:/concatprocs load def/^/setpattern load def/~/pat1 load def/_/pat2
+load def/@/setrect load def/A/arcn load def/B/ashow load def/C/curveto load
+def/D/def load def/E/eofill load def/F/findfont load def/G/setgray load
+def/H/closepath load def/I/clip load def/K/kshow load def/L/lineto load
+def/M/moveto load def/N/newpath load def/O/rotate load def/P/pop load
+def/R/grestore load def/S/gsave load def/T/translate load def/U/sub load
+def/V/div load def/W/widthshow load def/X/exch load def/Y/awidthshow load
+def/a/save load def/c/setlinecap load def/d/setdash load def/e/restore load
+def/f/setfont load def/g/initclip load def/h/show load def/i/setmiterlimit
+load def/j/setlinejoin load def/k/stroke load def/l/rlineto load
+def/m/rmoveto load def/n/currentfont load def/o/scalefont load
+def/p/currentpoint load def/r/currenttransfer load def/s/scale load
+def/t/setmatrix load def/u/settransfer load def/w/setlinewidth load
+def/x/matrix load def/y/currentmatrix load def}def
+end
+%%EndProcSet
+%%EndProlog
+
+%%BeginSetup
+
+%%BeginFont: Dutch801-Roman-DECmath_Extension
+% Bitstream Fontware PSO Font -- Version 1.6
+% DECmath Font Version 1.0, 4-13-89
+%
+% Copyright 1989 by Bitstream, Inc. All Rights Reserved.
+% Copyright 1989 Digital Equipment Corporation
+%
+% This product is the sole property of Bitstream Inc. and
+% contains its proprietary and confidential information
+
+% U.S Government Restricted Rights
+% This software product is provided with RESTRICTED RIGHTS.  Use,
+% duplication or disclosure by the Government is subject to
+% restrictions as set forth in FAR 52.227-19(c)(2) (June, 1987)
+% when applicable or the applicable provisions of DOD FAR supplement
+% 252.227-7013 subdivision (b)(3)(ii) (May,1981) or subdivision
+% (c)(1)(ii) (May, 1987). Contractor/manufacturer is Bitstream Inc. 
+% /215 First Street/Cambridge, MA 02142.
+%
+% This software is furnished under a license and may be used and  copied
+% only  in  accordance  with  the  terms  of  such  license and with the
+% inclusion of the above copyright notices.  This software or  any other
+% copies  thereof may not be provided or otherwise made available to any
+% other person.  No title to and ownership of  the  software  is  hereby
+% transfered. 
+%
+% The information in this software is subject to change  without  notice
+% and  should  not  be  construed  as  a commitment by Digital Equipment
+% Corporation.
+%
+% BITSTREAM, INC. AND DIGITAL EQUIPMENT CORPORATION DISCLAIM ALL
+% WARRANTIES WITH REGARD TO THIS SOFTWARE, INCLUDING ALL IMPLIED
+% WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL
+% BITSTREAM, INC. AND DIGITAL EQUIPMENT CORPORATION BE LIABLE FOR ANY 
+% SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER
+% RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF
+% CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
+% CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+% 
+/n_chars  128 def
+/DC
+  {
+  /bits exch def
+  /name exch def
+  /num exch def
+  num 256 lt {Encoding num name put} if
+  CharStrings name bits put
+  } bind def
+/bsd 15 dict def
+bsd begin
+  /FontType 3 def
+  /FontName /Dutch801-Roman-DECmath_Extension def
+  /PaintType 0 def
+  /UniqueID 440185 def
+  /FontMatrix [.001 0 0 .001 0 0] def
+  /FontInfo 12 dict def
+  /CharStrings 1 n_chars add dict def
+  CharStrings /.notdef <0F> put
+  /Encoding 256 array def
+  0 1 255 {Encoding exch /.notdef put} for
+  /temp 15 dict def
+  temp begin
+    /get-word
+      {
+      0 s i get add 8 bitshift
+      /i i 1 add def
+      s i get add 32768 sub
+      /i i 1 add def
+      } bind def
+    /get-byte
+      {
+      s i get 128 sub
+      /i i 1 add def
+      } bind def
+    /get-name
+      {
+      /len s i get def
+      /i i 1 add def
+      s i len getinterval
+      /i i len add def
+      } bind def
+    /eval-arr 16 array def
+    eval-arr 16#00 {get-word 0} bind put
+    eval-arr 16#01 {4 {get-word} repeat setcachedevice newpath} bind put
+    eval-arr 16#02 {closepath 2 {get-word} repeat moveto} bind put 
+    eval-arr 16#03 {2 {get-word} repeat lineto} bind put 
+    eval-arr 16#04 {6 {get-word} repeat curveto} bind put 
+    eval-arr 16#05 {4 {get-word} repeat get-name do-char} bind put 
+    eval-arr 16#06 {0 get-word rlineto} bind put 
+    eval-arr 16#07 {get-word 0 rlineto} bind put 
+    eval-arr 16#08 {0 get-byte rlineto} bind put 
+    eval-arr 16#09 {get-byte 0 rlineto} bind put 
+    eval-arr 16#0A {2 {get-byte} repeat rlineto} bind put 
+    eval-arr 16#0B {6 {get-byte} repeat rcurveto} bind put 
+    eval-arr 16#0F {end PaintType 2 eq
+                     {temp begin stroke exit}
+                     {temp begin fill exit}
+                     ifelse } bind put
+    /do-char-arr 16 array def
+    do-char-arr 16#00 {get-word pop} bind put
+    do-char-arr 16#01 {4 {get-word pop} repeat} bind put
+    do-char-arr 16#02 {closepath 2 {get-word} repeat moveto} bind put
+    do-char-arr 16#03 {2 {get-word} repeat lineto} bind put
+    do-char-arr 16#04 {6 {get-word} repeat curveto} bind put
+    do-char-arr 16#05 {4 {get-word} repeat get-name do-char} bind put
+    do-char-arr 16#06 {0 get-word rlineto} bind put 
+    do-char-arr 16#07 {get-word 0 rlineto} bind put 
+    do-char-arr 16#08 {0 get-byte rlineto} bind put 
+    do-char-arr 16#09 {get-byte 0 rlineto} bind put 
+    do-char-arr 16#0A {2 {get-byte} repeat rlineto} bind put 
+    do-char-arr 16#0B {6 {get-byte} repeat rcurveto} bind put 
+    do-char-arr 16#0F {closepath exit} bind put
+    /eval
+      {
+      /s exch def
+      /i 0 def
+        {
+        /t s i get def
+        /i i 1 add def
+        eval-arr t get exec
+        } loop
+      } bind def
+    /do-char
+      {
+      t s i matrix currentmatrix
+      2 {6 index} repeat translate
+      2 {8 index 256 div} repeat scale
+      end CharStrings 5 index get
+      temp begin /s exch def
+      /i 0 def
+        {
+        /t s i get def
+        /i i 1 add def
+        do-char-arr t get exec
+        } loop
+      setmatrix
+      [/i /s /t] {exch def} forall
+      5 {pop} repeat
+      } bind def
+    end
+  /BuildChar
+    {
+    exch begin
+      0.2 setflat
+      Encoding exch get
+      CharStrings exch
+      2 copy known not { pop /space } if get
+      temp begin eval end
+      end
+    } bind def
+  FontInfo /version (Fontware-PSO 1.6) put
+  FontInfo /OutlineResolution 1000 put
+  FontInfo /Copyright (Copyright 1989 by Bitstream,Inc. and Digital Equipment Corp. All Rights Reserved.) put
+  FontInfo /Notice (Dutch 801 is a registered trademark of Bitstream, Inc.) put
+  FontInfo /Date (1989/4/13 12:28:18) put
+  FontInfo /FullName (Dutch 801 Roman DECmath_Extension (TM)) put
+  FontInfo /FamilyName (Dutch 801) put
+  FontInfo /Weight (Medium) put
+  FontInfo /ItalicAngle 0.00 put
+  FontInfo /isFixedPitch false put
+  FontInfo /UnderlinePosition -100 put
+  FontInfo /UnderlineThickness 60 put
+  32 /parenlfs4 <0083180180e27480830280290282cd802a04822b7f7981b47ebd81667dd604
+    81097cc380e37b7780e37a560480e37934810977e8816676d50481b875e48226753882cd
+    748109b5048270752e821775c381cd769f04816677cf813f7915813f7a5604813f7b968166
+    7cdc81cd7e0d0482147ee182747f828302802a094b0F> DC
+  33 /parenrts4 <008318018015748082348029028015802a0480a37f8381047edf814b7e0d04
+    81b27cdc81d87b9681d87a560481d8791581b277cf814b769f04810075c280a8752f8015
+    748109b60480f27539815f75e381b176d504820e77e78235793582357a560482357b76820e
+    7cc481b17dd60481617ec280ef7f76804b802a094a0F> DC
+  34 /bracketlfs4 <008247018115748082398029028116802a06745707812308c0077f1e068b2907
+    80e208c0077edd0F> DC
+  35 /bracketrts4 <00824701800d74808131802902800e802a08400780e30674d7077f1d084007
+    8124068ba9077edc0F> DC
+  36 /bracketlfbts4 <00827f018115748082718033028116803306744e07815b08c0077ee6068b7209
+    3f0F> DC
+  37 /bracketrtbts4 <00827f01800d748081698033028128803306748e077ee6084007815b068bb209
+    3f0F> DC
+  38 /bracketlftps4 <00827f018115747782718029028116802a06744d09c1068b7307811a08c007
+    7ea50F> DC
+  39 /bracketrttps4 <00827f01800d74778169802902800e802a084007811a06748d09c1068bb307
+    7ea50F> DC
+  40 /bracelfs4 <0083410180b0748082bd8029028289802a0481df7fdf81857f5681857e9906
+    7d4d0481857b9981787b4a81547b0604812d7abd80f57a8f80b07a66085f04814779eb8185
+    7974818578c5067d4a04818575a481a7753e81ee74ed04821c74b9824b749c8289748109b4
+    08a004821b74e981e6756881e6761206828e0481e6797e81a379e180ef7a560481a57acc
+    81e67b2a81e67c0b06828e0481e67f41821d7fc382bd800908a1094c0F> DC
+  41 /bracerts4 <008341018083748082918029028084802a085f0481257fc3815b7f42815b7e99
+    067d7204815b7b2a819d7acc82527a5604819f79e1815b797d815b78a0067d7204815b7568
+    812674e9808474a1086009b40480f6749c812674b9815474ed04819b753e81bc75a381bc
+    760f0682b60481bc797481fb79eb82917a4508a10481f87ac281bc7b3381bc7be60682b304
+    81bc7f5681627fdf80b8802a094c0F> DC
+  42 /anglelfs4 <00832601808a748082bc8029028284802a03808b7a56038284748109b80380c2
+    7a560382bc802a09480F> DC
+  43 /anglerts4 <0083260180697480829a80290280a1802a09490382637a5603806a748109b703
+    829b7a560380a1802a0F> DC
+  44 /slashs4 <0084fe01802e748084cf8029028498802a03802e748109b80384cf802a0949
+    0F> DC
+  45 /backslashs4 <0084fe01802e748084cf802902802e802a038498748109b7038066802a0948
+    0F> DC
+  46 /slash <00832b018025792a830580290282cc802a038026792b09b9038305802a0947
+    0F> DC
+  47 /backslash <00832b018025792a8305802902805f802a09470382cc792b09b903805f802a
+    0F> DC
+  48 /parenlefttp <00836b01812d79218341802902830f802a0481917e25812e7c06812e798c0816
+    09e208e60481907aea81a47c4282077d990482507e9482b27f578342802a094d0F> DC
+  49 /parenrighttp <00836b0180287921823c8029028028802a0480b97f55811a7e9581637d9904
+    81c67c4281da7aea81da7988081a09e208ea04823c7c0481d87e26805b802a094d0F> DC
+  50 /bracketlefttp <00829b0181427921828f8029028142802a0678f809c10686c807810d08c007
+    7eb20F> DC
+  51 /bracketrighttp <00829b01800a79218158802902800b802a084007810d06793809c006870807
+    7eb30F> DC
+  52 /bracketleftbt <00829b018142792a828f803302814280330678f807814e08c1077ef30686c709
+    3f0F> DC
+  53 /bracketrightbt <00829b01800a792a815880330281188033067939077ef3083f07814d06870809
+    400F> DC
+  54 /bracketleftex <00829b0181427d6a818380330281428033067d3809c10682c8093f0F> DC
+  55 /bracketrightex <00829b0181177d6a815880330281188033067d3809c00682c809400F> DC
+  56 /bracelefttp <0083790181867c7082d4800002829d80000481da7f6381867f1581877e0c06
+    7e6509ea0681a40481f17ef082317f5382d47fd808a809490F> DC
+  57 /bracerighttp <0083790180a37c7081f180000280a4800008580481497f5181867ef281877e15
+    067e5c09ea06819b0481f17f15819e7f6380db800009490F> DC
+  58 /braceleftbt <0083790181867c7a82d480090281878009067e660481867d6681da7d18829d
+    7c7a09b708a904822e7d2a81f17d8781f17e660681a309160F> DC
+  59 /bracerightbt <0083790180a37c7a81f180090281878009067e5d0481867d8881497d2a80a4
+    7ca3085709b704819f7d1a81f17d6481f17e6f06819a09160F> DC
+  60 /braceleftmid <0083790180a3790a81f180090281878009067e540481867d7e814a7d2280a4
+    7c9a08610481497bf481867b9581877ab8067e5309ea06819b0481f17ba281a87bf580ec
+    7c8a0481a97d2181f17d7181f17e6f06819a09160F> DC
+  61 /bracerightmid <008379018186790a82d480090281878009067e660481867d7381d07d20828c
+    7c8a0481d07bf681867ba181877aa6067e6509ea0681ad0481f17b9382317bf682d47c7b08
+    9f04822e7d2181f17d7e81f17e5d0681ac09160F> DC
+  62 /braceex <0083790181867ed381f180090281878009067ecb09ea06813509160F> DC
+  63 /arrowvertex <00829b0181367d9d816480000281368000067d9e09ae06826209520F> DC
+  64 /parenleftbtex <00836b01812d792a8341803302812e8033081604812e7e61814d7cfd81c27ba5
+    0482167aae827779f9830f792b09b30482ae7a0482527aba82077bbd0481a37d1781907e68
+    81907fce08e5091e0F> DC
+  65 /parenrightbtex <00836b018028792a823c80330281da8033081b0481da7e6b81c67d1381637bbd
+    0481187ab980bc7a058028792b09b30480f379f981547aae81a87ba504821c7cfb823c7e62
+    823c7fc908ea091e0F> DC
+  66 /parenleftex <00836b01812d7d6a8190803302812e8033067d3809e20682c8091e0F> DC
+  67 /parenrightex <00836b0181d97d6a823c80330281da8033067d3809e20682c8091e0F> DC
+  68 /angleleft <0082ee01808a76d582798029028241802a03808b7b8003824176d609b80380c3
+    7b80038279802a09480F> DC
+  69 /angleright <0082ee01807476d5826380290280ad802a094803822b7b8003807576d609b803
+    82637b800380ad802a0F> DC
+  70 /unionsqr <0083410180377c1f83097ffa0280787fd90B80aa3faa4080067c670B7f688660
+    a0600782910B9380a18da1a00683990B7faa3faa3f80067c88077daf0683780F> DC
+  71 /unionsqrdsp <0084570180377a94841f800002808b7fd70B80b52cb52d80067aea0B805f8954
+    ac5407838f0B9b80ad92adac0685160B80b52bb52c80067b10077cbf0684f00F> DC
+  72 /integralcon <0081d80180387ba8826c800002822f7fd20B5a705736832d0Bb773c9b1acd604
+    823a800381f4800d81c17ff204815b7fbb81537ef681467e9004807e7e7680607d6a8122
+    7d2004811e7ced81197cbb81137c8804810d7c52810d7c0d80e77be10B625d2f500c710B9b
+    95acc387d60B5c923972404e0480457bb5808b7ba180c47bac0481567bc9815f7ca1816e
+    7d1704823e7d3182597e4681937e8a04819a7ed1819f7f1881a67f5f0B84a68adaa7f60B9e
+    9ec89de27d0281417e620481387e06812e7daa81277d4d0480a27d8a80b37e3f81417e6202
+    818f7e5c04821b7e2382097d6781737d4504817e7da281877dff818f7e5c0F> DC
+  73 /integralcondsp <00822c018045774983b8800a0283787fdc0B4f774c3c6d280Ba768e385cfcd04
+    83a18017832e801d83007fe50482977f6982387d7182147cba0481967cba812e7c6b810b
+    7bef0480f57ba181087b5081347b0e0481577ada817b7ac381b37aad0481967a0f814f781e
+    8101779d0B685737300a550Ba798a6c88adc0B569e19713b2d0B8d66ab5ac6530Ba277c47e
+    e19104814c7796817378028190785e0481ca791881ec79d982127a980Ba683c989ec9804
+    82c97ad183057b12831a7b6204832f7bae83217c0282f57c440B60b034cd02e60482967d55
+    82b37e0082d57eab0482e37eef83047f90831d7fca0B8fa3c5b9db9202820d7c8f0481f1
+    7bfb81d67b6881bb7ad50480cc7b3781207c96820d7c8f02826d7c7d0483517c1583147ad7
+    821a7ac20482367b5682527be9826d7c7d0F> DC
+  74 /circledot <0084570180377c18841f800002822c800004811b800080387f1e80387e0d04
+    80377cff811e7c19822c7c1904833d7c1984207cfb84207e0d04841f7f2183408000822c
+    800002822c7fc004831a7fc083de7efb83df7e0d0483df7d1f831a7c5a822c7c5a048142
+    7c5a80787d2380787e0d0480787ef981407fc0822c7fc002822c7e520481d17e5281d27dc8
+    822c7dc80482867dc882877e53822c7e520F> DC
+  75 /circledotdsp <0085ea0180367a8585b280000282f58000048175800080377ec080377d4304
+    80377bc9817c7a8682f57a850484757a8685b37bc285b27d430485b27ec58479800082f5
+    80000282f57fb204844e7fb285637e9b85637d430485637beb844b7ad582f57ad40481a5
+    7ad580877bf380867d430480867e9781a27fb282f57fb20282f47d9f0B5080255525240B81
+    51ad25db250Bb180dcabdcdb0B81b257dc24dc0F> DC
+  76 /circleplus <0084570180377c18841f800002822c800004811a800080377f2080387e0d04
+    80387cfe811d7c19822c7c190483407c19841f7cfa84207e0d0484207f2383428001822c
+    800002820b7fbe067e6f077e6d04808c7e9880a97ef280f97f420481447f8c81a37fb5820b
+    7fbe02824c7fbe0482b47fb583137f8c835e7f420483b07ef083ca7e9983df7e2d077e6d06
+    81910280787ded078193067e6f0481a07c6681477c8b80f97cd80480a67d2b808d7d808078
+    7ded02824c7ded0781930483ca7d8083b17d2b835e7cd80483117c8b82b67c66824c7c5c06
+    81910F> DC
+  77 /circleplusdsp <0085ea0180367a8585b280000282f4800004823c800081897fb981077f3604
+    80857eb480377dfb80377d430480387bc781787a8782f47a860484757a8585b27bbf85b2
+    7d430485b37eca847b800182f480000282ce7fb0067dbb077db60480a27e0880c77e88813e
+    7efe0481ab7f6a82377fa582ce7fb002831c7fb00483b37fa5843f7f6a84ab7efe048522
+    7e8785477e0885657d6b077db70682450280847d1d07824a067dbb0482317ae681b17b18
+    813e7b8a0480c67c0280a27c7f80847d1d02831c7d1d0782490485477c7e85257c0484ab
+    7b8a0484377b1783ba7ae7831c7ad80682450F> DC
+  78 /circlemultiply <0084570180377c19841f800002822c8000048119800080377f2080387e0d04
+    80387cf781167c1b822c7c1904833c7c19841f7cfd841f7e0d04841f7f1b833a8001822c
+    80000283457f5603822a7e3b03810d7f580481647f9381be7fc0822b7fc00482957fc082f5
+    7f9883457f560280e07f2a0381fc7e0d0380e17cf204809e7d4380777da080777e0c048077
+    7e7c80a37ed180e07f2a0283727f280483b57ed883dc7e7983dc7e0f0483dc7d9883b27d4e
+    83747cf10382577e0d0383727f2802822a7de00383467cc30482e97c8482a07c5b82287c5b
+    0481ba7c5b81627c80810f7cc503822a7de00F> DC
+  79 /circlemultdsp <0085ea01803a7a8685b580000282f880000481768000803b7ec6803b7d4504
+    803b7c8f80847bd581057b540481867ad282417a8882f87a870484777a8685b57bc685b5
+    7d440485b57ebe8472800282f880000284917f150382f67d7b0381587f190481da7f718253
+    7fb382f87fb20483917fb2841e7f7884917f150281217ee20382bf7d450381257ba90480bf
+    7c2180887ca180887d420480877deb80c87e5e81217ee20284c77edf04852b7e6d85637ddf
+    85637d460485637c9b85257c2c84ca7ba703832c7d450384c77edf0282f57d0e0384937b70
+    04840e7b14839f7ad682f37ad60482507ad781d47b0f815b7b730382f57d0e0F> DC
+  80 /summation <0084200180397c1883e380000280398000085c0381a07ded0380397c31086807
+    83590383e27d1309660483b17cdd83977cb483667c910483177c5b82b27c5382557c5307
+    7e350381f17e0e0380a97fd30781890482e07fd383777fbd83c97f14099b038397800007
+    7ca20F> DC
+  81 /product <0083b00180377c1883798000028038800008530Bbd81e569e525067d2a0B803b
+    59241b25085207812308ae0B427f1a961adb0683310781c6067ccf0B803c58241a25085207
+    812408ae0B427f1a971adb0682d60B80c4a8dce6db08ad077cbf0F> DC
+  82 /integral <0081d80180387ba8826c800002822f7fd20B667559556b3c0B9563c76ed08f04
+    82817ff181fa801e81b27fe904815f7fa981597f20814c7ec20481337e15812c7d678119
+    7cba0481137c82810f7c4a81017c140B7a666a4d543c0B60693a671e820Bb5aa97ee5fd704
+    80187c1180457ba980a37ba90480ff7ba981307bed81497c3e04815c7c8181647cc8816d
+    7d0d04817a7d7981867de581907e520481987eaa819c7f0281a57f5a0B85a78adea8fb0B9e
+    9ec89de27d0F> DC
+  83 /union <0083410180377c1f83097ffa0280787fd90B80aa3faa4080067dde0480377d68
+    80427d1a806a7cd40480a97c6581227c2081a17c2004821f7c20829b7c6582d97cd4048300
+    7d1a830a7d69830a7db70682220B7faa3faa3f80067dde0482c97d7382c27d31829f7cf404
+    826b7c9a82097c6181a17c610481397c6180d37c9980a07cf404807f7d3180787d748078
+    7db70682220F> DC
+  84 /intersection <0083410180377c1f83097ffa02830a7e6304830a7eb183007f0082d97f4604
+    829b7fb5821f7ffa81a17ffa0481227ffa80a97fb5806a7f460480427f0080377eb28038
+    7e63067dde0B7f55c055c0800682220480787ea6807e7ee980a07f260480d37f8181397fb9
+    81a17fb90482097fb9826c7f80829f7f260482c27ee982c97ea782c97e63067dde0B8055c0
+    55c1800682220F> DC
+  85 /unionmultiset <0083410180377c1f83097ffa0280787fd90B80aa3faa4080067dde0480377d68
+    80427d1a806a7cd40480a97c6581227c2081a17c2004821f7c20829b7c6582d97cd4048300
+    7d1a830a7d69830a7db70682220B7faa3faa3f80067dde0482c97d7382c27d31829f7cf404
+    826b7c9a82097c6181a17c610481397c6180d37c9980a07cf404807f7d3180787d748078
+    7db70682220281be7ee80B80ab3fab3f80067f5f077f600B5581554080400780a0067f5f0B
+    8154c154c1800680a10780a10Bab80abc080c0077f5f0680a10F> DC
+  86 /logicalor <0083410180387c16830980000281c17fe80B759f4aa03f8003803c7c450B7052
+    ad40bc6b0381a17f7e0382c97c300B8f55cc67bd950381c17fe80F> DC
+  87 /logicaland <0083410180387c16830980000280787fe80B71aa3497446c0381807c300B8c5f
+    b55fc1800383067fd40B8eab52bf43940381a17c9a0380787fe80F> DC
+  88 /summationdsp <0085a40180377a78856d80000280388000085c03824a7d020380387a8d086b07
+    84b703856d7bca096004852d7b86850c7b5384ca7b2904844c7ad983a27ad783127ad707
+    7da80382c77d430380ee7fce0782310483a47fce84347fc984ac7f8a0484f77f6285217f2e
+    854b7ee609a20384f48000077b440F> DC
+  89 /productdsp <0084fe0180377a7884c68000028038800008400480907fc280de7fa780de7f3f
+    067bfb0480de7ad180917ab880387aba083e0781e108c20481bf7ab881727ad181727b3a06
+    8486078219067b7a04838b7ad1833f7ab882e57aba083e0781e108c204846c7ab884207ad0
+    84207b3a0684050484207fa7846e7fc284c67fc008c0077b720F> DC
+  90 /integraldsp <00822c018045774983b8800a0283787fdc0B5f7a51605c400B8b60b259cd690B
+    a4959bd380ec048379801383308016830a7ff00482b17f9582637e3682477db50481f27c24
+    81ae7a8a816378f504815478a4812a77a780db77710B666e496c30810480d0779e808e77fb
+    805777ca04801f77998070772f80d6774f0481477773817e781d819a78810481c8792181e9
+    79c482087a6804823b7b6e826d7c75829d7d7d0482a67db082fb7fa983277fdb0B9699bfa1
+    d1810F> DC
+  91 /uniondsp <0084570180377a94841f800002808b7fd70B80b52cb52d80067cf30480377c5c
+    80477bf0807e7b8f0480d57af6817b7a95822b7a950482db7a9583867af583dc7b8f048413
+    7bf0841f7c5c84207cca06830d0B80b52bb52c80067cf20483cc7c6783c57c1283927bba04
+    834a7b3c82be7ae8822c7ae804819b7ae8810c7b3b80c57bba0480987c0c808b7c6c808b
+    7cc906830e0F> DC
+  92 /intersectdsp <0084570180377a94841f80000284207dcc04841f7e3a84137ea683dc7f0704
+    83867fa182db8000822b800004817b800080d57fa0807e7f070480467ea680377e3a8038
+    7dcc067cf30B7f4cd347d38006830e04808b7e2a80977e8a80c57edc04810c7f5b819b7fae
+    822c7fae0482be7fae834a7f5a83927edc0483c57e8483cc7e2f83cc7dcd067cf20B804cd3
+    47d48006830d0F> DC
+  93 /unionmultdsp <0084570180377a94841f800002808b7fd70B80b52cb52d80067cf30480377c5c
+    80477bf0807e7b8f0480d57af6817b7a95822b7a950482db7a9583867af583dc7b8f048413
+    7bf0841f7c5c84207cca06830d0B80b52bb52c80067cf20483cc7c6783c57c1283927bba04
+    834a7b3c82be7ae8822c7ae804819b7ae8810c7b3b80c57bba0480987c0c808b7c6c808b
+    7cc906830e0282537e820B80be2cc02d80067f1c077f1c0B4381402d802d0780e4067f1c0B
+    8044d33ed3800680e40780e40Bbe80c0d480d3077f1c0680e40F> DC
+  94 /logicalordsp <0084570180377a92841f800d0282557fee0B72a83aaa2c8003803c7ace0B6a44
+    bb2dcf6503822c7f640383cc7ab30B9448e45fcf9b0382557fee0F> DC
+  95 /logicalanddsp <0084570180377a92841f800d02808b7fee0B6db71ca131650382017ab30B8f55
+    c556d48003841b7fd30B95bb45d2319b03822c7b3e03808b7fee0F> DC
+  96 /coproduct <0083b00180377c1883798000028038800008530Bbd81e569e525067d2a0B803b
+    59241b25085207834108ae0B427f1a971adb0682d60B80c4a8dce6db08ad077edc08530Bbe
+    81e669e625067ccf077e3a0683310B80c4a9dce6db08ad077edd0F> DC
+  97 /coproductdsp <0084fe0180377a7884c680000280388000083f0480907fc180de7fa780de7f3f
+    067bfb0480de7acf80927ab880387aba083e07848e08c204846c7ab884207acf84207b3a06
+    84050484207fa7846e7fc184c67fbf08c1077e1f083f04833e7fc1838b7fa7838b7f3f06
+    7b7b077de70684850481727fa781c07fc182197fbf08c1077e1f0F> DC
+  98 /circumflex <00822c017ffc8230823082e702811582e8037ffc82470A8d6903811582af03
+    822282300A8e9703811582e80F> DC
+  99 /circumflexwide <0083e8017fff823e83e983060281f48307037fff82580A84670381f482ce03
+    83e5823f0A84990381f483070F> DC
+  100 /circumflvrywid <0085a4017ffc824085a883070282d28307037ffd825a0A86660382d282cc03
+    85a182400A879a0382d283070F> DC
+  101 /tilde <00822c0180018260822a82d602821c82d60481c7828f817e8272811982b104
+    80a682fb805c82be800282720A8d6e04805d82a580b182c5810e828504817d823b81d5827b
+    822a82c70A728f0F> DC
+  102 /tildewide <0083e8018000826483e182f10283d682f204832f829f82a7826d81f182bb04
+    8132830d80ac82cf800082760A886f0480b082b1812582e581db82960482a1824183318280
+    83e282e00A74920F> DC
+  103 /tildevrywide <0085a4018000827885a482fe02859e82fd0484ad82ae83ea827b82f082d004
+    827a82f982018308818582f60480ff82e2807f82bb8000828c0A886c0480f982cd81da8307
+    82d482ad048353828083d48275845a828c0484cd829f853982bf85a482ee0A7a8f0F> DC
+  104 /bracketfls2 <0081d80180de792a81c580290280de802a0679010780e808b8077f5006869007
+    80b008b7077f180F> DC
+  105 /bracketrts2 <0081d8018012792a80fa8029028013802a08490780af067970077f51084807
+    80e70686ff077f190F> DC
+  106 /bracketlfbts2 <0082100180de792a81fd80330280de80330678f807811f08b8077f190686d009
+    480F> DC
+  107 /bracketrtbts2 <008210018012792a813180330280fa8033067930077f19084807811f06870809
+    480F> DC
+  108 /bracketlftps2 <0082100180de792181fd80290280de802a0678f809b80686d10780e708b707
+    7ee10F> DC
+  109 /bracketrttps2 <008210018012792181318029028013802a08490780e706792f09b806870807
+    7ee10F> DC
+  110 /bracelfs2 <00829b018075792a8234802902820d802a0481d28019819a8005816c7fdc04
+    81307fa681287f7681287f2a067e780481287d1880e87cf180757cb908640480e87c658128
+    7c3c81287bb4067e7804812879d7813179a88178796f0B9a6bb85bd7500Ba871bc6ce66c08
+    9e0481b27969817279a481727a330681670481727be6816b7c1d81357c570B5da532bd06d4
+    0Bac97d7aefad304816b7d3881727d6f81727dbc0681660481727fb081b37fed8235800c08
+    9e09580F> DC
+  111 /bracerts2 <00829b018065792a82258029028066802a08620480e87fed81287fb081287f22
+    067e9a0481287d70812f7d3881667cfe0Ba25bce43fa2d0B54692851062c04812f7c1e8128
+    7be681287b9a067e9904812879a480e979698066794908620B8d809a80a8800B9285a38bb5
+    910B9e89b998d3aa048167799f817279d081727a2c0681880481727c3b81b47c6682267c9d
+    089c0481b27cf181727d1981727da20681880481727f7e81697fae81237fe60480ee8010
+    80a9802a8066802a0F> DC
+  112 /radicals1 <0083e80180667b80840e80390283db80390381cd7be80380f87de20380667d72
+    0A916b0Ac9ba0381a47b8009aa03840e8039094d0F> DC
+  113 /radicals2 <0083e80180667926840e80390283dc80390381cb79bb0380f87cb50380667c0d
+    0A926c0Ac7d50381a2792609a903840e8039094e0F> DC
+  114 /radicals3 <0083e801806676cc840e80390283de80390381c9778e0380f97b880380667aa8
+    0A946d0Ac4f003819f76cd09aa03840e803909500F> DC
+  115 /radicals4 <0083e80180667472840e80390283df80390381c775620380f97a5b0380667943
+    0A956e0380bd79bb03819d747309aa03840e803909510F> DC
+  116 /radicalbtex <008420018073790182e980170282bb80170679eb0381007f5f0380737e4c0A92
+    6e0380d47edb0382be790109ab06871609520F> DC
+  117 /radicalex <0084200182ba7d8682e980170282bb8017067d7009ae06829009520F> DC
+  118 /radicaltpex <0084200182ba7d868436802e0282bb802e067d5909ae06827907814e08ae07
+    7e840F> DC
+  119 /arrowdblvertex <00830a0180fc7d9d820980000280fc8000067d9e09af06826209510281db8000
+    067d9e09af06826209510F> DC
+  120 /arrowupex <00829b0180657d9d8234800002814d80000481077fa180d97f6b80667f450850
+    0480c47f2d80f47f5681367f9d067e0109ae0681ff0481a57f5781d77f2d82357f1508b004
+    81c07f6c81947fa0814d80000F> DC
+  121 /arrowdownex <00829b0180657d9d823480000281368000067e020480f97e4480be7e738066
+    7e8a08500480d47e35810a7df9814d7d9e0481907df981c77e3682357e5a08b00481dc7e73
+    81a27e4481647e020681fe09520F> DC
+  122 /bracehzlfdnex <0081bc017fee7f3181cf806a028197806a0480d2806a803f80077fee7f57085b
+    09b20480467f7c80787fac80c47fd204811c7ffe816f800081cf800008ea09480F> DC
+  123 /bracehzrtdnex <0081bc017fee7f3181cf806a027fee806a081604804280008094800080e37fdc
+    04813a7fb681727f84819d7f3209b208a50481a97fa981757fed812880200480c180658064
+    806a7fee806a0F> DC
+  124 /bracehzlfupex <0081bc017fee800081cf8139027fee8139085c04801480c0804580808094804b
+    0480fb80068158800081cf800008ea04817a806a8128806c80d9808f04808180b6804b80e6
+    80208139094e0F> DC
+  125 /bracehzrtupex <0081bc017fee800081cf813902819d813904817580ee814680c080f8809904
+    80a2806e804b806a7fee806a0816048053800080b58005810f803b04816c807181a380b6
+    81cf811508a4094e0F> DC
+  126 /arrowdblvttpex <00830a0180377d9d82d2800002818580000481567fb2812e7f7b80e97f3d04
+    80ad7f0780807eed80387ecf084f04808b7ec180b47ed980fc7f11067e8d09af0681a00B9f
+    a2bdc4dae80B9c5eb93bd61a067e5e09af0681790482547eda827b7ec282d27e9e08b104
+    82327f1181dd7f6e818580000F> DC
+  127 /arrowdblvtbtex <00830a0180377d9d82d280000280fc8000067e8e0480bc7ec080827ee18038
+    7f01084f0480d17e9081317e2b81857d9e0481d97e2b82397e9082d27ed008b10482847ee1
+    824c7ebe820a7e880681780951067e5f0B635f463c2a1a0B63a445c626e806819f0951
+    0F> DC
+  160 /parenlefts1 <0081ca0180797b7d81a08029028186802a0481457ff9810b7fc680e17f7f04
+    80967efe807a7e68807a7dd404807a7d39809a7c9b80ea7c140481117bd381487ba78186
+    7b7d099b0481657baf81327bdf810f7c260480cc7cac80bc7d4180bc7dd40480bc7e6c80cd
+    7f0681147f8f0481367fd081687ffe81a1802a09650F> DC
+  161 /parenrights1 <0081ca0180297b7d81508029028045802a09650480627ffe80957fd080b67f8f
+    0480fd7f06810e7e6c810e7dd404810e7d4180fe7cac80bc7c260480977bdd80677bb0802a
+    7b7d099b0480847ba980b77bd080e07c140481317c9b81507d3981507dd40481507e688134
+    7efe80e97f7f0480bf7fc680857ff98045802a0F> DC
+  162 /bracketlfs1 <0081a10180c27b80818b80290280c2802a067b560780ca08b3077f6906844507
+    809708b2077f360F> DC
+  163 /bracketrts1 <0081a10180147b8080de8029028015802a084e078096067bbb077f6a084d07
+    80c90684aa077f370F> DC
+  164 /bracketlfbts1 <0081d80180c27b8081c380330280c28033067b4d07810108b3077f3206848009
+    4d0F> DC
+  165 /bracketrtbts1 <0081d80180147b80811580330280e38033067b80077f32084d0781010684b309
+    4d0F> DC
+  166 /bracketlftps1 <0081d80180c27b7681c380290280c2802a067b4d09b30684810780ce08b207
+    7eff0F> DC
+  167 /bracketrttps1 <0081d80180147b7681158029028015802a084e0780ce067b7f09b30684b307
+    7eff0F> DC
+  168 /bracelfs1 <0082470180577b8081f080290280587de208660Ba777d26ff3580Bad60af3daf
+    0b067f0d0480f97ba881757b8081f07b80089c04817b7ba781387bba81397c440680d204
+    81387d9f81067db9808c7dd50481077df281387e0a81397e950680d20481387ff1817b8002
+    81f0800e089c048176802a80f9800080fa7f72067f0e0B804e7d2b510b0B5f6934610d57
+    0F> DC
+  169 /bracerts1 <0082470180567b8081ef80290281f07de20B598a2d920ca90B54a051c351f506
+    80f204814d800180d3802a8057802a08640480cd8002810f7ff1810f7f67067f2e04810f
+    7e0a81417df281bc7dd50481427db9810f7d9f810f7d16067f2e04810f7bba80cd7ba78057
+    7b9c08640480d37b80814d7ba7814d7c380680f30B80b283d5aff50Ba197cd9ff4a8089a
+    0F> DC
+  170 /anglelfs1 <0081d80180607b80819c8029028162802a0380607dd50381627b8009ba03809b
+    7dd503819c802a09460F> DC
+  171 /anglerts1 <0081d801803c7b8081788029028077802a094503813e7dd503803c7b8009bb03
+    81787dd5038077802a0F> DC
+  172 /linevertex <00814d01808f7da280bd80330280908033067d7009ae06829009520F> DC
+  173 /linedblvertex <00822c01808f7da2819c80330280908033067d7009ae068290095202816e8033
+    067d7009ae06829009520F> DC
+  174 /slashs1 <0082470180247b80822280290281e8802a0380257b8009ba038223802a0945
+    0F> DC
+  175 /backslashs1 <0082470180247b808222802902805f802a09460381e87b8009bb03805f802a
+    0F> DC
+  176 /parenlfs2 <0082550180b27929822b8029028208802a0481b87fdb816f7f8a81397f2604
+    80d17e6280b27d8580b27caa0480b27bcf80d17af281397a2e04816f79c881b779798208
+    792909a40481df7978819e79c581717a2b0481177af480fd7bd080fd7caa0480fd7d848117
+    7e6081717f2904819e7f8d81e07fdd822c802a095c0F> DC
+  177 /parenrts2 <008255018029792981a3802902802a802a0480757fdd80b87f8d80e47f2904
+    813e7e6081587d8481587caa0481587bd0813e7af480e47a2b0480b779c580767978802a
+    792909a30480a0797b80e479c5811c7a2e0481847af281a37bcf81a37caa0481a37d858184
+    7e62811c7f260480e77f8a809d7fdb804d802a095d0F> DC
+  178 /parenlfs3 <0082e00180ea76d482b6802902828a802a04822a7fbc81d27f4b81907ec804
+    810c7dc380ea7ca180ea7b800480ea7a638109794b818878490481cf77ba8225774d828a
+    76d509ac0482587744820c77a781d27831048162793d813e7a60813e7b8004813e7c9c8161
+    7dbb81ce7ec40482067f4b82597fbc82b6802a09540F> DC
+  179 /parenrts3 <0082e001802976d481f68029028056802a09540480877fbc80da7f4b81127ec4
+    04817f7dbb81a27c9c81a37b800481a27a60817e793d810e78310480d477a780887744802a
+    76d509ac0480bc774e811077b8815878490481d8794d81f67a6181f67b800481f67ca181d4
+    7dc381507ec804810e7f4b80b67fbc8056802a0F> DC
+  180 /bracketlfs3 <0082100180f976d581ff80290280fa802a0676ac07810608bc077f360688dc07
+    80ca08bc077efa0F> DC
+  181 /bracketrts3 <00821001801076d581158029028010802a08440780ca067724077f36084407
+    8106068954077efa0F> DC
+  182 /bracketlfbts3 <0082470180f976d5823780330280fa80330676a307813d08bc077eff06892109
+    440F> DC
+  183 /bracketrtbts3 <00824701801076d5814d803302811180330676df077eff084407813d06895d09
+    440F> DC
+  184 /bracketlftps3 <0082470180f976cc823780290280fa802a0676a309bc06892107810108bc07
+    7ec30F> DC
+  185 /bracketrttps3 <00824701801076cc814d8029028010802a08440781010676df09bc06895d07
+    7ec30F> DC
+  186 /bracelfs3 <0082ee01809276d58279802902824b802a0481ad7ff181567f9081577ee106
+    7de30481567c2981187bd780937b8f08620481177b2a81567ad481577a3c067de1048157
+    77b98170776b81ba77260B9a68b854d9450Bb06cb36be66b089f0481e7772581ac778b81ac
+    78230681fa0481ac7ad681707b2680d57b800481707bdb81ac7c2881ac7ce30681fa0481ac
+    7f7181eb7fdc8279800a08a009520F> DC
+  187 /bracerts3 <0082ee01807576d5825b8029028075802a08600481067fdb81427f7381427edd
+    067e060481427c29817f7bdb821a7b800481807b2781427ad581427a1d067e06048142778c
+    81077725807576f508610B8f809f80ae800B9085a08cb0920B9e8cba9dd3b204817a7760
+    819777b18197781d06821f0481987ad581d87b2a825b7b71089e0481d67bd781987c298197
+    7cc406821d0481977f45817f7f9481347fda0B669848ab27ba0B589146961a960F> DC
+  188 /anglelfs3 <008263018053792a820080290281c7802a0380547cab0381c7792b09b903808d
+    7cab038200802a09470F> DC
+  189 /anglerts3 <008263018062792a820f8029028063802a0381d67cab038063792b09b903820f
+    7cab03809c802a09470F> DC
+  190 /slashs3 <00841401802a76d583ea80290283b2802a03802a76d609b90383ea802a0948
+    0F> DC
+  191 /backslashs3 <00841401802a76d583ea8029028063802a09470383b276d609b8038063802a
+    0F> DC
+
+  /FontBBox {-18 -2958 1461 775} def
+  end
+
+/Dutch801-Roman-DECmath_Extension bsd definefont pop
+
+%%EndFont
+
+
+%%BeginFont: Dutch801-Italic-DECmath_Italic
+% Bitstream Fontware PSO Font -- Version 1.6
+% DECmath Font Version 1.0, created 4-13-89
+%
+% Copyright 1989 by Bitstream, Inc. All Rights Reserved.
+% Copyright 1989 Digital Equipment Corporation
+%
+% This product is the sole property of Bitstream Inc. and
+% contains its proprietary and confidential information
+
+% U.S Government Restricted Rights
+% This software product is provided with RESTRICTED RIGHTS.  Use,
+% duplication or disclosure by the Government is subject to
+% restrictions as set forth in FAR 52.227-19(c)(2) (June, 1987)
+% when applicable or the applicable provisions of DOD FAR supplement
+% 252.227-7013 subdivision (b)(3)(ii) (May,1981) or subdivision
+% (c)(1)(ii) (May, 1987). Contractor/manufacturer is Bitstream Inc. 
+% /215 First Street/Cambridge, MA 02142.
+%
+% This software is furnished under a license and may be used and  copied
+% only  in  accordance  with  the  terms  of  such  license and with the
+% inclusion of the above copyright notices.  This software or  any other
+% copies  thereof may not be provided or otherwise made available to any
+% other person.  No title to and ownership of  the  software  is  hereby
+% transfered. 
+%
+% The information in this software is subject to change  without  notice
+% and  should  not  be  construed  as  a commitment by Digital Equipment
+% Corporation.
+%
+% BITSTREAM, INC. AND DIGITAL EQUIPMENT CORPORATION DISCLAIM ALL
+% WARRANTIES WITH REGARD TO THIS SOFTWARE, INCLUDING ALL IMPLIED
+% WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL
+% BITSTREAM, INC. AND DIGITAL EQUIPMENT CORPORATION BE LIABLE FOR ANY 
+% SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER
+% RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF
+% CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
+% CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+% 
+/n_chars  128 def
+/DC
+  {
+  /bits exch def
+  /name exch def
+  /num exch def
+  num 256 lt {Encoding num name put} if
+  CharStrings name bits put
+  } bind def
+/bsd 15 dict def
+bsd begin
+  /FontType 3 def
+  /FontName /Dutch801-Italic-DECmath_Italic def
+  /PaintType 0 def
+  /UniqueID 440305 def
+  /FontMatrix [.001 0 0 .001 0 0] def
+  /FontInfo 12 dict def
+  /CharStrings 1 n_chars add dict def
+  CharStrings /.notdef <0F> put
+  /Encoding 256 array def
+  0 1 255 {Encoding exch /.notdef put} for
+  /temp 15 dict def
+  temp begin
+    /get-word
+      {
+      0 s i get add 8 bitshift
+      /i i 1 add def
+      s i get add 32768 sub
+      /i i 1 add def
+      } bind def
+    /get-byte
+      {
+      s i get 128 sub
+      /i i 1 add def
+      } bind def
+    /get-name
+      {
+      /len s i get def
+      /i i 1 add def
+      s i len getinterval
+      /i i len add def
+      } bind def
+    /eval-arr 16 array def
+    eval-arr 16#00 {get-word 0} bind put
+    eval-arr 16#01 {4 {get-word} repeat setcachedevice newpath} bind put
+    eval-arr 16#02 {closepath 2 {get-word} repeat moveto} bind put 
+    eval-arr 16#03 {2 {get-word} repeat lineto} bind put 
+    eval-arr 16#04 {6 {get-word} repeat curveto} bind put 
+    eval-arr 16#05 {4 {get-word} repeat get-name do-char} bind put 
+    eval-arr 16#06 {0 get-word rlineto} bind put 
+    eval-arr 16#07 {get-word 0 rlineto} bind put 
+    eval-arr 16#08 {0 get-byte rlineto} bind put 
+    eval-arr 16#09 {get-byte 0 rlineto} bind put 
+    eval-arr 16#0A {2 {get-byte} repeat rlineto} bind put 
+    eval-arr 16#0B {6 {get-byte} repeat rcurveto} bind put 
+    eval-arr 16#0F {end PaintType 2 eq
+                     {temp begin stroke exit}
+                     {temp begin fill exit}
+                     ifelse } bind put
+    /do-char-arr 16 array def
+    do-char-arr 16#00 {get-word pop} bind put
+    do-char-arr 16#01 {4 {get-word pop} repeat} bind put
+    do-char-arr 16#02 {closepath 2 {get-word} repeat moveto} bind put
+    do-char-arr 16#03 {2 {get-word} repeat lineto} bind put
+    do-char-arr 16#04 {6 {get-word} repeat curveto} bind put
+    do-char-arr 16#05 {4 {get-word} repeat get-name do-char} bind put
+    do-char-arr 16#06 {0 get-word rlineto} bind put 
+    do-char-arr 16#07 {get-word 0 rlineto} bind put 
+    do-char-arr 16#08 {0 get-byte rlineto} bind put 
+    do-char-arr 16#09 {get-byte 0 rlineto} bind put 
+    do-char-arr 16#0A {2 {get-byte} repeat rlineto} bind put 
+    do-char-arr 16#0B {6 {get-byte} repeat rcurveto} bind put 
+    do-char-arr 16#0F {closepath exit} bind put
+    /eval
+      {
+      /s exch def
+      /i 0 def
+        {
+        /t s i get def
+        /i i 1 add def
+        eval-arr t get exec
+        } loop
+      } bind def
+    /do-char
+      {
+      t s i matrix currentmatrix
+      2 {6 index} repeat translate
+      2 {8 index 256 div} repeat scale
+      end CharStrings 5 index get
+      temp begin /s exch def
+      /i 0 def
+        {
+        /t s i get def
+        /i i 1 add def
+        do-char-arr t get exec
+        } loop
+      setmatrix
+      [/i /s /t] {exch def} forall
+      5 {pop} repeat
+      } bind def
+    end
+  /BuildChar
+    {
+    exch begin
+      0.2 setflat
+      Encoding exch get
+      CharStrings exch
+      2 copy known not { pop /space } if get
+      temp begin eval end
+      end
+    } bind def
+  FontInfo /version (Fontware-PSO 1.6) put
+  FontInfo /OutlineResolution 1000 put
+  FontInfo /Copyright (Copyright 1989 by Bitstream,Inc. and Digital Equipment Corp. All Rights Reserved.) put
+  FontInfo /Notice (Dutch 801 is a registered trademark of Bitstream, Inc.) put
+  FontInfo /Date (1989/4/13 12:34:32) put
+  FontInfo /FullName (Dutch 801 Italic DECmath_Italic (TM)) put
+  FontInfo /FamilyName (Dutch 801) put
+  FontInfo /Weight (Medium) put
+  FontInfo /ItalicAngle -15.60 put
+  FontInfo /isFixedPitch false put
+  FontInfo /UnderlinePosition -108 put
+  FontInfo /UnderlineThickness 60 put
+  32 /psi <008286017fe97f24825b82560280de8013048022804280c3811880bd818f0B7eb2
+    50d51fc704802281c57fff81887fe981530A97770B8fa0a1c2bfd60B958eab88ab6c048068
+    8151803680f78031809f04802e806c8049803d8071801d0B9d69bf60e4590380967f2509df
+    0381237ff40481ba800b821480848244810e0482528136828081d9822781d60481d781d2
+    821381608215813904821a80ed81f780a581c5806f048199803d816b8021812b80160381af
+    825709610380de80130F> DC
+  33 /omega <0082ac017ffd7ff3826981d30280fb81b90A7f9a04803581b27fad80a6802f
+    80180B9e61cf54f9610Bb58fd3bcecea0B855a8f2fb51d0481787fe781b37ffb81dc801504
+    8276807b82b6819681e481d30A7469048224819782178151820a81040481fd80bb81d9801f
+    817b80170B647e498d3fa80481298070813a80a8814c80d604815a80f981ae81808158818a
+    04810d8192811a80f6811380cb048109808b80e6802c809f801a0B6c7b58834a910B669b67
+    c86ceb04805e80d9807181218090815d0B9bb6b3ccebdc0F> DC
+  34 /epsilon <0081b80180027ff3817181d702815480670A688e0B6555462d10240B4c761b
+    9412ca04805480a1808280dc80bd80e90B9e7de264e48f0B81a93e95299104805a812380a5
+    81d7810d81b50Ba3759c56a43b0B8964ad61bb7b0B96a56fcf4fde04810d81de80d081dd
+    80a081cd04802e81a680168129809180fc0B50741d620235047ff080748008801d804c8002
+    0480807fef80bf7fee80f380040Bad94c8bae1e30F> DC
+  35 /theta1 <008209017ff37ff5821382e702816981db04816881618166808d8106803404
+    80bf7ff38071801f8091808e0480a580d3810381a3809c81d004804881f5800c818e7ff3
+    814e0A97780B8c9cb3f0ddde0480918190804580c4803e80a204802c8044805d7fee80c5
+    7ff6048189800581bc812881c181c60B9a79b373cd6d0A85a20B65864a8d2f940481bd822a
+    81bd8272819782aa04816f82e6811482f980d482d804809182b5807e825a80b882240480e8
+    81f8812b81eb816981db0281698200048138820d80fc821a80dd82440B62a76de9a2f504
+    815b82cd8165823b816982000F> DC
+  36 /omega1 <0082f001800c7ff382e781cc02807e818709b00480738148803d8104803580ab
+    048030806b804b8019808b7fff0480e67fd78123801a814b8063048155801081817fe081da
+    7ffc04821d800f825a8047827880860482a380de829a8130826f818409ea0A8ec9077ddf04
+    805581cd802d81ca800d8152099e0B8ca7abb5d3b5028245818704824f8123823b80b6820a
+    805e0481f1803181b57ff981818027048143805f818980d781a2810e0B94aa8ce955db04
+    813e815a814980ca813e80960B774d4f161d060B4a6e2fa72ed404808780cc80b2813680dc
+    81870781690F> DC
+  37 /rhomath <0082230180037f2081dd81d702813a7f200A94880481587f9c80e77f8a8093
+    7f940480147fa3801f802b8027808a0480358051804c801e808580050480d97fe1813e8003
+    817d80400481ca808b81f6810181ce816a0481ac81c0814781e780f181d104807f81b3803a
+    814a801d80de048002807a7fed7fdf802f7f8604805e7f4880aa7f3e80f27f3f0B9f80b97f
+    c8610280a9815c0480d1819c812c81e8816b81950481a2814b817380ae8146806704811c
+    802380bd7fe980868042048057808e807e811680a9815c0F> DC
+  38 /sigma1 <00816801800a7f99816f81da0280427fc40A78640Ba276c56ce8770Baa8cc7b0
+    d1da04810e8069809180ac805880f8048023813f8068819380b081a404811181ba81258175
+    815681850Bab8eaad245d60480e081dc80a881d1807681b204804081918012815c800c811c
+    047fff80898083807080ac80110B8c6687456c350B667045782a7e0F> DC
+  39 /phi1 <00826c017ffe7f1d823381da0280947ff90380557f1d09d60380e87ff404812c
+    7ff681668005819f802c0481f68069823c80d58233814304822a81b081c58201815b81c804
+    8108819c80ec812a80d580d70380a280240480628041804f8083805380c60480588116807a
+    815980af81930A6b96048046816a7ff8811f7fff80ac048003804e8040801480947ff902
+    811f80bc04813281008144815d819081790B9c8abb81ce6b0B9668954491260481e680c4
+    81c58083818e8056048160802f812c801f80f1801a03811f80bc0F> DC
+  40 /arrowlefttop <0083e801803e811283a981d00283a9811308b8077d03038179819e0A6ab303
+    803f8155083e07836a0F> DC
+  41 /arrowleftbot <0083e801803e808c83a9814b0283a9814b077c96083e038163808d0A96b303
+    80ac81120782fd08b90F> DC
+  42 /arrowrighttop <0083e801803e811283a981d002803f811307836a08c203828581d10A6a4d03
+    833c814b077d0308480F> DC
+  43 /arrowrightbot <0083e801803e808c83a9814b02803f814b08470782fd03826f80c00A964d03
+    83a9810908c2077c960F> DC
+  44 /hookleft <00811601809a81128169826b028169814b04811a814680d2816780d581c204
+    80d8821a811e82358169823208b90B57812c7e08690480bd8237809b81fa809b81bf04809b
+    818480bd814880f1812a0Ba46bce67f86908b80F> DC
+  45 /hookright <008116017fbc81128089826b027fbc814a08490Baa7ed382f8970480688148
+    80898184808981bf04808981fa80688237803482540B5b953298089708470480078235804c
+    821a804f81c20480528166800a81477fbc814a0F> DC
+  46 /triangleright <0081f4018011800081e281cb02801281cb067e350381e280e503801281cb02
+    803e818803818480e703803e80470681410F> DC
+  47 /triangleleft <0081f4018011800081e281cb0281e281cb03801180e50381e280000681cb02
+    81b68188067ebf03807080e70381b681880F> DC
+  48 /zerooldstyle <00820201801a7ff281e6820a02802a816204800480ea80238042809d800704
+    81247fc781b4801381db80a40481fc812081de81c7815a81fc0480d6822f805481e3802a
+    816202807a814e048091823d8190822d818a80c9048189809681848058815e803204813e
+    80128107800880de801c048082804a807180f6807a814e0F> DC
+  49 /oneoldstyle <00820201807d8000818481fd02807e81e80Bd57bd767d715067f030B802f7e19
+    2915086b07810608950B2b84289a28eb0680fd0B80d283e7d8eb0895077efa086b0F> DC
+  50 /twooldstyle <008202018026800081e0820a028027801908670781850381e1808e09630481a6
+    80528175805181388051077f610480e28088813980c3817681070481ae814781ba81a48175
+    81e104813e821180eb821780ad81f004807e81d2806481a1804f816f0A9a790B97a3b3c2dd
+    ce0Baf8ee67ffd5204815f8150813a8113811480ea0480cd809c8078805c80278019
+    0F> DC
+  51 /threeoldstyle <0082020180277f3c81c6820a0280a580b7086b0480f280a181488095816c8047
+    04818c800081747fa481337f790480bf7f2b80a97fae804d7fa90B547d53487031048072
+    7f3080cf7f39810b7f4a0481767f6a81c57fc381c680350481c68096819680c8814080e80B
+    a4a1cbc4daf40481ad819a819281d6815b81f5048120821880ce820e809681e904806781ca
+    8049819a803381670A91740B96a1adc2d2d50480c681c8810681cb812f81a404815d817a
+    815481308132810204810f80d280dd80bf80a580b70F> DC
+  52 /fouroldstyle <0082020180267f3c81e4820a0281357ffa067f4209ce0680be09e108c3091f06
+    81cd09530380278046083407810e028135819b067ea2077f17038135819b0F> DC
+  53 /fiveoldstyle <00820201802a7f3c81d182190280c281fe03804d80f10480b680e9813980d1
+    816a806804818f801b817b7fb581377f800B676d476327650B6a82598f489d0B67953fb01c
+    a20B5b70694583320480847f2980fd7f3d813b7f5f0481a97f9d81dc802881ad809e04817f
+    810d810681388099814b0Aace40780e20Aabe20A73890B6d6560644064077f3d0F> DC
+  54 /sixoldstyle <00820201802f7ff381d982c0028093815f0480c58197810e81ab8147816e04
+    8183812d818880a1816a805104813d7fd280597fe58093815f0281c382ab089604817482b7
+    812982a780e6827b04808b8240805181e4803b817b048027811c802480a5805c805004808c
+    800780e57fe6813b7ff90481d38017820080ea81b8816204817881cd80fa81cf809d818c04
+    80c482388115828a81c382ab0F> DC
+  55 /sevenoldstyle <0082020180257f3d81e981fd02806781fd0380268153099704806381a8807a
+    81a880d381a90780bf0380bd7f3d09be0381ea81fd077e7d0F> DC
+  56 /eightoldstyle <00820201802d7ff281d382c10280d98152048113812c817d80eb818680a104
+    818f804c815a800d8104800e04804f8010804f810580d98152028132818404816d81a581af
+    81c981bb82130481ce8288817082c1810782c104808f82c080308269804881ed04805481ac
+    808c818180c0815e048081813e803e8110803180c404801b8044807f7ff480f97ff3048173
+    7ff281eb804d81d080d20481bf8127817281558132818402811e81910480eb81b0809b81de
+    808d821d04807d826a80b782a7810382a80481a182aa819d81de811e81910F> DC
+  57 /nineoldstyle <00820201802b7f3c81d5820a0280427f53086a0480937f4780d97f55811f7f83
+    04817a7fbe81b4801981ca80820481dd80e181e1815881a981ac04817981f6811f821780ca
+    820504803381e680038113804c809b04808e8030810a802d816880710481578026813b7fe1
+    81037faa0480cc7f75808b7f6080427f53028171809e048140806680f6805280bd808e04
+    808080cf807d815c809981ac0480c7822a81aa821b8171809e0F> DC
+  58 /periodmath <0080fa0180427ffa80b7806d02809a80650B3fa60443461d0Bc15afcbdbae3
+    0F> DC
+  59 /commamath <0080fa0180277f5980d280720280287f6e0A876b0Ba593c7a8e4c60Ba1a3bbcd
+    bffc0B87dc1ff70bae0B6f40b945b71d0B7e4d3c1f14080F> DC
+  60 /less <008341018080801e82bf82360282c08236038081814a08410382c0801f08cb03
+    80e7812a0382c081eb08cb0F> DC
+  61 /slashmath <0081f40180377f1481bc82fb02819082fc0380387f1509aa0381bc82fc0954
+    0F> DC
+  62 /greatermath <008341018081801e82c082360280818236083503825b812a038081806a0835
+    0382c0810b08bf03808182360F> DC
+  63 /starmath <00822501800f8019821481fc028151814403811281fd0380d48144077f3c03
+    80b080d40380798019038112808d0381ac801903817580d40382158144077f3c0F> DC
+  64 /partialdiff <0081f40180417ff481b7827b02816981200481508166811a818c80cd
+    8177048045815380118085807180210480997ff780d87fe9810e7ffe048166801f81928086
+    81a680da0481c4815681cd8268811b827a0B558412720c3e0B7c51b657cd6e0B9c9bbacfe3
+    a4048185821b817781618169812002808f80c1048099810280be816e8115815b0481638149
+    815c80e1815280a4048147806481277ffc80d1800b04807f801980868084808f80c1
+    0F> DC
+  65 /A <008263017f998000822582a302817682a3096a03800a805e0B614a4f3a14330A7c6f
+    0780d50A85910B3b8031a551df0Ab5e20B8487898e918e0780d70A930c0B8a3f742433250A
+    7c6f0780fe0A84910B3d8438a42fdf03817682a302815b8103077f3d03812f820503815b
+    81030F> DC
+  66 /B <008263017fd08000823d82940281678294077f110A7b6d0Bc879d06bbd22038038
+    80670B6d3a61311d2c0A7b6d07811d0481228000815780058188801a0481c2803481f88065
+    820780a504821280d3820a810681f0812d0B6d9d4eac2fb80481f7817f824d81bd823b8224
+    04822a828781b982948167829402811c823d0B8eb798b6cfb70481bf827581e5823381d0
+    81e40481b7818781678170811181700B6e80527c599603811c823d0280d6813c0B889eb394
+    c894048190815081b580f78192809304817180348113801680b7801f0B56835ca565c403
+    80d6813c0F> DC
+  67 /C <00829b0180247ff2829582a2028296829c09670B71676066456f04819f82c48102
+    828a8091820804804881b480198146802780d5048033806f8073801b80d7800004812a7fe7
+    818d7ff181d8801d0Bab9bcebeeee40A6b930481657fa78050802a80a9816c0480fe829f
+    826b82f2825581d90999038296829c0F> DC
+  68 /D <0082d2017fcf800082aa82940281778294077f020A7a6d0Bc979d36abf2203803b
+    80670B6e3c5d2e192c0A7b6d07811f04813a80008186800b81ca802d04823b8065829480d2
+    82a681510482c48220823782948177829402811682260B8fb895d1d5cf0481a3827381db
+    82698203823d04824381f7823f8189822b8133048201807e8185800980c780220B438850ac
+    5edd03811682260F> DC
+  69 /E <008263017fce8000825682940282578294077e200A7b6d0Bc979cc68b922038033
+    80670B6e3a6431212c0A7b6d07820603821880b5096d0481d1805881a1802b8133802304
+    8114802080b38018809a802b0B6b8f7db982cc0380d781510481508151817a8165816a80e5
+    09930381bf81cf096d0B77686f4f5b3c04815d81658112817180df817103811482330B8593
+    8ab09cbc048143827b81a5827481b282740Bde7ff773f611099203825782940F> DC
+  70 /F <008263017fd88000827482940282748294077e0b0A7b6d0Bc97ad96cc522038048
+    80670B6d395b31162c0A7b6d0781290A83910B47811a8a2dce0380f0814d04810c814d817c
+    81588193813a0B94688d408a2409930381ef81ce096d0B7467674c503a0481808166812d
+    816e80f8816e038129822f0B859489b5a0be048169827981b8827381d582730Bda7ef15bf0
+    05099203827482940F> DC
+  71 /G <0082d20180217ff282ba82a30282ba829b09660B71696252435b0B77836e89658d0B
+    668d4b962e9b04819082b08127828f80d682500480758205802f818f8023811504801980b4
+    8043804c809980180481107fd181b27ff28225803303824d80d00B92c397dde1e10A859107
+    7ef80A7b6f0Bc47bdb7dc7310381c9805b0481a57fdc80647fe3809b812c0480de82ba825e
+    82eb827081d1099b0382ba829b0F> DC
+  72 /H <0082d2017fcf80008303829402817e8294077efa0A7b6d0Bc879cf69bc22038038
+    80670B6c3a61311d2c0A7b6d0781050A86930B3786309843de0380d381380B85908b949d94
+    0780eb0B98809f7b98620381bd80670B6e3a63311e2c0A7b6d0781050A85930B3886319844
+    de03829b822d0B91c0a1d3e3d40A8593077efb0A7b6d0Bc979ce69bc2203820b81850B7c70
+    756b646c077f140B6a7f6186689e038115822d0B91c0a2d3e4d40A85930F> DC
+  73 /I <00814d017fd18000817c829402817d8294077efe0A7a6d0Bc979cc68b922038036
+    80670B6d3b6531212c0A7b6d0781010A86930B3786359a47de038117822d0B91bf9fd3e0d4
+    0A86930F> DC
+  74 /J <0081bc017fb87ff381d3829402808e806d0B7864723e582c0B6e734f703c7d0B6e8b
+    799a7baa0B849c78b75bbd0B3690292970060480187feb80617fec809280040480d98029
+    80f78077810a80c003816b82350B90bea6cae4cc0A8593077ee20A796c0Bd87be572cf1b03
+    808e806d0F> DC
+  75 /K <00829b017fd2800082db82940281888294077ef10A7b6d0Bc97ad56ac22203803f
+    80670B6d3a5c30192c0A7a6d07811a0A86930B3a841e8b33d70380dd813e0B848e90919985
+    03818a80710Bae3fa82257210A7b6e0781230A85920B478327a207d003814881770381ed
+    81f7048220821e8252824a828b826b0B988eae95ca970A8792077f120A7a6d0Bdf7fb94c83
+    220380fb81670B76786c7d708a03811e82320B90bca5cfe5cf0A85930F> DC
+  76 /L <00822c017fbf800081f1829402806382810Bcc7cd56dc12203802c80670B6d3a602e
+    192c0A7b6d0781f50381f180bb096b04819f80378177802180e880210B2080147c30e203
+    810d822d0B91c1a0d4e4d40A8693077ef00A7c6d0F> DC
+  77 /M <008341017fcf800083708294027fd580130A7a6d0780d50A85920B688149813c9a0B
+    749883cc8ae60380df82200381248000098e03829d821f03822b80760B6c3763221a1a0A7b
+    700781080A85930B38862f9642de038306822d0B90bea5d4e5d40A8593077f4b03817180a1
+    03812f8294077f4e0A7a6d0Bc979d36abe2203803980670B6d3c5f301c2c0F> DC
+  78 /N <00829b017fc27ff282d582940281018294077f700A7a6d0B9381a981b6720B936b9c
+    59943e03803880670B6b35582d0f2c0A7c6d0780ef0A84930B27821b8c34e50380d5820203
+    81b27ff20999038266822d0B92c2a9d1ebd40A8593077f1e0A7b6d0Bd07bdd6dc71c0381ce
+    80aa03810182940F> DC
+  79 /O <0082d201801d7ff182b482a1028248828104820182ab81a082ab815482900480f9
+    827080aa8229807481dc048017815a7fe68073808c80120480d67fe7813c7fe9818b800504
+    81df802382238063825680ab0482b6813282f382188248828102820e827104828e821a822c
+    810481ed809f0481c7806381928029814c80150B597529750489048040806e80a3818580e3
+    81ec04810b822b81438267818d827d0481b6828981e98289820e82710F> DC
+  80 /P <008263017fd48000826882940281908294077eeb0A7b6d0Bca7ad96cc522038044
+    80670B6d395a31162c0A7b6d0781260A85930B5082148226c50380e081300B81848389888b
+    0480fc81418151813b8171813d0481ca8142822e8162825881b804827581f3826a823e8237
+    826a048209829281ca82948190829402812882400B8fb8a2baddb70481d6827482008239
+    81f581e90481e6817d818d815b812c81590B6c803b78459903812882400F> DC
+  81 /Q <0082d201801b7f4882b082a2028207826f04827d821b822a812181f480bd0481d0
+    8079819d803481518019048124800980ec800b80c5802b048058808380a2816b80d881cf04
+    80fd82138134825c817f82790481aa828981e0828a8207826f0280b57fc00B918eb0b3c9b6
+    0B8e819c7faa800Ba283c48ae497048245805783058179828d823a048253829781dc82b2
+    8176829b0480fc827f808a8210805181a4048000810a8008803180c97ffd03801c7f5e0A8d
+    6f04807e7f84809f7f8580ff7f670481bc7f2d81f97f3f827f7fd20A708d04822c7f9781fd
+    7f7a819a7f980481467fb2810e7fc380b57fc00F> DC
+  82 /R <008263017fcc8000823f82940281818294077ef40A7b6d0Bc879cd69ba22038033
+    80670B6d3a62311f2c0A7b6d0781080A86910B27822ea143ed0380d481470B9b7db67cd27d
+    03819b80000780940A85920B6c8258854b960B6f9562b859d103818a814e0481e38164823f
+    819f823f820504823f827581de82948181829402811482360B889e8fbab2be0Ba984df7ff7
+    590481e9820a81c6819e8181817a04815081618112815e80dc816603811482360F> DC
+  83 /S <0081f4017ff27ff081ef82a10281f0829e096c0B685840711e7a0480c082c9801f
+    8232808c81910480bd81498111811b813a80cd0481578098814a8055811d802d0480eb8000
+    809980058065802d048036805280258094802480ce096c037ff37ff40990048019802e805e
+    800080907ff704816e7fca820580948173813c048144817180f081ab80d581ec0480c38219
+    80cc825080f4826d048121828c8166828a818f82660481b7824381be820e81c281dc099003
+    81f0829e0F> DC
+  84 /T <00822c01802b80008266829402805481f404806882318090826580d3826e0B9984b8
+    87d1830B8e7d8d6e8a630380af807f048098802a80898016802f80130A7c6d07813b0A8593
+    0B18810f8e2af0038196825a0B889ea498bf97048233826c82368242823681f10993038267
+    8294077e0103803e81f60A967e0F> DC
+  85 /U <0082d201804c7fef830a82940281888294077ede0A7b6e0Bcb7be173cc2403805e
+    810104805080cc804480968059806104807a800d80d77ff181297ff00481db7fef821c804b
+    824580e703828f81fb0482a4824a82a98284830782820A8492077f1a0A7b6e0B997fc480cc
+    620B8b5d7d35751303821f810104820e80c381fe808081ce805204819e8024815780168117
+    8022048096803b80ac80b180c7811003810f821e0B94cca4e2f4e40A85920F> DC
+  86 /V <00826301803d7ff282c282940280e27ff2099503824c82210B9cb0b6dbf1e10A8692
+    077f370A7b6e0Be37ec0519c1303812a80880380ef82260B75c492ded6dd0A8491077ef80A
+    7c6e0Bc181cb5cd3230380e27ff20F> DC
+  87 /W <00834101803a7ff28398829402803b82830Bcb79ce6dd5220380c37ff209940381c8
+    81c90381ee7ff209990383198203048338824083508273839682830A8291077f400A7a6f0B
+    d279d269aa1903823a80ab038220821a0B7ac885e4cfe90A8591077f030A7c6f0B967fb77f
+    c4690B8e678c398e1c03810980a00380ee82260B7ac494ded6dd0A8491077ef60A7d6f
+    0F> DC
+  88 /X <008263017fa8800082b482940281748294077ee80A7b6f0Be079d861f60d038105
+    8146038028805b0B5d5b393a06340A7b710780f20A858f0B6a8141803b9d0B7a9c9bc1add4
+    0381138113038143806b0B9534842638260A7c6f07811d0A85910B2585249c0eef038169
+    816403822f822c04825382518277827f82ae82830A8691077f230A7a6e0B9480b785be6b0B
+    87656443533203815b819503813182270B6ac975dbbeda0A85930F> DC
+  89 /Y <00822c0180188000829282940281338294077eeb0A7b6e0Bd878dc57f8060380dc
+    811f0380a9805e0B6d3b593816330A7a6f07811c0A86910B3f831b7d30ca038142812703
+    8210821e0Ba2a9c5dcfde20A8694077f270A7b6d0Be07dd759a11803813381520380ec822e
+    0B6ac580cfc0d40A87920F> DC
+  90 /Z <00822c017fe38000823782940282378294077e5303805881f40995048097825780cb
+    82708134827009f8037fe4800d0A7f730781d00381ec80b5096b0481a880498171802580fc
+    8026077f71038237828b08890F> DC
+  91 /flat <008103017ff4804580a382450280138061048014808a800b80da802381010B8b
+    92a3a3b6940B9c6b934185260B6f5d5042352602800280460A90820Ba1a2c4c3e6e40B9595
+    abaeabce0B81a463c43ec00B617d4a67355203801e8245095703800280460F> DC
+  92 /natural <0081030180027f9680928215028003802e0Af7a7067f4209980681e70A095c06
+    80bc0968067e1802801b80730680a90Adf9e067f590A21600F> DC
+  93 /sharp <008103017ff27fa380a7820d0280127fa409970680990Ac7a2067f6a099706
+    80a00Aa18f08c80A5f700680860Aa18f08c70A5f710680900969067f640A39600680970969
+    067f5f0A617008390A9f8f067f7b0A617108380A9f90067f7102802980840680860Ac7a106
+    7f7b0A395e0F> DC
+  94 /slurbelow <0083e8018033806283b4815102803381510480a380ab812e806381fa806304
+    82c18063834780b183b58151095c04836b811f834180f3830980d30482b780a482558091
+    81f780910481948090812c80a580d580d80480a180f7807a812180558151095e0F> DC
+  95 /slurabove <0083e8018033808d83b4817b028033808d09a204807a80bd80a180e780d58107
+    04812c813a8194814e81f7814e048255814d82b7813b8309810c04834080ec836b80bf8391
+    808d09a4048346812f82c3817b81fa817b04812f817b80a381338033808d0F> DC
+  96 /lscript <0081f40180207ff781c182bc02807580fb04806d809d8077800780ee7ff904
+    81427fee8163803b8177807d0A63890B7257560a1d160480aa802c80d3810980d8813704
+    812b8170817581b281a6820b0481c2823f81d4828e819482b204815182d68111829e80ec
+    826a0480a8820b80888198807981270B6169435227380A946a0B9592aaa2c1b20280dd8161
+    0480ec81bf80fa822a813482780B959ebeb9de970481bb8264818c821a817381f404814b
+    81b98116818b80dd81610F> DC
+  97 /a <0081f40180147ff781c981c002813e81a30481a4817680e4800880878035048033
+    805d80c381d9813e81a302817b81b70A755b0B76a74ab126ad04809e81b0804181288022
+    80bc04800d807180057fe7807b7ff90480d1800681078060813280a3048127807f80f8800d
+    812c7ffb0481677fe681ad804081ca80690A708d0B4d3a1310388d0381c881b70933
+    0F> DC
+  98 /b <0081f40180197ff781dd82b00280b58164038107829d0B848e7f9670930480c782a6
+    80998298806882940A7c6f0Bc181c675b73703801d80470B7553a43ec9370481017fdc819c
+    804e81ce80dd04821681a9814e821c80b5816402809880ed0480df81f281df81aa816680a6
+    048140805880f78002809680120B56884f9f59c303809880ed0F> DC
+  99 /c <0081bc01801e7ff681a881c002818480660A7091048144804780f5800580ad802c04
+    807f80458075807e807880ad04807d80f7809d814080d281740B9e9ec4b4f0b40B887fa07e
+    a1720B816f62656a440B8c52da60dc970481ac81d3811d81c580e881b00480948191804a
+    8143802c80ee04801380a880178044805880140480be7fc8813c8016818480660F> DC
+  100 /d <0081f40180107ff4820782b20281738073038206829e0B84907c966d930481c582a7
+    81998299816982960A7c6f0Bc281c272b33703817281a50B6aa12f9d0f930480988199803c
+    8123801e80be048007807180087ff680757ff70480d37ff8810d80578139809d04812c8076
+    8100801481337ffb0481737fda81bc803981db80650A718e0B706b4f3832380B5b7f70b675
+    c802814581a40481a3817980ee7ff58087802d048026806280d181d6814581a40F> DC
+  101 /e <0081bc01801b7ff781aa81c102807f80e0048091811b80ac815280da817d0B9997e2
+    c7fc970B94596d2050090480f780f680ba80e9807f80e002817a8072048148804380fa8010
+    80b1802a04806e804280748091807b80ca04823580fb81cd822680d381a104808581778042
+    812f802780da04801280958017803b8058800e04808c7fec80d87ff2810f80080Bb095d7b7
+    f9de0A728c0F> DC
+  102 /f <008116017f9c7f27819e82b20280da81af0A98f10B87a592d4b1ee0B8a889a90a687
+    0B947163399c2f0Bcb73c7cf8de80B588f2884066d0480ad826580988202808581af092a0A
+    796209d703802a7fdd0480227fb280197f8480047f5d0B7d7a68595d660B778a859c85a70B
+    7f97649f519a0B4e73641aaf240480247f3180457f72805b7fa704808380078098806f80ad
+    80d50380d4819109eb0A859e09160F> DC
+  103 /g <0081f4017ffb7f2681f681c40281f6817908ab0B5b80367a138a04815381c78114
+    81cb80db81b8048062818f801680f7809e80ac04806e807d8021804c807c802204803a8003
+    7fd77fc080057f6b0480407f0281477f1581847f8a04819b7fb781997ff081738012048148
+    803a8105804580cf80560B6c86479556b00B868c91979d9d048108809c815280a7818680dd
+    0481af810781c1814081b1817909c502809580190480cb8006810c7fff81397fda0B976d99
+    4b8f310B745d51492f410480b77f3c804b7f3c803b7f8f04802f7fd380627ffb8095801902
+    814a819f04817a8178815d811f814480f304812b80c580eb809b80be80c8048078810c80eb
+    81eb814a819f0F> DC
+  104 /h <0081f40180047ff481d582b202809580eb038111829e0B85907c966d930480ce82a6
+    80a18298807082960A7b6f0Bc381ca78b837038004800009d504807d808c80aa8105811b
+    81670B8b8ab4abc3950B906a7e3e7827038125806c048118803c81047fe681587ff6048196
+    800281ba804281d580750A728c0B736b502a322f0B65867dc181cd0381af81380481c18175
+    81cf81d3816c81b6048113819c80c78135809580eb0F> DC
+  105 /i <0081160180287ff6810a82910280f8806a0A708f0B706949352a370B61826eb174c2
+    0380e181a30B8288899f789d0B6b7d4a7432700B677d4e7935760A7c700Bb37eca79ba3e03
+    8038807c04802d805680127fff80517ff80480997fef80d1803880f8806a0280fa82820B52
+    ac09683a3b0Baf54f697c6c50F> DC
+  106 /j <008116017fa27f2a810d829102804981a90A7c6e0Bc77cc873ba2f038052805f04
+    8041800b80327fb580147f640B7b736d585b610B71867a9b7aa60B80956fa35aa20B457c5d
+    12b31e0480637f3a80877ffc809a80510380e381aa0B838a829774960B687e4f7637720B69
+    7c52793b770280fe82820B51ac09683a3b0Baf54f697c6c50F> DC
+  107 /k <0081bc0180027ff681da82b302809780ee03811282980B8592849e6e9b0480d282ac
+    80a7829d807682980A7b6f0Bb17fc883b746038002800009d403808b80b90Aaea50380e3
+    80590B88639441a72a0B8e71a971bb770Ba98cd5c2ede60A72900B5044301d11770380f9
+    81120Aead80Ba19cc7b7f3b70A8591077f460A7a710B907fb07fa7660B796c6458544c03
+    809780ee0F> DC
+  108 /l <0081160180297ff9812382b70280f1806a0A708e0B706c4632293e0B69897ab57ec5
+    03811f829b0B838c899e759c0B697d51773a740B657c4a782f750A7e6f0Baf7ecc79bd4003
+    803f8091048035806c800d8006804d7ffb04808c7fee80d0803c80f1806a0F> DC
+  109 /m <0082d20180037ff582b381be02803781a60A7c6f0Bcf7bbd5fa815038004800009d1
+    048084809180a9811c812c81790Bc7b2a5419d240380f6800009d204816a807d819680f4
+    81f081540Ba5a8ead4d277038205806e0B755a60109b0904825c7fee8298803c82b3806b0A
+    738e0B6d6a59433b3a0B67796f9972a6038290813804829c816582b481b9826c81bd048217
+    81c381c8814f819a81120481a7814681d581bd817781bd04812581be80ca813d809d810103
+    80d181a30B8590829e6e9a04808f81b4806a81aa803781a60F> DC
+  110 /n <0081f40180087ff481d581bd0280a080f80380d881a20B889b829f679704809381ac
+    806581a7803981a20A7c6f0Bcc7ec56daf25038009800009d3048082808b80ac8105811e
+    81670Bd5c9ca78ba3c038126806c048119803c81057fe681597ff60Bbd8be1ccfdfe0A708b
+    0B746b512c34310B65867ec181cd0381b181380481c0816e81d381c3817d81bb04812c81b5
+    80cf813680a080f80F> DC
+  111 /o <0081f40180177ff581dd81c10281b0819804814c81f680b181a78066814f048020
+    80fe7fe98061805180130480b97fc6814c80148192806a0481d280b88207814581b0819802
+    814781a60481dd818781467ff280ae8013048019803380ae81c5814781a60F> DC
+  112 /p <0081f4017f957f2781e081bd0280a580e20480e081cb81d281d3817080c8048153
+    80778111800080ab80090B50844aa155ca0380a580e20280487f7b038069800204809b7fe5
+    80de7fef81108003048180803381d680b181e0812a0481ed81db813581e880c381610480f1
+    81f180e681af803881a20A7b6e0Bba7fcb7dba3d037ff77f810B72475b3b23380A7b6f07
+    80f80A85910B4580268036c20F> DC
+  113 /q <0081f40180127f2881ef81be02815e81a00481d0816381017ff4808f802e04801f
+    806680dd81e2815e81a00281a281b40A735404815c82208027816d8013808004800c8021
+    80427fe280a17ffc0480ec800f81258051814c80910381057f8b0B6c3861341a300A7d6e07
+    80fb0A81920B2d812c9043e00381ef81b409330F> DC
+  114 /r <0081850180188000818581bc02812281770B8d38f25de1a30B79a350a43796048105
+    819280ca813080ab80f90380db81a50B848d859a749704809d81b2806c81a7803a81a00A7d
+    6e0Bd67cc55bb315038019800009cf048082805f809d80bb80d181100B97a4b0cbd1e7
+    0F> DC
+  115 /s <0081850180057ff5817181c002817281bd09740B795e3c782a7d04807d81da8021
+    816d808b80f00480b480c08122806180cf80210B5d64256803850B609e56c651f0097403
+    80067ffb098e0B88a1d082e07f04810e7fde817e805f810a80e40480ec8108807f816280b5
+    81960B9998c796e3850Ba869b43ebd14098c03817281bd0F> DC
+  116 /t <0081160180247ffb812b822d0280fc822d09690480bd81ef808981b4803d81a50A7c
+    6d09c503802c805c0B73517119b32004809b800280c9803880ea80660A71910B594c080429
+    7d0380cf819209d50A879e092c0Aa5fd0F> DC
+  117 /u <0081f40180207ff781d981c0028084809c0380cf81a30B859188a0709c0B6c7e5878
+    44750B657b4a7730740A7d700Bbf7cc475b02b03803580a804802880788001800180547ffb
+    0480c17ff18115808f814780dd0A611a048118804381057fe281617ffb0Bb58edec3f8f20A
+    728c0B49310f0c328e0381d081b7092f0481628136812a80bf80d0805e0B72723e3c295d0B
+    729485cb8be10F> DC
+  118 /v <0081bc0180137ff481b581bf0280937ff4038110807804814980b581ae812481b5
+    817a0B85c240de25b00B644eb646aa1c048174810780f7807f80c580520380b881080B8080
+    7f807f800480a081fb80b581bb801781a60A7d6e0B937daf7eba6a04806681548062811d
+    806b80ef03807f7ff409940F> DC
+  119 /w <00829b0180187ff5829581c202819381c2096f0380b380820A7df20480af810d80af
+    81b6809781c20B7983166b03680A7f700B947ea77db36a04805f81648061811c806280f803
+    806b7ff50992038152813a03817a7ff5099003821d80a604824980dc82b28154828f81a20B
+    6eaa2fa92c77048238814b82b8818b820380b60A3b2e03819381c20F> DC
+  120 /x <0081bc017fd47ff481bd81c002812181680A4e3c0380d181a50B7b96719f5a9a04
+    807f81b6805881a9802a81a30A7d6e0Bb789dc88ec4a0380b280d10A290a0B6f695c584064
+    0B658b43923b6b0B77589d49bc500Bad89c9afe3d20Ac6e00480c2808e80d2802e80e28010
+    0B89709967ac6504814c7ff18182803d81a0806b0A728f0B49301f1005820380f781000Abc
+    d40B8f94a2b2bfa70B9877bc6dc98e0B8fa961bb40b30B58763d4b262c0F> DC
+  121 /y <0081bc017fc77f2981a481c302812580ac0A48280380d080e30480c9810880ad81ac
+    809381c204808e81c7802581ae801081ac0A7d6f0B977daf7bbe680480638164806d8123
+    807680fc0380ad7ffa0A3e280B6d67523d2d4a0B6b8854963e840B686c6e4c8a3f048032
+    7f0880967fa680ba7fd70480f080218190810781a181640B859a88ba74cf0B709350953c86
+    0B6d726f557f450B8c73a06ea45c04817e812c813c80d0812580ac0F> DC
+  122 /z <008185017fe27ff4819481bf028048804603818a81a20B8788939d7f9d0B6e815d60
+    2d640480af81af806681fb8034815a0A90770B98aaaeb5dfaa0480e2816d80ed8168812f
+    8171037ff2801a0B7b7b707171690B81798a7591770B9d8693a6df97048089800580e17fe8
+    81167ffa0Baf90bccdcaf70A6f8904811c7ffe80c88061804880460F> DC
+  123 /dotlessi <0081160180287ff680f781bf0280f8806a0A708f0B706949352a370B6182
+    6eb174c20380e181a30B8288899f789d0B6b7d4a7432700B677d4e7935760A7c700Bb37eca
+    79ba3e038038807c04802d805680127fff80517ff80480997fef80d1803880f8806a
+    0F> DC
+  124 /dotlessj <008116017fa27f2a80e481c002804981a90A7c6e0Bc77cc873ba2f038052805f
+    048041800b80327fb580147f640B7b736d585b610B71867a9b7aa60B80956fa35aa20B457c
+    5d12b31e0480637f3a80877ffc809a80510380e381aa0B838a829774960B687e4f7637720B
+    697c52793b770F> DC
+  125 /weierstrass <0083e80180bd7f6882e181db02811680760480ee804580bc800c80be
+    7fca0B814fa122d41f0Bbf7de9b2efec048188801881688066815780a704818d80e28215
+    8182826781770482bd816d828680df827280b4048258807c82368043820280200B68703163
+    2b8e0B7c9e99acacbc0B928f9caf81bb04818e80c9816f802781b380000482197fc8829f
+    806e82c380bd0482db80f282ef813482d8816c0B71a44fb829b904821f81a5819081048151
+    80bd04813d8101814d8148817f817c0B9291a5a2bab00B8d8a9b91a79c0B8585848e7e9204
+    81c481e781508177813f8162048106811a80f480cc8116807602811e806004812c80338142
+    800681467fd70B8455681835310B529752d264fb0B8ea3a8bfbfdd0F> DC
+  126 /vector <008341018000815d834182a102800081e30782d403820781910A964d038341
+    81da08cb03821d82a10A6a4d0382d4821c077d2c08470F> DC
+  127 /tie <008025018012821b817482b4028175821b04815f827b812d82b480c482b404
+    805b82b48028827b8013821b09b80B90c0b8d3f8d40Bc280e86ef92c09b90F> DC
+  160 /Gamma <00825b017fbf80008298829402827e81e70382988294077dde0A7b6c0Bd17fdf
+    6bca1c038043806f0B6930522702250A7a6c0781400A85940B3a831a8d30db038130822a0B
+    8fb89ec3dac309e8048249826d82648236826a81e709940F> DC
+  161 /Delta <008264017fb9800081f6829f0281f7800003819f82a00969037fb9800007823e
+    02800c802d03814781f8038182802d077e8a0F> DC
+  162 /Theta <0082e50180187ff282cc82a30282a2824904823782da814c82a880d1824904
+    807e8209804781ae802b814a04801380f7800d80968043804c048072800b80c57ff28113
+    7ff30481707ff381cb80138214804c048267808c829d80e682ba814a0482d2819d82d88200
+    82a2824902824f822304828081a1822e80d481d780720481a5803b81688016811d801604
+    80d9801680ac80318096807204806680f680b581c0810f8223048140825a817e827f81c9
+    827f04820f827f82378264824f822302815581740B477f368842c309670380c580e8099804
+    80f781308117812b815c812b0B9580dc87f1750B8f7388598548099803822381b709680B78
+    6b70545c480481c6816b81748174815581740F> DC
+  163 /Lambda <0082ae017fb28000825182a3028208808a0381c382a3096703802880770B64
+    574623101d0A7b6c0780be0A86940B27873ca768e703816981f704817281b881a4807e819e
+    80440B7f777c6e78660B706a4a6c326a0A7b6c0781090A85940B6e825b8650960B70976ac5
+    67e00F> DC
+  164 /Xi <008285017fdb800082aa829402827781df0382aa8294077dec03806481df09960B
+    95beaed6f0d60781380Bc57fcb6abf2a099602812081780B49802e8038bf096a03808680e1
+    09960480b9812c80e081258129812404813c81248194812a81aa81190B91738b5a88480996
+    03820381b7096a0B786b6f555a4b0481a1816e814181788120817802806580600B3d803398
+    3fd6096a037fdc800007821803822880b609690B6b43522a102a077ec40F> DC
+  165 /Pi <008300017fbc80008349829402834382800A8694077d2b0A7a6c0Bc77bde72c928
+    03803b806d0B6b34512c07270A7a6c07812f0A86940B3985218e36d903811e8216048139
+    8275816d827081c5826f0481e0826f823f82778257825d0B916d874e81390381e1806d0B6c
+    36502b06270A7b6c07812f0A86940B3784208c36d90382c982280B95cab1d3fad80F> DC
+  166 /Sigma <008250017fad80008277829402824581df0382778294077dfc0A7969038134
+    813f037fb6801c0A78640782140381f580b609680B6b46572a162a077eda03819381580A85
+    8f0380f2826f0780bc048210826f823e8241822d81df09980F> DC
+  167 /Upsilon1 <00826c018057800082db82d30280bd80610B71475f3422320A7b6d0780e5
+    0A85930B4781429750ca038152813a04817e8181822082848268829f0Ba38ea56f9d580B77
+    60924caf5b0482fb827882e282ef826d82c904823382b7820b828181e982520481ab81ff
+    817281aa813d815104813e81ba813e826d80e582b50480c682ce808682e6806582c30B5450
+    9d58c5390480ff823a80fc81a180fb813f0380bd80610F> DC
+  168 /Phi <0082fb01801b800082e1829402826a82800A8694077ed30A7b6c0Bca7bde77c928
+    048106821f807a81fb8037817f0480168142800d80f2804180bc048075808380c38077810d
+    80700B6b32512903240A7b6c07812d0A85940B3685228f38dc0481c58078821280868259
+    80b00482a480dd82df812882e181830482e381c382b581f7827c820e04824f822082208225
+    81f082280B95ccb0d4fad8028180820f03811480890B5685298c0fb004807980f380908143
+    80aa817f0480d081d8812482048180820f0281e9820f04823a8204827b81dd826f817f04
+    82658130824080dd81fc80b00481d5809781a9808e817c80890381e9820f0F> DC
+  169 /Psi <00831b01805580008376829902813e80ed0B5a832b8510a40480a4814380db81cc
+    80e981fe04810c828480dd82a5805d82950A79680Bd183be54ad170A6112048037810280a9
+    80d7813680d00A641d0B6c364f2b05270A7b6c07812f0A86940B3985228f37d90A9ce304
+    823a80d882be810882ea81a60A9fee0B92c29bece7e90A879804830082a582be8281829a
+    820a0482688166826f80fb81aa80ed03820282280B94c8b2d3fad80A8594077ed10A7a6c0B
+    c77bdf73ca2803813e80ed0F> DC
+  170 /Omega <008300017fe4800082ee82a302820e805a09050A91bb04823680b282b88100
+    82e38198048317824f828282a381e082a304813282a3807b824a8048819804801e81068070
+    80b280f880950A6f4509050B3e7f329740d60969037fe5800007810f03812680b40480b6
+    80d180a0813080be81980480e3821b814a827e81d7827f0482638281828f8212826d819804
+    824c812381fd80cf818780b4038154800007810f03829480b0096a0B6b425229102a
+    0F> DC
+  171 /alpha <008254017ff77ff4822d81df0281918135048193817f818881d3812b81d704
+    80b681dc803e816c80118109047fe0809c7ff1800c807a7ff70480e77fe5812f80268169
+    80770B8358860db8020Bbb73ddb9ede50A6c8e0B6e6551412c540B5d945dc15ee40481b1
+    810281dc8161822d81a60A47b90481c581a881ac81788191813502817680f204815580a0
+    8118802380b78013048049800080488080805a80c904806f812280ac81a7811081bb04818a
+    81d48178813c817680f20F> DC
+  172 /beta <008204017fb47f1d81e682e602800b8087037fb47f1d09d9038047804b0B9559
+    b039dd2f0480e27fec81218002815280280481a2806681d280ce81bb81330B72bc3fd90aed
+    04818f81be81ca81e481e082370481f3827e81cc82d1818082e204812382f780d382b580a7
+    826804806981fd802a8108800b808702807d815004809381b480bf8287812582b90B9a8dbc
+    8dd2780B9f639b34930f04817981f2814b81a280f281b70B6a85438846670B8559bd6dd56d
+    048177818c816b8109815780c20481478085812f803f80f280220B63724170237d048057
+    803c80508088805d80c303807d81500F> DC
+  173 /gamma <0081ca017fe17f2181b581d60280a7804b0480ab809f80c181b4806181d204
+    801281eb7fef81657fe181300A9a7e0B8ea4abdfdac0048094814280898077808a802c04
+    80587ff480297fb4801c7f680B7c697c409a3b0480827f16809f7ff380a680220480ce804c
+    8216819b819881d30B4d953e523b2f04814b810e80f080a280a7804b0F> DC
+  174 /delta <0082100180007ff381c482e30281a582610B72ab60d23aec0B619534a0128d0B
+    596b4737560f0480dd8230811e81e8814481b10480b4820080148164800280d8047fe57ffc
+    80d67fa0817880530481cc80b181da813d81a481ae04817a82028122824c8108828c0480ed
+    82d3815282e981898261099c028075812d048095817680f381e08142818e04818781478157
+    80a28127805c048102802780ae7ff38075802c04803c8065805980ed8075812d0F> DC
+  175 /epsilon <0081b80180117ff7819981db02819281b30A879d04810981ee806381cf8028
+    813704800280d680088055806880180480a87fef81017ff2814a80010A88a00480b67fff
+    805c8046806f80e70780dd0A86a6077f240480a381aa80fe81c2819281b30F> DC
+  176 /zeta <0081cf01800b7f4e81ac82d30280dc8226048071824a805e82bc810082b60A82
+    960480ca82d4806c82e4805182a204803082558089822580c4821004805981a98005812b
+    800c80900480148007805e800480d180000Ba080c585e1720B9b6c8b42792d0480df7f46
+    80857fa9805c7f870B7174745f83540B9f69dc73fe7b04811c7f6581597f8e816d7fcf0B8b
+    a787d962f1048107807080598028804780a10480308124808b81b280e482090481108205
+    81b881f581ac82430B7aa053a2399e048132825b8105824380dc82260F> DC
+  177 /eta <008207017ff77f1d81cc81d70280aa81160480b6814c80db81c0808c81d5048042
+    81e8801181897ff781530A97730B8995b9efd8d804807e818d80588112805280fe038008
+    800009d6048084807e80c5815d8143819d0481af81d2816c8127816381070380cf7f1d09da
+    0381af80fc0481bd813281ef81b4819f81d204813381fa80d6816580aa81160F> DC
+  178 /theta <0081ed01800c7ff481d782c002805581f2048018817c7fe0808d8045801e04
+    806c7ff480a77feb80dc8000048123801c815e8067818380a70481b7810081d5816781d8
+    81cf0481d9821581cf8270819682a104816b82c5813082c780ff82b10480b3828f807a8239
+    805581f202807e81540780e904815280fe8112801780a9800f0B537d3dae38d304805780b3
+    806b8106807e8154028171817b077f1704809b81c680da82a8813b82a60481b282a5817e
+    81bd8171817b0F> DC
+  179 /iota <0081180180007ff680d081cc0280c381cc092e0380128082048006805c7fea
+    800080297ff80480717fee80ac803c80d180700A718f0B6f69483128330B618270b575c503
+    80c381cc0F> DC
+  180 /kappa <0081fd017ff37ff481db81d902806d81cd037ff4800009d703808a80e70B8882
+    908398860380db804a0B914ea126e02b0Bb585ddabfed20A6e910B5a57282e0f7b0380ec
+    8121048114815081378185816981aa0B8854a933d84d0Bac9a9dd86ee104813081f180fe
+    8126809181050380c581cd09280F> DC
+  181 /lambda <0081c8017fbb7ff4819782e30280e281ce037fbb800009dd0380eb814803
+    80e980890480e8805480f37fe481437ff70481778002818b804a819780780A6b890B736765
+    4846460B477b45c846ed03811682140481188243813182ec80cf82e304809182dd80738289
+    805f82580A9d750B90a2bbd7e4b4048105826180fb81f580e281ce0F> DC
+  182 /mu <00823b017fb27f2181f381cc0280cc81cc092803800d805f047ff880137fe07fc9
+    7fc27f7f0B756761308a240Bb073b2b5b3d20480007fb8800b7ff9801e80370B8e4ea834df
+    410480d9800c810e8066813a80b1048130807c810f801681527ffa04819e7fd981d7803d
+    81f480730A67880B746a4818262f048167803c81848095818c80b00381da81cc092a04816c
+    81748154811b812980c9048111809b80d38034809c80270480428012808180c3808b80e803
+    80cc81cc0F> DC
+  183 /nu <0081c8017fef7ff781ab81d50280b681330480b7816a80c381c9807881d404802b
+    81df8001817d7fef81430A9d7e0B8896a6e4c7dc0B9b798c188b030380457ff809a503811b
+    80a804814f80dc81b1815581ab81a40B7da64fc22fa5048124819881928157810180bd0A23
+    1d0380b681330F> DC
+  184 /xi <0081e1017ffd7f4e81be82dc02811d82bb0A84980480eb82de80a382e8807d82b4
+    0B726d785483400B9164af55cb470480718202803a81a6809381500B526728490c1b048002
+    80bd7fef8075800780410480367fdc80e3800f81197ffc0Bb66c9e23680b0480b07f628071
+    7fa9804d7f820B76757b63865b0B9d6cc971e9750480fe7f5c81437f7d815e7fbd0B90a894
+    db74fc04811a807180838038804c806d0B669a6bc777e60B95b4c0d3f0ec0481ba80d281e2
+    81b580c5816404806481a1809c820580f1822d048119821f81b881f781be823e0B83a44fac
+    36ae048144826f8115825c80e9824d0B1fac3efcb4ee0F> DC
+  185 /pi <008263017ff27ff4824781e802801380910A6d7f047ff580627fde7ff0802f7ff5
+    0Baf83d0b4e2db0480b880a480d7812380ee8181038172817f03813c80a304813080728115
+    801f814e7ffe0B9f6ecd79ea8a0Bab9ac3ccd9f80A698b0B6d62400a141a0B5b8e77d67dee
+    0381c6817e048218817f822e8191824881e00A68880B796f70655d600B657a467d2a7e03
+    80db81c904806c81cb804181bf8022814d099f048054818c8097818180cd81810480bb8136
+    80938084805a80550B71745a6e4a7a0B6b8e6eac6fc20F> DC
+  186 /rho <008219017f9b7f1d81d981d8028094813b0B8daca1dcccf20Ba091cc93ec8404
+    8199818b8185811d817580db04814e803480e27fcb80498046038094813b027ff47f1d03
+    803b801604807b7ff980c67fe6810c7ffa04818d801c81e680ae81d881310481ca81b08163
+    81e480ed81d604805d81c680458158802280e3037f9c7f1d09d80F> DC
+  187 /sigma <00820e017ff97ff6821981f0028085814b0B98adb6d4e6e80Ba690cf80e76004
+    8186814d815580ac812c80670480b77fa67ffd804b8085814b02818481990481d1818e821b
+    8184821a81eb0A6c850B7b71716761620481c181c8815e81d6813481d70480ea81db80a1
+    81c98069819704801f81567fed80ee7ffd808a0480187fe380e17fd28152803204818b8063
+    81b780aa81be80f60481c3813981ad8168818481990F> DC
+  188 /tau <0081a7017ff67ff6818f81e802817e81e90B776d6861535e04811d81c080df81c7
+    80ab81ca04804081d1800981c67ff7814f0A967e04802481928057818480958181038060
+    80bd04804f8081802d801180827ffa0480d97fe2810d8041812e80810A6b8c0B6d6148141c
+    1a048080802d80aa809980b080b20380e9818004814c817c81718179819081de0A6e8b
+    0F> DC
+  189 /upsilon <008206017ff17ff581c281d702800881460B8e9f9cbfb7d40B8d8aa795b080
+    04808c8156801e80ad803d804d0B8d55b333e02b0480e87feb812980148157804c04818f
+    809081b380e981bf81400481c4816781ca81b181a781cd0B689245883b6b048154818e8180
+    814b8184811c04818f809b80f57fd9809d802504804d806a80fa814080bb81b20B6ba737af
+    119a0B5366373225020A97780F> DC
+  190 /phi <00825d017ff37f238229829d0280f17ff30Baa87d18ef7a10481b5803a81f88077
+    821780c70482368115822c816e81e881a50481c281c4819381ce816481d5038194829d0959
+    03813481d70480f981d380c381c8808f81aa04804781818006813b7ff880e7047fde805f
+    802a800d80a77ff503806a7f2409d40380f17ff302812981b20380af8012048033802e803d
+    80a58066810704808c816180c781a2812981b20280f9801503815c81b20481cd819881dd
+    813a81b780d6048194807a8155803580f980150F> DC
+  191 /chi <0081db017fab7f1c81c181d70280a380ab037fac7f2a09df0380b480340480ba
+    7ff680c47f32810a7f1f0481597f0981787f9281847fc60A67880B745a601c2b280480da
+    7f8380d3802280cf80550381c181cc09230380c180d00480bc810a80b881bf807e81d40B65
+    8a487c356804800f8197800381617ff681310A98780B8ba3a8e9d9d80480988170809f80d7
+    80a380ab0F> DC
+
+  /FontBBox {-107 -236 948 763} def
+  end
+
+/Dutch801-Italic-DECmath_Italic bsd definefont pop
+
+%%EndFont
+
+
+%%BeginFont: Dutch801-Roman-DECmath_Symbol
+% Bitstream Fontware PSO Font -- Version 1.6
+% DECmath Font Version 1.0, created 4-13-89
+%
+% Copyright 1989 by Bitstream, Inc. All Rights Reserved.
+% Copyright 1989 Digital Equipment Corporation
+%
+% This product is the sole property of Bitstream Inc. and
+% contains its proprietary and confidential information
+
+% U.S Government Restricted Rights
+% This software product is provided with RESTRICTED RIGHTS.  Use,
+% duplication or disclosure by the Government is subject to
+% restrictions as set forth in FAR 52.227-19(c)(2) (June, 1987)
+% when applicable or the applicable provisions of DOD FAR supplement
+% 252.227-7013 subdivision (b)(3)(ii) (May,1981) or subdivision
+% (c)(1)(ii) (May, 1987). Contractor/manufacturer is Bitstream Inc. 
+% /215 First Street/Cambridge, MA 02142.
+%
+% This software is furnished under a license and may be used and  copied
+% only  in  accordance  with  the  terms  of  such  license and with the
+% inclusion of the above copyright notices.  This software or  any other
+% copies  thereof may not be provided or otherwise made available to any
+% other person.  No title to and ownership of  the  software  is  hereby
+% transfered. 
+%
+% The information in this software is subject to change  without  notice
+% and  should  not  be  construed  as  a commitment by Digital Equipment
+% Corporation.
+%
+% BITSTREAM, INC. AND DIGITAL EQUIPMENT CORPORATION DISCLAIM ALL
+% WARRANTIES WITH REGARD TO THIS SOFTWARE, INCLUDING ALL IMPLIED
+% WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL
+% BITSTREAM, INC. AND DIGITAL EQUIPMENT CORPORATION BE LIABLE FOR ANY 
+% SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER
+% RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF
+% CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
+% CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+% 
+/n_chars  128 def
+/DC
+  {
+  /bits exch def
+  /name exch def
+  /num exch def
+  num 256 lt {Encoding num name put} if
+  CharStrings name bits put
+  } bind def
+/bsd 15 dict def
+bsd begin
+  /FontType 3 def
+  /FontName /Dutch801-Roman-DECmath_Symbol def
+  /PaintType 0 def
+  /UniqueID 440175 def
+  /FontMatrix [.001 0 0 .001 0 0] def
+  /FontInfo 12 dict def
+  /CharStrings 1 n_chars add dict def
+  CharStrings /.notdef <0F> put
+  /Encoding 256 array def
+  0 1 255 {Encoding exch /.notdef put} for
+  /temp 15 dict def
+  temp begin
+    /get-word
+      {
+      0 s i get add 8 bitshift
+      /i i 1 add def
+      s i get add 32768 sub
+      /i i 1 add def
+      } bind def
+    /get-byte
+      {
+      s i get 128 sub
+      /i i 1 add def
+      } bind def
+    /get-name
+      {
+      /len s i get def
+      /i i 1 add def
+      s i len getinterval
+      /i i len add def
+      } bind def
+    /eval-arr 16 array def
+    eval-arr 16#00 {get-word 0} bind put
+    eval-arr 16#01 {4 {get-word} repeat setcachedevice newpath} bind put
+    eval-arr 16#02 {closepath 2 {get-word} repeat moveto} bind put 
+    eval-arr 16#03 {2 {get-word} repeat lineto} bind put 
+    eval-arr 16#04 {6 {get-word} repeat curveto} bind put 
+    eval-arr 16#05 {4 {get-word} repeat get-name do-char} bind put 
+    eval-arr 16#06 {0 get-word rlineto} bind put 
+    eval-arr 16#07 {get-word 0 rlineto} bind put 
+    eval-arr 16#08 {0 get-byte rlineto} bind put 
+    eval-arr 16#09 {get-byte 0 rlineto} bind put 
+    eval-arr 16#0A {2 {get-byte} repeat rlineto} bind put 
+    eval-arr 16#0B {6 {get-byte} repeat rcurveto} bind put 
+    eval-arr 16#0F {end PaintType 2 eq
+                     {temp begin stroke exit}
+                     {temp begin fill exit}
+                     ifelse } bind put
+    /do-char-arr 16 array def
+    do-char-arr 16#00 {get-word pop} bind put
+    do-char-arr 16#01 {4 {get-word pop} repeat} bind put
+    do-char-arr 16#02 {closepath 2 {get-word} repeat moveto} bind put
+    do-char-arr 16#03 {2 {get-word} repeat lineto} bind put
+    do-char-arr 16#04 {6 {get-word} repeat curveto} bind put
+    do-char-arr 16#05 {4 {get-word} repeat get-name do-char} bind put
+    do-char-arr 16#06 {0 get-word rlineto} bind put 
+    do-char-arr 16#07 {get-word 0 rlineto} bind put 
+    do-char-arr 16#08 {0 get-byte rlineto} bind put 
+    do-char-arr 16#09 {get-byte 0 rlineto} bind put 
+    do-char-arr 16#0A {2 {get-byte} repeat rlineto} bind put 
+    do-char-arr 16#0B {6 {get-byte} repeat rcurveto} bind put 
+    do-char-arr 16#0F {closepath exit} bind put
+    /eval
+      {
+      /s exch def
+      /i 0 def
+        {
+        /t s i get def
+        /i i 1 add def
+        eval-arr t get exec
+        } loop
+      } bind def
+    /do-char
+      {
+      t s i matrix currentmatrix
+      2 {6 index} repeat translate
+      2 {8 index 256 div} repeat scale
+      end CharStrings 5 index get
+      temp begin /s exch def
+      /i 0 def
+        {
+        /t s i get def
+        /i i 1 add def
+        do-char-arr t get exec
+        } loop
+      setmatrix
+      [/i /s /t] {exch def} forall
+      5 {pop} repeat
+      } bind def
+    end
+  /BuildChar
+    {
+    exch begin
+      0.2 setflat
+      Encoding exch get
+      CharStrings exch
+      2 copy known not { pop /space } if get
+      temp begin eval end
+      end
+    } bind def
+  FontInfo /version (Fontware-PSO 1.6) put
+  FontInfo /OutlineResolution 1000 put
+  FontInfo /Copyright (Copyright 1989 by Bitstream,Inc. and Digital Equipment Corp. All Rights Reserved.) put
+  FontInfo /Notice (Dutch 801 is a registered trademark of Bitstream, Inc.) put
+  FontInfo /Date (1989/4/13 12:16:50) put
+  FontInfo /FullName (Dutch 801 Roman DECmath_Symbol (TM)) put
+  FontInfo /FamilyName (Dutch 801) put
+  FontInfo /Weight (Medium) put
+  FontInfo /ItalicAngle 0.00 put
+  FontInfo /isFixedPitch false put
+  FontInfo /UnderlinePosition -100 put
+  FontInfo /UnderlineThickness 60 put
+  32 /arrowleft <0083e801803e808c83a981d00283a9811308b8077d03038179819e0A6ab3
+    03803f81550834038163808d0A96b30380ac81130782fd0F> DC
+  33 /arrowright <0083e801803e808c83a981d002803f81130782fd03826f80c00A964d03
+    83a9810908cc03828581d10A6a4d03833c814b077d0308480F> DC
+  34 /arrowup <0081f40180577f53819b82bc0281167f540682fb03816881830Ab39503811f
+    82bd093403805781980Ab36b0380dd824f067d0509b90F> DC
+  35 /arrowdown <0081f40180577f53819b82bc02805880770380d47f5409cb03819b80770A
+    4d960381167fc10682fc0947067d0403808a808d0A4e6a0F> DC
+  36 /arrowboth <0083e801803e808d83a881d10283418149077d66038179819e0A6ab303
+    803f81550834038163808d0A96b30380a7811607829a03826f80c00A954d0383a9810908cc
+    03828481d10A6b4d03834181490F> DC
+  37 /arrownortheast <0083e80180377f4b83b082c40280377f740Aa85803835d8248038306817d0Ab4
+    6b0383b1828f0A4bb5038255824d0A954d03833582700380377f740F> DC
+  38 /arrowsoutheast <0083e80180377f4b83b082c3028037829c0383357fa003826a7ff60A6b4d03
+    837c7f4c0Ab5b503833a80a70A4c6b03835d7fc803805f82c40A58580F> DC
+  39 /similarequal <0083e80180aa80bf833d81c00280aa813204811a817f8160819581e5816904
+    827f813682b08126833e818208bf0482aa815a828b816e81e781a104816b81ca811681b4
+    80aa817108410280aa80bf07829408b7077d6c08490F> DC
+  40 /arrowdblleft <0083e8018027803183c081dc02812881710Aeabe0A65ae038028811808
+    5f03817780320A9bae0A16bd07829808b3077d100A20b70Ae0b80782f008b2077d68
+    0F> DC
+  41 /arrowdblright <0083e8018027803183c081dc0282c08171077d68084e0782f00Ae048
+    0A2049077d10084d0782980A16430A9b520383c080f708a103827181dd0A65520Aea42
+    0F> DC
+  42 /arrowdblup <0081f40180237f3b81cf82d302809081d3067d6909b20682ef0Ab8e00Ab7
+    20067d1109b30682970Abd160Aae9c03810a82d3095f03802481850Aae640Abeea0F> DC
+  43 /arrowdbldown <0081f40180237f3b81cf82d3028090803b0A42ea0A52650380e97f3c09
+    a10381cf808a0A529b0A4316068298094d067d110A49200A48e00682ef094e067d68
+    0F> DC
+  44 /arrowdblboth <0083e8018027805983c0820402812880c50781970A17430A9b510383c0
+    811e08a203827182050A65510Ae943077e690Aeabd0A65af0380288140085e03817780590A
+    9baf0A16bd0280d080f80A20b70Ae0b70782480Ae0490A2049077db80F> DC
+  45 /arrownorthwest <0083e80180377f4b83b082c40283b17f740380b3827003817e821a0A95b303
+    806c82c40A4b4b0380ae81680Ab49503808b82480383897f4c0Aa8a80F> DC
+  46 /arrowsouthwest <0083e80180377f4b83b082c30283b1829c0A58a803808b7fc80380e280920A4c
+    950380377f810Ab54b0381937fc30A6bb30380b37fa00383b1829c0F> DC
+  47 /proportional <0083e80180f1807082f681e302820781470481ea810b81c680af8179
+    80ac0B3b7d11bb11fb0B80c4affcf5fd0481be81a481e9817a8207814702822a80ee048257
+    8094828b805582f6808008a9048291809c826880ba823b8113048251814182678171828c
+    81940B9e9dc49eea9708a40482858202824b81cc821881690481f881a881cc81e7817d81e3
+    04811e81df80f1817f80f2812a0480f280d381298074818980710481d9806e820780b0822a
+    80ee0F> DC
+  48 /prime <00811601802c80aa80e9826902804780aa0380db81f70B91a79be267f10B448f
+    2b56242703802c80aa099b0F> DC
+  49 /infinity <00834101806b806b82d681ea0281a680ec0481cc80ae81f7806a8249806e04
+    82ab807282d680d682d6812c0482d58184829f81e7823e81eb0481eb81ee81be81a8819b
+    816804817781a7814b81ec80f981e904809781e4806c8181806c812a04806c80d380a3806f
+    8104806c0481558068818380ae81a680ec0281838145048167810c814580b880fc80b40B3f
+    7c15b715f30B80c1aff4f0f404813e819b81658175818381450281bf81110481db814a81fd
+    819d824681a20Bc184eb48eb0d0482b080b28215808181bf81110F> DC
+  50 /element <0083e80180aa8000833d826c02833e800008ba077e9b04813d803980f2808d
+    80e4812507825a08b3077da60480f781ea8144823281d9823307816508b9077e9b04811b
+    826c80aa81f480aa81360480aa8079811b800081d980000781650F> DC
+  51 /suchthat <0083e80180aa8000833d826c0280aa80000781650482cd8000833d8079833e
+    813604833d81f482cd826c820f826c077e9b08470781650482a5823282f081ea8304815807
+    7da6084d07825a0482f6808d82ab8039820f803a077e9b08460F> DC
+  52 /trianglelgup <0083e80180757fde837282e30280757fde0782fe0381f482e40380757fde02
+    80ba80080381f4828403832d8008077d8d0F> DC
+  53 /trianglelgdown <0083e80180757f2b8372823002807582310381f47f2c0383738231077d0202
+    80ba82060782730381f47f8b0380ba82060F> DC
+  54 /slashnegate <0080000180007f4b81a282c30280347f4c0381a382b10A4c930380007f5f0Ab4
+    6d0F> DC
+  55 /mapsto <008000018024808180b981dc02806181dc0944067ea509bc06809209d808b809
+    280680910F> DC
+  56 /universal <00827d017ffd8000828082ce027ffe82cf038108800009ec03828082cf09
+    160381ca81f7077ee503806282cf091c0280cd81a40780e003813e80670380cd81a4
+    0F> DC
+  57 /existential <00827f0180298000823282ce02823380000682cf077dff082707819f06
+    7f29077e80082c078180067f0f077e58082607820a0F> DC
+  58 /logicalnot <00834101807b80af82c581a402807c816b07820f067f4509ba0680f507
+    7db708460F> DC
+  59 /emptyset <0081f401801c7fae81d782fe02816782ff0A663204812482c380f682c580ca
+    82ba04806c82a1803c8244802a81eb048013817c801780f1803b80860B8d59a439bd190A59
+    1009aa0A9edb0480c67fed81027fef81347ffc048191801481ba807b81ca80d10481df8140
+    81e181d081b6823a0B70a659c43ce00Aa2e509530280a9803403815d8267048174822f8178
+    81f6817881b90481798155817d80ee816c808b0B7850671431060B52742b7f0ca3028141
+    828e038092806204807580e8807081ac808c82310B8ab1a0e6d6f30Ba489c482df6a
+    0F> DC
+  60 /Rfraktur <00831a01801d7ff582ee82f50282bc81ea0B8781a484ab8b0B8586828f7a90
+    0B70835e804f880B658e6bb46dcc0482af833281a48322817a825604814f8311807a8330
+    802c8284047fd281bb812b819b804281210A8b6b0480ac813b80f8818780a781ee048087
+    8216805882398052827004804c82b6809f82e880dd82cf04811882b78128826f8131823704
+    813d81e98140819a8142814c04814580e38155802380c5800f0B6b7d477e3a930B709a8bb3
+    94ca0B8ea36fcb49c70B487a4433570b0B9851cb39fd380480f17ff4812b80178152804a04
+    819480a2819e813c819a81a60Ad8950B9a68a74bac280482298117822180c98228807d04
+    822c804f8238800d82687ff80B9776a894b4a20Ad2d90A70900B6e6e554b37540B618b63bd
+    63d604827680f48287819f824c81d10Af09902828f81f703819881bf048191820381878251
+    81a882900B95a8bdcbedc504825b82cc82438275824a82470B865ea33ac5300F> DC
+  61 /Ifraktur <0082bb0180347ff4829382f502810081a60480ad81a2806a81e2806e823604
+    8071828480b882d6810b82b0048160828a818b821581f1821104824d820d8289825a8271
+    82b1096b0B87527c113f160481db824c818f82d3813582ee04803683387ff881858100818f
+    089702804980020B82a684d69df60B8e91a49dba960B9b79a85fb6490480fa802181268000
+    81677ff80481bb7fec82138004824980480482bb80d681ff814881f5819d0481ed81eb8280
+    81ed827d8152099504829881e48218821481d381c80481ae81a081b3815f81cd81320481ed
+    80fc822580cd8233808d048243804781f4801181b6800d048169800881488051811f808504
+    80c680f5802a80bc8035800209940F> DC
+  62 /latticetop <00830a018039800082d082ce02803a82cf084607812e067d6b09ba06829507
+    812e08ba077d6a0F> DC
+  63 /latticebot <00830a018039800082d082ce02803a800007829608ba077ed2068295094606
+    7d6b077ed208460F> DC
+  64 /aleph <00825a0180217ff1823782a1028022801c0A826804807c7ff580e0801280b7
+    80800480a680af807880d68082810c0B87a7a7c2c3db04810f8120815b80dc81a180900B9e
+    60bc3dca120B8572835b90510B857c8e8391870B94969abc9ada04822680b481a7811e8166
+    815e0381e381e60Bab619a3fae450B9588a4b0a6c40B85a96cc74ee00B6a914ca243be0B7e
+    877c9373920B6581594a58360B7e539d3ebc22038152817004811481a880d481e2809f8223
+    0B6c995ab450d30B7c8d7ea272ab0B6b905944573c04802981ff807681b880b1817a048059
+    812c802680f48045807a0B8c519e2c5d220F> DC
+  65 /Acursive <008276017f647f96820582ec02818e82c404817d824d811e819f80de813d0B57662e
+    4f023a0B9b7db57acf7904808980b980047feb7fb98006047f76801d7fd580a37fea80bd0A
+    6c7e047fa780887f3b7ffb7f717fad0B975ec369e07c0480277fe08095809780cb80ee04
+    80fa80eb812980e9815880ee04815080b181488073814580350B7f6a804c95400481887fd7
+    81f2806d820680860A7b940B746f4f31344d0481a2807b81ad80e081af81010B9f88b99ad2
+    ac0B667c4d7a33790481bc81c581d1825481fd82ed0B5b71376311570280f2812f048127
+    818a815881e88181824904817381e881688187815f81250B5b7e3783138a0F> DC
+  66 /Bcursive <008265017fe27fd6826482e9028066826c0A7f6d0Bbda9e1b7cd5d0480a281ec808c
+    81a28073815a04804e80ee801880887ff0801e0B786a6c50783a0Ba19ac3b4e5cf048072
+    8083809880de80bf813a048107813181718121818280cb0481908088816c803f8143800b04
+    80e2801380c4806f80d580c30A74770480a2806380a47fea81177fd604816f800f81de8070
+    81da80e60B7ebc58e823fe0481d181a7824481fc825f82690B88a48bd572f30B6e974e8c39
+    8004819e82a0812181ff80de81980480f481d3814c82b1813282d90B798a6b8662820480d8
+    82bc809c82958066826c0280c9814a0480f881a1812381e38169822c0B8c8cd2dbefcc0B95
+    778e548b430481d581eb81a481a38168816d0B73856589578b0A0a520F> DC
+  67 /Ccursive <008222017fee7fe4824c82da02819380db04817880a581518075812680490B6a6a3c
+    6c206f0B50852ea01ccc04803880ec8071816380a881bb0480d6820681328282819482900B
+    a585ca70d34a0481f3822a81d081fa81b181d904818081a48141817f80fb816d0A8a6404
+    81578172819b81a481da81e1048209820f825a8261824b82ad0B7b9866a84eac0B67844c7d
+    347504814582a180d48233807d81c504803281667fe080e07ff080600B8648a716df0804
+    80eb7fc28179807781c680e40A4d770F> DC
+  68 /Dcursive <0082d2017fce7fcd82bf82db02802b817504804281ab807a8238809e82580480d4
+    8289814f82958194828e0B5e623a47152d0480eb81a480a28110806a80760B6c8547963385
+    04800480647fd47ffd7fcf7fd80B7c54fdc3fec40480a5800b81017fdd815c7ff60481d5
+    8016826080a08296810c0482d1817f82d28219827b827f0481f1832180f982d48073825704
+    8021820c801a81e9802b817502808f806d0480ea8121814281da81a582890482a0823b828d
+    810d81f6806e0481a4801880ed8053808f806d0F> DC
+  69 /Ecursive <008217017fef7fe5821982d602817780d50B725a5e3747150480fc8043805c802e
+    8057809e04805280f080ab813b80f381510Ba089be85de800B9e97bcacdbc10481688191
+    80f381ad80f182020B7faba7e9d0fa048191829e81ff8252818d82010A90780481c58215
+    82218259821982940B7ab432cb06c004815882c480b48233809781f304807781a980a58180
+    80e6816604809281458040810f800d80c3047fe580847fe2802e80247fff04804c7fe38083
+    7fdf80b17fef04811e80138175807681a780db0A507a0F> DC
+  70 /Fcursive <00822e0180237fe0825c82db028061820609ac0B85a890f2bffd04811f82958176
+    825c81c882530B686c505f325504816981e9815881ab8145816d048117817180ea817b80bd
+    81860B616a41561f430480a3813c80ea81348132813104811880de80fd808b80d4803e0B5c
+    7835852aac0B76a38ac69ce30A6f7904805f809c802b805e802480210B7b56973fc04004
+    80a07fe280f08023811980490481498077816780f0817c812b0Ba095c1a9e2bd0B677f4f7f
+    36810481ad81b981cc820681f182510Ba492c8a5ecb704820e8297814e82e4811782db0B55
+    7828460f270B625a4d303b040F> DC
+  71 /Gcursive <008253017ff57f28823a82dd0281a981c60481db81ef823d825b823a829c048237
+    82e081eb82e481ba82d304814e82ad80d4823f808e81e8048043818c7ff681047ff5808804
+    7ff5803580197fe680747fdc04805d7fa180587f6180767f290480b67f4380ea7f6f8119
+    7fa20481597fe8817b8034819b808d0481c7810881c38109820e816a0481d2816c81968172
+    815b817b0A264504812c813f8155813c8180813704815a80e28123807d80df803e0B4b6c18
+    8703bc048025811480c48223814682740481d282cd82178243818e81c6099b0280857fdb04
+    80e7800081258061815b80b60A847d0B76696a535f3d0B726269435e240481047fd580e5
+    7f8e80ab7f670B5d9d51c75af40F> DC
+  72 /Hcursive <0082d2017f2b7fc582d382d1027f2c800e0Aee38047fe37fe8806d801b809a806404
+    80c680ab80ce80ea80e98132048133812b817f812681ca81290481a880de816d80488181
+    7ff904819c7f8b822f8049824780690A79960B7874452a324d0481da807e820b80f7821e
+    81260Aedbb0B627e447d257e0B899795ad9fc5048279820782a0826c82d482cb0B57712c66
+    025b048227823d820181d081dd8163048193816a8149817080ff817504811581ab818282a3
+    816582c90B729159824a7a0480f982a680c28287808f8264086e0B9187c4a6d2940480f3
+    824f80bc81b180ae818c0A16390Acf7704806b80d9804c80698001801a0B7371646b4f6a04
+    7f9980037f6280087f2c800e0F> DC
+  73 /Icursive <0081af017fd47fa481cc82d1028068820f0B9187a08fb0980B8a9e95bba7d40Bab8d
+    ca8df68a0480c281e380b8809680367ff30480018018801a8090803380bf0A4d5a047fe5
+    80587fb37fe47ff07fa50480607fc680c4805b80ef80c004810d8108812481538139819e04
+    814d81e5815f822e817f82710B92a6afc2cedd04819482ce813682df810582c50B576b324b
+    14280B69655c434f220F> DC
+  74 /Jcursive <0081db017fcb7f29820582cf02820682c504819582bf816082f480ff82a40480aa
+    825e805a81ea805181790B7d558d2fb71f0Ba8a3cdc8eff00B5f6b378130a604809981f9
+    80c6824680f2827e04811c828881478287817282810480fe819f80c87fff802e7f6a047ff1
+    7f99802b8044805080770A6276047ffc80247fbe7fbf7fcd7f5e0B836d8d589e4e0B8e78a6
+    89b28f0480687f6180ae7f9d80d97fe6048117804f814180ea8165815f04818181b881a4
+    824181d682900B8d949fa5b0b50F> DC
+  75 /Kcursive <0082a4017fda7fc482b182d802807c807a04809a80ba80b480fa80cb813d0B94749d
+    5ea6490480ca80d780a380a9807c807a027fdb7fc40Ba599cbb3f1ca04807d806180bb80aa
+    80fc80f004811080bd81577fdf81817fd50481a77fca81ff803d821680600A7b950B716c53
+    40344e0481958058815581088143813f0481bb81908275821a82a782a50B868f93a97fb20B
+    75862e3f24360481e7822d818f81c3813881590B5d74396c14690480f381ac81278232813e
+    829d0B838e859e7eac0B788c6c8b60850480dc82ae80a28283806982580A866d0B938ecdb5
+    cb820480b9820c808581848074815104804680ca801880447fdb7fc40F> DC
+  76 /Lcursive <00825a017f8a7fab825682dd0281a081d20481d981fa8255825f825782ac0B81b63d
+    b517ac0481aa82c8816a82a181328279048100825680de822e80c481f704808d81848070
+    81068040809004800180787fc7804e7fa380150B79755f536a450B8a73a783b187047ff7
+    7ffb801f80238049804e048093802480d57fbd81237fac0481877fda81d8802e8211808c0A
+    4b760481c6804e81a8801f81797ffe04810e801480db8084808480950480dc811c80e1815a
+    811e81ed0481358224814b825f8175828a0481e282b482298251818e81da0A92780F> DC
+  77 /Mcursive <008380017f357f7b833082dc0280bb82760B948bdbb3e88b048145821b80328057
+    7feb80150B6d6d535a365c0B6f82648c619b047f7a80427fa7807a7fc380a20A6c7d047f7b
+    80657f34800e7f367fbc0B815e9640ba3f047fab7f7b7fda7fb97ff97fe3048069807a80e8
+    816d812d822004812b819d8126811b81218098048121808281137ffe812e7ff40B9777b2a1
+    bbae0481b3808081f180e98231814e0482548186827781c0829981f90482798174826280ed
+    824d8066048248804782347ffd824d7fe00B8a739a72a87a0482ac7ff782e3803b830b806a
+    0A79930B74714b38345104829d806e82f6820382ff822e048308825983138284832282ad0B
+    858c919f8dac0B7e847b8477820482fd82c282d282ac82a782960482a382158236817d81f4
+    81160481e580ff81ac809f819580880B7b7c747b718104817c809881968271819082ac0B7e
+    9279a865ac04814b82e280de829b80be82890A7d6d0F> DC
+  78 /Ncursive <0082d2017f797f7782c482d902806082540A846a048081825980cb829180f082650B
+    926c904e8b360480e981b780968115806980bc048050808b801a801e7fe380030B777c6677
+    5e810B74927eae84bf0B8eaaabcbc9ea0A6277047fc2806d7f9280337f807fec0B79636e17
+    9a0d0Bae74eedefef604807c808380e981708117821e048155815e817e809181967fc90A88
+    810481e6803c822780b3825d812e048281818082dc825e82c082b904829c832482058260
+    81f382470A8a6f0B9197a4afc1b80B9f88b873c0570482a081d1821780cf81df80670481c5
+    811e818d8243813382da0480e382bd80a1828b806082540F> DC
+  79 /Ocursive <00829f017ffc7fe082a482da02813b829b0480aa8240802381a6800380fa047ff6
+    80ad7ff48050802f801504805c7fe980a37fd780e07fe50481c2801882d4814f829d824304
+    828182bf820b82fc819782c904816b827b8127823a80f181f20A99810B9aa5b6cadde304
+    8191827281cf827d81f9825b04828681ec820780c0819b8066048135801080868033806e
+    80c204804f817680c1822e814b82980A70830F> DC
+  80 /Pcursive <008251017fee7fb9825482d40280b280f70480e08168812e821d819682600Ba297c7
+    96cf670481fa81d381968103811580ed0B5e7b3d7f1d8a02806a82410B8d8bcbb3d49104
+    80cc821c80788151806581200B6b71566340560B8c749969a85e04803880a57fe37ff27ff0
+    7fc80B866f9c70aa740480537fce80937ffd80c4801c0A819604802a7fc580838077809e
+    80bf04818480a9827f81b0825082910482258360812c8213810d81e10A7b830481188214
+    814d829c813f82ca0B7d87758b6e8a04811582cf80838269806c825a0A7e670F> DC
+  81 /Qcursive <0082a4017fd37fa7828782d502821b80450481b67fc281467ff380be802a048128
+    805e8191809581e880e704823d8139828381a38287821c04828d82cb820582f9817682b504
+    80f08274806181ed803e8156048031811e803080d8805b80ab0480b5804d815080d28186
+    811b096404814180e080d680b980b1810e048081818180da8259815982830481d482ab821c
+    824e821181d70482028121814d806a80a0803a0B5b8d379d11a60A22210Ba96bc568f07404
+    809a7fd081177f91817b7fae0481c07fc3820e800b823a80440A61810F> DC
+  82 /Rcursive <008296017ff77fc9827882db02807482440B918cb3a9c8950B8e728c5b8a490480b5
+    81b2806880f6803f808904803680727ff57fdc7ff87fcc0B817e847d867e0B8482f2ddfee6
+    048095808780b380dd80d581320480f480fb811280c3812d808b048138807481717fed818d
+    7fdc0B8c79977ba2820481d27ff6820f8042822a80610A79970B6e6b514230520481a7805e
+    815481168142813e0481c881698229819d82608224048271824c828f82b3825f82d404820e
+    830a813481e7811081b40A7e840481878338815f82f28072825b0A82690280dd813a04810f
+    81968166821a81b9825b0B9590bba8c681048210821681c981ac8199817d0B5e6041601565
+    0B65734a652f580F> DC
+  83 /Scursive <00820b017fe07fdf821a82d60281aa81d70481c681f082178254821b82760B81867b
+    8f78940B6ea74cc321ca04810382f37fe781b680b181400480f0811c815b8105815480a90B
+    7b416131232404807380307fdf8083807080fa0A5c7d04802180c17fed80777fe180320B7a
+    64bd3cd0360480ef7fa7822380f88161816a048126818d80b381a880b582000B80c2a0dad9
+    eb048184828e820c8246819081da0A9a7d0F> DC
+  84 /Tcursive <00828a0180357fdb82ce82d9028035825b0A8d78048077827a8094827d80d4827004
+    811682628157824d819982420480ea81db7fe981208087803d0B9562cc19fd1f0Bac86d9a8
+    f9c20481c2805581f9809a822680e50A4f7a0481d4809d81a98062817180300481118041
+    80cc809580ca80f60480c78192814181f081b8823c048229822c82a5825c82cf82ce0A768b
+    04828082cb823f82ac8201828c0481958292813382c880ca82d904809b82aa806982848035
+    825b0F> DC
+  85 /Ucursive <0082bb0180077fe2829b82de02806982600A856d0B9c90d4b3d4780480c181f3802e
+    8082800e801b0B755e793da74c0480ae800e813b80bf8180812c0A847e04816b80e18146
+    8048815a80000481787f96823080658238806e0A79920B6b692e2d1d6a0481af80d68226
+    81cb8251822c04825d824682a282cd829b82dc0B7b880c5804540481d681ea817480f980c4
+    80750B2b414cb25bda0480c1812b8147826b814882b10B80907ca36ba90B798273816e7e04
+    80f282c28095827e806982600F> DC
+  86 /Vcursive <0082390180387fd8825e82da02803982460Bae9ce2afe9660480a981e3808f815d
+    8084811904807a80dc8070809e806480610B7c6e785c76490B7c5aa019cb380480e4800d
+    814d80aa817580ed0481a1813681c7818381ed81cf0Ba790cca6f1ba0B648d51a046bc0B8e
+    a59ecaa0f10B81917bb262a10481f782b681a3823481ce81f60481b381a68127807280e4
+    80590B526f5bb95ece0480d681318126823d811782b80B7e8c7c9b6f9f0480ed82dd804d
+    826a8038825c0A816a0F> DC
+  87 /Wcursive <00831801802b7fd7835082dc02802e82460Ba297d6abe5730480a581f4806e80f7
+    805f80ae048056808480297ff3806a7fdb0B9b76b48ec5a004810b8060814f80dc81958153
+    0B7a5e733c6d1a04817480ab81618069815980260B7d67793a9b330481ef7fbd82c58175
+    82ec81c60Ba293c3a7e5bb0B658c539f47ba0483218251834d82e3831c82dc0482f382d5
+    8274823b82c981da0482b28191822c807681e880560B546b549f58bb0481ce80f4822e827c
+    822082c20B7d8c739667960481f282d8819682958185828a0B9971a55ca83f0481b28215
+    81a981c0819381900481708142812080c980ee80810B76715c5547660B708d76ae78bf04
+    80c3813c80ed81cf810382650B829190e179ee0B7c82768371810480c582c580518272802c
+    82590A826d0F> DC
+  88 /Xcursive <0082d2017fa27fb982a482de028074824b0A866b048093824d80d8828e80fc826304
+    81248233812081698122812304810180fa80398009800080020B717e678862950B75a27fce
+    8bee0B8da3a1c0bbdb0A778a047ff280c17fc980927fb38058047fa480307f947feb7fb4
+    7fc60B8f6ea874ba7e0480507ff980d980a58125810104812880bf81247fe8817a7fd40Ba9
+    76d99af6af0482378039826b8082828d80d50A4e76048245808a8221805381ef8025048179
+    804d818180f4817c815a03820b820a0B806883548c3e04823f81e2826b81f7829782090B5e
+    9757c458eb0482f883088257830a820d823d038179817b04817981bd81808283816582b80B
+    779066a252a304810a82dc808f82668074824b0F> DC
+  89 /Ycursive <0082710180377f2b82ba82e002803882680A836f0B968bbc9ed48c0480b982458098
+    81a8809381880480818128806680c3805880640B7e6c7b5580410B86629d52b94b048075
+    7fc080537f8a805a7f4f0B845d9354b0670480c07f5780f27f83811d7fb20481497fe28162
+    801e817c80590481d4811e823d823482ba82de04828782c9825482b6822082a30481ea821b
+    81b48191816d811104815780e98112808080f0806f0B7178607b57890B6d9f76cc7bee04
+    80d5817581218237810a82c40B7d9273a25f9a0480be82cf806082848038826802815680cd
+    0A837f0481308053810a7fbc809f7f6d0480897f96808c7fc2809c7fec0480e18014812e
+    8086815680cd0F> DC
+  90 /Zcursive <00824c017fbb7fba827582d902806782230Ab2870B8b9897b0aac404811a827e816d
+    825e81c4825c0380358081047f8d80407f9f7f7b80248034048072802e80a57fd480f27fbf
+    0481647fa181bc803381e080870A567a0B7a5f6c405925048158800f811b802d80eb80450B
+    5b9239aa13b90B7186658655810381f1825604822d8261829082b5827182d30B679a236013
+    500481c082ae817f82c8813d82d80B6e84627b54700480d2829a8097826280678223
+    0F> DC
+  91 /union <0083e80180bd7ff5832a828802832a82880946067e9c0482f080ea82e780aa
+    82be807e04828a8045823f802e81f4802e048155802e80f7808480f88124068164094606
+    7e9c0480bd806681377ff681f47ff50482b27ff6832a8065832a81240681640F> DC
+  92 /intersection <0083e80180bd8000832a82930280be800009ba0681640480f782048155
+    825a81f4825a04823f825a828a824382be820a0482e781de82f0819e82f08164067e9c09ba
+    06816404832a822282b1829381f48294048137829380bd822280be8164067e9c0F> DC
+  93 /unionmultiset <0083e80180bd7ff5832a828802832a82880946067e9c0482f080ea82e780aa
+    82be807e04828a8045823f802e81f4802e048155802e80f7808480f88124068164094606
+    7e9c0480bd806681377ff681f47ff50482b27ff6832a8065832a81240681640281db809609
+    b206809407809408b3077f6c068094094e067f6c077f6c084d078094067f6c0F> DC
+  94 /logicaland <0083e801807d7fb8836a829c02820d829c094e03807e7fb909bb0381f4825703
+    832f7fb909bb03820d829c0F> DC
+  95 /logicalor <0083e801807d7fb8836a829c0281db7fb909b203836a829c09450381f47ffe03
+    80b9829c09450381db7fb90F> DC
+  96 /turnstileleft <0082630180378000822b82ce028038800009b906814a0781bb08ba077e4506
+    814b0947067d310F> DC
+  97 /turnstileright <0082630180378000822b82ce02822c80000682cf0946067eb5077e46084607
+    81ba067eb609ba0F> DC
+  98 /bracketleftbt <0082100180e67f2581cb83080280e78308067c1e0780e408bf077f5e
+    0683a3093e0F> DC
+  99 /bracketrightbt <0082100180447f25812983080281298308093e067c5d077f5e084107
+    80e40683e20F> DC
+  100 /bracketlefttp <0082100180e67f0781cb82ea0280e77f0709c20683a30780a208c007
+    7f1c067c1d0F> DC
+  101 /bracketrighttp <0082100180447f07812982ea0281297f070683e3077f1c084007
+    80a2067c5d09c20F> DC
+  102 /braceleft <0081f40180557f14819d82fb0280dd7fbd0480dd7f2e81167f17819e7f15
+    089a04813c7f33812a7f50812b7faf06808b04812b80b3812080e980a381080481218126
+    812b815d812b81d506808c04812a82c0813d82dd819e82e2089a04811782fa80dd82e080dd
+    8253067f530480dd813c80bd81238056811708610480bd80eb80dd80d480dd8068067f55
+    0F> DC
+  103 /braceright <0081f40180557f14819d82fb0281167fbd0680ab04811680d4813680eb
+    819d80f8089f04813681238116813c811681a60680ad04811682e180de82f9805682fc0866
+    0480b682dd80c982c080c98261067f740480c9815d80d38126815081080480d380e980c9
+    80b380c9803a067f750480c97f5080b77f3380567f2f08660480de7f1781167f2e81167fbd
+    0F> DC
+  104 /angleleft <00814d01801c7f008131830f028108831003801c81080381087f010Aa992
+    038062810803813182fe0A57920F> DC
+  105 /angleright <00814d01801c7f008131830f02804583100A576e0380eb810803801c
+    7f130Aa96e038131810803804583100F> DC
+  106 /bar <00825a0181177f0f814183000281187f1009aa0683f00956067c100F> DC
+  107 /bardbl <0083e80181807f14826782fb02818082fc067c1909ba0683e7094602822e82fc
+    067c1909ba0683e709460F> DC
+  108 /arrowupdown <0081f40180577f14819b82fb0281167f8206830c03816981c20Ab395038120
+    82fc093403805881d70Ab36b0380de828e067cf403808b804e0A4d6a0380d47f1509cc03
+    819c80380A4d960381167f820F> DC
+  109 /arrowdblupdown <0081f40180237f1481cf82fb02816480140681e70Abd160Aae9c03810a82fc09
+    5f03802481ad0Aae640Abeea067e190A42ea0A52640380e97f1509a10381cf80620A529c0A
+    43160281317fbd0A49200A48e00682960Ab8e00Ab720067d6a0F> DC
+  110 /backslash <0081f40180297f1381cc82fc0281987f130Ab49403805e82fc0A4c6d038198
+    7f130F> DC
+  111 /wreathproduct <0081160180377fb680dc81f90280db7fb708a00B4585229913d404805d806f
+    8077809d80a180cf0480d6810e80ed814680d2819a0480bb81e1807d81fc803881f9085e0B
+    b57fda6beb340480be813580908106805c80c904803380a28032804c803f801b0480567fca
+    808f7fba80db7fb70F> DC
+  112 /radical <0083e80180267c7e83ec80300281df7c7f09980383ed800908a70966038207
+    7cf00380df7f260380277ec80A8f610Aebb60381df7c7f0F> DC
+  113 /coproduct <008300018017800082ed82940280178294086c0Bc97be276e228067e450B8034
+    652c1e27086c0782d608940B3a851e8c1ed90681bb0B80ce9ad3e2d80894077ed1086c0Bc5
+    7ce171e227067e5704821f801b81e4802581928026048131802680e4801180e5807e0681a9
+    0B80cd9cd4e2d90894077ed00F> DC
+  114 /gradient <0082c90180177ff582b582940281707ff60382b68295077d6203815e7ff6
+    099202818a80940380a982680781c203818a80940F> DC
+  115 /integral <008112017fa77f4b816b82f502815482e30B61983396118604808782bb
+    80748241806981e5048059815c805c80d180578048048055801a80557fb6803a7f8e0B726c
+    5a6d4f820B759672ab55ae0B4586384061200Ba068cc69ee7a04808b7f86809e800080a9
+    805c0480b880e480b5816e80bb81f70480bd822480bd828b80d882b30B8d93a794b17d0B8b
+    6a9055ac530Bba7ac7c09fe00F> DC
+  116 /unionsqr <0083e80180bd8000832a828802832a82880946067db2077e0806824e094606
+    7d7807826c0682880F> DC
+  117 /intersectsqr <0083e80180bd8000832a828802832a8000068288077d94067d7809ba06824e07
+    81f8067db209ba0F> DC
+  118 /reflsubsetsq <0083e80180b57f85833d828a02833e801e08ba077db20681f907824e08b907
+    7d78067d940782880280b67f8607828808b9077d7808470F> DC
+  119 /reflsupersetsq <0083e80180b57f85833d828a0280b6801e07828806826c077d78084707824e06
+    7e07077db2084602833e7f8608b9077d7808470782880F> DC
+  120 /section <0081f40180387f8381bb82c30280e7805f04810c803f814d800f81407fd704
+    81347f9d80e87f9080b87fa40B5d906d9f7eb20B98998ac36acd048045803d80307f9a80cb
+    7f860481137f7c81757f9581887fe504819a802d81608064812e80900481638090819a80a7
+    81b180d90481d28125819d8169816681980A2aca0480e6820580ab823280b3826f0B88b4c1
+    c3edb60Bd964503593050Ba863dc89d8b604818582a5813f82c3810282c30480b582c38065
+    82938069823e04806c8201809c81d980c581b304809181b2805c819c8044816b0480208120
+    805880da808f80ab0Ad83402808f81220B60b06af3adf80480f4819f814a814a8165812004
+    818980e8816f809f812680aa0480f980b080a780fe808f81220F> DC
+  121 /dagger <0081f401802b7f7381c882c30280bf81190480e3807280ea801c80ee7f7409
+    9904810880018112808f8135811904811481518106818c810581cd0Bcc78d260fe580Ba279
+    c68bc5b00B7ea75cb939b10B4f75445e045b0B809d81b989d40B899c98b49fd00B8aa16ebe
+    4ebe0B5e8142644c420480dd823780ef824380ef81e10B4083359a04a50B5d883a76394f0B
+    7f5ba349c5500Bac88b4a1fea80480ee818c80e0815180bf81190F> DC
+  122 /daggerdbl <0081f401802b7f6e81c882c30280ec81c90480ef818a80de814e80bf8118
+    0480e080e080eb80a880ee80670B39862f9d02a50B5e873b753c500B815aa347c64f0Baf8b
+    bf9ffaa30480ed7fe580df800180c77fae0B775e9141b2410Ba280be9cb4bf0B79986cae64
+    c60B789d77bc76da0Bca7bc868fa5d0Ba378c58ac7b10B81a55eb73db00B5378335a035c04
+    810480a6811680e381358118048115814f8108818b810681cb0Bc779d062fe5a0Ba279c58b
+    c4b00B7ea65db93ab10B51764061065d048106824c81168231812d82840B8aa26ebf4ebf0B
+    5e8142644c410480e0822d80ea825480ed81e30B3c84369806a30B5d883a76394f0B7f5ba2
+    49c3500Bae88caa5fda40F> DC
+  123 /paragraph <0081f40180207f9181d382b60281d482b6077f0c04807a82b68020827b
+    8020820c04802081d9803781a8806081880Ba365cb5ef65b067e2f09b70682fa09d6067d06
+    09b60682fa09bb08aa0F> DC
+  124 /clubsuit <00847d0180687f88841382ff02825c809e08df04829c80f682bd80b282ea808c
+    04836580248413807b8413811b04841381bc8365821282ea81aa0482be8185829c8140825c
+    813904825b818382a381a482cd81d7048335825282df82ff823e830004819d82ff81478251
+    81af81d70481db81a282218185822081390481e1814081be8185819281aa04811782128069
+    81bc8069811b048069807a811780248192808c0481bf80b281e080f6822080fd048220806b
+    8224800181c87f880482167f9982667f9982b47f880482777fd9825c8038825c809e
+    0F> DC
+  125 /diamondsuit <00847c0180887f8983f3831c02823e7f8a0482de804e833480a883f3815204
+    833c81f882db825d823e831c0481a18261813c81f7808981520480d5810c812280c7816a
+    807c0481b4802e81f97fdc823e7f8a02823f7fcb0481ba806a816380c580cb8152048165
+    81e081b98239823f82db0482c48235831481e183b2815204831280c282c58071823f7fcb
+    0F> DC
+  126 /heartsuit <00847b0180637f7f841782f802823d82750481be8372804a82ed806581c204
+    8075810d811f80c381a080610481f7802082207fe982337f7f09940482577fda827d8018
+    82c6805204834a80bb84058104841681c204843282ed82bb8372823d827502823d7fea04
+    81f880bf809d80d5809481da04808f826b810582e4819982c30481f582b0821a82638230
+    8211099b0482608263828682b082e282c304837682e483ec826b83e781da0483dd80d7827b
+    80b5823d7fea0F> DC
+  127 /spadesuit <00847c0180a07f8083db82fc0282578088048278805982a0803382db802504
+    8352800983c6806183d880d704840381e682868201824582fd09720481f381fd807981e8
+    80a480d70480b68067811f8011819280220481d3802c820080558225808804822680268212
+    7fd381dc7f8004821f7f8a825d7f8a82a07f8004826a7fd382558026825780880F> DC
+  160 /minus <00834101807b810d82c5814702807c810d07824908ba077db708460F> DC
+  161 /dotmath <00823c0180dd810e815e818e0280e381660B6133d602f6500Ba0ce29fe0ab0
+    0F> DC
+  162 /multiply <008341018094801a82b382390280bd801b0381a4810203828b801b0Aa8a8
+    0381cc812a0382b382110A58a80381a481520380bd823a0A585703817c812a03809580430A
+    a8580F> DC
+  163 /asteriskmath <0083e8018140806182a781f30281ee81350B3caa4db222db0B6c9347
+    9c367f0B6f638848a23f0481a0813d81a3815081e8812a0B375a3b6d025d0B64784b5d5c3f
+    0B8f64b46bc87d0Baaa6a1b8e0dd0B7c2d6e3b60020B79638240a53f0Ba080ada3a7be04
+    820e80d781fb80d281fa81200Bc355b24fdd250B956cb963ca800B909c79b95fc1048249
+    8117824381058200812a0Bcba7c393fea40B9c87b4a2a4c00B709c4c9637830B565a614921
+    240B83d192c59ffd0B879d7ec05bc10B6080545e59420481da817c81ec818481ee8135
+    0F> DC
+  164 /divide <00834101807b803a82c5821902816a81f40B6238cf0bee530B9dc82ff612ad
+    02807c810d07824908ba077db7084602816a808c0B6239cf0cee540B9dc72ef412ac
+    0F> DC
+  165 /diamondop <0081f4018006801081ed81f602800781030380fa80100381ed81030380fa81f6
+    038007810302803e81030380fa81bf0381b681040380f8804803803e81030F> DC
+  166 /plusminus <00834101807b800082c582830281be817b0681080946067ef8077ef80847
+    078108067ef8077ef8084607824908ba077ef906810807810708b9077ef90F> DC
+  167 /minusplus <00834101807b800082c582830281be810807810708ba077ef906810707810708
+    ba077db70846078108067ef9077ef80846078108067ef809ba0681080F> DC
+  168 /circleplus <0083e80180727fa9837682ac0283468142077ec50681380482ac8274833f81e3
+    834681420281dc8142077ec60480b281e98133826d81dc827a067ec80280a2811307813a06
+    7ec80481347fe680b2806d80a2811302820b811307813b04833d80c3831e807882e5803e04
+    82ab8005825e7fdb820b7fdb0681380281f482ac04812282ac807381fc8073812a048072
+    805681207faa81f47faa0482c97faa837680568376812a04837681fd82c782ac81f482ac
+    0F> DC
+  169 /circleminus <0083e80180727fa9837582ac028344811304832a7f8c80de7f5980a4811307
+    82a00280a581420480cf82ed832782d883448142077d61028376812a04837581fe82c782ab
+    81f482ac04812082ac807381fe8072812a0480728056811f7faa81f47fa90482c87fa98376
+    80568376812a0F> DC
+  170 /circlemultiply <0083e80180727faa837582ab028305823b04827082d1817982d080e4823b04
+    804f81a7804f80ae80e4801a04817a7f85826e7f868305801a04839b80b0839a81a58305
+    823b0281f4810a0382d2802c0482937ffc824a7fdb81f87fdb0481a77fdb81517ff38116
+    802d0381f4810a0280f582090381d3812b0380f6804e04808280cb808d818980f5820902
+    81f4814c038115822a04819582948252829682d182290381f4814c0282f3804c038214812b
+    0382f2820804835f8192836180c382f3804c0F> DC
+  171 /circledivide <0083e80180727fa9837582ab0280e480190481797f85826f7f868305801904
+    839980ae839981a68305823a04826f82d1817a82d180e4823a04804f81a6804f80ae80e4
+    80190280f7804d047ff58176816d833582d182270380f7804d0282f28207048363817b8366
+    80be82e2803b0482657fbf819b7fb98117802c0382f282070F> DC
+  172 /circledot <0083e80180727fa9837682ac0280a3812a0480a281e2813c827c81f4827c04
+    82ac827b834581e28345812a048345807382ac7fda81f47fda04813b7fda80a3807180a3
+    812a0281b3812a0481b380d6823480d58234812a048234817e81b3817e81b3812a0281f4
+    82ac04812282ac807381fc8073812a048072805681207faa81f47fa90482c77fa983768057
+    8376812a04837681fc82c782ac81f482ac0F> DC
+  173 /overlaycircle <0083e8017fff7f1483e782fb028031810804803081fe80fc82ca81f282ca04
+    82e982ca83b581ff83b581080483b5801282e97f4681f27f460480fd7f46803180128031
+    81080281f382fc0480e182fb8000821a800081070480007ff580e07f1581f37f15048306
+    7f1583e77ff583e781070483e7821a830682fc81f382fc0F> DC
+  174 /circleop <0081f4018036804081bb81c5028070818c0480258141802580c48070807904
+    80ba802f8137802e818280790481cd80c581ce81428182818d04813781d880ba81d78070
+    818c02808b81700480c681ac812a81ac816681710481a2813581a180d28166809604812a
+    805980c7805a808c809604804f80d180508135808b81700F> DC
+  175 /bullet <0081f4018036804081bb81c5028070818c0480258141802580c48070807904
+    80ba802f8137802e818280790481cd80c581ce81428182818d04813781d880ba81d78070
+    818c0F> DC
+  176 /hardyequiv <0083e80180ce8075831881df0280e781df0A685104817f812c8269812d8319
+    81b00A68af04826881668180816580e781df0280e7807504818180ef826780ee830180750A
+    98af04826881278180812880cf80a40A98510F> DC
+  177 /equivalence <0083e80180cf8069831881ea0280cf806a07824a08b9077db6084702
+    80cf810d07824a08ba077db608460280cf81b107824a08ba077db608460F> DC
+  178 /reflexsubset <0083e80180aa7f85833d828a02833e801e08ba077e9b04813a8058
+    80e480b580e481540480e481a080fb81ea8134821f0481608247819f825081d98251078165
+    08b9077e9b04811b828a80aa821280aa81540480aa8097811b801e81d9801e0781650280b2
+    7f8607828c08b9077d7408470F> DC
+  179 /reflexsuperset <0083e80180b37f858347828a0280b3801e0781650482d6801e8347
+    809783478154048347821182d6828a8218828a077e9b08470781650482b88250830d81f4
+    830d815404830d80b582b8805882188058077e9b084602833f7f8608b9077d74084707828c
+    0F> DC
+  180 /lessequal <0083e80180cf80178318823c0280d18146038319808f08ba038126816603
+    8319820208ba0380d181840842028319801808ba077db6084607824a0F> DC
+  181 /greaterequal <0083e80180cf80178318823c0280cf801807824a08ba077db6084602
+    8317814608be0380cf823c08460382c281660380cf80c9084603831781460F> DC
+  182 /precedesequal <0083e80180cf80008318826e028319800008ba077db6084607824a0280d08181
+    0849048144814981bc8141822b811d04829680fa82c480c482e4805d0Ab28e04830080b0
+    82e580f182a6811a048254815181f1815e819081660481f1816e8254817b82a681b20482e4
+    81dc8301821c831682610A4e8e0482c58209829481d0822c81ae0481bd818a8145818280d0
+    81810F> DC
+  183 /followsequal <0083e80180cf80008318826e02831881810482a38182822b818a81bc81ae04
+    815481d0812382098104826f0A4e720480e7821c810481dd814281b2048194817b81f7816e
+    825881660481f7815e819481518142811a04810380f180e780b080d2806b0Ab272048124
+    80c4815280fa81bd811d04822c814182a481498318814a08b70280cf800007824a08ba07
+    7db608460F> DC
+  184 /similar <0083e80180aa80e3833d81720280aa80e404811a81308160814681e5
+    811a04827f80e782b080d8833e813308bf0482ab810b828b812081e7815304816b817b8116
+    816680aa812208420F> DC
+  185 /approxequal <0083e80180aa8093833d81c00280aa809404811a80e0816080f681e5
+    80ca04827f809782b08088833e80e308bf0482a980ba828b80d081e7810304816b812b8116
+    811680aa80d208420280aa813204811a817f8160819581e5816904827f813682b08126833e
+    818208bf0482aa815a828b816e81e781a104816b81ca811681b480aa817108410F> DC
+  186 /propersubset <0083e80180aa8007833d827402833e800808ba077e9b04813a8042
+    80e4809f80e4813e0480e4818a80fb81d4813482090481608231819f823a81d9823b078165
+    08b9077e9b04811b827480aa81fc80aa813e0480aa8081811b800881d98008078165
+    0F> DC
+  187 /propersuperset <0083e80180aa8007833d82740280aa82740847078165048249823a
+    8288823182b482090482ed81d48304818a8304813e048304809f82ae8042820f8042077e9b
+    08460781650482cd8008833d8081833e813e04833d81fc82cc8274820f8274077e9b
+    0F> DC
+  188 /muchless <0083e80180377fb783b082590280378122084d0382627fb708bc038085810803
+    8262821e08bc03803781220281868122084d0383b17fb708bc0381d381080383b1821e08bc
+    03818681220F> DC
+  189 /muchgreater <0083e80180377fb783b082590283b18122038186825a08440383638108038186
+    7ff308440383b180ef08b30282628122038037825a084403821581080380377ff3084403
+    826280ef08b30F> DC
+  190 /precedes <0083e80180cf8022831582340280d081470849048144810f81bc8107822b80e3
+    04829680c082c4808a82e480220Ab28f048300807682e580b782a680e0048254811781f1
+    81248190812c0481f181348254814082a681780482e481a2830181e1831682260A4e8e04
+    82c581cf82948196822c81740481bd81508145814780d081470F> DC
+  191 /follows <0083e80180cf80228315823402831681470482a181478229815081b9817404
+    81518196812181cf810282340A4e720480e581e1810281a2813f8178048192814081f58134
+    8255812c0481f5812481928117813f80e004810180b780e5807680d080310Ab271048122
+    808a815080c081ba80e304822a810782a1810f8316811008b70F> DC
+
+  /FontBBox {-213 -898 1047 796} def
+  end
+
+/Dutch801-Roman-DECmath_Symbol bsd definefont pop
+
+%%EndFont
+
+DEC_WRITE_dict begin
+loads
+version cvi 23.0 gt {
+currentdict {dup type /arraytype eq
+{bind def} {pop pop} ifelse} forall} if
+0.0100 0.0100 s
+
+%%EndSetup
+%%Page: 1 1
+/$P a D
+g N
+0 79200 T
+S
+R
+S
+6313 -23156 T
+N
+0 G
+300 -1050 M
+/Times-Italic-ISOLatin1 $
+/Times-Italic & P
+/Times-Italic-ISOLatin1 F 1000 o f
+2.3 0 32 (This paper is a revised version of an article by the same) W
+300 -2150 M
+27.2 0 32 (title and author which appeared in the April 1991 issue) W
+300 -3250 M
+(of ) h
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+(Communications of the ACM.) h
+300 -4500 M
+300 -6400 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1200 o f
+(Abstract) h
+300 -8150 M
+/Times-Roman-ISOLatin1 F 1000 o f
+135.1 0 32 (For the past few years, a joint ISO/CCITT committee) W
+300 -9250 M
+258.8 0 32 (known as JPEG \(Joint Photographic Experts Group\)) W
+300 -10350 M
+281.4 0 32 (has been working to establish the first international) W
+300 -11450 M
+110.6 0 32 (compression standard for continuous\255tone still images,) W
+300 -12550 M
+190.4 0 32 (both grayscale and color.  JPEG's proposed standard) W
+300 -13650 M
+401.1 0 32 (aims to be generic, to support a wide variety of) W
+300 -14750 M
+189.5 0 32 (applications for continuous\255tone images. To meet the) W
+300 -15850 M
+587.7 0 32 (differing needs of many applications, the JPEG) W
+300 -16950 M
+23.0 0 32 (standard includes two basic compression methods, each) W
+300 -18050 M
+23.6 0 32 (with various modes of operation. A DCT\255based method) W
+300 -19150 M
+127.0 0 32 (is specified for ) W
+127.0 0 32 (\026) W
+127.0 0 32 (lossy'' compression, and a predictive) W
+300 -20250 M
+166.6 0 32 (method for ) W
+166.6 0 32 (\026) W
+166.6 0 32 (lossless'' compression.  JPEG features a) W
+300 -21350 M
+86.9 0 32 (simple lossy technique known as the Baseline method,) W
+300 -22450 M
+163.1 0 32 (a subset of the other DCT\255based modes of operation.) W
+300 -23550 M
+107.9 0 32 (The Baseline method has been by far the most widely) W
+300 -24650 M
+72.5 0 32 (implemented JPEG method to date, and is sufficient in) W
+300 -25750 M
+141.8 0 32 (its own right for a large number of applications. This) W
+300 -26850 M
+52.1 0 32 (article provides an overview of the JPEG standard, and) W
+300 -27950 M
+(focuses in detail on the Baseline method.) h
+300 -29050 M
+300 -30150 M
+300 -31400 M
+/Times-Bold-ISOLatin1 F 1200 o f
+(1  Introduction) h
+300 -33150 M
+/Times-Roman-ISOLatin1 F 1000 o f
+298.8 0 32 (Advances over the past decade in many aspects of) W
+300 -34250 M
+499.8 0 32 (digital technology \255 especially devices for image) W
+300 -35350 M
+203.3 0 32 (acquisition, data storage, and bitmapped printing and) W
+300 -36450 M
+337.0 0 32 (display \255 have brought about many applications of) W
+300 -37550 M
+13.6 0 32 (digital imaging.  However, these applications tend to be) W
+300 -38650 M
+117.1 0 32 (specialized due to their relatively high cost.  With the) W
+300 -39750 M
+126.7 0 32 (possible exception of facsimile, digital images are not) W
+300 -40850 M
+291.3 0 32 (commonplace in general\255purpose computing systems) W
+300 -41950 M
+30.6 0 32 (the way text and geometric graphics are.   The majority) W
+300 -43050 M
+3.9 0 32 (of modern business and consumer usage of photographs) W
+300 -44150 M
+229.1 0 32 (and other types of images takes place through more) W
+300 -45250 M
+(traditional analog means.) h
+300 -46350 M
+300 -47450 M
+-6313 23156 T
+R
+
+S
+31919 -23173 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+305.4 0 32 (The key obstacle for many applications is the vast) W
+300 -2150 M
+215.3 0 32 (amount of data required to represent a digital image) W
+300 -3250 M
+107.9 0 32 (directly.  A digitized version of a single, color picture) W
+300 -4350 M
+144.8 0 32 (at TV resolution contains on the order of one million) W
+300 -5450 M
+55.0 0 32 (bytes; 35mm resolution requires ten times that amount. ) W
+300 -6550 M
+171.9 0 32 (Use of digital images often is not viable due to high) W
+300 -7650 M
+31.7 0 32 (storage or transmission costs, even when image capture) W
+300 -8750 M
+(and display devices are quite affordable.) h
+300 -9850 M
+300 -10950 M
+661.0 0 32 (Modern image compression technology offers a) W
+300 -12050 M
+533.0 0 32 (possible solution.  State\255of\255the\255art techniques can) W
+300 -13150 M
+463.9 0 32 (compress typical images from 1/10 to 1/50 their) W
+300 -14250 M
+427.4 0 32 (uncompressed size without visibly affecting image) W
+300 -15350 M
+372.4 0 32 (quality.  But compression technology alone is not) W
+300 -16450 M
+309.5 0 32 (sufficient.  For digital image applications involving) W
+300 -17550 M
+490.5 0 32 (storage or transmission to become widespread in) W
+300 -18650 M
+355.6 0 32 (today's marketplace, a standard image compression) W
+300 -19750 M
+675.7 0 32 (method is needed to enable interoperability of) W
+300 -20850 M
+152.8 0 32 (equipment from different manufacturers.  The CCITT) W
+300 -21950 M
+259.0 0 32 (recommendation for today's ubiquitous Group 3 fax) W
+300 -23050 M
+40.2 0 32 (machines [17] is a dramatic example of how a standard) W
+300 -24150 M
+268.3 0 32 (compression method can enable an important image) W
+300 -25250 M
+45.0 0 32 (application.  The Group 3 method, however, deals with) W
+300 -26350 M
+75.1 0 32 (bilevel images only and does not address photographic) W
+300 -27450 M
+(image compression.) h
+300 -28550 M
+300 -29650 M
+107.8 0 32 (For the past few years, a standardization effort known) W
+300 -30750 M
+134.6 0 32 (by the acronym JPEG, for Joint Photographic Experts) W
+300 -31850 M
+134.7 0 32 (Group, has been working toward establishing the first) W
+300 -32950 M
+305.2 0 32 (international digital image compression standard for) W
+300 -34050 M
+978.0 0 32 (continuous\255tone \(multilevel\) still images, both) W
+300 -35150 M
+158.4 0 32 (grayscale and color.  The ) W
+158.4 0 32 (\026) W
+158.4 0 32 (joint) W
+158.4 0 32 (\027) W
+158.4 0 32 ( in JPEG refers to a) W
+300 -36250 M
+643.2 0 32 (collaboration between CCITT and ISO.  JPEG) W
+300 -37350 M
+231.3 0 32 (convenes officially as the ISO committee designated) W
+300 -38450 M
+588.2 0 32 (JTC1/SC2/WG10, but operates in close informal) W
+300 -39550 M
+86.4 0 32 (collaboration with CCITT SGVIII.  JPEG will be both) W
+300 -40650 M
+86.6 0 32 (an ISO Standard and a CCITT Recommendation.  The) W
+300 -41750 M
+(text of both will be identical.) h
+300 -42850 M
+300 -43950 M
+166.0 0 32 (Photovideotex, desktop publishing, graphic arts, color) W
+300 -45050 M
+180.3 0 32 (facsimile, newspaper wirephoto transmission, medical) W
+300 -46150 M
+610.6 0 32 (imaging, and many other continuous\255tone image) W
+300 -47250 M
+67.4 0 32 (applications require a compression standard in order to) W
+-31919 23173 T
+R
+
+S
+6519 -10545 T
+N
+0 G
+8366 -1350 M
+/Helvetica-Bold-ISOLatin1 $
+/Helvetica-Bold & P
+/Helvetica-Bold-ISOLatin1 F 1400 o f
+(The JPEG Still Picture Compression Standard) h
+300 -2550 M
+20016 -3650 M
+/Helvetica-ISOLatin1 $
+/Helvetica & P
+/Helvetica-ISOLatin1 F 1000 o f
+(Gregory K. Wallace) h
+19156 -4750 M
+(Multimedia Engineering) h
+17596 -5850 M
+(Digital Equipment Corporation) h
+18866 -6950 M
+(Maynard,  Massachusetts) h
+300 -7888 M
+300 -9373 M
+5659 -10420 M
+/Times-Italic-ISOLatin1 F 1000 o f
+(Submitted in December 1991 for publication in IEEE Transactions on Consumer Electronics) h
+300 -11358 M
+300 -12628 M
+-6519 10545 T
+R
+
+S
+30679 -75546 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(1) h
+R
+
+showpage
+$P e
+
+%%Page: 2 2
+/$P a D
+g N
+0 79200 T
+S
+R
+S
+6337 -7200 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+71.1 0 32 (develop significantly beyond their present state.  JPEG) W
+300 -2150 M
+345.0 0 32 (has undertaken the ambitious task of developing a) W
+300 -3250 M
+472.2 0 32 (general\255purpose compression standard to meet the) W
+300 -4350 M
+738.2 0 32 (needs of almost all continuous\255tone still\255image) W
+300 -5450 M
+(applications.) h
+300 -6550 M
+300 -7650 M
+141.9 0 32 (If this goal proves attainable, not only will individual) W
+300 -8750 M
+254.5 0 32 (applications flourish, but exchange of images across) W
+300 -9850 M
+182.3 0 32 (application boundaries will be facilitated.  This latter) W
+300 -10950 M
+305.5 0 32 (feature will become increasingly important as more) W
+300 -12050 M
+5.6 0 32 (image applications are implemented on general\255purpose) W
+300 -13150 M
+288.4 0 32 (computing systems, which are themselves becoming) W
+300 -14250 M
+377.8 0 32 (increasingly interoperable and internetworked.  For) W
+300 -15350 M
+240.7 0 32 (applications which require specialized VLSI to meet) W
+300 -16450 M
+1208.0 0 32 (their compression and decompression speed) W
+300 -17550 M
+832.8 0 32 (requirements, a common method will provide) W
+300 -18650 M
+519.4 0 32 (economies of scale not possible within a single) W
+300 -19750 M
+(application. ) h
+300 -20850 M
+300 -21950 M
+305.4 0 32 (This article gives an overview of JPEG's proposed) W
+300 -23050 M
+299.8 0 32 (image\255compression standard.  Readers without prior) W
+300 -24150 M
+400.6 0 32 (knowledge of JPEG or compression based on the) W
+300 -25250 M
+222.5 0 32 (Discrete Cosine Transform \(DCT\) are encouraged to) W
+300 -26350 M
+368.7 0 32 (study first the detailed description of the Baseline) W
+300 -27450 M
+333.2 0 32 (sequential codec, which is the basis for all of the) W
+300 -28550 M
+31.7 0 32 (DCT\255based decoders.  While this article provides many) W
+300 -29650 M
+34.9 0 32 (details, many more are necessarily omitted.  The reader) W
+300 -30750 M
+409.9 0 32 (should refer to the ISO draft standard [2] before) W
+300 -31850 M
+(attempting implementation.) h
+300 -32950 M
+300 -34050 M
+270.4 0 32 (Some of the earliest industry attention to the JPEG) W
+300 -35150 M
+170.6 0 32 (proposal has been focused on the Baseline sequential) W
+300 -36250 M
+95.6 0 32 (codec as a motion image compression method \255 of the) W
+300 -37350 M
+108.3 0 32 (``intraframe'' class, where each frame is encoded as a) W
+300 -38450 M
+208.1 0 32 (separate image.  This class of motion image coding,) W
+300 -39550 M
+261.0 0 32 (while providing less compression than ``interframe'') W
+300 -40650 M
+190.1 0 32 (methods like MPEG, has greater flexibility for video) W
+300 -41750 M
+147.0 0 32 (editing.  While this paper focuses only on JPEG as a) W
+300 -42850 M
+65.6 0 32 (still picture standard \(as ISO intended\), it is interesting) W
+300 -43950 M
+211.0 0 32 (to note that JPEG is likely to become a ``de facto'') W
+300 -45050 M
+(intraframe motion standard as well.) h
+300 -46150 M
+300 -47250 M
+300 -48500 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1200 o f
+195.7 0 32 (2  Background:  Requirements and Selec\255) W
+300 -49800 M
+(tion Process) h
+300 -51550 M
+/Times-Roman-ISOLatin1 F 1000 o f
+492.9 0 32 (JPEG's goal has been to develop a method for) W
+300 -52650 M
+249.6 0 32 (continuous\255tone image compression which meets the) W
+300 -53750 M
+(following requirements:) h
+300 -54850 M
+300 -55950 M
+(1\)) h
+2100 -55950 M
+217.7 0 32 (be at or near the state of the art with regard to) W
+2100 -57050 M
+841.5 0 32 (compression rate and accompanying image) W
+2100 -58150 M
+11.0 0 32 (fidelity, over a wide range of image quality ratings,) W
+2100 -59250 M
+59.6 0 32 (and especially in the range where visual fidelity to) W
+2100 -60350 M
+326.3 0 32 (the original is characterized as ) W
+326.3 0 32 (\026) W
+326.3 0 32 (very good) W
+326.3 0 32 (\027) W
+326.3 0 32 ( to) W
+2100 -61450 M
+951.0 0 32 (\026) W
+951.0 0 32 (excellent) W
+951.0 0 32 (\027) W
+951.0 0 32 (; also, the encoder should be) W
+2100 -62550 M
+214.0 0 32 (parameterizable, so that the application \(or user\)) W
+2100 -63650 M
+(can set the desired compression/quality tradeoff;) h
+-6337 7200 T
+R
+
+S
+31919 -7200 T
+N
+0 G
+2100 -1050 M
+2100 -2150 M
+300 -3250 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(2\)) h
+2100 -3250 M
+838.7 0 32 (be applicable to practically any kind of) W
+2100 -4350 M
+70.0 0 32 (continuous\255tone digital source image \(i.e. for most) W
+2100 -5450 M
+215.0 0 32 (practical purposes not be restricted to images of) W
+2100 -6550 M
+489.8 0 32 (certain dimensions, color spaces, pixel aspect) W
+2100 -7650 M
+0.4 0 32 (ratios, etc.\) and not be limited to classes of imagery) W
+2100 -8750 M
+639.5 0 32 (with restrictions on scene content, such as) W
+2100 -9850 M
+856.2 0 32 (complexity, range of colors, or statistical) W
+2100 -10950 M
+(properties;) h
+2100 -12050 M
+300 -13150 M
+(3\)) h
+2100 -13150 M
+128.6 0 32 (have tractable computational complexity, to make) W
+2100 -14250 M
+549.5 0 32 (feasible software implementations with viable) W
+2100 -15350 M
+348.0 0 32 (performance on a range of CPU's, as well as) W
+2100 -16450 M
+400.8 0 32 (hardware implementations with viable cost for) W
+2100 -17550 M
+(applications requiring high performance;) h
+2100 -18650 M
+300 -19750 M
+(4\)) h
+2100 -19750 M
+( have the following modes of operation:) h
+2100 -20850 M
+2100 -21950 M
+/Symbol F 1000 o f
+(\267) h
+3900 -21950 M
+/Times-Roman-ISOLatin1 F 1000 o f
+7.4 0 32 (Sequential encoding: each image component is) W
+3900 -23050 M
+35.0 0 32 (encoded in a single left\255to\255right, top\255to\255bottom) W
+3900 -24150 M
+(scan;) h
+3900 -25250 M
+2100 -26350 M
+/Symbol F 1000 o f
+(\267) h
+3900 -26350 M
+/Times-Roman-ISOLatin1 F 1000 o f
+47.8 0 32 (Progressive encoding: the image is encoded in) W
+3900 -27450 M
+573.8 0 32 (multiple scans for applications in which) W
+3900 -28550 M
+404.0 0 32 (transmission time is long, and the viewer) W
+3900 -29650 M
+8.0 0 32 (prefers to watch the image build up in multiple) W
+3900 -30750 M
+(coarse\255to\255clear passes;) h
+3900 -31850 M
+2100 -32950 M
+/Symbol F 1000 o f
+(\267) h
+3900 -32950 M
+/Times-Roman-ISOLatin1 F 1000 o f
+260.7 0 32 (Lossless encoding: the image is encoded to) W
+3900 -34050 M
+486.2 0 32 (guarantee exact recovery of every source) W
+3900 -35150 M
+76.7 0 32 (image sample value \(even though the result is) W
+3900 -36250 M
+607.2 0 32 (low compression compared to the lossy) W
+3900 -37350 M
+(modes\);) h
+3900 -38450 M
+2100 -39550 M
+/Symbol F 1000 o f
+(\267) h
+3900 -39550 M
+/Times-Roman-ISOLatin1 F 1000 o f
+11.2 0 32 (Hierarchical encoding: the image is encoded at) W
+3900 -40650 M
+279.5 0 32 (multiple resolutions so that lower\255resolution) W
+3900 -41750 M
+75.7 0 32 (versions may be accessed without first having) W
+3900 -42850 M
+(to decompress the image at its full resolution.) h
+300 -43950 M
+300 -45050 M
+341.1 0 32 (In June 1987, JPEG conducted a selection process) W
+300 -46150 M
+400.6 0 32 (based on a blind assessment of subjective picture) W
+300 -47250 M
+194.3 0 32 (quality, and narrowed 12 proposed methods to three. ) W
+300 -48350 M
+87.3 0 32 (Three informal working groups formed to refine them,) W
+300 -49450 M
+55.5 0 32 (and in January 1988, a second, more rigorous selection) W
+300 -50550 M
+135.1 0 32 (process [19] revealed that the ) W
+135.1 0 32 (\026) W
+135.1 0 32 (ADCT) W
+135.1 0 32 (\027) W
+135.1 0 32 ( proposal [11],) W
+300 -51650 M
+129.6 0 32 (based on the 8x8 DCT, had produced the best picture) W
+300 -52750 M
+(quality.) h
+300 -53850 M
+300 -54950 M
+24.4 0 32 (At the time of its selection, the DCT\255based method was) W
+300 -56050 M
+444.3 0 32 (only partially defined for some of the modes of) W
+300 -57150 M
+114.6 0 32 (operation.  From 1988 through 1990, JPEG undertook) W
+300 -58250 M
+161.5 0 32 (the sizable task of defining, documenting, simulating,) W
+300 -59350 M
+59.1 0 32 (testing, validating, and simply agreeing on the plethora) W
+300 -60450 M
+277.8 0 32 (of details necessary for genuine interoperability and) W
+300 -61550 M
+315.6 0 32 (universality.  Further history of the JPEG effort is) W
+300 -62650 M
+(contained in [6, 7, 9, 18].) h
+300 -63750 M
+-31919 7200 T
+R
+
+S
+30717 -74731 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(2) h
+R
+
+showpage
+$P e
+
+%%Page: 3 3
+/$P a D
+g N
+0 79200 T
+S
+R
+S
+6337 -7200 T
+N
+0 G
+300 -1200 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1200 o f
+(3  Architecture of the Proposed Standard) h
+300 -2950 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+281.7 0 32 (The proposed standard contains the four ) W
+281.7 0 32 (\026) W
+281.7 0 32 (modes of) W
+300 -4050 M
+146.7 0 32 (operation) W
+146.7 0 32 (\027) W
+146.7 0 32 ( identified previously.  For each mode, one) W
+300 -5150 M
+67.9 0 32 (or more distinct codecs are specified.  Codecs within a) W
+300 -6250 M
+62.6 0 32 (mode differ according to the precision of source image) W
+300 -7350 M
+76.3 0 32 (samples they can handle or the entropy coding method) W
+300 -8450 M
+103.4 0 32 (they use.  Although the word codec \(encoder/decoder\)) W
+300 -9550 M
+12.2 0 32 (is used frequently in this article, there is no requirement) W
+300 -10650 M
+43.3 0 32 (that implementations must include both an encoder and) W
+300 -11750 M
+246.4 0 32 (a decoder.  Many applications will have systems or) W
+300 -12850 M
+(devices which require only one or the other.) h
+300 -13950 M
+300 -15050 M
+132.0 0 32 (The four modes of operation and their various codecs) W
+300 -16150 M
+159.8 0 32 (have resulted from JPEG's goal of being generic and) W
+300 -17250 M
+15.7 0 32 (from the diversity of image formats across applications. ) W
+300 -18350 M
+535.4 0 32 (The multiple pieces can give the impression of) W
+300 -19450 M
+300.5 0 32 (undesirable complexity, but they should actually be) W
+300 -20550 M
+0.3 0 32 (regarded as a comprehensive ) W
+0.3 0 32 (\026) W
+0.3 0 32 (toolkit) W
+0.3 0 32 (\027) W
+0.3 0 32 ( which can span a) W
+300 -21650 M
+24.1 0 32 (wide range of continuous\255tone image applications.  It is) W
+300 -22750 M
+166.0 0 32 (unlikely that many implementations will utilize every) W
+300 -23850 M
+114.3 0 32 (tool \255\255 indeed, most of the early implementations now) W
+300 -24950 M
+187.8 0 32 (on the market \(even before final ISO approval\) have) W
+300 -26050 M
+(implemented only the Baseline sequential codec.) h
+300 -27150 M
+300 -28250 M
+111.1 0 32 (The Baseline sequential codec is inherently a rich and) W
+300 -29350 M
+593.8 0 32 (sophisticated compression method which will be) W
+300 -30450 M
+15.3 0 32 (sufficient for many applications.  Getting this minimum) W
+300 -31550 M
+1291.0 0 32 (JPEG capability implemented properly and) W
+300 -32650 M
+629.2 0 32 (interoperably will provide the industry with an) W
+300 -33750 M
+360.8 0 32 (important initial capability for exchange of images) W
+300 -34850 M
+(across vendors and applications.) h
+300 -35950 M
+300 -37050 M
+300 -38300 M
+/Times-Bold-ISOLatin1 F 1200 o f
+(4  Processing Steps for DCT\255Based Coding) h
+300 -40050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+138.7 0 32 (Figures 1 and 2 show the key processing steps which) W
+300 -41150 M
+232.8 0 32 (are the heart of the DCT\255based modes of operation. ) W
+300 -42250 M
+953.7 0 32 (These figures illustrate the special case of) W
+300 -43350 M
+55.6 0 32 (single\255component \(grayscale\) image compression.  The) W
+300 -44450 M
+731.7 0 32 (reader can grasp the essentials of DCT\255based) W
+300 -45550 M
+851.2 0 32 (compression by thinking of it as essentially) W
+300 -46650 M
+236.1 0 32 (compression of a stream of 8x8 blocks of grayscale) W
+300 -47750 M
+86.6 0 32 (image samples.  Color image compression can then be) W
+300 -48850 M
+372.0 0 32 (approximately regarded as compression of multiple) W
+300 -49950 M
+60.5 0 32 (grayscale images, which are either compressed entirely) W
+300 -51050 M
+475.8 0 32 (one at a time, or are compressed by alternately) W
+300 -52150 M
+(interleaving 8x8 sample blocks from each in turn.) h
+300 -53250 M
+300 -54350 M
+226.7 0 32 (For DCT sequential\255mode codecs, which include the) W
+300 -55450 M
+433.0 0 32 (Baseline sequential codec, the simplified diagrams) W
+300 -56550 M
+(indicate how single\255component compression works in a ) h
+300 -57650 M
+132.6 0 32 (fairly complete way.  Each 8x8 block is input, makes) W
+300 -58750 M
+44.9 0 32 (its way through each processing step, and yields output) W
+300 -59850 M
+222.0 0 32 (in compressed form into the data stream.  For DCT) W
+300 -60950 M
+125.2 0 32 (progressive\255mode codecs, an image buffer exists prior) W
+300 -62050 M
+219.3 0 32 (to the entropy coding step, so that an image can be) W
+300 -63150 M
+21.4 0 32 (stored and then parceled out in multiple scans with suc\255) W
+300 -64250 M
+39.4 0 32 (cessively improving quality.  For the hierarchical mode) W
+-6337 7200 T
+R
+
+S
+31919 -7200 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+315.8 0 32 (of operation, the steps shown are used as building) W
+300 -2150 M
+(blocks within a larger framework.) h
+300 -3250 M
+300 -4950 M
+/Times-Bold-ISOLatin1 F 1000 o f
+(4.1  8x8 FDCT and IDCT) h
+300 -6650 M
+/Times-Roman-ISOLatin1 F 1000 o f
+111.1 0 32 (At the input to the encoder, source image samples are) W
+300 -7750 M
+7.6 0 32 (grouped into 8x8 blocks, shifted from unsigned integers) W
+300 -8850 M
+219.3 0 32 (with range [0, 2) W
+n 0.800 o f
+0.0 448.0 m
+219.3 0 32 (P) W
+0 -448.0 m
+n 1.250 o f
+219.3 0 32 ( \255 1] to signed integers with range) W
+300 -9950 M
+65.8 0 32 ([\2552) W
+n 0.800 o f
+0.0 448.0 m
+65.8 0 32 (P\2551) W
+0 -448.0 m
+n 1.250 o f
+65.8 0 32 (, 2) W
+n 0.800 o f
+0.0 448.0 m
+65.8 0 32 (P\2551) W
+0 -448.0 m
+n 1.250 o f
+65.8 0 32 (\2551], and input to the Forward DCT \(FDCT\). ) W
+300 -11050 M
+364.5 0 32 (At the output from the decoder, the Inverse DCT) W
+300 -12150 M
+551.1 0 32 (\(IDCT\) outputs 8x8 sample blocks to form the) W
+300 -13250 M
+127.0 0 32 (reconstructed image.  The following equations are the) W
+300 -14350 M
+258.8 0 32 (idealized mathematical definitions of the 8x8 FDCT) W
+300 -15450 M
+(and 8x8 IDCT:) h
+300 -24986 M
+300 -39590 M
+300 -40690 M
+/Times-Roman-ISOLatin1 F 1000 o f
+125.0 0 32 (The DCT is related to the Discrete Fourier Transform) W
+300 -41790 M
+670.7 0 32 (\(DFT\).  Some simple intuition for DCT\255based) W
+300 -42890 M
+9.1 0 32 (compression can be obtained by viewing the FDCT as a) W
+300 -43990 M
+496.1 0 32 (harmonic analyzer and the IDCT as a harmonic) W
+300 -45090 M
+107.6 0 32 (synthesizer.  Each 8x8 block of source image samples) W
+300 -46190 M
+326.3 0 32 (is effectively a 64\255point discrete signal which is a) W
+300 -47290 M
+174.8 0 32 (function of the two spatial dimensions ) W
+/Times-Italic-ISOLatin1 $
+/Times-Italic & P
+/Times-Italic-ISOLatin1 F 1000 o f
+174.8 0 32 (x ) W
+/Times-Roman-ISOLatin1 F 1000 o f
+174.8 0 32 (and ) W
+/Times-Italic-ISOLatin1 F 1000 o f
+174.8 0 32 (y) W
+/Times-Roman-ISOLatin1 F 1000 o f
+174.8 0 32 (.  The) W
+300 -48390 M
+83.0 0 32 (FDCT takes such a signal as its input and decomposes) W
+300 -49490 M
+104.6 0 32 (it into 64 orthogonal basis signals.  Each contains one) W
+300 -50590 M
+583.0 0 32 (of the 64 unique two\255dimensional \(2D\) ) W
+583.0 0 32 (\026) W
+583.0 0 32 (spatial) W
+300 -51690 M
+683.2 0 32 (frequencies'' which comprise the input signal's) W
+300 -52790 M
+146.3 0 32 (\026) W
+146.3 0 32 (spectrum.) W
+146.3 0 32 (\027) W
+146.3 0 32 (  The ouput of the FDCT is the set of 64) W
+300 -53890 M
+227.6 0 32 (basis\255signal amplitudes or ) W
+227.6 0 32 (\026) W
+227.6 0 32 (DCT coefficients) W
+227.6 0 32 (\027) W
+227.6 0 32 ( whose) W
+300 -54990 M
+518.5 0 32 (values are uniquely determined by the particular) W
+300 -56090 M
+(64\255point input signal.) h
+300 -57190 M
+300 -58290 M
+28.0 0 32 (The DCT coefficient values can thus be regarded as the) W
+300 -59390 M
+43.7 0 32 (relative amount of the 2D spatial frequencies contained) W
+300 -60490 M
+86.2 0 32 (in the 64\255point input signal.  The coefficient with zero) W
+300 -61590 M
+495.7 0 32 (frequency in both dimensions is called the ) W
+495.7 0 32 (\026) W
+495.7 0 32 (DC) W
+300 -62690 M
+435.5 0 32 (coefficient) W
+435.5 0 32 (\027) W
+435.5 0 32 ( and the remaining 63 coefficients are) W
+300 -63790 M
+135.1 0 32 (called the ) W
+135.1 0 32 (\026) W
+135.1 0 32 (AC coefficients.''  Because sample values) W
+-31919 7200 T
+S
+N
+S
+32078 -31436 22722 8436 @ I N
+32078 -23000 T
+N
+S
+10569 -3390 M
+/Courier-ISOLatin1 $
+/Courier & P
+/Courier-ISOLatin1 F 2400 o f
+([) h
+R
+
+
+N
+S
+201 -5530 20216 5128 @ I N
+201 -402 T
+N
+N
+S
+0 -5128 20217 5128 @ I N
+0 0 T
+N
+S
+800 -2733 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(F) h
+R
+
+S
+1533 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+1933 -2734 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(u) h
+R
+
+S
+2533 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(,) h
+R
+
+S
+3011 -2733 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(v) h
+R
+
+S
+3544 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+4477 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(=) h
+R
+
+S
+5687 -2251 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(1) h
+R
+
+S
+N
+5687.00 -2466.00 M
+6187.00 -2466.00 L
+S
+49 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+5687 -3292 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(4) h
+R
+
+S
+6187 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+6487 -2734 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(C) h
+R
+
+S
+7288 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+7687 -2734 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(u) h
+R
+
+S
+8287 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+8687 -2734 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(C) h
+R
+
+S
+9487 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+9887 -2733 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(v) h
+R
+
+S
+10420 -2655 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+11719 -1159 M
+/Dutch801-Roman-DECmath_Extension F 1200 o f
+(X) h
+R
+
+S
+12336 -999 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(7) h
+R
+
+S
+11832 -4208 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(x) h
+R
+
+S
+12276 -4129 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(=0) h
+R
+
+S
+13452 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+13752 -1159 M
+/Dutch801-Roman-DECmath_Extension F 1200 o f
+(X) h
+R
+
+S
+14369 -999 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(7) h
+R
+
+S
+13865 -4208 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(y) h
+R
+
+S
+14309 -4129 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(=0) h
+R
+
+S
+15485 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+15785 -2733 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(f) h
+R
+
+S
+16119 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+16518 -2734 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(x) h
+R
+
+S
+17051 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(,) h
+R
+
+S
+17529 -2733 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(y) h
+R
+
+S
+18062 -2751 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+18817 -2752 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(*) h
+R
+
+R
+
+
+R
+
+
+N
+S
+4395 -8872 13213 3514 @ I N
+4395 -5358 T
+N
+N
+S
+0 -3514 13213 3514 @ I N
+0 0 T
+N
+S
+800 -2152 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(cos) h
+R
+
+S
+2400 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+2700 -1492 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(2) h
+R
+
+S
+3533 -1571 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(x) h
+R
+
+S
+3977 -1492 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(+1\)) h
+R
+
+S
+5374 -1571 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(u\271) h
+R
+
+S
+N
+2700.00 -1885.00 M
+6485.00 -1885.00 L
+S
+49 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+4092 -2716 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(16) h
+R
+
+S
+6485 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+6785 -2152 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(cos) h
+R
+
+S
+8384 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+8684 -1492 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(2) h
+R
+
+S
+9517 -1571 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(y) h
+R
+
+S
+9961 -1492 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(+1\)) h
+R
+
+S
+11358 -1571 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(v\271) h
+R
+
+S
+N
+8684.00 -1885.00 M
+12413.00 -1885.00 L
+S
+49 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+10049 -2716 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(16) h
+R
+
+S
+12215 -2349 M
+/Courier-ISOLatin1 F 2400 o f
+(]) h
+R
+
+R
+
+
+R
+
+
+S
+21404 -7275 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(1\)) h
+R
+
+R
+
+
+R
+S
+N
+S
+31426 -46040 24026 13504 @ I N
+31426 -32536 T
+N
+S
+6588 -3007 M
+/Courier-ISOLatin1 F 2400 o f
+([) h
+R
+
+
+N
+S
+1158 -4898 19824 4926 @ I N
+1158 28 T
+N
+N
+S
+0 -4926 19824 4926 @ I N
+0 0 T
+N
+S
+800 -2732 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(f) h
+R
+
+S
+1134 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+1533 -2733 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(x) h
+R
+
+S
+2066 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(,) h
+R
+
+S
+2544 -2732 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(y) h
+R
+
+S
+3077 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+4010 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(=) h
+R
+
+S
+5221 -2154 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(1) h
+R
+
+S
+N
+5221.00 -2465.00 M
+5721.00 -2465.00 L
+S
+49 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+5221 -3291 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(4) h
+R
+
+S
+6621 -1158 M
+/Dutch801-Roman-DECmath_Extension F 1200 o f
+(X) h
+R
+
+S
+7237 -997 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(7) h
+R
+
+S
+6705 -4207 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(u) h
+R
+
+S
+7205 -4128 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(=0) h
+R
+
+S
+8353 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+8653 -1158 M
+/Dutch801-Roman-DECmath_Extension F 1200 o f
+(X) h
+R
+
+S
+9270 -997 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(7) h
+R
+
+S
+8766 -4207 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(v) h
+R
+
+S
+9210 -4128 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(=0) h
+R
+
+S
+10386 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+10686 -2733 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(C) h
+R
+
+S
+11487 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+11886 -2733 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(u) h
+R
+
+S
+12486 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+12886 -2733 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(C) h
+R
+
+S
+13686 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+14086 -2732 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(v) h
+R
+
+S
+14619 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+15018 -2732 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(F) h
+R
+
+S
+15751 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+16151 -2733 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(u) h
+R
+
+S
+16751 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(,) h
+R
+
+S
+17229 -2732 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(v) h
+R
+
+S
+17762 -2750 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+18504 -2820 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(*) h
+R
+
+R
+
+
+R
+
+
+N
+S
+4344 -8388 13213 3514 @ I N
+4344 -4874 T
+N
+N
+S
+0 -3514 13213 3514 @ I N
+0 0 T
+N
+S
+800 -2152 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(cos) h
+R
+
+S
+2400 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+2700 -1492 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(2) h
+R
+
+S
+3533 -1571 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(x) h
+R
+
+S
+3977 -1492 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(+1\)) h
+R
+
+S
+5374 -1571 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(u\271) h
+R
+
+S
+N
+2700.00 -1885.00 M
+6485.00 -1885.00 L
+S
+49 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+4092 -2716 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(16) h
+R
+
+S
+6485 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+6785 -2152 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(cos) h
+R
+
+S
+8384 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+8684 -1492 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(2) h
+R
+
+S
+9517 -1571 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(y) h
+R
+
+S
+9961 -1492 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(+1\)) h
+R
+
+S
+11358 -1571 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(v\271) h
+R
+
+S
+N
+8684.00 -1885.00 M
+12413.00 -1885.00 L
+S
+49 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+10049 -2716 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(16) h
+R
+
+S
+12358 -2295 M
+/Courier-ISOLatin1 F 2400 o f
+(]) h
+R
+
+R
+
+
+R
+
+
+S
+22310 -7320 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(2\)) h
+R
+
+S
+1028 -10288 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(where:) h
+R
+
+
+S
+15506 -10288 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(for) h
+R
+
+S
+13014 -12923 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( otherwise.) h
+R
+
+N
+S
+4116 -11330 18079 2884 @ I N
+4116 -8446 T
+N
+N
+S
+0 -2884 16066 2884 @ I N
+0 0 T
+N
+S
+800 -1799 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(C) h
+R
+
+S
+1600 -1817 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+2000 -1799 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(u) h
+R
+
+S
+2600 -1817 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\),) h
+R
+
+S
+3478 -1817 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+3778 -1799 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(C) h
+R
+
+S
+4578 -1817 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+4978 -1798 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(v) h
+R
+
+S
+5510 -1817 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+6731 -1817 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(=) h
+R
+
+S
+8229 -1817 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(1) h
+R
+
+S
+8706 -1799 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(=) h
+R
+
+S
+N
+10289.00 -829.00 M
+10889.00 -829.00 L
+S
+59 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+10289 -1817 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(2) h
+R
+
+S
+9182 -834 M
+/Dutch801-Roman-DECmath_Symbol F 1200 o f
+(p) h
+R
+
+S
+7243 -1817 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(         ) h
+R
+
+S
+13118 -1703 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(u) h
+R
+
+S
+13624 -1817 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(,) h
+R
+
+R
+
+
+R
+
+
+N
+S
+4383 -13932 8537 2624 @ I N
+4383 -11308 T
+N
+N
+S
+-4122 -2624 13043 2624 @ I N
+-4122 0 T
+N
+S
+4189 -1627 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(  ) h
+R
+
+S
+4789 -1609 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(C) h
+R
+
+S
+5589 -1627 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+5989 -1610 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(u) h
+R
+
+S
+6589 -1627 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\),) h
+R
+
+S
+7466 -1627 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+7766 -1609 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(C) h
+R
+
+S
+8566 -1627 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+8966 -1609 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(v) h
+R
+
+S
+9499 -1627 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+10432 -1627 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(=) h
+R
+
+S
+11643 -1627 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(1) h
+R
+
+R
+
+
+R
+
+
+S
+18113 -10213 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(v) h
+R
+
+S
+18989 -10231 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(=) h
+R
+
+S
+20581 -10423 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(  ) h
+R
+
+S
+20703 -10328 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(;) h
+R
+
+S
+20734 -10327 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(  ) h
+R
+
+S
+19903 -10231 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(0) h
+R
+
+R
+
+
+R
+R
+
+S
+30583 -75259 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(3) h
+R
+
+showpage
+$P e
+
+%%Page: 4 4
+/$P a D
+g N
+0 79200 T
+S
+R
+S
+6325 -37291 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+277.4 0 32 (typically vary slowly from point to point across an) W
+300 -2150 M
+166.3 0 32 (image, the FDCT processing step lays the foundation) W
+300 -3250 M
+129.5 0 32 (for achieving data compression by concentrating most) W
+300 -4350 M
+191.6 0 32 (of the signal in the lower spatial frequencies.  For a) W
+300 -5450 M
+93.6 0 32 (typical 8x8 sample block from a typical source image,) W
+300 -6550 M
+125.4 0 32 (most of the spatial frequencies have zero or near\255zero) W
+300 -7650 M
+(amplitude and need not be encoded.) h
+300 -8750 M
+300 -9850 M
+79.9 0 32 (At the decoder the IDCT reverses this processing step. ) W
+300 -10950 M
+175.8 0 32 (It takes the 64 DCT coefficients \(which at that point) W
+300 -12050 M
+43.7 0 32 (have been quantized\) and reconstructs a 64\255point ouput) W
+300 -13150 M
+855.7 0 32 (image signal by summing the basis signals. ) W
+300 -14250 M
+254.3 0 32 (Mathematically, the DCT is one\255to\255one mapping for) W
+300 -15350 M
+107.3 0 32 (64\255point vectors between the image and the frequency) W
+300 -16450 M
+135.6 0 32 (domains.  If the FDCT and IDCT could be computed) W
+300 -17550 M
+56.0 0 32 (with perfect accuracy and if the DCT coefficients were) W
+300 -18650 M
+412.3 0 32 (not quantized as in the following description, the) W
+300 -19750 M
+59.0 0 32 (original 64\255point signal could be exactly recovered.  In) W
+300 -20850 M
+260.1 0 32 (principle, the DCT introduces no loss to the source) W
+300 -21950 M
+83.0 0 32 (image samples; it merely transforms them to a domain) W
+300 -23050 M
+(in which they can be more efficiently encoded. ) h
+300 -24150 M
+300 -25250 M
+675.7 0 32 (Some properties of practical FDCT and IDCT) W
+300 -26350 M
+462.7 0 32 (implementations raise the issue of what precisely) W
+300 -27450 M
+579.6 0 32 (should be required by the JPEG standard.  A) W
+300 -28550 M
+368.7 0 32 (fundamental property is that the FDCT and IDCT) W
+300 -29650 M
+1721.7 0 32 (equations contain transcendental functions. ) W
+300 -30750 M
+922.8 0 32 (Consequently, no physical implementation can) W
+300 -31850 M
+156.5 0 32 (compute them with perfect accuracy.  Because of the) W
+300 -32950 M
+231.0 0 32 (DCT's application importance and its relationship to) W
+300 -34050 M
+388.6 0 32 (the DFT, many different algorithms by which the) W
+-6325 37291 T
+R
+
+S
+31919 -37291 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+11.7 0 32 (FDCT and IDCT may be approximately computed have) W
+300 -2150 M
+382.1 0 32 (been devised [16].  Indeed, research in fast DCT) W
+300 -3250 M
+439.7 0 32 (algorithms is ongoing and no single algorithm is) W
+300 -4350 M
+204.3 0 32 (optimal for all implementations.  What is optimal in) W
+300 -5450 M
+166.6 0 32 (software for a general\255purpose CPU is unlikely to be) W
+300 -6550 M
+194.3 0 32 (optimal in firmware for a programmable DSP and is) W
+300 -7650 M
+(certain to be suboptimal for dedicated VLSI.) h
+300 -8750 M
+300 -9850 M
+94.1 0 32 (Even in light of the finite precision of the DCT inputs) W
+300 -10950 M
+228.3 0 32 (and outputs, independently designed implementations) W
+300 -12050 M
+3.0 0 32 (of the very same FDCT or IDCT algorithm which differ) W
+300 -13150 M
+62.4 0 32 (even minutely in the precision by which they represent) W
+300 -14250 M
+55.4 0 32 (cosine terms or intermediate results, or in the way they) W
+300 -15350 M
+522.8 0 32 (sum and round fractional values, will eventually) W
+300 -16450 M
+(produce slightly different outputs from identical inputs.) h
+300 -17550 M
+300 -18650 M
+101.8 0 32 (To preserve freedom for innovation and customization) W
+300 -19750 M
+235.5 0 32 (within implementations, JPEG has chosen to specify) W
+300 -20850 M
+215.0 0 32 (neither a unique FDCT algorithm or a unique IDCT) W
+300 -21950 M
+491.6 0 32 (algorithm in its proposed standard.  This makes) W
+300 -23050 M
+610.8 0 32 (compliance somewhat more difficult to confirm,) W
+300 -24150 M
+783.6 0 32 (because two compliant encoders \(or decoders\)) W
+300 -25250 M
+425.5 0 32 (generally will not produce identical outputs given) W
+300 -26350 M
+135.0 0 32 (identical inputs.  The JPEG standard will address this) W
+300 -27450 M
+330.2 0 32 (issue by specifying an accuracy test as part of its) W
+300 -28550 M
+463.0 0 32 (compliance tests for all DCT\255based encoders and) W
+300 -29650 M
+202.4 0 32 (decoders; this is to ensure against crudely inaccurate) W
+300 -30750 M
+351.7 0 32 (cosine basis functions which would degrade image) W
+300 -31850 M
+(quality.) h
+300 -32950 M
+-31919 37291 T
+R
+
+S
+6807 -5369 T
+N
+S
+0 -31926 48224 31926 @
+R
+0 G
+300 -1050 M
+300 -32454 M
+S
+0 -31926 48224 31926 @
+R
+-6807 5369 T
+S
+N
+S
+7334 -36777 47169 30008 @ I N
+7334 -6769 T
+N
+S
+4831 -1639 M
+/Times-Roman-ISOLatin1 F 952 o f
+(   ) h
+n 1.050 o f
+(8x8 blocks) h
+n 0.920 o f
+(                                           ) h
+n 1.087 o f
+(DCT\255Based Encoder) h
+R
+
+
+S
+12324 -4884 M
+/Times-Roman-ISOLatin1 F 953 o f
+(FDCT                 Quantizer) h
+R
+
+S
+26405 -4469 M
+/Times-Roman-ISOLatin1 F 952 o f
+( Entropy) h
+R
+
+S
+26238 -5384 M
+/Times-Roman-ISOLatin1 F 953 o f
+(  Encoder) h
+R
+
+S
+4449 -9800 M
+/Times-Roman-ISOLatin1 F 952 o f
+(     Source                                              Table                          Table                      Compressed) h
+R
+
+S
+5855 -3376 M
+/Symbol F 956 o f
+(\267) h
+R
+
+S
+26371 -10785 M
+/Times-Roman-ISOLatin1 F 952 o f
+(Specifications               Image Data) h
+R
+
+S
+4285 -7317 4498 4499 @
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+5855.00 -2848.00 M
+5855.00 -5679.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+7394.00 -3392.00 M
+4309.00 -3392.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+7394.00 -3854.00 M
+4309.00 -3854.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+7394.00 -4827.00 M
+4309.00 -4827.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6370.00 -2848.00 M
+6370.00 -5679.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+5338.00 -2848.00 M
+5338.00 -5679.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+4824.00 -2848.00 M
+4824.00 -5679.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+18156 -6304 5249 3497 @
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+25572 -6304 5248 3497 @
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+10909 -6304 5249 3497 @
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+16116.00 -4556.00 M
+18078.00 -4556.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+17594.00 -4810.00 M
+18137.00 -4556.00 L
+17594.00 -4303.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+23531.00 -4640.00 M
+25494.00 -4640.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+25010.00 -4894.00 M
+25553.00 -4640.00 L
+25010.00 -4387.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+9866 -7803 22162 5746 @
+S
+300 w
+0 c
+0 j
+0.875 G k
+R
+R
+
+S
+17928 -10786 M
+/Times-Roman-ISOLatin1 F 953 o f
+( Specifications) h
+R
+
+S
+33028 -5389 7722 1583 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+4730 -10756 M
+/Times-Roman-ISOLatin1 F 952 o f
+(Image Data) h
+R
+
+S
+N
+20737.00 -8888.00 M
+20737.00 -6505.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+20991.00 -6990.00 M
+20737.00 -6446.00 L
+20484.00 -6990.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+28486.00 -8960.00 M
+28486.00 -6422.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+28740.00 -6907.00 M
+28486.00 -6363.00 L
+28233.00 -6907.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+8784.00 -4472.00 M
+10749.00 -4472.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+10265.00 -4726.00 M
+10808.00 -4472.00 L
+10265.00 -4219.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+30777.00 -4640.00 M
+32977.00 -4640.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+32493.00 -4894.00 M
+33036.00 -4640.00 L
+32493.00 -4387.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+7394.00 -4368.00 M
+4309.00 -4368.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6145.00 -3100.00 M
+7453.00 -1795.00 L
+S
+0.00 G E
+R
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+25538 -11119 6457 2163 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+17583 -11119 6457 2163 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+19655.00 -19554.00 M
+21722.00 -19554.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+21238.00 -19808.00 M
+21781.00 -19554.00 L
+21238.00 -19301.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+21912 -21471 5099 3358 @
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+14549 -21470 5098 3358 @
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+29357 -21470 5099 3357 @
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+12673 -23102 22880 5954 @
+S
+400 w
+0 c
+0 j
+0.875 G k
+R
+R
+
+S
+15119 -19684 M
+/Times-Roman-ISOLatin1 F 952 o f
+(  Entropy) h
+R
+
+S
+14875 -20720 M
+/Times-Roman-ISOLatin1 F 953 o f
+(   Decoder) h
+R
+
+S
+21926 -20023 M
+/Times-Roman-ISOLatin1 F 952 o f
+( Dequantizer                IDCT) h
+R
+
+S
+20991 -16674 M
+/Times-Roman-ISOLatin1 F 952 o f
+(DCT\255Based Decoder) h
+R
+
+S
+4785 -20333 7049 1519 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+27100.00 -19633.00 M
+29169.00 -19633.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+28685.00 -19887.00 M
+29228.00 -19633.00 L
+28685.00 -19380.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+17599.00 -23877.00 M
+17599.00 -21524.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+17852.00 -22009.00 M
+17598.00 -21465.00 L
+17345.00 -22009.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+
+S
+N
+12008.00 -19628.00 M
+14553.00 -19628.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+14069.00 -19881.00 M
+14612.00 -19627.00 L
+14068.00 -19374.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+14441 -24997 M
+/Times-Roman-ISOLatin1 F 952 o f
+(    Table                             Table) h
+R
+
+S
+13811 -25878 M
+/Times-Roman-ISOLatin1 F 952 o f
+( Specifications               Specifications) h
+R
+
+S
+6162 -24918 M
+/Times-Roman-ISOLatin1 F 953 o f
+(Compressed) h
+R
+
+S
+6322 -25958 M
+/Times-Roman-ISOLatin1 F 953 o f
+(Image Data) h
+R
+
+S
+35576 -25075 M
+/Times-Roman-ISOLatin1 F 952 o f
+(     Reconstructed) h
+R
+
+S
+36284 -25957 M
+/Times-Roman-ISOLatin1 F 952 o f
+(   Image Data) h
+R
+
+S
+36972 -22062 4448 4448 @
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+38525.00 -17644.00 M
+38525.00 -20445.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+40045.00 -18105.00 M
+36996.00 -18105.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+40045.00 -18615.00 M
+36996.00 -18615.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+40045.00 -19554.00 M
+36996.00 -19554.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+39033.00 -17644.00 M
+39033.00 -20445.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+38015.00 -17644.00 M
+38015.00 -20445.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+37506.00 -17644.00 M
+37506.00 -20445.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+40045.00 -19021.00 M
+36996.00 -19021.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+25797.00 -23877.00 M
+25797.00 -21524.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+26050.00 -22009.00 M
+25796.00 -21465.00 L
+25543.00 -22009.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+34472.00 -19706.00 M
+36858.00 -19706.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+36374.00 -19959.00 M
+36917.00 -19705.00 L
+36373.00 -19452.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+13486.00 -19678.00 M
+13486.00 -22359.00 L
+24363.00 -22359.00 L
+24363.00 -23817.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+24110.00 -23333.00 M
+24363.00 -23876.00 L
+24617.00 -23333.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+16007.00 -22358.00 M
+16007.00 -23817.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+15754.00 -23333.00 M
+16007.00 -23876.00 L
+16261.00 -23333.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+22435 -26281 6457 2323 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+13621 -26281 6455 2323 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+13684 -13555 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Figure 1.  DCT\255Based Encoder Processing Steps) h
+R
+
+S
+15889 -28638 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Figure 2.  DCT\255Based Decoder Processing Steps) h
+R
+
+R
+
+
+R
+R
+
+S
+30679 -75354 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(4) h
+R
+
+showpage
+$P e
+
+%%Page: 5 5
+/$P a D
+g N
+0 79200 T
+S
+R
+S
+6312 -7174 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+325.3 0 32 (For each DCT\255based mode of operation, the JPEG) W
+300 -2150 M
+12.0 0 32 (proposal specifies separate codecs for images with 8\255bit) W
+300 -3250 M
+17.4 0 32 (and 12\255bit \(per component\) source image samples.  The) W
+300 -4350 M
+71.6 0 32 (12\255bit codecs, needed to accommodate certain types of) W
+300 -5450 M
+1166.8 0 32 (medical and other images, require greater) W
+300 -6550 M
+83.3 0 32 (computational resources to achieve the required FDCT) W
+300 -7650 M
+595.3 0 32 (or IDCT accuracy.  Images with other sample) W
+300 -8750 M
+162.7 0 32 (precisions can usually be accommodated by either an) W
+300 -9850 M
+58.0 0 32 (8\255bit or 12\255bit codec, but this must be done outside the) W
+300 -10950 M
+534.4 0 32 (JPEG standard.  For example, it would be the) W
+300 -12050 M
+101.6 0 32 (responsibility of an application to decide how to fit or) W
+300 -13150 M
+402.5 0 32 (pad a 6\255bit sample into the 8\255bit encoder's input) W
+300 -14250 M
+46.3 0 32 (interface, how to unpack it at the decoder's output, and) W
+300 -15350 M
+(how to encode any necessary related information.) h
+300 -16450 M
+300 -17550 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1000 o f
+(4.2  Quantization) h
+300 -19250 M
+/Times-Roman-ISOLatin1 F 1000 o f
+296.1 0 32 (After output from the FDCT, each of the 64 DCT) W
+300 -20350 M
+73.7 0 32 (coefficients is uniformly quantized in conjunction with) W
+300 -21450 M
+495.2 0 32 (a 64\255element Quantization Table, which must be) W
+300 -22550 M
+66.6 0 32 (specified by the application \(or user\) as an input to the) W
+300 -23650 M
+19.7 0 32 (encoder.  Each element can be any integer value from 1) W
+300 -24750 M
+13.9 0 32 (to 255, which specifies the step size of the quantizer for) W
+300 -25850 M
+277.7 0 32 (its corresponding DCT coefficient.  The purpose of) W
+300 -26950 M
+453.5 0 32 (quantization is to achieve further compression by) W
+300 -28050 M
+18.7 0 32 (representing DCT coefficients with no greater precision) W
+300 -29150 M
+93.8 0 32 (than is necessary to achieve the desired image quality. ) W
+300 -30250 M
+110.9 0 32 (Stated another way, the goal of this processing step is) W
+300 -31350 M
+39.1 0 32 (to discard information which is not visually significant.) W
+300 -32450 M
+125.0 0 32 (Quantization is a many\255to\255one mapping, and therefore) W
+300 -33550 M
+215.8 0 32 (is fundamentally lossy.  It is the principal source of) W
+300 -34650 M
+(lossiness in DCT\255based encoders.) h
+300 -35750 M
+300 -36850 M
+448.1 0 32 (Quantization is defined as division of each DCT) W
+300 -37950 M
+310.2 0 32 (coefficient by its corresponding quantizer step size,) W
+300 -39050 M
+(followed by rounding to the nearest integer:) h
+300 -40150 M
+-6312 7174 T
+S
+N
+S
+6806 -52373 22051 4699 @ I N
+6806 -47674 T
+N
+N
+S
+1946 -4021 18495 3678 @ I N
+1946 -343 T
+N
+N
+S
+0 -3199 18495 3199 @ I N
+0 0 T
+N
+S
+800 -2152 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(F) h
+R
+
+S
+1533 -1492 M
+/Dutch801-Italic-DECmath_Italic F 800 o f
+(Q) h
+R
+
+S
+2111 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+2510 -2152 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(u) h
+R
+
+S
+3110 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(,) h
+R
+
+S
+3588 -2151 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(v) h
+R
+
+S
+4121 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+4521 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+5354 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(=) h
+R
+
+S
+6565 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+6865 -2152 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(Integer) h
+R
+
+S
+10331 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+10631 -2152 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(Round) h
+R
+
+S
+13764 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+14064 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+14519 -1492 M
+/Times-Roman-ISOLatin1 F 1000 o f
+( ) h
+R
+
+S
+14769 -1571 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(F) h
+R
+
+S
+15380 -1492 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\() h
+R
+
+S
+15713 -1571 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(u) h
+R
+
+S
+16213 -1492 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(,) h
+R
+
+S
+16463 -1571 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(v) h
+R
+
+S
+16907 -1492 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\)) h
+R
+
+S
+14463 -2789 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(Q) h
+R
+
+S
+15185 -2710 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\() h
+R
+
+S
+15518 -2789 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(u) h
+R
+
+S
+16018 -2710 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(,) h
+R
+
+S
+16268 -2789 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(v) h
+R
+
+S
+16712 -2710 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\)) h
+R
+
+S
+N
+14463.00 -1885.00 M
+17295.00 -1885.00 L
+S
+49 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+17045 -2710 M
+/Times-Roman-ISOLatin1 F 1000 o f
+( ) h
+R
+
+S
+17295 -2170 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+R
+
+
+R
+
+
+
+S
+20876 -2965 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(3\)) h
+R
+
+R
+
+
+R
+R
+
+S
+31919 -7170 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+152.5 0 32 (This output value is normalized by the quantizer step) W
+300 -2150 M
+117.9 0 32 (size.  Dequantization is the inverse function, which in) W
+300 -3250 M
+471.7 0 32 (this case means simply that the normalization is) W
+300 -4350 M
+51.8 0 32 (removed by multiplying by the step size, which returns) W
+300 -5450 M
+9.2 0 32 (the result to a representation appropriate for input to the) W
+300 -6550 M
+(IDCT:) h
+300 -11965 M
+/Times-Roman-ISOLatin1 F 1000 o f
+205.4 0 32 (When the aim is to compress the image as much as) W
+300 -13065 M
+71.1 0 32 (possible without visible artifacts, each step size ideally) W
+300 -14165 M
+173.5 0 32 (should be chosen as the perceptual threshold or ) W
+173.5 0 32 (\026) W
+173.5 0 32 (just) W
+300 -15265 M
+91.3 0 32 (noticeable difference) W
+91.3 0 32 (\027) W
+91.3 0 32 ( for the visual contribution of its) W
+300 -16365 M
+97.0 0 32 (corresponding cosine basis function.  These thresholds) W
+300 -17465 M
+151.0 0 32 (are also functions of the source image characteristics,) W
+300 -18565 M
+458.2 0 32 (display characteristics and viewing distance.  For) W
+300 -19665 M
+43.7 0 32 (applications in which these variables can be reasonably) W
+300 -20765 M
+755.4 0 32 (well defined, psychovisual experiments can be) W
+300 -21865 M
+428.4 0 32 (performed to determine the best thresholds.  The) W
+300 -22965 M
+410.4 0 32 (experiment described in [12] has led to a set of) W
+300 -24065 M
+388.7 0 32 (Quantization Tables for CCIR\255601 [4] images and) W
+300 -25165 M
+309.4 0 32 (displays.  These have been used experimentally by) W
+300 -26265 M
+5.5 0 32 (JPEG members and will appear in the ISO standard as a) W
+300 -27365 M
+(matter of information, but not as a requirement.) h
+300 -28465 M
+300 -29565 M
+/Times-Bold-ISOLatin1 F 1000 o f
+(4.3  DC Coding and Zig\255Zag Sequence) h
+300 -31265 M
+/Times-Roman-ISOLatin1 F 1000 o f
+560.2 0 32 (After quantization, the DC coefficient is treated) W
+300 -32365 M
+371.5 0 32 (separately from the 63 AC coefficients.  The DC) W
+300 -33465 M
+83.6 0 32 (coefficient is a measure of the average value of the 64) W
+300 -34565 M
+483.9 0 32 (image samples.  Because there is usually strong) W
+300 -35665 M
+12.1 0 32 (correlation between the DC coefficients of adjacent 8x8) W
+300 -36765 M
+93.8 0 32 (blocks, the quantized DC coefficient is encoded as the) W
+300 -37865 M
+138.9 0 32 (difference from the DC term of the previous block in) W
+300 -38965 M
+24.3 0 32 (the encoding order \(defined in the following\), as shown) W
+300 -40065 M
+157.1 0 32 (in Figure 3.  This special treatment is worthwhile, as) W
+300 -41165 M
+9.3 0 32 (DC coefficients frequently contain a significant fraction) W
+300 -42265 M
+(of the total image energy.) h
+300 -43365 M
+-31919 7170 T
+S
+N
+S
+32270 -18385 22338 4315 @ I N
+32270 -14070 T
+N
+N
+S
+3092 -3422 16296 3021 @ I N
+3092 -401 T
+N
+N
+S
+0 -3021 16296 3021 @ I N
+0 0 T
+N
+S
+800 -1999 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(F) h
+R
+
+S
+1533 -1339 M
+/Dutch801-Italic-DECmath_Italic F 800 o f
+(Q) h
+R
+
+S
+2236 -1250 M
+/Dutch801-Roman-DECmath_Symbol F 695 o f
+(0) h
+R
+
+S
+2333 -2017 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+2733 -1999 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(u) h
+R
+
+S
+3333 -2016 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(,) h
+R
+
+S
+3811 -1998 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(v) h
+R
+
+S
+4344 -2016 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+4743 -2017 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+5577 -2017 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(=) h
+R
+
+S
+6787 -1999 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(F) h
+R
+
+S
+7521 -1339 M
+/Dutch801-Italic-DECmath_Italic F 800 o f
+(Q) h
+R
+
+S
+8098 -2016 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+8498 -1999 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(u) h
+R
+
+S
+9098 -2016 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(,) h
+R
+
+S
+9576 -1998 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(v) h
+R
+
+S
+10108 -2016 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+12219 -1999 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(Q) h
+R
+
+S
+13086 -2016 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\() h
+R
+
+S
+13485 -1999 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(u) h
+R
+
+S
+14085 -2016 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(,) h
+R
+
+S
+14563 -1998 M
+/Dutch801-Italic-DECmath_Italic F 1200 o f
+(v) h
+R
+
+S
+15096 -2016 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(\)) h
+R
+
+S
+11136 -2333 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(*) h
+R
+
+R
+
+
+R
+
+
+
+S
+20916 -2456 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(4\)) h
+R
+
+R
+
+
+R
+R
+
+S
+6328 -51770 T
+N
+S
+0 -19270 48703 19270 @
+R
+0 G
+300 -1050 M
+300 -18936 M
+S
+0 -19270 48703 19270 @
+R
+-6328 51770 T
+S
+N
+S
+6759 -69660 47840 16490 @ I N
+6759 -53170 T
+N
+S
+N
+24946.00 -873.00 M
+26265.00 -2033.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+25725.00 -1896.00 M
+26301.00 -2065.00 L
+26060.00 -1516.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+
+S
+N
+38584.00 -11977.00 M
+37539.00 -11120.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+38083.00 -11238.00 M
+37502.00 -11089.00 L
+37761.00 -11630.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+27031.00 -874.00 M
+28353.00 -2033.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+27813.00 -1897.00 M
+28389.00 -2065.00 L
+28147.00 -1516.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+18189 -6843 M
+/Times-Roman-ISOLatin1 F 974 o f
+(. . .) h
+R
+
+S
+9345 -10125 M
+/Times-Roman-ISOLatin1 F 973 o f
+(DIFF) h
+0.0 -436.0 m
+( ) h
+0 436.0 m
+(= DC) h
+n 0.801 o f
+0.0 -349.0 m
+(i) h
+0 349.0 m
+n 1.249 o f
+0.0 -436.0 m
+( ) h
+0 436.0 m
+(\255 DC) h
+n 0.801 o f
+0.0 -349.0 m
+(i\2551) h
+0 349.0 m
+R
+
+S
+10936 -3013 M
+/Times-Roman-ISOLatin1 F 973 o f
+(  DC) h
+n 0.801 o f
+0.0 -349.0 m
+(i\2551) h
+0 349.0 m
+n 1.249 o f
+(       DC) h
+n 0.801 o f
+0.0 -349.0 m
+(i) h
+0 349.0 m
+R
+
+S
+N
+11470.00 -3233.00 M
+10035.00 -4378.00 L
+S
+0.00 G E
+R
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+10264.00 -3871.00 M
+9997.00 -4408.00 L
+10580.00 -4267.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+16221.00 -3158.00 M
+14612.00 -4168.00 L
+S
+0.00 G E
+R
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+14897.00 -3690.00 M
+14571.00 -4193.00 L
+15166.00 -4119.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+26789 -2756 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+28180 -2673 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+29672 -2673 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+31162 -2673 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+32652 -2673 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+34241 -2673 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+35533 -2673 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+37024 -2673 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+26789 -3895 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+28281 -3895 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+29672 -3895 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+31162 -3895 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+32652 -3895 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+34241 -3895 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+35533 -3895 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+37024 -3895 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+26789 -5036 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+28281 -5036 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+29672 -5036 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+31162 -5036 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+32652 -5036 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+34241 -5036 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+35533 -5036 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+37024 -5036 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+26789 -6178 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+28281 -6178 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+29672 -6178 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+31162 -6178 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+32652 -6178 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+34241 -6178 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+35533 -6178 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+37024 -6178 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+26789 -7483 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+28281 -7483 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+29672 -7483 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+31162 -7483 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+32652 -7483 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+34241 -7483 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+35533 -7483 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+37024 -7483 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+26789 -8703 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+28281 -8703 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+29672 -8703 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+31162 -8703 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+32652 -8703 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+34241 -8703 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+35632 -8624 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+37024 -8703 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+26789 -9845 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+28281 -9845 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+29672 -9845 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+31162 -9845 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+32652 -9845 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+34241 -9845 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+35533 -9845 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+37024 -9845 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+26789 -11069 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+28281 -11069 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+29672 -11069 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+31162 -11069 M
+/Symbol F 973 o f
+(\267) h
+R
+
+S
+32652 -11069 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+34241 -11069 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+35533 -11069 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+37024 -11069 M
+/Symbol F 975 o f
+(\267) h
+R
+
+S
+9641 -7946 3957 3243 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+9668 -5108 465 380 @
+S
+0.00 G E
+R
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+8783 -14166 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Differential DC encoding) h
+(                                       ) h
+(Zig-zag sequence) h
+R
+
+S
+9891 -6682 M
+/Times-Roman-ISOLatin1 F 973 o f
+(block) h
+n 0.801 o f
+0.0 -349.0 m
+(i\2551) h
+0 349.0 m
+R
+
+S
+13963 -6683 M
+/Times-Roman-ISOLatin1 F 973 o f
+(block) h
+n 0.801 o f
+0.0 -349.0 m
+(i) h
+0 349.0 m
+R
+
+S
+7064 -6843 M
+/Times-Roman-ISOLatin1 F 974 o f
+(. . .) h
+R
+
+S
+N
+28400.00 -2444.00 M
+27055.00 -3545.00 L
+27055.00 -4726.00 L
+29918.00 -2378.00 L
+31279.00 -2378.00 L
+27043.00 -5851.00 L
+27043.00 -7171.00 L
+32894.00 -2371.00 L
+34260.00 -2371.00 L
+27010.00 -8316.00 L
+27010.00 -9535.00 L
+35709.00 -2398.00 L
+37151.00 -2398.00 L
+26927.00 -10781.00 L
+28401.00 -10781.00 L
+37212.00 -3555.00 L
+37212.00 -4808.00 L
+29924.00 -10783.00 L
+31282.00 -10783.00 L
+37271.00 -5871.00 L
+37271.00 -7171.00 L
+32878.00 -10769.00 L
+34260.00 -10769.00 L
+37202.00 -8356.00 L
+37202.00 -9535.00 L
+35679.00 -10781.00 L
+37242.00 -10781.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+34565.00 -9916.00 M
+35359.00 -9916.00 L
+35359.00 -10488.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+28584.00 -2829.00 M
+29377.00 -2829.00 L
+29377.00 -3400.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+36352.00 -9592.00 M
+36352.00 -10161.00 L
+37047.00 -10161.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+27590.00 -2584.00 M
+27590.00 -3154.00 L
+28286.00 -3154.00 L
+S
+40 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+24000 -783 M
+/Times-Roman-ISOLatin1 F 973 o f
+(DC   AC) h
+n 0.801 o f
+0.0 -349.0 m
+(01) h
+0 349.0 m
+R
+
+S
+38456 -12854 M
+/Times-Roman-ISOLatin1 F 974 o f
+(AC) h
+n 0.800 o f
+0.0 -349.0 m
+(77) h
+0 349.0 m
+R
+
+S
+N
+26839.00 -2400.00 M
+28111.00 -2400.00 L
+S
+0.00 G E
+R
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+27656.00 -2654.00 M
+28200.00 -2400.00 L
+27656.00 -2147.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+35577 -834 M
+/Times-Roman-ISOLatin1 F 974 o f
+(        AC) h
+n 0.800 o f
+0.0 -349.0 m
+(07) h
+0 349.0 m
+R
+
+S
+N
+38222.00 -1303.00 M
+37504.00 -2055.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+37635.00 -1551.00 M
+37442.00 -2119.00 L
+38001.00 -1901.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+24060 -12907 M
+/Times-Roman-ISOLatin1 F 974 o f
+(AC) h
+n 0.800 o f
+0.0 -349.0 m
+(70) h
+0 349.0 m
+R
+
+S
+N
+25766.00 -12186.00 M
+26645.00 -11189.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+26534.00 -11698.00 M
+26704.00 -11123.00 L
+26154.00 -11363.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+13603 -7946 3956 3243 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+13630 -5108 463 380 @
+S
+0.00 G E
+R
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+11935 -16293 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Figure 3.  Preparation of Quantized Coefficients for Entropy Coding) h
+R
+
+R
+
+
+R
+R
+
+S
+30583 -75546 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(5) h
+R
+
+showpage
+$P e
+
+%%Page: 6 6
+/$P a D
+g N
+0 79200 T
+S
+R
+S
+6320 -7197 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+246.1 0 32 (Finally, all of the quantized coefficients are ordered) W
+300 -2150 M
+194.4 0 32 (into the ) W
+194.4 0 32 (\026) W
+194.4 0 32 (zig\255zag) W
+194.4 0 32 (\027) W
+194.4 0 32 ( sequence, also shown in Figure 3. ) W
+300 -3250 M
+337.0 0 32 (This ordering helps to facilitate entropy coding by) W
+300 -4350 M
+339.4 0 32 (placing low\255frequency coefficients \(which are more) W
+300 -5450 M
+994.6 0 32 (likely to be nonzero\) before high\255frequency) W
+300 -6550 M
+(coefficients.) h
+300 -7650 M
+300 -8750 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1000 o f
+(4.4  Entropy Coding) h
+300 -10450 M
+/Times-Roman-ISOLatin1 F 1000 o f
+537.0 0 32 (The final DCT\255based encoder processing step is) W
+300 -11550 M
+680.2 0 32 (entropy coding.  This step achieves additional) W
+300 -12650 M
+45.8 0 32 (compression losslessly by encoding the quantized DCT) W
+300 -13750 M
+194.3 0 32 (coefficients more compactly based on their statistical) W
+300 -14850 M
+449.0 0 32 (characteristics.  The JPEG proposal specifies two) W
+300 -15950 M
+321.3 0 32 (entropy coding methods \255 Huffman coding [8] and) W
+300 -17050 M
+87.3 0 32 (arithmetic coding [15].  The Baseline sequential codec) W
+300 -18150 M
+206.0 0 32 (uses Huffman coding, but codecs with both methods) W
+300 -19250 M
+(are specified for all modes of operation.) h
+300 -20350 M
+300 -21450 M
+311.6 0 32 (It is useful to consider entropy coding as a 2\255step) W
+300 -22550 M
+12.6 0 32 (process.  The first step converts the zig\255zag sequence of) W
+300 -23650 M
+65.0 0 32 (quantized coefficients into an intermediate sequence of) W
+300 -24750 M
+166.3 0 32 (symbols.  The second step converts the symbols to a) W
+300 -25850 M
+360.9 0 32 (data stream in which the symbols no longer have) W
+300 -26950 M
+467.5 0 32 (externally identifiable boundaries.  The form and) W
+300 -28050 M
+90.9 0 32 (definition of the intermediate symbols is dependent on) W
+300 -29150 M
+34.6 0 32 (both the DCT\255based mode of operation and the entropy) W
+300 -30250 M
+(coding method.) h
+300 -31350 M
+300 -32450 M
+340.3 0 32 (Huffman coding requires that one or more sets of) W
+300 -33550 M
+198.4 0 32 (Huffman code tables be specified by the application. ) W
+300 -34650 M
+46.4 0 32 (The same tables used to compress an image are needed) W
+300 -35750 M
+156.3 0 32 (to decompress it.  Huffman tables may be predefined) W
+300 -36850 M
+24.1 0 32 (and used within an application as defaults, or computed) W
+300 -37950 M
+821.1 0 32 (specifically for a given image in an initial) W
+300 -39050 M
+272.7 0 32 (statistics\255gathering pass prior to compression.  Such) W
+300 -40150 M
+118.0 0 32 (choices are the business of the applications which use) W
+300 -41250 M
+601.5 0 32 (JPEG; the JPEG proposal specifies no required) W
+300 -42350 M
+333.3 0 32 (Huffman tables.  Huffman coding for the Baseline) W
+300 -43450 M
+(sequential encoder is described in detail in section 7.) h
+300 -44550 M
+300 -45650 M
+254.3 0 32 (By contrast, the particular arithmetic coding method) W
+300 -46750 M
+40.0 0 32 (specified in the JPEG proposal [2] requires no tables to) W
+300 -47850 M
+169.3 0 32 (be externally input, because it is able to adapt to the) W
+300 -48950 M
+182.0 0 32 (image statistics as it encodes the image.  \(If desired,) W
+300 -50050 M
+83.0 0 32 (statistical conditioning tables can be used as inputs for) W
+300 -51150 M
+368.7 0 32 (slightly better efficiency, but this is not required.\) ) W
+300 -52250 M
+827.6 0 32 (Arithmetic coding has produced 5\25510% better) W
+300 -53350 M
+289.6 0 32 (compression than Huffman for many of the images) W
+300 -54450 M
+7.0 0 32 (which JPEG members have tested.  However, some feel) W
+300 -55550 M
+222.1 0 32 (it is more complex than Huffman coding for certain) W
+300 -56650 M
+749.5 0 32 (implementations, for example, the highest\255speed) W
+300 -57750 M
+687.0 0 32 (hardware implementations.  \(Throughout JPEG's) W
+300 -58850 M
+72.6 0 32 (history, ) W
+72.6 0 32 (\026) W
+72.6 0 32 (complexity) W
+72.6 0 32 (\027) W
+72.6 0 32 ( has proved to be most elusive as) W
+300 -59950 M
+(a practical metric for comparing compression methods.\)) h
+300 -61050 M
+300 -62150 M
+83.4 0 32 (If the only difference between two JPEG codecs is the) W
+300 -63250 M
+39.4 0 32 (entropy coding method, transcoding between the two is) W
+-6320 7197 T
+R
+
+S
+31919 -7197 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+106.6 0 32 (possible by simply entropy decoding with one method) W
+300 -2150 M
+(and entropy recoding with the other.) h
+300 -3250 M
+300 -4350 M
+/Times-Bold-ISOLatin1 F 1000 o f
+(4.5  Compression and Picture Quality) h
+300 -6050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+118.9 0 32 (For color images with moderately complex scenes, all) W
+300 -7150 M
+194.3 0 32 (DCT\255based modes of operation typically produce the) W
+300 -8250 M
+289.4 0 32 (following levels of picture quality for the indicated) W
+300 -9350 M
+441.0 0 32 (ranges of compression.  These levels are only a) W
+300 -10450 M
+740.5 0 32 (guideline \255 quality and compression can vary) W
+300 -11550 M
+139.0 0 32 (significantly according to source image characteristics) W
+300 -12650 M
+156.3 0 32 (and scene content.  \(The units ) W
+156.3 0 32 (\026) W
+156.3 0 32 (bits/pixel) W
+156.3 0 32 (\027) W
+156.3 0 32 ( here mean) W
+300 -13750 M
+262.1 0 32 (the total number of bits in the compressed image \255) W
+300 -14850 M
+19.6 0 32 (including the chrominance components \255 divided by the) W
+300 -15950 M
+(number of samples in the luminance component.\)) h
+300 -17050 M
+300 -18150 M
+/Symbol F 1000 o f
+(\267) h
+2100 -18150 M
+/Times-Roman-ISOLatin1 F 1000 o f
+505.8 0 32 (0.25\2550.5 bits/pixel: moderate to good quality,) W
+2100 -19250 M
+(sufficient for some applications;) h
+2100 -20350 M
+300 -21450 M
+/Symbol F 1000 o f
+(\267) h
+2100 -21450 M
+/Times-Roman-ISOLatin1 F 1000 o f
+370.5 0 32 (0.5\2550.75 bits/pixel: good to very good quality,) W
+2100 -22550 M
+(sufficient for many applications;) h
+2100 -23650 M
+300 -24750 M
+/Symbol F 1000 o f
+(\267) h
+2100 -24750 M
+/Times-Roman-ISOLatin1 F 1000 o f
+89.4 0 32 (0.75\2551/5 bits/pixel: excellent quality, sufficient for) W
+2100 -25850 M
+(most applications;) h
+2100 -26950 M
+300 -28050 M
+/Symbol F 1000 o f
+(\267) h
+2100 -28050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+284.8 0 32 (1.5\2552.0 bits/pixel: usually indistinguishable from) W
+2100 -29150 M
+333.8 0 32 (the original, sufficient for the most demanding) W
+2100 -30250 M
+(applications.) h
+300 -31350 M
+300 -32450 M
+300 -33700 M
+/Times-Bold-ISOLatin1 F 1200 o f
+162.7 0 32 (5  Processing Steps for Predictive Lossless) W
+300 -35000 M
+(Coding) h
+300 -36750 M
+/Times-Roman-ISOLatin1 F 1000 o f
+239.4 0 32 (After its selection of a DCT\255based method in 1988,) W
+300 -37850 M
+99.0 0 32 (JPEG discovered that a DCT\255based lossless mode was) W
+300 -38950 M
+69.5 0 32 (difficult to define as a practical standard against which) W
+300 -40050 M
+761.2 0 32 (encoders and decoders could be independently) W
+300 -41150 M
+366.2 0 32 (implemented, without placing severe constraints on) W
+300 -42250 M
+(both encoder and decoder implementations.) h
+300 -43350 M
+300 -44450 M
+160.2 0 32 (JPEG, to meet its requirement for a lossless mode of) W
+300 -45550 M
+448.8 0 32 (operation, has chosen a simple predictive method) W
+300 -46650 M
+225.9 0 32 (which is wholly independent of the DCT processing) W
+300 -47750 M
+37.9 0 32 (described previously.  Selection of this method was not) W
+300 -48850 M
+41.5 0 32 (the result of rigorous competitive evaluation as was the) W
+300 -49950 M
+184.8 0 32 (DCT\255based method.  Nevertheless, the JPEG lossless) W
+300 -51050 M
+626.4 0 32 (method produces results which, in light of its) W
+300 -52150 M
+104.7 0 32 (simplicity, are surprisingly close to the state of the art) W
+300 -53250 M
+144.0 0 32 (for lossless continuous\255tone compression, as indicated) W
+300 -54350 M
+(by a recent technical report [5].) h
+300 -55450 M
+300 -56550 M
+465.0 0 32 (Figure 4 shows the main processing steps for a) W
+300 -57650 M
+282.2 0 32 (single\255component image.  A predictor combines the) W
+300 -58750 M
+5.4 0 32 (values of up to three neighboring samples \(A, B, and C\)) W
+300 -59850 M
+166.5 0 32 (to form a prediction of the sample indicated by X in) W
+300 -60950 M
+147.9 0 32 (Figure 5.  This prediction is then subtracted from the) W
+300 -62050 M
+31.1 0 32 (actual value of sample X, and the difference is encoded) W
+-31919 7197 T
+R
+
+S
+30871 -75643 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(6) h
+R
+
+showpage
+$P e
+
+%%Page: 7 7
+/$P a D
+g N
+0 79200 T
+S
+R
+S
+6300 -26613 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+221.9 0 32 (losslessly by either of the entropy coding methods \255) W
+300 -2150 M
+24.7 0 32 (Huffman or arithmetic.  Any one of the eight predictors ) W
+300 -3250 M
+(listed in Table 1 \(under ) h
+(\026) h
+(selection\255value) h
+(\027) h
+(\) can be used.) h
+300 -4350 M
+300 -5450 M
+178.4 0 32 (Selections 1, 2, and 3 are one\255dimensional predictors) W
+300 -6550 M
+395.6 0 32 (and selections 4, 5, 6 and 7 are two\255dimensional) W
+300 -7650 M
+295.1 0 32 (predictors.  Selection\255value 0 can only be used for) W
+300 -8750 M
+666.7 0 32 (differential coding in the hierarchical mode of) W
+300 -9850 M
+211.6 0 32 (operation.  The entropy coding is nearly identical to) W
+300 -10950 M
+58.7 0 32 (that used for the DC coefficient as described in section) W
+300 -12050 M
+(7.1 \(for Huffman coding\).) h
+300 -13150 M
+300 -25655 M
+/Times-Roman-ISOLatin1 F 1000 o f
+3.4 0 32 (For the lossless mode of operation, two different codecs) W
+300 -26755 M
+225.9 0 32 (are specified \255 one for each entropy coding method. ) W
+300 -27855 M
+62.8 0 32 (The encoders can use any source image precision from) W
+300 -28955 M
+119.3 0 32 (2 to 16 bits/sample, and can use any of the predictors) W
+300 -30055 M
+222.3 0 32 (except selection\255value 0.  The decoders must handle) W
+300 -31155 M
+67.9 0 32 (any of the sample precisions and any of the predictors. ) W
+300 -32255 M
+860.8 0 32 (Lossless codecs typically produce around 2:1) W
+300 -33355 M
+18.3 0 32 (compression for color images with moderately complex) W
+300 -34455 M
+(scenes.) h
+-6300 26613 T
+S
+N
+S
+6363 -51518 22914 11405 @ I N
+6363 -40113 T
+N
+S
+N
+8451.00 -362.00 M
+8451.00 -7298.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+
+S
+N
+6930.00 -1720.00 M
+15682.00 -1720.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6930.00 -3077.00 M
+15682.00 -3077.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6930.00 -364.00 M
+15682.00 -364.00 L
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6930.00 -5941.00 M
+15682.00 -5941.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+10260.00 -362.00 M
+10260.00 -7298.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+12069.00 -362.00 M
+12069.00 -7298.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+13877.00 -362.00 M
+13877.00 -7298.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6930.00 -4585.00 M
+15682.00 -4585.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6930.00 -362.00 M
+6930.00 -7298.00 L
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+2274 -9820 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Figure 5.  3\255Sample Prediction Neighborhood) h
+R
+
+S
+8921 -3989 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(C      B) h
+R
+
+S
+8826 -6038 M
+/Times-Roman-ISOLatin1 F 1000 o f
+0.0 448.0 m
+(A      X) h
+0 -448.0 m
+R
+
+R
+
+
+R
+R
+
+S
+31919 -25472 T
+N
+0 G
+300 -1050 M
+300 -17589 M
+300 -18839 M
+300 -20739 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1200 o f
+(6  Multiple\255Component Images) h
+300 -22489 M
+/Times-Roman-ISOLatin1 F 1000 o f
+323.8 0 32 (The previous sections discussed the key processing) W
+300 -23589 M
+115.0 0 32 (steps of the DCT\255based and predictive lossless codecs) W
+300 -24689 M
+31.4 0 32 (for the case of single\255component source images.  These) W
+300 -25789 M
+169.9 0 32 (steps accomplish the image data compression.  But a) W
+300 -26889 M
+64.7 0 32 (good deal of the JPEG proposal is also concerned with) W
+300 -27989 M
+15.3 0 32 (the handling and control of color \(or other\) images with) W
+300 -29089 M
+460.0 0 32 (multiple components.  JPEG's aim for a generic) W
+300 -30189 M
+871.8 0 32 (compression standard requires its proposal to) W
+300 -31289 M
+(accommodate a variety of source image formats.) h
+300 -32389 M
+300 -33489 M
+/Times-Bold-ISOLatin1 F 1000 o f
+(6.1  Source Image Formats) h
+300 -35189 M
+/Times-Roman-ISOLatin1 F 1000 o f
+95.4 0 32 (The source image model used in the JPEG proposal is) W
+300 -36289 M
+388.9 0 32 (an abstraction from a variety of image types and) W
+300 -37389 M
+138.6 0 32 (applications and consists of only what is necessary to) W
+300 -38489 M
+365.0 0 32 (compress and reconstruct digital image data.  The) W
+300 -39589 M
+35.9 0 32 (reader should recognize that the JPEG compressed data) W
+300 -40689 M
+55.5 0 32 (format does not encode enough information to serve as) W
+300 -41789 M
+130.9 0 32 (a complete image representation.  For example, JPEG) W
+300 -42889 M
+201.3 0 32 (does not specify or encode any information on pixel) W
+300 -43989 M
+694.3 0 32 (aspect ratio, color space, or image acquisition) W
+300 -45089 M
+(characteristics.) h
+-31919 25472 T
+S
+N
+S
+32030 -42311 22818 15439 @ I N
+32030 -26872 T
+N
+S
+3275 -15063 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Table 1.  Predictors for Lossless Coding) h
+R
+
+S
+3737 -1354 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(selection\255) h
+R
+
+S
+3737 -2313 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(value) h
+R
+
+S
+12462 -2313 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(prediction) h
+R
+
+S
+5271 -4038 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(0) h
+R
+
+S
+12654 -4038 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(no prediction) h
+R
+
+S
+5271 -5284 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(1) h
+R
+
+S
+5271 -6530 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(2) h
+R
+
+S
+5271 -7776 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(3) h
+R
+
+S
+5271 -9022 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(4) h
+R
+
+S
+5271 -10268 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(5) h
+R
+
+S
+5271 -11514 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(6) h
+R
+
+S
+5271 -12760 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(7) h
+R
+
+S
+12941 -5284 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(A) h
+R
+
+S
+12941 -6530 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(B) h
+R
+
+S
+12941 -7776 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(C) h
+R
+
+S
+12941 -9022 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(A+B\255C) h
+R
+
+S
+12941 -10268 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(A+\(\(B\255C\)/2\)) h
+R
+
+S
+12941 -11514 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(B+\(\(A\255C\)/2\)) h
+R
+
+S
+12941 -12760 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(A+B\)/2) h
+R
+
+S
+2980 -13017 16683 12878 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+3059.00 -2678.00 M
+19742.00 -2678.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+R
+
+
+R
+R
+
+S
+5321 -7623 T
+N
+S
+0 -18886 50333 18886 @
+R
+0 G
+300 -1050 M
+300 -18265 M
+S
+0 -18886 50333 18886 @
+R
+-5321 7623 T
+S
+N
+S
+6040 -24842 48895 15819 @ I N
+6040 -9023 T
+N
+S
+14805 -7446 6419 3372 @
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+
+S
+24485 -7365 6419 3371 @
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+6605 -7830 4592 4239 @
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+21194.00 -5693.00 M
+24379.00 -5693.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+23924.00 -5947.00 M
+24468.00 -5693.00 L
+23924.00 -5440.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+12919 -8253 19869 5301 @
+S
+400 w
+0 c
+0 j
+0.875 G k
+R
+R
+
+S
+16371 -6156 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Predictor) h
+R
+
+S
+25955 -5348 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Entropy) h
+R
+
+S
+25955 -6718 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Encoder) h
+R
+
+S
+34036 -6700 9118 1720 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+20155 -2341 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Lossless Encoder) h
+R
+
+S
+N
+27860.00 -9526.00 M
+27860.00 -7553.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+28113.00 -8038.00 M
+27859.00 -7494.00 L
+27606.00 -8038.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+11310.00 -5934.00 M
+14736.00 -5934.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+14252.00 -6188.00 M
+14795.00 -5934.00 L
+14252.00 -5681.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+30770.00 -5853.00 M
+34015.00 -5853.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+33531.00 -6107.00 M
+34074.00 -5853.00 L
+33531.00 -5600.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+7346 -10432 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(  Source ) h
+R
+
+S
+6805 -11556 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Image Data) h
+R
+
+S
+25926 -10814 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(   Table) h
+R
+
+S
+24948 -11967 M
+/Times-Roman-ISOLatin1 F 1000 o f
+( Specifications) h
+R
+
+S
+36573 -10348 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Compressed) h
+R
+
+S
+36253 -11503 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(  Image Data) h
+R
+
+S
+15111 -15567 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Figure 4.  Lossless Mode Encoder Processing Steps) h
+R
+
+S
+24157 -12561 7441 2856 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+R
+
+
+R
+R
+
+S
+30679 -76122 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(7) h
+R
+
+showpage
+$P e
+
+%%Page: 8 8
+/$P a D
+g N
+0 79200 T
+S
+R
+S
+6314 -26079 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+129.3 0 32 (Figure 6 illustrates the JPEG source image model.  A) W
+300 -2150 M
+733.9 0 32 (source image contains from 1 to 255 image) W
+300 -3250 M
+143.3 0 32 (components, sometimes called color or spectral bands) W
+300 -4350 M
+59.1 0 32 (or channels.  Each component consists of a rectangular) W
+300 -5450 M
+369.4 0 32 (array of samples.  A sample is defined to be an) W
+300 -6550 M
+121.1 0 32 (unsigned integer with precision P bits, with any value) W
+300 -7650 M
+110.9 0 32 (in the range [0, 2) W
+n 0.800 o f
+0.0 448.0 m
+110.9 0 32 (P) W
+0 -448.0 m
+n 1.250 o f
+110.9 0 32 (\2551].  All samples of all components) W
+300 -8750 M
+305.4 0 32 (within the same source image must have the same) W
+300 -9850 M
+113.6 0 32 (precision P.  P can be 8 or 12 for DCT\255based codecs,) W
+300 -10950 M
+(and 2 to 16 for predictive codecs.) h
+300 -12050 M
+300 -13150 M
+35.8 0 32 (The ith component has sample dimensions x) W
+n 0.800 o f
+0.0 -358.0 m
+35.8 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+35.8 0 32 ( by y) W
+n 0.800 o f
+0.0 -358.0 m
+35.8 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+35.8 0 32 (.  To) W
+300 -14250 M
+960.8 0 32 (accommodate formats in which some image) W
+300 -15350 M
+119.1 0 32 (components are sampled at different rates than others,) W
+300 -16450 M
+504.5 0 32 (components can have different dimensions.  The) W
+300 -17550 M
+258.7 0 32 (dimensions must have a mutual integral relationship) W
+300 -18650 M
+392.4 0 32 (defined by H) W
+n 0.800 o f
+0.0 -358.0 m
+392.4 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+392.4 0 32 ( and V) W
+n 0.800 o f
+0.0 -358.0 m
+392.4 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+392.4 0 32 (, the relative horizontal and) W
+300 -19750 M
+134.9 0 32 (vertical sampling factors, which must be specified for) W
+300 -20850 M
+128.4 0 32 (each component.  Overall image dimensions X and Y) W
+300 -21950 M
+533.9 0 32 (are defined as the maximum x) W
+n 0.800 o f
+0.0 -358.0 m
+533.9 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+533.9 0 32 ( and y) W
+n 0.800 o f
+0.0 -358.0 m
+533.9 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+533.9 0 32 ( for all) W
+300 -23050 M
+36.0 0 32 (components in the image, and can be any number up to) W
+300 -24150 M
+184.8 0 32 (2) W
+n 0.800 o f
+0.0 448.0 m
+184.8 0 32 (16) W
+0 -448.0 m
+n 1.250 o f
+184.8 0 32 (.  H and V are allowed only the integer values 1) W
+300 -25250 M
+86.3 0 32 (through 4.  The encoded parameters are X, Y, and H) W
+n 0.800 o f
+0.0 -358.0 m
+86.3 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+86.3 0 32 (s) W
+300 -26350 M
+3.8 0 32 (and V) W
+n 0.800 o f
+0.0 -358.0 m
+3.8 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+3.8 0 32 (s for each components.  The decoder reconstructs) W
+300 -27450 M
+17.4 0 32 (the dimensions x) W
+n 0.800 o f
+0.0 -358.0 m
+17.4 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+17.4 0 32 ( and y) W
+n 0.800 o f
+0.0 -358.0 m
+17.4 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+17.4 0 32 ( for each component, according) W
+300 -28550 M
+(to the following relationship shown in Equation 5:) h
+300 -35499 M
+300 -36599 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(where ) h
+/Symbol F 1000 o f
+(\351  \371) h
+/Times-Roman-ISOLatin1 F 1000 o f
+(  is the ceiling function.) h
+300 -37699 M
+300 -38799 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1000 o f
+(6.2  Encoding Order and Interleaving) h
+300 -40499 M
+/Times-Roman-ISOLatin1 F 1000 o f
+157.3 0 32 (A practical image compression standard must address) W
+300 -41599 M
+188.0 0 32 (how systems will need to handle the data during the) W
+300 -42699 M
+111.0 0 32 (process of decompression.  Many applications need to) W
+300 -43799 M
+749.5 0 32 (pipeline the process of displaying or printing) W
+300 -44899 M
+36.7 0 32 (multiple\255component images in parallel with the process) W
+-6314 26079 T
+S
+N
+S
+6616 -60828 22435 5849 @ I N
+6616 -54979 T
+N
+S
+3793 -2015 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(x) h
+R
+
+
+
+S
+4326 -2266 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(i) h
+R
+
+S
+5082 -1922 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(=) h
+R
+
+S
+6926 -1947 M
+/Dutch801-Roman-DECmath_Symbol F 1253 o f
+(d) h
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(X) h
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+/Courier-ISOLatin1 $
+/Courier & P
+/Courier-ISOLatin1 F 1200 o f
+(  ) h
+% /AvantGarde-Book-ISOLatin1 $
+% /AvantGarde-Book & P
+% /AvantGarde-Book-ISOLatin1 F 1200 o f
+% (   ) h
+% /Courier-ISOLatin1 F 1200 o f
+(   ) h
+/Dutch801-Roman-DECmath_Symbol F 1200 o f
+(e) h
+R
+
+S
+10345 -1067 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(H) h
+R
+
+S
+11067 -1412 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(i) h
+R
+
+S
+9790 -2540 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(H) h
+R
+
+S
+N
+9502.00 -1510.00 M
+11557.00 -1510.00 L
+S
+49 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+12670 -2114 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(   and) h
+n 0.833 o f
+(               ) h
+R
+
+S
+3876 -4899 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(y) h
+R
+
+
+S
+4409 -5150 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(i) h
+R
+
+S
+5165 -4806 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(=) h
+R
+
+S
+7584 -4899 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(Y) h
+R
+
+S
+10363 -4046 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(V) h
+R
+
+S
+10974 -4296 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(i) h
+R
+
+S
+9807 -5424 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(V) h
+R
+
+S
+10418 -5466 M
+/Dutch801-Italic-DECmath_Italic F 800 o f
+(m) h
+R
+
+S
+12135 -4719 M
+/Dutch801-Roman-DECmath_Symbol F 1200 o f
+(e) h
+R
+
+S
+11057 -5498 M
+/Dutch801-Italic-DECmath_Italic F 800 o f
+(ax) h
+R
+
+S
+10610 -2588 M
+/Dutch801-Italic-DECmath_Italic F 800 o f
+(m) h
+R
+
+S
+11249 -2620 M
+/Dutch801-Italic-DECmath_Italic F 800 o f
+(ax) h
+R
+
+S
+N
+9885.00 -4388.00 M
+11940.00 -4388.00 L
+S
+49 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+7009 -4707 M
+/Dutch801-Roman-DECmath_Symbol F 1200 o f
+(d) h
+R
+
+S
+8505 -4699 M
+/Dutch801-Roman-DECmath_Symbol F 1084 o f
+(\242) h
+R
+
+S
+8410 -1822 M
+/Dutch801-Roman-DECmath_Symbol F 1084 o f
+(\242) h
+R
+
+S
+21132 -5513 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(5\)) h
+R
+
+R
+
+
+R
+R
+
+S
+31919 -26075 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+305.0 0 32 (of decompression.  For many systems, this is only) W
+300 -2150 M
+370.5 0 32 (feasible if the components are interleaved together) W
+300 -3250 M
+(within the compressed data stream.) h
+300 -4350 M
+300 -5450 M
+35.7 0 32 (To make the same interleaving machinery applicable to) W
+300 -6550 M
+439.7 0 32 (both DCT\255based and predictive codecs, the JPEG) W
+300 -7650 M
+25.1 0 32 (proposal has defined the concept of ) W
+25.1 0 32 (\026) W
+25.1 0 32 (data unit.) W
+25.1 0 32 (\027) W
+25.1 0 32 (  A data) W
+300 -8750 M
+83.2 0 32 (unit is a sample in predictive codecs and an 8x8 block) W
+300 -9850 M
+(of samples in DCT\255based codecs.) h
+300 -10950 M
+300 -12050 M
+40.2 0 32 (The order in which compressed data units are placed in) W
+300 -13150 M
+400.9 0 32 (the compressed data stream is a generalization of) W
+300 -14250 M
+274.3 0 32 (raster\255scan order.  Generally, data units are ordered) W
+300 -15350 M
+231.2 0 32 (from left\255to\255right and top\255to\255bottom according to the) W
+300 -16450 M
+92.1 0 32 (orientation shown in Figure 6.  \(It is the responsibility) W
+300 -17550 M
+21.7 0 32 (of applications to define which edges of a source image) W
+300 -18650 M
+36.0 0 32 (are top, bottom, left and right.\)  If an image component) W
+300 -19750 M
+555.2 0 32 (is noninterleaved \(i.e., compressed without being) W
+300 -20850 M
+222.2 0 32 (interleaved with other components\), compressed data) W
+300 -21950 M
+250.1 0 32 (units are ordered in a pure raster scan as shown in) W
+300 -23050 M
+(Figure 7.) h
+300 -35752 M
+300 -36852 M
+/Times-Roman-ISOLatin1 F 1000 o f
+190.7 0 32 (When two or more components are interleaved, each) W
+300 -37952 M
+75.1 0 32 (component C) W
+n 0.800 o f
+0.0 -358.0 m
+75.1 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+75.1 0 32 ( is partitioned into rectangular regions of) W
+300 -39052 M
+376.4 0 32 (H) W
+n 0.800 o f
+0.0 -358.0 m
+376.4 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+376.4 0 32 ( by V) W
+n 0.800 o f
+0.0 -358.0 m
+376.4 0 32 (i) W
+0 358.0 m
+n 1.250 o f
+376.4 0 32 ( data units, as shown in the generalized) W
+300 -40152 M
+228.3 0 32 (example of Figure 8.  Regions are ordered within a) W
+300 -41252 M
+288.4 0 32 (component from left\255to\255right and top\255to\255bottom, and) W
+300 -42352 M
+17.4 0 32 (within a region, data units are ordered from left\255to\255right) W
+300 -43452 M
+293.3 0 32 (and top\255to\255bottom.  The JPEG proposal defines the) W
+300 -44552 M
+131.4 0 32 (term Minimum Coded Unit \(MCU\) to be the smallest) W
+-31919 26075 T
+S
+N
+S
+32126 -61077 22626 11602 @ I N
+32126 -49475 T
+N
+S
+N
+5326.00 -7291.00 M
+5326.00 -1714.00 L
+16831.00 -1714.00 L
+16831.00 -7204.00 L
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+
+
+S
+N
+7068.00 -1801.00 M
+7068.00 -7291.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+5413.00 -3369.00 M
+16744.00 -3369.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+8725.00 -1801.00 M
+8725.00 -7291.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+10294.00 -1801.00 M
+10294.00 -7291.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+11950.00 -1801.00 M
+11950.00 -7291.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+13606.00 -1801.00 M
+13606.00 -7291.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+15262.00 -1801.00 M
+15262.00 -7291.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6023.00 -2761.00 M
+15841.00 -2761.00 L
+S
+0.00 G - + * E
+R
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+15357.00 -3015.00 M
+15900.00 -2761.00 L
+15357.00 -2508.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6023.00 -4329.00 M
+15841.00 -4329.00 L
+S
+0.00 G - + * E
+R
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+15357.00 -4583.00 M
+15900.00 -4329.00 L
+15357.00 -4076.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6023.00 -5897.00 M
+15912.00 -5897.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+15392.00 -6151.00 M
+15936.00 -5897.00 L
+15392.00 -5644.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+10885 -1242 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(top) h
+R
+
+S
+17405 -4502 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(right) h
+R
+
+S
+9927 -8623 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(bottom) h
+R
+
+S
+3407 -4598 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(left) h
+R
+
+S
+2930 -10983 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Figure 7.  Noninterleaved Data Ordering) h
+R
+
+S
+N
+5413.00 -5198.00 M
+16744.00 -5198.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+5413.00 -6593.00 M
+16744.00 -6593.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+5962 -3048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+7792 -3048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+9449 -3048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+11017 -3048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+12499 -3048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+14329 -3048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+5962 -4617 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+7792 -4617 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+9449 -4617 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+11017 -4617 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+12499 -4617 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+14329 -4617 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+5962 -6185 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+7792 -6185 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+9449 -6185 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+11017 -6185 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+12499 -6185 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+14329 -6185 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+15724 -6185 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+15637 -4617 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+15810 -3048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+N
+15985.00 -2880.00 M
+6358.00 -4181.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+6839.00 -3860.00 M
+6334.00 -4184.00 L
+6907.00 -4362.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+15985.00 -4361.00 M
+6358.00 -5663.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+6839.00 -5342.00 M
+6334.00 -5666.00 L
+6907.00 -5844.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+15724.00 -6016.00 M
+7839.00 -7057.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+8321.00 -6738.00 M
+7815.00 -7060.00 L
+8388.00 -7240.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+R
+
+
+R
+R
+
+S
+6136 -6135 T
+N
+0 G
+300 -1050 M
+300 -19032 M
+-6136 6135 T
+S
+N
+S
+6375 -24121 48416 16586 @ I N
+6375 -7535 T
+N
+S
+9244 -9158 9699 8966 @
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+
+S
+7415 -9798 9701 4928 @
+S
+0.00 G - + * E
+R
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+27825 -11568 8505 8975 @
+S
+0.00 G - + * E
+R
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+28301 -3210 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+29302 -3210 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+30374 -3210 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+31445 -3210 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+32517 -3210 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+33518 -3210 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+34591 -3210 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+35735 -3210 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+28301 -4190 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+29302 -4190 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+30374 -4190 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+31445 -4190 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+32517 -4190 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+33518 -4190 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+34591 -4190 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+35735 -4190 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+28230 -6603 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+29302 -6603 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+30374 -5473 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+31445 -5473 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+28230 -7584 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+29302 -5473 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+28230 -5473 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+N
+33185.00 -2692.00 M
+33185.00 -11468.00 L
+S
+10 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+32932.00 -10937.00 M
+33185.00 -11481.00 L
+33439.00 -10937.00 L
+S
+10 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+33439.00 -3224.00 M
+33185.00 -2680.00 L
+32932.00 -3224.00 L
+S
+10 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+27921.00 -9380.00 M
+36378.00 -9380.00 L
+S
+10 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+35847.00 -9634.00 M
+36391.00 -9380.00 L
+35847.00 -9127.00 L
+S
+10 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+28453.00 -9127.00 M
+27909.00 -9380.00 L
+28453.00 -9634.00 L
+S
+10 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+32614 -7043 1071 1132 @
+S
+0.00 G - + * E
+R
+R
+
+S
+29397 -9833 929 981 @
+S
+0.00 G - + * E
+R
+R
+
+S
+29540 -9442 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(x) h
+0.0 -448.0 m
+(i) h
+0 448.0 m
+R
+
+S
+32900 -6502 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(y) h
+0.0 -448.0 m
+(i) h
+0 448.0 m
+R
+
+S
+31685 -2094 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(top) h
+R
+
+S
+30970 -12654 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(bottom) h
+R
+
+S
+36830 -7675 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(right) h
+R
+
+S
+26252 -7752 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(left) h
+R
+
+S
+23751 -3752 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(samples) h
+R
+
+S
+37688 -3603 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(line) h
+R
+
+S
+N
+26793.00 -3738.00 M
+28252.00 -4159.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+27716.00 -4268.00 M
+28309.00 -4176.00 L
+27857.00 -3782.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+26824.00 -3725.00 M
+28176.00 -5295.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+27668.00 -5093.00 M
+28215.00 -5340.00 L
+28052.00 -4762.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+27538.00 -4289.00 M
+27538.00 -3950.00 27538.00 -3950.00 32076.00 -3950.00 C
+36615.00 -3950.00 36615.00 -3950.00 36615.00 -4289.00 C
+36615.00 -4629.00 36615.00 -4629.00 32076.00 -4629.00 C
+27538.00 -4629.00 27538.00 -4629.00 27538.00 -4289.00 C
+H
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+37402.00 -3725.00 M
+36787.00 -4114.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+37061.00 -3641.00 M
+36737.00 -4146.00 L
+37332.00 -4070.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+6863 -13926 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(a\) Source image with multiple components   ) h
+R
+
+S
+6402 -11015 5472 4631 @
+S
+0.00 G - + * E
+R
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+6248 -6138 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+7002 -5149 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+6658 -5639 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+28040 -1901 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(C) h
+0.0 -448.0 m
+(i) h
+0 448.0 m
+R
+
+S
+17439 -16309 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Figure 6.  JPEG Source Image Model) h
+R
+
+S
+11849 -11761 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(C) h
+0.0 -448.0 m
+(1) h
+0 448.0 m
+R
+
+S
+12308 -10629 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(C) h
+0.0 -448.0 m
+(2) h
+0 448.0 m
+R
+
+S
+17920 -10345 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(C) h
+0.0 -448.0 m
+(Nf\2551) h
+0 448.0 m
+R
+
+S
+6022 -11388 5476 4632 @
+S
+0.00 G - + * E
+R
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+25372 -13926 M
+/Times-Roman-ISOLatin1 F 1000 o f
+( \(b\) Characteristics of an image component) h
+R
+
+S
+14239 -10788 M
+/Times-Bold-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+15931 -10565 M
+/Times-Bold-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+17424 -10188 M
+/Times-Bold-ISOLatin1 F 1000 o f
+(.) h
+R
+
+S
+20205 -9004 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(C) h
+0.0 -448.0 m
+(Nf) h
+0 448.0 m
+R
+
+R
+
+
+R
+R
+
+S
+30871 -76122 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(8) h
+R
+
+showpage
+$P e
+
+%%Page: 9 9
+/$P a D
+g N
+0 79200 T
+S
+R
+S
+6317 -38015 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+371.4 0 32 (group of interleaved data units.  For the example) W
+300 -2150 M
+10.8 0 32 (shown, MCU) W
+n 0.800 o f
+0.0 -358.0 m
+10.8 0 32 (1) W
+0 358.0 m
+n 1.250 o f
+10.8 0 32 ( consists of data units taken first from the) W
+300 -3250 M
+50.4 0 32 (top\255left\255most region of C) W
+n 0.800 o f
+0.0 -358.0 m
+50.4 0 32 (1) W
+0 358.0 m
+n 1.250 o f
+50.4 0 32 (, followed by data units from) W
+300 -4350 M
+218.7 0 32 (the same region of C) W
+n 0.800 o f
+0.0 -358.0 m
+218.7 0 32 (2) W
+0 358.0 m
+n 1.250 o f
+218.7 0 32 (, and likewise for C) W
+n 0.800 o f
+0.0 -358.0 m
+218.7 0 32 (3) W
+0 358.0 m
+n 1.250 o f
+218.7 0 32 ( and C) W
+n 0.800 o f
+0.0 -358.0 m
+218.7 0 32 (4) W
+0 358.0 m
+n 1.250 o f
+218.7 0 32 (. ) W
+300 -5450 M
+(MCU) h
+n 0.800 o f
+0.0 -358.0 m
+(2) h
+0 358.0 m
+n 1.250 o f
+( continues the pattern as shown.) h
+300 -6550 M
+300 -7650 M
+0.1 0 32 (Thus, interleaved data is an ordered sequence of MCUs,) W
+300 -8750 M
+122.0 0 32 (and the number of data units contained in an MCU is) W
+300 -9850 M
+175.8 0 32 (determined by the number of components interleaved) W
+300 -10950 M
+309.3 0 32 (and their relative sampling factors.  The maximum) W
+300 -12050 M
+166.6 0 32 (number of components which can be interleaved is 4) W
+300 -13150 M
+105.2 0 32 (and the maximum number of data units in an MCU is) W
+300 -14250 M
+271.4 0 32 (10.  The latter restriction is expressed as shown in) W
+300 -15350 M
+650.4 0 32 (Equation 6, where the summation is over the) W
+300 -16450 M
+(interleaved components:) h
+300 -21960 M
+/Times-Roman-ISOLatin1 F 1000 o f
+86.6 0 32 (Because of this restriction, not every combination of 4) W
+300 -23060 M
+0.2 0 32 (components which can be represented in noninterleaved) W
+300 -24160 M
+170.4 0 32 (order within a JPEG\255compressed image is allowed to) W
+300 -25260 M
+312.3 0 32 (be interleaved.  Also, note that the JPEG proposal) W
+300 -26360 M
+48.4 0 32 (allows some components to be interleaved and some to) W
+300 -27460 M
+(be noninterleaved within the same compressed image.) h
+300 -28560 M
+300 -29660 M
+300 -31360 M
+300 -33060 M
+-6317 38015 T
+S
+N
+S
+6715 -59225 22243 4410 @ I N
+6715 -54815 T
+N
+S
+6160 -1603 M
+/Symbol F 1200 o f
+(\345) h
+/Times-Roman-ISOLatin1 F 1000 o f
+(   H) h
+0.0 -448.0 m
+(i) h
+0 448.0 m
+( \327 V) h
+0.0 -448.0 m
+(i) h
+0 448.0 m
+( ) h
+/Symbol F 1000 o f
+(\243) h
+/Times-Roman-ISOLatin1 F 1000 o f
+( 10) h
+R
+
+
+S
+6063 -2753 M
+/Times-Italic-ISOLatin1 $
+/Times-Italic & P
+/Times-Italic-ISOLatin1 F 800 o f
+(all ) h
+/Times-Roman-ISOLatin1 F 800 o f
+(i in) h
+R
+
+S
+6063 -3520 M
+/Times-Roman-ISOLatin1 F 800 o f
+(interleave) h
+R
+
+S
+21020 -3233 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(6\)) h
+R
+
+R
+
+
+R
+R
+
+S
+31919 -38038 T
+N
+0 G
+300 -1050 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1000 o f
+(6.3  Multiple Tables) h
+300 -2750 M
+/Times-Roman-ISOLatin1 F 1000 o f
+564.3 0 32 (In addition to the interleaving control discussed) W
+300 -3850 M
+235.7 0 32 (previously, JPEG codecs must control application of) W
+300 -4950 M
+166.7 0 32 (the proper table data to the proper components.  The) W
+300 -6050 M
+178.4 0 32 (same quantization table and the same entropy coding) W
+300 -7150 M
+288.8 0 32 (table \(or set of tables\) must be used to encode all) W
+300 -8250 M
+(samples within a component.) h
+300 -9350 M
+300 -10450 M
+76.4 0 32 (JPEG decoders can store up to 4 different quantization) W
+300 -11550 M
+212.9 0 32 (tables and up to 4 different \(sets of\) entropy coding) W
+300 -12650 M
+632.8 0 32 (tables simultaneously.  \(The Baseline sequential) W
+300 -13750 M
+93.3 0 32 (decoder is the exception; it can only store up to 2 sets) W
+300 -14850 M
+427.0 0 32 (of entropy coding tables.\)  This is necessary for) W
+300 -15950 M
+1458.0 0 32 (switching between different tables during) W
+300 -17050 M
+916.2 0 32 (decompression of a scan containing multiple) W
+300 -18150 M
+111.1 0 32 (\(interleaved\) components, in order to apply the proper) W
+300 -19250 M
+322.9 0 32 (table to the proper component.  \(Tables cannot be) W
+300 -20350 M
+302.0 0 32 (loaded during decompression of a scan.\)  Figure 9) W
+300 -21450 M
+406.8 0 32 (illustrates the table\255switching control that must be) W
+300 -22550 M
+610.3 0 32 (managed in conjunction with multiple\255component) W
+300 -23650 M
+17.3 0 32 (interleaving for the encoder side.  \(This simplified view) W
+300 -24750 M
+110.7 0 32 (does not distinguish between quantization and entropy) W
+300 -25850 M
+(coding tables.\)) h
+-31919 38038 T
+R
+
+S
+6136 -5992 T
+N
+0 G
+300 -1050 M
+300 -31016 M
+-6136 5992 T
+S
+N
+S
+6423 -35962 48128 28570 @ I N
+6423 -7392 T
+N
+S
+N
+3368.00 -10873.00 M
+3368.00 -3107.00 L
+14202.00 -3107.00 L
+14202.00 -10873.00 L
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+
+S
+N
+3464.00 -6653.00 M
+14297.00 -6653.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+7012.00 -3286.00 M
+7012.00 -10693.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+10656.00 -3286.00 M
+10656.00 -10693.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+14203.00 -3202.00 M
+14203.00 -6750.00 L
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+3464.00 -10297.00 M
+14297.00 -10297.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+3848 -2854 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(  0   1    2    3    4     5) h
+R
+
+S
+2410 -4196 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(0) h
+R
+
+S
+2410 -6112 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(1) h
+R
+
+S
+2410 -8028 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(2) h
+R
+
+S
+2410 -9944 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(3) h
+R
+
+S
+N
+16790.00 -7229.00 M
+16790.00 -3106.00 L
+27528.00 -3106.00 L
+27528.00 -7133.00 L
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+17460 -2758 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(0    1    2    3     4    5) h
+R
+
+S
+15927 -4196 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(0) h
+R
+
+S
+15927 -6112 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(1) h
+R
+
+S
+N
+20336.00 -3202.00 M
+20336.00 -7133.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+23979.00 -3202.00 M
+23979.00 -7133.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+16885.00 -6653.00 M
+27527.00 -6653.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+30883.00 -10988.00 M
+30883.00 -3202.00 L
+36252.00 -3202.00 L
+36252.00 -11064.00 L
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+30979.00 -6750.00 M
+36348.00 -6750.00 L
+S
+25 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+32704.00 -3279.00 M
+32704.00 -10910.00 L
+S
+25 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+30979.00 -10394.00 M
+36348.00 -10394.00 L
+S
+25 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+34430.00 -3279.00 M
+34430.00 -10910.00 L
+S
+25 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+31458 -2854 M
+/Times-Roman-ISOLatin1 F 1000 o f
+( 0    1    2) h
+R
+
+S
+29924 -4196 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(0) h
+R
+
+S
+29924 -6113 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(1) h
+R
+
+S
+29924 -8028 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(2) h
+R
+
+S
+29924 -9944 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(3) h
+R
+
+S
+N
+40184.00 -7325.00 M
+40184.00 -3202.00 L
+45648.00 -3202.00 L
+45648.00 -7325.00 L
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+40088.00 -4928.00 M
+45552.00 -4928.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+42004.00 -3298.00 M
+42004.00 -7133.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+43825.00 -3298.00 M
+43825.00 -7133.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+40088.00 -6750.00 M
+45552.00 -6750.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+40854 -2854 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(0    1    2) h
+R
+
+S
+39320 -4484 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(0) h
+R
+
+S
+39320 -6400 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(1) h
+R
+
+S
+4482 -768 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Cs) h
+0.0 -448.0 m
+(1) h
+0 448.0 m
+(: H) h
+0.0 -448.0 m
+(1) h
+0 448.0 m
+(=2, V) h
+0.0 -448.0 m
+(1) h
+0 448.0 m
+(=2) h
+R
+
+S
+17724 -863 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Cs) h
+0.0 -448.0 m
+(2) h
+0 448.0 m
+(:  H) h
+0.0 -448.0 m
+(2) h
+0 448.0 m
+(=2, V) h
+0.0 -448.0 m
+(2) h
+0 448.0 m
+(=1) h
+R
+
+S
+29128 -959 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Cs) h
+0.0 -448.0 m
+(3) h
+0 448.0 m
+(:  H) h
+0.0 -448.0 m
+(3) h
+0 448.0 m
+(=1, V) h
+0.0 -448.0 m
+(3) h
+0 448.0 m
+(=2) h
+R
+
+S
+38312 -864 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Cs) h
+0.0 -448.0 m
+(4) h
+0 448.0 m
+(:  H) h
+0.0 -448.0 m
+(4) h
+0 448.0 m
+(=1, V) h
+0.0 -448.0 m
+(4) h
+0 448.0 m
+(=1) h
+R
+
+S
+4235 -9678 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+5961 -9678 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+7591 -9678 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+9604 -9678 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+11522 -9678 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+13439 -9678 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+4235 -8048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+5961 -8048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+7591 -8048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+9604 -8048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+11426 -8048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+13439 -8048 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+4235 -6131 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+5961 -6131 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+7591 -6131 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+9604 -6131 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+11522 -6131 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+13439 -6131 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+4235 -4501 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+5961 -4501 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+7591 -4501 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+9604 -4501 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+11618 -4597 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+13439 -4501 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+N
+4427.00 -4268.00 M
+6153.00 -4268.00 L
+4422.00 -5726.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+4629.00 -5220.00 M
+4376.00 -5764.00 L
+4956.00 -5608.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+4331.00 -5898.00 M
+6057.00 -5898.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6057.00 -5898.00 M
+7654.00 -4302.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+7466.00 -4849.00 M
+7671.00 -4285.00 L
+7107.00 -4490.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+7975.00 -4268.00 M
+9701.00 -4268.00 L
+7970.00 -5726.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+8177.00 -5220.00 M
+7924.00 -5764.00 L
+8504.00 -5608.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+7879.00 -5898.00 M
+9605.00 -5898.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+9605.00 -5898.00 M
+11581.00 -4297.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+11337.00 -4821.00 M
+11600.00 -4282.00 L
+11018.00 -4427.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+11905.00 -4268.00 M
+13631.00 -4268.00 L
+11900.00 -5726.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+12107.00 -5220.00 M
+11854.00 -5764.00 L
+12434.00 -5608.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+11809.00 -5898.00 M
+13535.00 -5898.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+4427.00 -7720.00 M
+6153.00 -7720.00 L
+4422.00 -9178.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+4629.00 -8672.00 M
+4376.00 -9216.00 L
+4956.00 -9060.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+4331.00 -9350.00 M
+6057.00 -9350.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6057.00 -9350.00 M
+7654.00 -7754.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+7466.00 -8301.00 M
+7671.00 -7737.00 L
+7107.00 -7942.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+40953 -4376 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+17465 -6007 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+19191 -6007 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+21108 -6007 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+22833 -6007 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+24846 -6007 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+26476 -6007 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+17465 -4186 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+19191 -4186 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+21108 -4186 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+22833 -4186 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+24846 -4186 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+26476 -4186 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+N
+19287.00 -3884.00 M
+21061.00 -3884.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+20541.00 -4138.00 M
+21085.00 -3884.00 L
+20541.00 -3631.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+23026.00 -3884.00 M
+24800.00 -3884.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+24280.00 -4138.00 M
+24824.00 -3884.00 L
+24280.00 -3631.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+19383.00 -5706.00 M
+21157.00 -5706.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+20637.00 -5960.00 M
+21181.00 -5706.00 L
+20637.00 -5453.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+26573.00 -3980.00 M
+18182.00 -5409.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+18652.00 -5072.00 M
+18158.00 -5414.00 L
+18737.00 -5572.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+31655 -4185 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+33381 -4185 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+35106 -4185 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+31655 -6007 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+33381 -6007 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+35106 -6007 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+31655 -8116 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+33381 -8116 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+35106 -8116 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+31655 -9938 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+33381 -9938 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+35106 -9938 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+N
+31847.00 -3980.00 M
+31847.00 -5588.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+31594.00 -5104.00 M
+31847.00 -5647.00 L
+32101.00 -5104.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+33572.00 -3980.00 M
+33572.00 -5588.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+33319.00 -5104.00 M
+33572.00 -5647.00 L
+33826.00 -5104.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+35298.00 -3980.00 M
+35298.00 -5588.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+35045.00 -5104.00 M
+35298.00 -5647.00 L
+35552.00 -5104.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+31847.00 -7911.00 M
+31847.00 -9519.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+31594.00 -9035.00 M
+31847.00 -9578.00 L
+32101.00 -9035.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+31846.00 -5802.00 M
+33357.00 -4007.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+33213.00 -4573.00 M
+33369.00 -3994.00 L
+32825.00 -4246.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+33572.00 -5802.00 M
+35083.00 -4007.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+34939.00 -4573.00 M
+35095.00 -3994.00 L
+34551.00 -4246.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+31942.00 -9637.00 M
+33453.00 -7842.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+33309.00 -8408.00 M
+33465.00 -7829.00 L
+32921.00 -8081.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+35202.00 -5802.00 M
+31685.00 -7798.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+32017.00 -7318.00 M
+31669.00 -7807.00 L
+32268.00 -7759.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+17561.00 -3884.00 M
+19265.00 -3884.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+18781.00 -4138.00 M
+19324.00 -3884.00 L
+18781.00 -3631.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+17561.00 -5706.00 M
+19265.00 -5706.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+18781.00 -5960.00 M
+19324.00 -5706.00 L
+18781.00 -5453.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+21108.00 -3884.00 M
+22812.00 -3884.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+22328.00 -4138.00 M
+22871.00 -3884.00 L
+22328.00 -3631.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+42679 -4376 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+44500 -4376 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+40953 -6293 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+42679 -6293 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+44500 -6293 M
+/Symbol F 1200 o f
+(\267) h
+R
+
+S
+N
+42105.00 -4076.00 M
+44850.00 -4076.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+44324.00 -4330.00 M
+44868.00 -4076.00 L
+44324.00 -3823.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+44789.00 -4172.00 M
+41177.00 -5883.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+41544.00 -5429.00 M
+41161.00 -5891.00 L
+41761.00 -5887.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+41050.00 -6090.00 M
+42549.00 -6090.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+42023.00 -6344.00 M
+42567.00 -6090.00 L
+42023.00 -5837.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+25039.00 -3884.00 M
+26743.00 -3884.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+26259.00 -4138.00 M
+26802.00 -3884.00 L
+26259.00 -3631.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+16885.00 -5023.00 M
+27527.00 -5023.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+13630.00 -6061.00 M
+4855.00 -7491.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+5327.00 -7158.00 M
+4831.00 -7496.00 L
+5409.00 -7658.00 L
+S
+20 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+41183.00 -4034.00 M
+42674.00 -4034.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+42148.00 -4288.00 M
+42692.00 -4034.00 L
+42148.00 -3781.00 L
+S
+15 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+/ctm_cached x y D
+N
+20194.00 -8274.00 T
+9817.00 15191.00 s
+0 0 1 -68 -112 A
+ctm_cached t
+0 c
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+11023 -14203 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(MCU) h
+0.0 -448.0 m
+(1) h
+0 448.0 m
+(  =) h
+R
+
+S
+11023 -16599 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(MCU) h
+0.0 -448.0 m
+(2) h
+0 448.0 m
+(  =) h
+R
+
+S
+11023 -19090 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(MCU) h
+0.0 -448.0 m
+(3) h
+0 448.0 m
+(  =) h
+R
+
+S
+11023 -21294 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(MCU) h
+0.0 -448.0 m
+(4) h
+0 448.0 m
+(  =) h
+R
+
+S
+16717 -24638 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Cs) h
+0.0 -448.0 m
+(1) h
+0 448.0 m
+( data units) h
+R
+
+S
+25825 -24638 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Cs) h
+0.0 -448.0 m
+(2) h
+0 448.0 m
+( ) h
+R
+
+S
+29852 -24638 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Cs) h
+0.0 -448.0 m
+(3) h
+0 448.0 m
+( ) h
+R
+
+S
+33686 -24638 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Cs) h
+0.0 -448.0 m
+(4) h
+0 448.0 m
+R
+
+N
+S
+16308 -15128 19255 2476 @ I N
+16308 -12652 T
+N
+N
+S
+-574 -2646 20500 3339 @ I N
+-574 693 T
+N
+S
+800 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+1400 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+1400 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(00) h
+R
+
+S
+2400 -2083 M
+/Times-Roman-ISOLatin1 F 800 o f
+( ) h
+R
+
+S
+2700 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+3300 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+3300 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+3800 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+4300 -2099 M
+/Times-Roman-ISOLatin1 F 1000 o f
+( ) h
+R
+
+S
+4600 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+5200 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+5200 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+5700 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+6200 -2099 M
+/Times-Roman-ISOLatin1 F 1000 o f
+( ) h
+R
+
+S
+6500 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+7100 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+7100 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(11) h
+R
+
+S
+8100 -2099 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(   ) h
+R
+
+S
+9000 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+9600 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+9600 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(00) h
+R
+
+S
+10600 -2099 M
+/Times-Roman-ISOLatin1 F 1000 o f
+( ) h
+R
+
+S
+10900 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+11500 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+11500 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+12000 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+12500 -2083 M
+/Times-Roman-ISOLatin1 F 800 o f
+(   ) h
+R
+
+S
+13400 -2178 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+14000 -1476 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+R
+
+S
+14000 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(00) h
+R
+
+S
+15000 -2099 M
+/Times-Roman-ISOLatin1 F 1000 o f
+( ) h
+R
+
+S
+15300 -2178 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+15900 -1476 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+R
+
+S
+15900 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+16400 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+16900 -2099 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(   ) h
+R
+
+S
+17800 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+18400 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(4) h
+R
+
+S
+18400 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(00) h
+R
+
+S
+19400 -2099 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(,) h
+R
+
+R
+
+
+R
+
+
+N
+S
+16377 -17452 19254 2287 @ I N
+16377 -15165 T
+N
+N
+S
+-575 -2476 20500 3339 @ I N
+-575 863 T
+N
+S
+800 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+1400 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+1400 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+1900 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+2400 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+2700 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+3300 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+3300 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(03) h
+R
+
+S
+4300 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+4600 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+5200 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+5200 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+5700 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+6200 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+6500 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+7100 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+7100 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+7600 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+R
+
+S
+8100 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(   ) h
+R
+
+S
+9000 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+9600 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+9600 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+10100 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+10600 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+10900 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+11500 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+11500 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(03) h
+R
+
+S
+12500 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(   ) h
+R
+
+S
+13400 -2178 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+14000 -1476 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+R
+
+S
+14000 -2541 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(0) h
+R
+
+S
+14500 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+15000 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+15300 -2178 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+15900 -1476 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+R
+
+S
+15900 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(11) h
+R
+
+S
+16900 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(   ) h
+R
+
+S
+17800 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+18400 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(4) h
+R
+
+S
+18400 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+18900 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+19400 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(,) h
+R
+
+R
+
+
+R
+
+
+N
+S
+16282 -19949 19447 2391 @ I N
+16282 -17558 T
+N
+N
+S
+-478 -2511 20500 3347 @ I N
+-478 836 T
+N
+S
+800 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+1400 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+1400 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+1900 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(4) h
+R
+
+S
+2400 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+2700 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+3300 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+3300 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+3800 -2533 M
+/Times-Roman-ISOLatin1 F 800 o f
+(5) h
+R
+
+S
+4300 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+4600 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+5200 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+5200 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(14) h
+R
+
+S
+6200 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+6500 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+7100 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+7100 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+7600 -2533 M
+/Times-Roman-ISOLatin1 F 800 o f
+(5) h
+R
+
+S
+8100 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(   ) h
+R
+
+S
+9000 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+9600 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+9600 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+10100 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(4) h
+R
+
+S
+10600 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+10900 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+11500 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+11500 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+12000 -2533 M
+/Times-Roman-ISOLatin1 F 800 o f
+(5) h
+R
+
+S
+12500 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(   ) h
+R
+
+S
+13400 -2178 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+14000 -1476 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+R
+
+S
+14000 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+14500 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+15000 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+15300 -2178 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+15900 -1476 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+R
+
+S
+15900 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(12) h
+R
+
+S
+16900 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(   ) h
+R
+
+S
+17800 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+18400 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(4) h
+R
+
+S
+18400 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+18900 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+19400 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(,) h
+R
+
+R
+
+
+R
+
+
+N
+S
+16282 -22537 19447 2391 @ I N
+16282 -20146 T
+N
+N
+S
+-478 -2440 20500 3347 @ I N
+-478 907 T
+N
+S
+800 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+1400 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+1400 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(20) h
+R
+
+S
+2400 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+2700 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+3300 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+3300 -2541 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(2) h
+R
+
+S
+3800 -2533 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+4300 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+4600 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+5200 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+5200 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(30) h
+R
+
+S
+6200 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+6500 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+7100 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+7100 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+R
+
+S
+7600 -2533 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+8100 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(   ) h
+R
+
+S
+9000 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+9600 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+9600 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+10100 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+10600 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+10900 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+11500 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+11500 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+12000 -2533 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+12500 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(   ) h
+R
+
+S
+13400 -2178 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+14000 -1476 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+R
+
+S
+14000 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+14500 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+15000 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+( ) h
+R
+
+S
+15300 -2178 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+15900 -1476 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+R
+
+S
+15900 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(30) h
+R
+
+S
+16900 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(   ) h
+R
+
+S
+17800 -2179 M
+/Dutch801-Italic-DECmath_Italic F 1000 o f
+(d) h
+R
+
+S
+18400 -1481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(4) h
+R
+
+S
+18400 -2525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+18900 -2534 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+19400 -2099 M
+/Times-Roman-ISOLatin1 F 1200 o f
+(,) h
+R
+
+R
+
+
+R
+
+
+S
+/ctm_cached x y D
+N
+26734.00 -20869.00 T
+2089.00 2274.00 s
+0 0 1 -41 -139 A
+ctm_cached t
+0 c
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+/ctm_cached x y D
+N
+30760.00 -20869.00 T
+2089.00 2274.00 s
+0 0 1 -41 -139 A
+ctm_cached t
+0 c
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+/ctm_cached x y D
+N
+34402.00 -20868.00 T
+1454.00 1988.00 s
+0 0 1 -41 -139 A
+ctm_cached t
+0 c
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+12817 -27196 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Figure 8.  Generalized Interleaved Data Ordering Example) h
+R
+
+R
+
+
+R
+R
+
+S
+30679 -75738 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(9) h
+R
+
+showpage
+$P e
+
+%%Page: 10 10
+/$P a D
+g N
+0 79200 T
+S
+R
+S
+6324 -5315 T
+N
+0 G
+300 -1050 M
+300 -18735 M
+300 -19835 M
+300 -21085 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1200 o f
+473.0 0 32 (7  Baseline and Other DCT Sequential) W
+300 -22385 M
+(Codecs) h
+300 -24135 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+97.0 0 32 (The DCT sequential mode of operation consists of the) W
+300 -25235 M
+135.1 0 32 (FDCT and Quantization steps from section 4, and the) W
+300 -26335 M
+481.0 0 32 (multiple\255component control from section 6.3.  In) W
+300 -27435 M
+182.3 0 32 (addition to the Baseline sequential codec, other DCT) W
+300 -28535 M
+91.4 0 32 (sequential codecs are defined to accommodate the two) W
+300 -29635 M
+70.9 0 32 (different sample precisions \(8 and 12 bits\) and the two) W
+300 -30735 M
+240.7 0 32 (different types of entropy coding methods \(Huffman) W
+300 -31835 M
+(and arithmetic\).) h
+300 -32935 M
+300 -34035 M
+305.1 0 32 (Baseline sequential coding is for images with 8\255bit) W
+300 -35135 M
+67.8 0 32 (samples and uses Huffman coding only.  It also differs) W
+300 -36235 M
+402.5 0 32 (from the other sequential DCT codecs in that its) W
+300 -37335 M
+40.2 0 32 (decoder can store only two sets of Huffman tables \(one) W
+300 -38435 M
+47.1 0 32 (AC table and DC table per set\).  This restriction means) W
+300 -39535 M
+603.1 0 32 (that, for images with three or four interleaved) W
+300 -40635 M
+36.9 0 32 (components, at least one set of Huffman tables must be) W
+300 -41735 M
+149.0 0 32 (shared by two components.  This restriction poses no) W
+300 -42835 M
+106.9 0 32 (limitation at all for noninterleaved components; a new) W
+300 -43935 M
+268.7 0 32 (set of tables can be loaded into the decoder before) W
+300 -45035 M
+(decompression of a noninterleaved component begins.) h
+300 -46135 M
+300 -47235 M
+313.3 0 32 (For many applications which do need to interleave) W
+300 -48335 M
+341.0 0 32 (three color components, this restriction is hardly a) W
+300 -49435 M
+467.9 0 32 (limitation at all.  Color spaces \(YUV, CIELUV,) W
+300 -50535 M
+254.7 0 32 (CIELAB, and others\) which represent the chromatic) W
+300 -51635 M
+398.0 0 32 (\(``color''\) information in two components and the) W
+300 -52735 M
+278.2 0 32 (achromatic \(``grayscale''\) information in a third are) W
+300 -53835 M
+134.9 0 32 (more efficient for compression than spaces like RGB. ) W
+300 -54935 M
+95.9 0 32 (One Huffman table set can be used for the achromatic) W
+300 -56035 M
+162.0 0 32 (component and one for the chrominance components. ) W
+300 -57135 M
+805.3 0 32 (DCT coefficient statistics are similar for the) W
+300 -58235 M
+118.9 0 32 (chrominance components of most images, and one set) W
+300 -59335 M
+41.5 0 32 (of Huffman tables can encode both almost as optimally) W
+300 -60435 M
+(as two.) h
+300 -61535 M
+300 -62635 M
+448.1 0 32 (The committee also felt that early availability of) W
+300 -63735 M
+665.8 0 32 (single\255chip implementations at commodity prices) W
+300 -64835 M
+602.2 0 32 (would encourage early acceptance of the JPEG) W
+300 -65935 M
+203.6 0 32 (proposal in a variety of applications.  In 1988 when) W
+-6324 5315 T
+S
+N
+S
+4614 -23300 26461 16585 @ I N
+4614 -6715 T
+N
+S
+10111 -3956 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Encoding ) h
+R
+
+
+S
+10191 -4798 M
+/Times-Roman-ISOLatin1 F 900 o f
+( ) h
+n 1.111 o f
+(Process) h
+R
+
+S
+3508 -2047 M
+/Times-Roman-ISOLatin1 F 900 o f
+(  ) h
+n 1.111 o f
+(A) h
+R
+
+S
+3573 -4517 M
+/Times-Roman-ISOLatin1 F 900 o f
+(  ) h
+n 1.111 o f
+(B) h
+R
+
+S
+3709 -6861 M
+/Times-Roman-ISOLatin1 F 900 o f
+( ) h
+n 1.111 o f
+(C) h
+R
+
+S
+3690 -2541 1239 1570 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+3690 -4936 1239 1569 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+3690 -7168 1239 1569 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+9629 -5104 4697 2315 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+4995.00 -1881.00 M
+6300.00 -1881.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+4995.00 -4111.00 M
+6300.00 -4111.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+4995.00 -6423.00 M
+6300.00 -6423.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+8970 -10675 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Table) h
+n 0.900 o f
+(      ) h
+n 1.111 o f
+(Table ) h
+R
+
+S
+12189 -12096 3325 2419 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+10543.00 -9759.00 M
+10543.00 -8272.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+13458.00 -9484.00 M
+13458.00 -8269.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+14262.00 -3945.00 M
+17538.00 -3945.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+17054.00 -4199.00 M
+17597.00 -3945.00 L
+17054.00 -3692.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+/ctm_cached x y D
+N
+8425.00 -4192.00 T
+1276.00 1616.00 s
+0 0 1 -133 -227 A
+ctm_cached t
+0 c
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+7064.00 -5064.00 M
+7573.00 -5381.00 L
+7489.00 -4787.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+7469.00 -3594.00 M
+7572.00 -3003.00 L
+7053.00 -3304.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+/ctm_cached x y D
+N
+12140.00 -4725.00 T
+2711.00 3432.00 s
+0 0 1 -61 -119 A
+ctm_cached t
+0 c
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+13156.00 -8199.00 M
+13486.00 -7698.00 L
+12890.00 -7767.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+11389.00 -7778.00 M
+10794.00 -7699.00 L
+11115.00 -8205.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+17720 -4729 5866 1568 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+6168 -2114 M
+/Symbol F 900 o f
+(\267) h
+R
+
+S
+6428 -3104 M
+/Symbol F 900 o f
+(\267) h
+R
+
+S
+10348 -8419 M
+/Symbol F 900 o f
+(\267) h
+R
+
+S
+13282 -8419 M
+/Symbol F 900 o f
+(\267) h
+R
+
+S
+N
+11132.00 -8532.00 M
+12239.00 -6798.00 L
+12239.00 -5180.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+12493.00 -5665.00 M
+12239.00 -5121.00 L
+11986.00 -5665.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6561.00 -2831.00 M
+8194.00 -4069.00 L
+9512.00 -4069.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+9028.00 -4323.00 M
+9571.00 -4069.00 L
+9028.00 -3816.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+10998 -8638 M
+/Symbol F 900 o f
+(\267) h
+R
+
+S
+18883 -10330 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Compressed ) h
+R
+
+S
+18733 -11395 M
+/Times-Roman-ISOLatin1 F 900 o f
+(  ) h
+n 1.111 o f
+(Image Data) h
+R
+
+S
+5462 -14680 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Figure 9.  Component\255Interleave and ) h
+R
+
+S
+3777 -10330 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Source ) h
+R
+
+S
+2549 -11395 M
+/Times-Roman-ISOLatin1 F 900 o f
+(   ) h
+n 1.111 o f
+(Image Data) h
+R
+
+S
+8745 -11663 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Spec. 1 ) h
+R
+
+S
+12506 -11661 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Spec. 2) h
+R
+
+S
+6168 -4371 M
+/Symbol F 900 o f
+(\267) h
+R
+
+S
+6102 -6632 M
+/Symbol F 900 o f
+(\267) h
+R
+
+S
+8427 -12096 3233 2419 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+9584 -15926 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Table\255Switching Control) h
+R
+
+R
+
+
+R
+R
+
+S
+31919 -7157 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+41.5 0 32 (Baseline sequential was defined, the committee's VLSI) W
+300 -2150 M
+43.6 0 32 (experts felt that current technology made the feasibility) W
+300 -3250 M
+126.6 0 32 (of crowding four sets of loadable Huffman tables \255 in) W
+300 -4350 M
+231.2 0 32 (addition to four sets of Quantization tables \255 onto a) W
+300 -5450 M
+983.0 0 32 (single commodity\255priced codec chip a risky) W
+300 -6550 M
+(proposition.) h
+300 -7650 M
+300 -8750 M
+41.7 0 32 (The FDCT, Quantization, DC differencing, and zig\255zag) W
+300 -9850 M
+231.3 0 32 (ordering processing steps for the Baseline sequential) W
+300 -10950 M
+119.4 0 32 (codec proceed just as described in section 4.  Prior to) W
+300 -12050 M
+341.4 0 32 (entropy coding, there usually are few nonzero and) W
+300 -13150 M
+254.1 0 32 (many zero\255valued coefficients.  The task of entropy) W
+300 -14250 M
+158.9 0 32 (coding is to encode these few coefficients efficiently. ) W
+300 -15350 M
+138.7 0 32 (The description of Baseline sequential entropy coding) W
+300 -16450 M
+46.0 0 32 (is given in two steps: conversion of the quantized DCT) W
+300 -17550 M
+157.3 0 32 (coefficients into an intermediate sequence of symbols) W
+300 -18650 M
+638.7 0 32 (and assignment of variable\255length codes to the) W
+300 -19750 M
+(symbols.) h
+300 -20850 M
+300 -21950 M
+/Times-Bold-ISOLatin1 F 1000 o f
+(7.1 Intermediate Entropy Coding Representations) h
+300 -23650 M
+/Times-Roman-ISOLatin1 F 1000 o f
+47.7 0 32 (In the intermediate symbol sequence, each nonzero AC) W
+300 -24750 M
+435.0 0 32 (coefficient is represented in combination with the) W
+300 -25850 M
+128.2 0 32 (``runlength'' \(consecutive number\) of zero\255valued AC) W
+300 -26950 M
+151.1 0 32 (coefficients which precede it in the zig\255zag sequence. ) W
+300 -28050 M
+(Each such runlength/nonzero\255coefficient combination is) h
+300 -29150 M
+(\(usually\) represented by a pair of symbols:) h
+300 -30250 M
+300 -31350 M
+5120 -31350 M
+(symbol\2551) h
+15387 -31350 M
+(symbol\2552) h
+300 -32450 M
+2316 -32450 M
+(\(RUNLENGTH, SIZE\)) h
+14055 -32450 M
+(\(AMPLITUDE\)) h
+300 -33550 M
+300 -34650 M
+677.4 0 32 (Symbol\2551 represents two pieces of information, ) W
+300 -35750 M
+410.8 0 32 (RUNLENGTH and SIZE. Symbol\2552 represents the) W
+300 -36850 M
+166.4 0 32 (single piece of information designated AMPLITUDE,) W
+300 -37950 M
+339.9 0 32 (which is simply the amplitude of the nonzero AC) W
+300 -39050 M
+955.4 0 32 (coefficient. RUNLENGTH is the number of) W
+300 -40150 M
+83.7 0 32 (consecutive zero\255valued AC coefficients in the zig\255zag) W
+300 -41250 M
+167.0 0 32 (sequence preceding the nonzero AC coefficient being) W
+300 -42350 M
+61.7 0 32 (represented. SIZE is the number of bits used to encode) W
+300 -43450 M
+194.1 0 32 (AMPLITUDE \255 that is, to encoded symbol\2552, by the) W
+300 -44550 M
+272.0 0 32 (signed\255integer encoding used with JPEG's particular) W
+300 -45650 M
+(method of Huffman coding. ) h
+300 -46750 M
+300 -47850 M
+127.0 0 32 (RUNLENGTH represents zero\255runs of length 0 to 15.) W
+300 -48950 M
+35.3 0 32 (Actual zero\255runs in the zig\255zag sequence can be greater) W
+300 -50050 M
+66.5 0 32 (than 15, so the symbol\2551 value \(15, 0\) is interpreted as) W
+300 -51150 M
+85.9 0 32 (the extension symbol with runlength=16. There can be) W
+300 -52250 M
+191.0 0 32 (up to three consecutive \(15, 0\) extensions before the) W
+300 -53350 M
+555.0 0 32 (terminating symbol\2551 whose RUNLENGTH value) W
+300 -54450 M
+655.2 0 32 (completes the actual runlength. The terminating) W
+300 -55550 M
+293.1 0 32 (symbol\2551 is always followed by a single symbol\2552,) W
+300 -56650 M
+311.2 0 32 (except for the case in which the last run of zeros) W
+300 -57750 M
+100.6 0 32 (includes the last \(63d\) AC coefficient. In this frequent) W
+300 -58850 M
+34.8 0 32 (case, the special symbol\2551 value \(0,0\) means EOB \(end) W
+300 -59950 M
+129.9 0 32 (of block\), and can be viewed as an ``escape'' symbol) W
+300 -61050 M
+(which terminates the 8x8 sample block.) h
+300 -62150 M
+-31919 7157 T
+R
+
+S
+30392 -75162 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(10) h
+R
+
+showpage
+$P e
+
+%%Page: 11 11
+/$P a D
+g N
+0 79200 T
+S
+R
+S
+6328 -7185 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+375.0 0 32 (Thus, for each 8x8 block of samples, the zig\255zag) W
+300 -2150 M
+805.5 0 32 (sequence of 63 quantized AC coefficients is) W
+300 -3250 M
+458.3 0 32 (represented as a sequence of symbol\2551, symbol\2552) W
+300 -4350 M
+79.4 0 32 (symbol pairs, though each ``pair'' can have repetitions) W
+300 -5450 M
+7.5 0 32 (of symbol\2551 in the case of a long run\255length or only one) W
+300 -6550 M
+(symbol\2551 in the case of an EOB.) h
+300 -7650 M
+300 -8750 M
+518.5 0 32 (The possible range of quantized AC coefficients) W
+300 -9850 M
+575.3 0 32 (determines the range of values which both the) W
+300 -10950 M
+793.8 0 32 (AMPLITUDE and the SIZE information must) W
+300 -12050 M
+388.7 0 32 (represent. A numerical analysis of the 8x8 FDCT) W
+300 -13150 M
+135.0 0 32 (equation shows that, if the 64\255point \(8x8 block\) input) W
+300 -14250 M
+235.8 0 32 (signal contains N\255bit integers, then the nonfractional) W
+300 -15350 M
+7.0 0 32 (part of the output numbers \(DCT coefficients\) can grow) W
+300 -16450 M
+95.5 0 32 (by at most 3 bits. This is also the largest possible size) W
+300 -17550 M
+69.5 0 32 (of a quantized DCT coefficient when its quantizer step) W
+300 -18650 M
+(size has integer value 1.) h
+300 -19750 M
+300 -20850 M
+83.1 0 32 (Baseline sequential has 8\255bit integer source samples in) W
+300 -21950 M
+381.9 0 32 (the range [\2552) W
+n 0.800 o f
+0.0 448.0 m
+381.9 0 32 (7) W
+0 -448.0 m
+n 1.250 o f
+381.9 0 32 (, 2) W
+n 0.800 o f
+0.0 448.0 m
+381.9 0 32 (7) W
+0 -448.0 m
+n 1.250 o f
+381.9 0 32 (\2551], so quantized AC coefficient) W
+300 -23050 M
+132.8 0 32 (amplitudes are covered by integers in the range [\2552) W
+n 0.800 o f
+0.0 448.0 m
+132.8 0 32 (10) W
+0 -448.0 m
+n 1.250 o f
+132.8 0 32 (,) W
+300 -24150 M
+406.4 0 32 (2) W
+n 0.800 o f
+0.0 448.0 m
+406.4 0 32 (10) W
+0 -448.0 m
+n 1.250 o f
+406.4 0 32 (\2551]. The signed\255integer encoding uses symbol\2552) W
+300 -25250 M
+71.9 0 32 (AMPLITUDE codes of 1 to 10 bits in length \(so SIZE) W
+300 -26350 M
+888.7 0 32 (also represents values from 1 to 10\), and) W
+300 -27450 M
+416.6 0 32 (RUNLENGTH represents values from 0 to 15 as) W
+300 -28550 M
+36.8 0 32 (discussed previously. For AC coefficients, the structure) W
+300 -29650 M
+1027.2 0 32 (of the symbol\2551 and symbol\2552 intermediate) W
+300 -30750 M
+547.3 0 32 (representations is illustrated in Tables 2 and 3,) W
+300 -31850 M
+(respectively.) h
+300 -32950 M
+300 -34050 M
+379.7 0 32 (The intermediate representation for an 8x8 sample) W
+300 -35150 M
+694.4 0 32 (block's differential DC coefficient is structured) W
+300 -36250 M
+310.6 0 32 (similarly. Symbol\2551, however, represents only SIZE) W
+300 -37350 M
+1027.0 0 32 (information; symbol\2552 represents AMPLITUDE) W
+300 -38450 M
+(information as before:) h
+300 -39550 M
+300 -40650 M
+3437 -40650 M
+(symbol\2551) h
+13467 -40650 M
+(symbol\2552) h
+300 -41750 M
+3938 -41750 M
+(\(SIZE\)) h
+12135 -41750 M
+(\(AMPLITUDE\)) h
+300 -42850 M
+300 -43950 M
+63.6 0 32 (Because the DC coefficient is differentially encoded, it) W
+300 -45050 M
+323.6 0 32 (is covered by twice as many integer values, [\2552) W
+n 0.800 o f
+0.0 448.0 m
+323.6 0 32 (11) W
+0 -448.0 m
+n 1.250 o f
+323.6 0 32 (,) W
+300 -46150 M
+167.3 0 32 (2) W
+n 0.800 o f
+0.0 448.0 m
+167.3 0 32 (11) W
+0 -448.0 m
+n 1.250 o f
+167.3 0 32 (\2551] as the AC coefficients, so one additional level) W
+300 -47250 M
+366.4 0 32 (must be added to the bottom of Table 3 for DC) W
+300 -48350 M
+688.6 0 32 (coefficients. Symbol\2551 for DC coefficients thus) W
+300 -49450 M
+(represents a value from 1 to 11.) h
+-6328 7185 T
+S
+N
+S
+6152 -71270 23393 14285 @ I N
+6152 -56985 T
+N
+S
+9077 -3333 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(0      1      2     . . .     9      10) h
+R
+
+
+
+S
+1502 -7064 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(RUN) h
+R
+
+S
+6918 -4947 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(0) h
+R
+
+S
+6918 -6258 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(.) h
+R
+
+S
+6918 -7568 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(.) h
+R
+
+S
+6918 -8879 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(.) h
+R
+
+S
+6918 -10191 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(15) h
+R
+
+S
+9122 -6258 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(X) h
+R
+
+S
+9122 -7568 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(X) h
+R
+
+S
+9122 -8879 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(X) h
+R
+
+S
+8548 -4947 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(EOB) h
+R
+
+S
+8548 -10191 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(ZRL) h
+R
+
+S
+13199 -7064 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(RUN\255SIZE) h
+R
+
+S
+14061 -8071 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(values) h
+R
+
+S
+1502 -8071 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(LENGTH) h
+R
+
+S
+1166 -10594 20612 9500 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+1213.00 -3787.00 M
+21826.00 -3787.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+4762 -12349 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Table 2.  Baseline Huffman Coding) h
+R
+
+S
+8693 -13669 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Symbol\2551 Structure ) h
+R
+
+S
+15084 -2303 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(SIZE) h
+R
+
+S
+N
+6215.00 -1174.00 M
+6215.00 -10570.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+R
+
+
+R
+R
+
+S
+31919 -7195 T
+N
+0 G
+300 -1050 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1000 o f
+(7.2  Variable\255Length Entropy Coding) h
+300 -2750 M
+/Times-Roman-ISOLatin1 F 1000 o f
+58.8 0 32 (Once the quantized coefficient data for an 8x8 block is) W
+300 -3850 M
+594.4 0 32 (represented in the intermediate symbol sequence) W
+300 -4950 M
+294.8 0 32 (described above, variable\255length codes are assigned. ) W
+300 -6050 M
+52.0 0 32 (For each 8x8 block, the DC coefficient's symbol\2551 and) W
+300 -7150 M
+(symbol\2552 representation is coded and output first.) h
+300 -8250 M
+300 -9350 M
+232.4 0 32 (For both DC and AC coefficients, each symbol\2551 is) W
+300 -10450 M
+194.6 0 32 (encoded with a variable\255length code \(VLC\) from the) W
+300 -11550 M
+180.4 0 32 (Huffman table set assigned to the 8x8 block's image) W
+300 -12650 M
+571.1 0 32 (component.  Each symbol\2552 is encoded with a) W
+300 -13750 M
+194.7 0 32 (\026) W
+194.7 0 32 (variable\255length integer) W
+194.7 0 32 (\027) W
+194.7 0 32 ( \(VLI\) code whose length in) W
+300 -14850 M
+11.4 0 32 (bits is given in Table 3.  VLCs and VLIs both are codes) W
+300 -15950 M
+41.6 0 32 (with variable lengths, but VLIs are not Huffman codes. ) W
+300 -17050 M
+187.8 0 32 (An important distinction is that the length of a VLC) W
+300 -18150 M
+160.2 0 32 (\(Huffman code\) is not known until it is decoded, but) W
+300 -19250 M
+(the length of a VLI is stored in its preceding VLC.) h
+300 -20350 M
+300 -21450 M
+59.6 0 32 (Huffman codes \(VLCs\) must be specified externally as) W
+300 -22550 M
+235.9 0 32 (an input to JPEG encoders.  \(Note that the form in) W
+300 -23650 M
+401.0 0 32 (which Huffman tables are represented in the data) W
+300 -24750 M
+400.6 0 32 (stream is an indirect specification with which the) W
+300 -25850 M
+170.4 0 32 (decoder must construct the tables themselves prior to) W
+300 -26950 M
+467.3 0 32 (decompression.\)  The JPEG proposal includes an) W
+300 -28050 M
+10.3 0 32 (example set of Huffman tables in its information annex,) W
+300 -29150 M
+227.0 0 32 (but because they are application\255specific, it specifies) W
+300 -30250 M
+100.2 0 32 (none for required use.  The VLI codes in contrast, are) W
+300 -31350 M
+289.6 0 32 (\026) W
+289.6 0 32 (hardwired) W
+289.6 0 32 (\027) W
+289.6 0 32 ( into the proposal.  This is appropriate,) W
+300 -32450 M
+105.3 0 32 (because the VLI codes are far more numerous, can be) W
+300 -33550 M
+79.9 0 32 (computed rather than stored, and have not been shown) W
+300 -34650 M
+99.3 0 32 (to be appreciably more efficient when implemented as) W
+300 -35750 M
+(Huffman codes.) h
+300 -36850 M
+300 -37950 M
+/Times-Bold-ISOLatin1 F 1000 o f
+(7.3 Baseline Encoding Example) h
+300 -39650 M
+/Times-Roman-ISOLatin1 F 1000 o f
+43.4 0 32 (This section gives an example of Baseline compression) W
+300 -40750 M
+47.1 0 32 (and encoding of a single 8x8 sample block. Note that a) W
+300 -41850 M
+3.0 0 32 (good deal of the operation of a complete JPEG Baseline) W
+300 -42950 M
+708.2 0 32 (encoder is omitted here, including creation of) W
+300 -44050 M
+208.8 0 32 (Interchange Format information \(parameters, headers,) W
+300 -45150 M
+777.5 0 32 (quantization and Huffman tables\), byte\255stuffing,) W
+300 -46250 M
+52.1 0 32 (padding to byte\255boundaries prior to a marker code, and) W
+300 -47350 M
+64.5 0 32 (other key operations. Nonetheless, this example should) W
+300 -48450 M
+638.9 0 32 (help to make concrete much of the foregoing) W
+300 -49550 M
+(explanation.) h
+300 -50650 M
+300 -51750 M
+524.0 0 32 (Figure 10\(a\) is an 8x8 block of 8\255bit samples,) W
+300 -52850 M
+389.0 0 32 (aribtrarily extracted from a real image. The small) W
+300 -53950 M
+703.3 0 32 (variations from sample to sample indicate the) W
+300 -55050 M
+722.4 0 32 (predominance of low spatial frequencies. After) W
+300 -56150 M
+345.3 0 32 (subtracting 128 from each sample for the required) W
+300 -57250 M
+457.8 0 32 (level\255shift, the 8x8 block is input to the FDCT,) W
+300 -58350 M
+17.4 0 32 (equation \(1\). Figure 10\(b\) shows \(to one decimal place\)) W
+300 -59450 M
+68.0 0 32 (the resulting DCT coefficients. Except for a few of the) W
+300 -60550 M
+97.3 0 32 (lowest frequency coefficients, the amplitudes are quite) W
+300 -61650 M
+(small.) h
+300 -62750 M
+-31919 7195 T
+R
+
+S
+30392 -75642 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(11) h
+R
+
+showpage
+$P e
+
+%%Page: 12 12
+/$P a D
+g N
+0 79200 T
+S
+S
+7200 -2700 T
+N
+0 G
+300 -1200 M
+-7200 2700 T
+R
+
+S
+7200 -74700 T
+N
+0 G
+300 -1200 M
+-7200 74700 T
+R
+
+R
+S
+7070 -42751 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+236.4 0 32 (Figure 10\(c\) is the example quantization table for) W
+300 -2150 M
+264.4 0 32 (luminance \(grayscale\) components included in the) W
+300 -3250 M
+101.6 0 32 (informational annex of the draft JPEG standard part) W
+300 -4350 M
+486.3 0 32 (1 [2]. Figure 10\(d\) shows the quantized DCT) W
+300 -5450 M
+214.4 0 32 (coefficients, normalized by their quantization table) W
+300 -6550 M
+106.4 0 32 (entries, as specified by equation \(3\). At the decoder) W
+300 -7650 M
+487.0 0 32 (these numbers are ) W
+487.0 0 32 (\026) W
+487.0 0 32 (denormalized) W
+487.0 0 32 (\027) W
+487.0 0 32 ( according to) W
+300 -8750 M
+206.8 0 32 (equation \(4\), and input to the IDCT, equation \(2\).) W
+300 -9850 M
+90.7 0 32 (Finally, figure 10\(f\) shows the reconstructed sample) W
+300 -10950 M
+(values, remarkably similar to the originals in 10\(a\). ) h
+300 -12050 M
+300 -13150 M
+331.9 0 32 (Of course, the numbers in figure 10\(d\) must be) W
+300 -14250 M
+893.0 0 32 (Huffman\255encoded before transmission to the) W
+300 -15350 M
+26.7 0 32 (decoder. The first number of the block to be encoded) W
+300 -16450 M
+541.7 0 32 (is the DC term, which must be differentially) W
+300 -17550 M
+172.3 0 32 (encoded. If the quantized DC term of the previous) W
+300 -18650 M
+115.1 0 32 (block is, for example, 12, then the difference is +3.) W
+300 -19750 M
+234.3 0 32 (Thus, the intermediate representation is \(2\)\(3\), for) W
+300 -20850 M
+(SIZE=2 and AMPLITUDE=3.) h
+300 -21950 M
+300 -23050 M
+46.3 0 32 (Next, the the quantized AC coefficients are encoded.) W
+300 -24150 M
+488.8 0 32 (Following the zig\255zag order, the first non\255zero) W
+300 -25250 M
+153.3 0 32 (coefficient is \2552, preceded by a zero\255run of 1. This) W
+300 -26350 M
+342.4 0 32 (yields an intermediate representation of \(1,2\)\(\2552\).) W
+300 -27450 M
+371.9 0 32 (Next encountered in the zig\255zag order are three) W
+300 -28550 M
+174.0 0 32 (consecutive non\255zeros of amplitude \2551. This means) W
+-7070 42751 T
+R
+
+S
+32037 -42745 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+200.0 0 32 (each is preceded by a zero\255run of length zero, for) W
+300 -2150 M
+342.6 0 32 (intermediate symbols \(0,1\)\(\2551\). The last non\255zero) W
+300 -3250 M
+47.9 0 32 (coefficient is \2551 preceded by two zeros, for \(2,1\)\(\2551\).) W
+300 -4350 M
+33.6 0 32 (Because this is the last non\255zero coefficient, the final) W
+300 -5450 M
+(symbol representing this 8x8 block is EOB, or \(0,0\).) h
+300 -6550 M
+300 -7650 M
+113.6 0 32 (Thus, the intermediate sequence of symbols for this) W
+300 -8750 M
+(example 8x8 block is: ) h
+300 -9850 M
+2100 -10950 M
+(\(2\)\(3\),   \(1,2\)\(\2552\),   \(0,1\)\(\2551\),   \(0,1\)\(\2551\),) h
+2100 -12050 M
+(\(0,1\)\(\2551\),   \(2,1\)\(\2551\),   \(0,0\)) h
+2100 -13150 M
+300 -14250 M
+19.4 0 32 (Next the codes themselves must be assigned. For this) W
+300 -15350 M
+498.5 0 32 (example, the VLCs \(Huffman codes\) from the) W
+300 -16450 M
+534.3 0 32 (informational annex of [2] will be used. The) W
+300 -17550 M
+(differential\255DC VLC for this example is: ) h
+300 -18650 M
+2100 -19750 M
+( \(2\)) h
+5744 -19750 M
+( 011) h
+300 -20850 M
+300 -21950 M
+(The AC luminance VLCs for this example are:) h
+300 -23050 M
+2100 -24150 M
+(\(0,0\)) h
+5763 -24150 M
+(1010) h
+2100 -25250 M
+(\(0,1\)) h
+5763 -25250 M
+(00) h
+2100 -26350 M
+(\(1,2\) ) h
+5763 -26350 M
+(11011) h
+2100 -27450 M
+(\(2,1\)) h
+5763 -27450 M
+(11100) h
+300 -28550 M
+-32037 42745 T
+R
+
+S
+7094 -5224 T
+N
+S
+0 -39599 46978 39599 @
+R
+0 G
+300 -1050 M
+300 -38493 M
+S
+0 -39599 46978 39599 @
+R
+-7094 5224 T
+S
+N
+S
+5226 -42671 50715 36047 @ I N
+5226 -6624 T
+N
+S
+1666 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(139) h
+R
+
+
+
+S
+1666 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(144) h
+R
+
+S
+1666 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(150) h
+R
+
+S
+1666 -6778 M
+/Times-Roman-ISOLatin1 F 800 o f
+(159) h
+R
+
+S
+1666 -8380 M
+/Times-Roman-ISOLatin1 F 800 o f
+(159) h
+R
+
+S
+1666 -9980 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+1666 -11579 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+1666 -13095 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+3635 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(144) h
+R
+
+S
+5536 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(149) h
+R
+
+S
+7438 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(153) h
+R
+
+S
+9408 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(155) h
+R
+
+S
+11242 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(155) h
+R
+
+S
+13143 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(155) h
+R
+
+S
+15045 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(155) h
+R
+
+S
+3635 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(151) h
+R
+
+S
+3635 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(155) h
+R
+
+S
+3635 -6778 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+3635 -8380 M
+/Times-Roman-ISOLatin1 F 800 o f
+(160) h
+R
+
+S
+3635 -9980 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+3635 -11579 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+3635 -13095 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+5536 -3750 M
+/Times-Roman-ISOLatin1 F 800 o f
+(153) h
+R
+
+S
+5536 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(160) h
+R
+
+S
+5536 -6779 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+5536 -8296 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+5536 -9982 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+5536 -11581 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+5536 -13096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+7438 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+7438 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(163) h
+R
+
+S
+7438 -6779 M
+/Times-Roman-ISOLatin1 F 800 o f
+(160) h
+R
+
+S
+7438 -8381 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+7438 -9898 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+7438 -11581 M
+/Times-Roman-ISOLatin1 F 800 o f
+(163) h
+R
+
+S
+7438 -13096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+9408 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(159) h
+R
+
+S
+9408 -5262 M
+/Times-Roman-ISOLatin1 F 800 o f
+(158) h
+R
+
+S
+9408 -6779 M
+/Times-Roman-ISOLatin1 F 800 o f
+(160) h
+R
+
+S
+9408 -8381 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+9408 -9982 M
+/Times-Roman-ISOLatin1 F 800 o f
+(160) h
+R
+
+S
+9408 -11581 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+9408 -13096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(163) h
+R
+
+S
+11242 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+11242 -5262 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+11242 -6781 M
+/Times-Roman-ISOLatin1 F 800 o f
+(159) h
+R
+
+S
+11242 -8381 M
+/Times-Roman-ISOLatin1 F 800 o f
+(155) h
+R
+
+S
+11242 -9982 M
+/Times-Roman-ISOLatin1 F 800 o f
+(157) h
+R
+
+S
+11242 -11582 M
+/Times-Roman-ISOLatin1 F 800 o f
+(157) h
+R
+
+S
+11242 -13013 M
+/Times-Roman-ISOLatin1 F 800 o f
+(158) h
+R
+
+S
+13143 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+13143 -5262 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+13143 -6779 M
+/Times-Roman-ISOLatin1 F 800 o f
+(159) h
+R
+
+S
+13143 -8381 M
+/Times-Roman-ISOLatin1 F 800 o f
+(155) h
+R
+
+S
+13143 -9981 M
+/Times-Roman-ISOLatin1 F 800 o f
+(157) h
+R
+
+S
+13143 -11581 M
+/Times-Roman-ISOLatin1 F 800 o f
+(157) h
+R
+
+S
+13143 -13096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(158) h
+R
+
+S
+15045 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+15045 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+15045 -6778 M
+/Times-Roman-ISOLatin1 F 800 o f
+(159) h
+R
+
+S
+15045 -8294 M
+/Times-Roman-ISOLatin1 F 800 o f
+(155) h
+R
+
+S
+15045 -9980 M
+/Times-Roman-ISOLatin1 F 800 o f
+(157) h
+R
+
+S
+15045 -11579 M
+/Times-Roman-ISOLatin1 F 800 o f
+(157) h
+R
+
+S
+15045 -13095 M
+/Times-Roman-ISOLatin1 F 800 o f
+(158) h
+R
+
+S
+17966 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(235.6) h
+R
+
+
+S
+18093 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\25522.6) h
+R
+
+S
+18093 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\25510.9) h
+R
+
+S
+18541 -6778 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2557.1) h
+R
+
+S
+18541 -8380 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.6) h
+R
+
+S
+18796 -9980 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.8) h
+R
+
+S
+18605 -11579 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2551.3) h
+R
+
+S
+18541 -13095 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2552.6) h
+R
+
+S
+20446 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2551.0) h
+R
+
+S
+21901 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\25512.1) h
+R
+
+S
+24058 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2555.2) h
+R
+
+S
+26156 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2.1) h
+R
+
+S
+27669 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2551.7) h
+R
+
+S
+29443 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2552.7) h
+R
+
+S
+31473 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.3) h
+R
+
+S
+19999 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\25517.5) h
+R
+
+S
+20446 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2559.3) h
+R
+
+S
+20446 -6778 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2551.9) h
+R
+
+S
+20446 -8380 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.8) h
+R
+
+S
+20446 -9980 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.2) h
+R
+
+S
+20446 -11579 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.4) h
+R
+
+S
+20702 -13095 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.6) h
+R
+
+S
+22284 -3750 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2556.2) h
+R
+
+S
+22284 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2551.6) h
+R
+
+S
+22540 -6779 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0.2) h
+R
+
+S
+22539 -8296 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.5) h
+R
+
+S
+22540 -9982 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.6) h
+R
+
+S
+22284 -11581 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.3) h
+R
+
+S
+22284 -13096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2553.8) h
+R
+
+S
+24058 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2553.2) h
+R
+
+S
+24314 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.5) h
+R
+
+S
+24314 -6779 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.5) h
+R
+
+S
+24314 -8381 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.6) h
+R
+
+S
+24058 -9898 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.3) h
+R
+
+S
+24058 -11581 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2551.5) h
+R
+
+S
+24058 -13096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2551.8) h
+R
+
+S
+25836 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2552.9) h
+R
+
+S
+26092 -5262 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0.2) h
+R
+
+S
+26156 -6779 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0.9) h
+R
+
+S
+25836 -8381 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.1) h
+R
+
+S
+25836 -9982 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.8) h
+R
+
+S
+25836 -11581 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.5) h
+R
+
+S
+26156 -13096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.9) h
+R
+
+S
+27669 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.1) h
+R
+
+S
+27670 -5262 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.9) h
+R
+
+S
+27670 -6781 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.1) h
+R
+
+S
+27669 -8381 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.7) h
+R
+
+S
+27925 -9982 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.5) h
+R
+
+S
+27925 -11582 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.7) h
+R
+
+S
+27925 -13013 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.2) h
+R
+
+S
+29699 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0.4) h
+R
+
+S
+29443 -5262 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.6) h
+R
+
+S
+29699 -6779 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0.0) h
+R
+
+S
+29699 -8381 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0.6) h
+R
+
+S
+29699 -9981 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.0) h
+R
+
+S
+29699 -11581 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.1) h
+R
+
+S
+29443 -13096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.6) h
+R
+
+S
+31218 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2551.2) h
+R
+
+S
+31218 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.1) h
+R
+
+S
+31473 -6778 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0.3) h
+R
+
+S
+31473 -8294 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1.3) h
+R
+
+S
+31217 -9980 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2551.0) h
+R
+
+S
+31218 -11579 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.8) h
+R
+
+S
+31218 -13095 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2550.4) h
+R
+
+S
+3031 -15447 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(a\)    source image samples) h
+R
+
+S
+19330 -15381 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(b\)   forward DCT coefficients) h
+R
+
+S
+34456 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(16) h
+R
+
+
+S
+34456 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(12) h
+R
+
+S
+34456 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(14) h
+R
+
+S
+34456 -6778 M
+/Times-Roman-ISOLatin1 F 800 o f
+(14) h
+R
+
+S
+34456 -8380 M
+/Times-Roman-ISOLatin1 F 800 o f
+(18) h
+R
+
+S
+34456 -9980 M
+/Times-Roman-ISOLatin1 F 800 o f
+(24) h
+R
+
+S
+34456 -11579 M
+/Times-Roman-ISOLatin1 F 800 o f
+(49) h
+R
+
+S
+34456 -13095 M
+/Times-Roman-ISOLatin1 F 800 o f
+(72) h
+R
+
+S
+36425 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(11) h
+R
+
+S
+38326 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(10) h
+R
+
+S
+40228 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(16) h
+R
+
+S
+42198 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(24) h
+R
+
+S
+44032 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(40) h
+R
+
+S
+45933 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(51) h
+R
+
+S
+47835 -2062 M
+/Times-Roman-ISOLatin1 F 800 o f
+(61) h
+R
+
+S
+36425 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(12) h
+R
+
+S
+36425 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(13) h
+R
+
+S
+36425 -6778 M
+/Times-Roman-ISOLatin1 F 800 o f
+(17) h
+R
+
+S
+36425 -8380 M
+/Times-Roman-ISOLatin1 F 800 o f
+(22) h
+R
+
+S
+36425 -9980 M
+/Times-Roman-ISOLatin1 F 800 o f
+(35) h
+R
+
+S
+36425 -11579 M
+/Times-Roman-ISOLatin1 F 800 o f
+(64) h
+R
+
+S
+36425 -13095 M
+/Times-Roman-ISOLatin1 F 800 o f
+(92) h
+R
+
+S
+38326 -3750 M
+/Times-Roman-ISOLatin1 F 800 o f
+(14) h
+R
+
+S
+38326 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(16) h
+R
+
+S
+38326 -6779 M
+/Times-Roman-ISOLatin1 F 800 o f
+(22) h
+R
+
+S
+38326 -8296 M
+/Times-Roman-ISOLatin1 F 800 o f
+(37) h
+R
+
+S
+38326 -9982 M
+/Times-Roman-ISOLatin1 F 800 o f
+(55) h
+R
+
+S
+38326 -11581 M
+/Times-Roman-ISOLatin1 F 800 o f
+(78) h
+R
+
+S
+38326 -13096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(95) h
+R
+
+S
+40228 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(19) h
+R
+
+S
+40228 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(24) h
+R
+
+S
+40228 -6779 M
+/Times-Roman-ISOLatin1 F 800 o f
+(29) h
+R
+
+S
+40228 -8381 M
+/Times-Roman-ISOLatin1 F 800 o f
+(56) h
+R
+
+S
+40228 -9898 M
+/Times-Roman-ISOLatin1 F 800 o f
+(64) h
+R
+
+S
+40228 -11581 M
+/Times-Roman-ISOLatin1 F 800 o f
+(87) h
+R
+
+S
+40228 -13096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(98) h
+R
+
+S
+42198 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(26) h
+R
+
+S
+42198 -5262 M
+/Times-Roman-ISOLatin1 F 800 o f
+(40) h
+R
+
+S
+42198 -6779 M
+/Times-Roman-ISOLatin1 F 800 o f
+(51) h
+R
+
+S
+42198 -8381 M
+/Times-Roman-ISOLatin1 F 800 o f
+(68) h
+R
+
+S
+42198 -9982 M
+/Times-Roman-ISOLatin1 F 800 o f
+(81) h
+R
+
+S
+42198 -11581 M
+/Times-Roman-ISOLatin1 F 800 o f
+(103) h
+R
+
+S
+42198 -13096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(112) h
+R
+
+S
+44032 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(58) h
+R
+
+S
+44032 -5262 M
+/Times-Roman-ISOLatin1 F 800 o f
+(57) h
+R
+
+S
+44032 -6781 M
+/Times-Roman-ISOLatin1 F 800 o f
+(87) h
+R
+
+S
+44032 -8381 M
+/Times-Roman-ISOLatin1 F 800 o f
+(109) h
+R
+
+S
+44032 -9982 M
+/Times-Roman-ISOLatin1 F 800 o f
+(104) h
+R
+
+S
+44032 -11582 M
+/Times-Roman-ISOLatin1 F 800 o f
+(121) h
+R
+
+S
+44032 -13013 M
+/Times-Roman-ISOLatin1 F 800 o f
+(100) h
+R
+
+S
+45933 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(60) h
+R
+
+S
+45933 -5262 M
+/Times-Roman-ISOLatin1 F 800 o f
+(69) h
+R
+
+S
+45933 -6779 M
+/Times-Roman-ISOLatin1 F 800 o f
+(80) h
+R
+
+S
+45933 -8381 M
+/Times-Roman-ISOLatin1 F 800 o f
+(103) h
+R
+
+S
+45933 -9981 M
+/Times-Roman-ISOLatin1 F 800 o f
+(113) h
+R
+
+S
+45933 -11581 M
+/Times-Roman-ISOLatin1 F 800 o f
+(120) h
+R
+
+S
+45933 -13096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(103) h
+R
+
+S
+47835 -3662 M
+/Times-Roman-ISOLatin1 F 800 o f
+(55) h
+R
+
+S
+47835 -5261 M
+/Times-Roman-ISOLatin1 F 800 o f
+(56) h
+R
+
+S
+47835 -6778 M
+/Times-Roman-ISOLatin1 F 800 o f
+(62) h
+R
+
+S
+47835 -8294 M
+/Times-Roman-ISOLatin1 F 800 o f
+(77) h
+R
+
+S
+47835 -9980 M
+/Times-Roman-ISOLatin1 F 800 o f
+(92) h
+R
+
+S
+47835 -11579 M
+/Times-Roman-ISOLatin1 F 800 o f
+(101) h
+R
+
+S
+47835 -13095 M
+/Times-Roman-ISOLatin1 F 800 o f
+(99) h
+R
+
+S
+37419 -15381 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(c\)  quantization table) h
+R
+
+S
+1668 -18096 M
+/Times-Roman-ISOLatin1 F 798 o f
+(15) h
+R
+
+
+S
+1668 -19695 M
+/Times-Roman-ISOLatin1 F 796 o f
+(\2552) h
+R
+
+S
+1668 -21296 M
+/Times-Roman-ISOLatin1 F 796 o f
+(\2551) h
+R
+
+S
+1858 -22812 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+1858 -24412 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+1858 -26013 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+1858 -27613 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+1858 -29130 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+3827 -18096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+5536 -18096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2551) h
+R
+
+S
+7630 -18096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+9600 -18096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+11434 -18096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+13335 -18096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+15237 -18096 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+3635 -19695 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2551) h
+R
+
+S
+3635 -21296 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\2551) h
+R
+
+S
+3827 -22812 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+3827 -24412 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+3827 -26013 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+3827 -27613 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+3827 -29130 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+5728 -19781 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+5728 -21296 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+5728 -22813 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+5728 -24330 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+5728 -26015 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+5728 -27614 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+5728 -29131 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+7630 -19695 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+7630 -21296 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+7630 -22813 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+7630 -24413 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+7630 -25928 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+7630 -27614 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+7630 -29131 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+9600 -19695 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+9600 -21297 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+9600 -22813 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+9600 -24413 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+9600 -26015 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+9600 -27614 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+9600 -29131 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+11434 -19695 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+11434 -21297 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+11434 -22814 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+11434 -24413 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+11434 -26015 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+11434 -27615 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+11434 -29045 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+13335 -19695 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+13335 -21297 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+13335 -22813 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+13335 -24413 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+13335 -26014 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+13335 -27614 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+13335 -29131 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+15237 -19695 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+15237 -21296 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+15237 -22812 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+15237 -24329 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+15237 -26013 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+15237 -27613 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+15237 -29130 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+3927 -31436 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(d\)  normalized quantized) h
+R
+
+S
+19139 -31500 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(e\)  denormalized quantized) h
+R
+
+S
+34201 -18169 M
+/Times-Roman-ISOLatin1 F 800 o f
+(144) h
+R
+
+
+S
+34201 -19770 M
+/Times-Roman-ISOLatin1 F 800 o f
+(148) h
+R
+
+S
+34201 -21372 M
+/Times-Roman-ISOLatin1 F 800 o f
+(155) h
+R
+
+S
+34201 -22887 M
+/Times-Roman-ISOLatin1 F 800 o f
+(160) h
+R
+
+S
+34201 -24488 M
+/Times-Roman-ISOLatin1 F 800 o f
+(163) h
+R
+
+S
+34201 -26088 M
+/Times-Roman-ISOLatin1 F 800 o f
+(163) h
+R
+
+S
+34201 -27688 M
+/Times-Roman-ISOLatin1 F 800 o f
+(160) h
+R
+
+S
+34201 -29204 M
+/Times-Roman-ISOLatin1 F 800 o f
+(158) h
+R
+
+S
+36170 -18169 M
+/Times-Roman-ISOLatin1 F 800 o f
+(146) h
+R
+
+S
+38071 -18169 M
+/Times-Roman-ISOLatin1 F 800 o f
+(149) h
+R
+
+S
+39973 -18169 M
+/Times-Roman-ISOLatin1 F 800 o f
+(152) h
+R
+
+S
+41943 -18169 M
+/Times-Roman-ISOLatin1 F 800 o f
+(154) h
+R
+
+S
+43777 -18169 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+45678 -18169 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+47580 -18169 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+36170 -19770 M
+/Times-Roman-ISOLatin1 F 800 o f
+(150) h
+R
+
+S
+36170 -21372 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+36170 -22887 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+36170 -24488 M
+/Times-Roman-ISOLatin1 F 800 o f
+(163) h
+R
+
+S
+36170 -26088 M
+/Times-Roman-ISOLatin1 F 800 o f
+(164) h
+R
+
+S
+36170 -27688 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+36170 -29204 M
+/Times-Roman-ISOLatin1 F 800 o f
+(159) h
+R
+
+S
+38071 -19856 M
+/Times-Roman-ISOLatin1 F 800 o f
+(152) h
+R
+
+S
+38071 -21372 M
+/Times-Roman-ISOLatin1 F 800 o f
+(157) h
+R
+
+S
+38071 -22888 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+38071 -24405 M
+/Times-Roman-ISOLatin1 F 800 o f
+(164) h
+R
+
+S
+38071 -26090 M
+/Times-Roman-ISOLatin1 F 800 o f
+(164) h
+R
+
+S
+38071 -27689 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+38071 -29206 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+39973 -19770 M
+/Times-Roman-ISOLatin1 F 800 o f
+(154) h
+R
+
+S
+39973 -21372 M
+/Times-Roman-ISOLatin1 F 800 o f
+(158) h
+R
+
+S
+39973 -22888 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+39973 -24489 M
+/Times-Roman-ISOLatin1 F 800 o f
+(163) h
+R
+
+S
+39973 -26003 M
+/Times-Roman-ISOLatin1 F 800 o f
+(164) h
+R
+
+S
+39973 -27689 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+39973 -29206 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+41943 -19770 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+41943 -21373 M
+/Times-Roman-ISOLatin1 F 800 o f
+(158) h
+R
+
+S
+41943 -22888 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+41943 -24489 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+41943 -26090 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+41943 -27689 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+41943 -29206 M
+/Times-Roman-ISOLatin1 F 800 o f
+(162) h
+R
+
+S
+43777 -19770 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+43777 -21373 M
+/Times-Roman-ISOLatin1 F 800 o f
+(157) h
+R
+
+S
+43777 -22889 M
+/Times-Roman-ISOLatin1 F 800 o f
+(159) h
+R
+
+S
+43777 -24489 M
+/Times-Roman-ISOLatin1 F 800 o f
+(160) h
+R
+
+S
+43777 -26090 M
+/Times-Roman-ISOLatin1 F 800 o f
+(160) h
+R
+
+S
+43777 -27690 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+43777 -29122 M
+/Times-Roman-ISOLatin1 F 800 o f
+(161) h
+R
+
+S
+45678 -19770 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+45678 -21373 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+45678 -22888 M
+/Times-Roman-ISOLatin1 F 800 o f
+(157) h
+R
+
+S
+45678 -24489 M
+/Times-Roman-ISOLatin1 F 800 o f
+(158) h
+R
+
+S
+45678 -26089 M
+/Times-Roman-ISOLatin1 F 800 o f
+(158) h
+R
+
+S
+45678 -27689 M
+/Times-Roman-ISOLatin1 F 800 o f
+(159) h
+R
+
+S
+45678 -29206 M
+/Times-Roman-ISOLatin1 F 800 o f
+(159) h
+R
+
+S
+47580 -19770 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+47580 -21372 M
+/Times-Roman-ISOLatin1 F 800 o f
+(155) h
+R
+
+S
+47580 -22887 M
+/Times-Roman-ISOLatin1 F 800 o f
+(155) h
+R
+
+S
+47580 -24402 M
+/Times-Roman-ISOLatin1 F 800 o f
+(156) h
+R
+
+S
+47580 -26088 M
+/Times-Roman-ISOLatin1 F 800 o f
+(157) h
+R
+
+S
+47580 -27688 M
+/Times-Roman-ISOLatin1 F 800 o f
+(158) h
+R
+
+S
+47580 -29204 M
+/Times-Roman-ISOLatin1 F 800 o f
+(158) h
+R
+
+S
+34861 -31630 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(f\)  reconstructed image samples) h
+R
+
+S
+16167 -34835 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Figure 10.    DCT and Quantization Examples) h
+R
+
+S
+17704 -17741 M
+/Times-Roman-ISOLatin1 F 800 o f
+(240) h
+R
+
+
+S
+17703 -19304 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\25524) h
+R
+
+S
+17703 -20869 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\25514) h
+R
+
+S
+18087 -22350 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+18087 -23914 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+18087 -25479 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+18087 -27042 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+18087 -28525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+20056 -17741 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+21573 -17741 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\25510) h
+R
+
+S
+23859 -17741 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+25829 -17741 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+27663 -17741 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+29564 -17741 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+31466 -17741 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+19672 -19304 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\25512) h
+R
+
+S
+19672 -20869 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\25513) h
+R
+
+S
+20056 -22350 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+20056 -23914 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+20056 -25479 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+20056 -27042 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+20056 -28525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+21957 -19388 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+21957 -20869 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+21957 -22351 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+21957 -23833 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+21957 -25481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+21957 -27043 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+21957 -28526 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+23859 -19304 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+23859 -20869 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+23859 -22351 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+23859 -23915 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+23859 -25396 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+23859 -27043 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+23859 -28526 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+25829 -19304 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+25829 -20870 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+25829 -22351 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+25829 -23915 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+25829 -25481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+25829 -27043 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+25829 -28526 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+27663 -19304 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+27663 -20870 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+27663 -22352 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+27663 -23915 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+27663 -25481 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+27663 -27044 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+27663 -28443 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+29564 -19304 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+29564 -20870 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+29564 -22351 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+29564 -23915 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+29564 -25480 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+29564 -27043 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+29564 -28526 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+31466 -19304 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+31466 -20869 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+31466 -22350 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+31466 -23832 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+31466 -25479 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+31466 -27042 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+31466 -28525 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+5462 -32484 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(coefficients) h
+R
+
+S
+20706 -32581 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(coefficients) h
+R
+
+R
+
+
+R
+R
+
+S
+30200 -75546 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(12) h
+R
+
+showpage
+$P e
+
+%%Page: 13 13
+/$P a D
+g N
+0 79200 T
+S
+S
+7200 -2700 T
+N
+0 G
+300 -1200 M
+-7200 2700 T
+R
+
+S
+7200 -74700 T
+N
+0 G
+300 -1200 M
+-7200 74700 T
+R
+
+R
+S
+7172 -7467 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+153.2 0 32 (The VLIs specified in  [2] are related to the two's) W
+300 -2150 M
+(complement representation. They  are:) h
+300 -3250 M
+2100 -4350 M
+(\(3\)) h
+5739 -4350 M
+(11) h
+2100 -5450 M
+(\(\2552\)) h
+5739 -5450 M
+(01) h
+2100 -6550 M
+(\(\2551\) ) h
+5739 -6550 M
+(0) h
+300 -7650 M
+300 -8750 M
+40.2 0 32 (Thus, the bit\255stream for this 8x8 example block is as) W
+300 -9850 M
+108.3 0 32 (follows.  Note that 31 bits are required to represent) W
+300 -10950 M
+120.8 0 32 (64 coefficients, which achieves compression of just) W
+300 -12050 M
+(under 0.5 bits/sample:) h
+300 -13150 M
+2100 -14250 M
+( 0111111011010000000001110001010 ) h
+2100 -15350 M
+300 -16450 M
+300 -17550 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1000 o f
+(7.4  Other DCT Sequential Codecs) h
+300 -18650 M
+300 -19750 M
+/Times-Roman-ISOLatin1 F 1000 o f
+246.4 0 32 (The structure of the 12\255bit DCT sequential codec) W
+300 -20850 M
+106.8 0 32 (with Huffman coding is a straightforward extension) W
+300 -21950 M
+120.7 0 32 (of the entropy coding method described previously.) W
+300 -23050 M
+104.6 0 32 (Quantized DCT coefficients can be 4 bits larger, so) W
+300 -24150 M
+433.6 0 32 (the SIZE and AMPLITUDE information extend) W
+300 -25250 M
+46.5 0 32 (accordingly.  DCT sequential with arithmetic coding) W
+300 -26350 M
+(is described in detail in [2].) h
+300 -27450 M
+300 -28550 M
+300 -29800 M
+/Times-Bold-ISOLatin1 F 1200 o f
+(8  DCT Progressive Mode) h
+300 -31550 M
+/Times-Roman-ISOLatin1 F 1000 o f
+87.6 0 32 (The DCT progressive mode of operation consists of) W
+300 -32650 M
+8.1 0 32 (the same FDCT and Quantization steps \(from section) W
+300 -33750 M
+94.7 0 32 (4\) that are used by DCT sequential mode.  The key) W
+300 -34850 M
+95.9 0 32 (difference is that each image component is encoded) W
+300 -35950 M
+133.5 0 32 (in multiple scans rather than in a single scan.  The) W
+300 -37050 M
+32.4 0 32 (first scan\(s\) encode a rough but recognizable version) W
+300 -38150 M
+225.9 0 32 (of the image which can be transmitted quickly in) W
+300 -39250 M
+202.4 0 32 (comparison to the total transmission time, and are) W
+300 -40350 M
+52.6 0 32 (refined by succeeding scans until reaching a level of) W
+300 -41450 M
+764.0 0 32 (picture quality that was established by the) W
+300 -42550 M
+(quantization tables.) h
+300 -43650 M
+300 -44750 M
+643.1 0 32 (To achieve this requires the addition of an) W
+300 -45850 M
+349.6 0 32 (image\255sized buffer memory at the output of the) W
+300 -46950 M
+94.3 0 32 (quantizer, before the input to entropy encoder.  The) W
+300 -48050 M
+37.3 0 32 (buffer memory must be of sufficient size to store the) W
+300 -49150 M
+60.1 0 32 (image as quantized DCT coefficients, each of which) W
+300 -50250 M
+101.0 0 32 (\(if stored straightforwardly\) is 3 bits larger than the) W
+300 -51350 M
+229.6 0 32 (source image samples.  After each block of DCT) W
+300 -52450 M
+639.0 0 32 (coefficients is quantized, it is stored in the) W
+300 -53550 M
+40.2 0 32 (coefficient buffer memory. The buffered coefficients) W
+300 -54650 M
+(are then partially encoded in each of multiple scans.) h
+300 -55750 M
+300 -56850 M
+151.3 0 32 (There are two complementary methods by which a) W
+300 -57950 M
+0.4 0 32 (block of quantized DCT coefficients may be partially) W
+300 -59050 M
+635.3 0 32 (encoded.  First, only a specified ) W
+635.3 0 32 (\026) W
+635.3 0 32 (band) W
+635.3 0 32 (\027) W
+635.3 0 32 ( of) W
+300 -60150 M
+431.5 0 32 (coefficients from the zig\255zag sequence need be) W
+300 -61250 M
+292.0 0 32 (encoded within a given scan.  This procedure is) W
+300 -62350 M
+595.6 0 32 (called ) W
+595.6 0 32 (\026) W
+595.6 0 32 (spectral selection,) W
+595.6 0 32 (\027) W
+595.6 0 32 ( because each band) W
+300 -63450 M
+51.5 0 32 (typically contains coefficients which occupy a lower) W
+-7172 7467 T
+R
+
+S
+32040 -7170 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+119.7 0 32 (or higher part of the spatial\255frequency spectrum for) W
+300 -2150 M
+31.4 0 32 (that 8x8 block.  Secondly, the coefficients within the) W
+300 -3250 M
+392.8 0 32 (current band need not be encoded to their full) W
+300 -4350 M
+389.5 0 32 (\(quantized\) accuracy in a given scan.  Upon a) W
+300 -5450 M
+204.0 0 32 (coefficient's first encoding, the N most significant) W
+300 -6550 M
+64.3 0 32 (bits can be encoded first, where N is specifiable.  In) W
+300 -7650 M
+7.1 0 32 (subsequent scans, the less significant bits can then be) W
+300 -8750 M
+426.7 0 32 (encoded.  This procedure is called ``successive) W
+300 -9850 M
+435.7 0 32 (approximation.''  Both procedures can be used) W
+300 -10950 M
+(separately, or mixed in flexible combinations.) h
+300 -12050 M
+300 -30888 M
+/Times-Roman-ISOLatin1 F 1000 o f
+116.0 0 32 (Some intuition for spectral selection and successive) W
+300 -31988 M
+48.9 0 32 (approximation can be obtained from Figure 11.  The) W
+300 -33088 M
+578.4 0 32 (quantized DCT coefficient information can be) W
+300 -34188 M
+247.6 0 32 (viewed as a rectangle for which the axes are the) W
+300 -35288 M
+570.2 0 32 (DCT coefficients \(in zig\255zag order\) and their) W
+300 -36388 M
+37.2 0 32 (amplitudes.  Spectral selection slices the information) W
+300 -37488 M
+199.2 0 32 (in one dimension and successive approximation in) W
+300 -38588 M
+(the other.) h
+300 -39688 M
+300 -40788 M
+300 -42038 M
+/Times-Bold-ISOLatin1 F 1200 o f
+(9  Hierarchical Mode of Operation) h
+300 -43788 M
+/Times-Roman-ISOLatin1 F 1000 o f
+556.4 0 32 (The hierarchical mode provides a ) W
+556.4 0 32 (\026) W
+556.4 0 32 (pyramidal) W
+556.4 0 32 (\027) W
+300 -44888 M
+170.9 0 32 (encoding of an image at multiple resolutions, each) W
+300 -45988 M
+63.7 0 32 (differing in resolution from its adjacent encoding by) W
+300 -47088 M
+204.1 0 32 (a factor of two in either the horizontal or vertical) W
+300 -48188 M
+97.6 0 32 (dimension or both.  The encoding procedure can be) W
+300 -49288 M
+(summarized as follows:) h
+300 -50388 M
+300 -51488 M
+(1\)) h
+2100 -51488 M
+214.0 0 32 (Filter and down\255sample the original image by) W
+2100 -52588 M
+237.0 0 32 (the desired number of multiples of 2 in each) W
+2100 -53688 M
+(dimension.) h
+2100 -54788 M
+300 -55888 M
+(2\)) h
+2100 -55888 M
+29.0 0 32 (Encode this reduced\255size image using one of the) W
+2100 -56988 M
+251.2 0 32 (sequential DCT, progressive DCT, or lossless) W
+2100 -58088 M
+(encoders described previously.) h
+2100 -59188 M
+300 -60288 M
+(3\)) h
+2100 -60288 M
+629.6 0 32 (Decode this reduced\255size image and then) W
+2100 -61388 M
+214.0 0 32 (interpolate and up\255sample it by 2 horizontally) W
+2100 -62488 M
+1286.3 0 32 (and/or vertically, using the identical) W
+2100 -63588 M
+(interpolation filter which the receiver must use.) h
+-32040 7170 T
+S
+N
+S
+32282 -37308 21475 17738 @ I N
+32282 -19570 T
+N
+S
+3610 -15064 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Table 3.  Baseline Entropy Coding) h
+R
+
+
+S
+7350 -16502 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Symbol\2552 Structure) h
+R
+
+S
+4858 -3655 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(1) h
+R
+
+
+S
+4858 -4709 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(2) h
+R
+
+S
+4858 -5764 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(3) h
+R
+
+S
+4858 -6722 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(4) h
+R
+
+S
+4858 -7777 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(5) h
+R
+
+S
+4858 -8832 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(6) h
+R
+
+S
+4858 -9791 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(7) h
+R
+
+S
+4858 -10846 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(8) h
+R
+
+S
+4858 -11804 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(9) h
+R
+
+S
+4378 -12859 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(10) h
+R
+
+S
+11665 -3655 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(\2551,1) h
+R
+
+S
+10610 -4709 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(\2553,\2552,2,3) h
+R
+
+S
+10418 -5764 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(\2557..\2554,4..7) h
+R
+
+S
+9843 -6722 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(\25515..\2558,8..15) h
+R
+
+S
+9268 -7777 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(\25531..\25516,16..31) h
+R
+
+S
+9268 -8832 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(\25563..\25532,32..63) h
+R
+
+S
+8692 -9791 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(\255127..\25564,64..127) h
+R
+
+S
+8214 -10846 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(\255255..\255128,128..255) h
+R
+
+S
+8214 -11804 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(\255511..\255256,256..511) h
+R
+
+S
+7638 -12859 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(\2551023..\255512,512..1023) h
+R
+
+S
+2556 -13507 17736 12745 @
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+2679.00 -2454.00 M
+20333.00 -2454.00 L
+S
+50 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+3889 -2073 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(SIZE) h
+R
+
+S
+9354 -2073 M
+/Times-Roman-ISOLatin1 F 1100 o f
+(AMPLITUDE) h
+R
+
+R
+
+
+R
+R
+
+S
+30008 -75738 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(13) h
+R
+
+showpage
+$P e
+
+%%Page: 14 14
+/$P a D
+g N
+0 79200 T
+S
+S
+7200 -2700 T
+N
+0 G
+300 -1200 M
+-7200 2700 T
+R
+
+S
+7200 -74700 T
+N
+0 G
+300 -1200 M
+-7200 74700 T
+R
+
+R
+S
+7152 -59314 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+(4\)) h
+2100 -1050 M
+7.9 0 32 (Use this up\255sampled image as a prediction of the) W
+2100 -2150 M
+505.7 0 32 (original at this resolution, and encode the) W
+2100 -3250 M
+307.0 0 32 (difference image using one of the sequential) W
+2100 -4350 M
+351.4 0 32 (DCT, progressive DCT, or lossless encoders) W
+2100 -5450 M
+(described previously.) h
+2100 -6550 M
+300 -7650 M
+(5\)) h
+2100 -7650 M
+16.1 0 32 (Repeat steps 3\) and 4\) until the full resolution of) W
+2100 -8750 M
+(the image has been encoded.) h
+2100 -9850 M
+300 -10950 M
+75.1 0 32 (The encoding in steps 2\) and 4\) must be done using) W
+300 -12050 M
+144.8 0 32 (only DCT\255based processes, only lossless processes,) W
+-7152 59314 T
+R
+
+S
+32040 -59325 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+32.1 0 32 (or DCT\255based processes with a final lossless process) W
+300 -2150 M
+(for each component.) h
+300 -3250 M
+300 -4350 M
+292.0 0 32 (Hierarchical encoding is useful in applications in) W
+300 -5450 M
+10.8 0 32 (which a very high resolution image must be accessed) W
+300 -6550 M
+243.3 0 32 (by a lower\255resolution display.  An example is an) W
+300 -7650 M
+16.3 0 32 (image scanned and compressed at high resolution for) W
+300 -8750 M
+218.6 0 32 (a very high\255quality printer, where the image must) W
+300 -9850 M
+357.1 0 32 (also be displayed on a low\255resolution PC video) W
+300 -10950 M
+(screen.) h
+300 -12050 M
+-32040 59325 T
+R
+
+S
+7478 -5752 T
+N
+S
+0 -55990 47170 55990 @
+R
+0 G
+300 -1050 M
+300 -55560 M
+S
+0 -55990 47170 55990 @
+R
+-7478 5752 T
+S
+N
+S
+7910 -60266 46306 53114 @ I N
+7910 -7152 T
+N
+S
+N
+28051.00 -26485.00 M
+29810.00 -26485.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+29355.00 -26739.00 M
+29899.00 -26485.00 L
+29355.00 -26232.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+27572 -26841 1434 854 @
+S
+0.00 G - + * E
+R
+R
+
+S
+N
+7951.00 -5609.00 M
+7951.00 -7452.00 L
+S
+150 w
+0 c
+0 j
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+N
+10071.00 -2868.00 M
+12373.00 -2107.00 L
+S
+150 w
+0 c
+0 j
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+27673 -24959 2034 3299 @
+S
+0.00 G - + * E
+R
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+28111.00 -24989.00 M
+28111.00 -21690.00 L
+34561.00 -16951.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+28586.00 -24989.00 M
+28586.00 -21690.00 L
+35034.00 -16951.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+29170.00 -24989.00 M
+29170.00 -21713.00 L
+35515.00 -17004.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+27752.00 -21655.00 M
+34156.00 -16950.00 L
+36061.00 -17005.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+29765.00 -24993.00 M
+36112.00 -19542.00 L
+36112.00 -17114.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+27936 -34013 657 3168 @
+S
+0.00 G - + * E
+R
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+28014.00 -30789.00 M
+34616.00 -26319.00 L
+35158.00 -26319.00 L
+28609.00 -30789.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+35159.00 -26369.00 M
+35159.00 -29208.00 L
+28598.00 -34045.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+28070.00 -21382.00 M
+30187.00 -21382.00 L
+30187.00 -24611.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+28491.00 -21051.00 M
+30609.00 -21051.00 L
+30609.00 -24282.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+29073.00 -33616.00 M
+29073.00 -30462.00 L
+28491.00 -30462.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+29496.00 -33297.00 M
+29496.00 -30145.00 L
+28915.00 -30145.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+31982.00 -21620.00 M
+33692.00 -20185.00 L
+S
+150 w
+0 c
+0 j
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+N
+31469.00 -29792.00 M
+33236.00 -28348.00 L
+S
+150 w
+0 c
+0 j
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+28254 -45069 659 3261 @
+S
+0.00 G - + * E
+R
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+28333.00 -41749.00 M
+34935.00 -37152.00 L
+35477.00 -37152.00 L
+28927.00 -41749.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+35477.00 -37203.00 M
+35477.00 -40126.00 L
+28915.00 -45102.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+29337.00 -44777.00 M
+29337.00 -41405.00 L
+28861.00 -41405.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+29707.00 -44452.00 M
+29707.00 -41205.00 L
+29231.00 -41205.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+31527.00 -41856.00 M
+33350.00 -40419.00 L
+S
+150 w
+0 c
+0 j
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+6408 -35969 4044 1320 @
+S
+0.00 G - + * E
+R
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6459.00 -34679.00 M
+13019.00 -30105.00 L
+16445.00 -30105.00 L
+10505.00 -34652.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6901.00 -34370.00 M
+10756.00 -34370.00 L
+10756.00 -35713.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+7363.00 -34064.00 M
+11218.00 -34064.00 L
+11218.00 -35455.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+16436.00 -30163.00 M
+16436.00 -31362.00 L
+10508.00 -35947.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6487.00 -35060.00 M
+10508.00 -35060.00 L
+16488.00 -30526.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6487.00 -35530.00 M
+10508.00 -35530.00 L
+16488.00 -30994.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+8585 -1604 M
+/Times-Roman-ISOLatin1 F 800 o f
+(Blocks) h
+R
+
+S
+4074 -6206 M
+/Times-Roman-ISOLatin1 F 800 o f
+(DCT) h
+R
+
+S
+3023 -6976 M
+/Times-Roman-ISOLatin1 F 800 o f
+(coefficients) h
+R
+
+S
+16940 -8844 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(a\) image component) h
+R
+
+S
+18710 -9709 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(as quantized) h
+R
+
+S
+17936 -10669 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(DCT coefficients) h
+R
+
+S
+27584 -26840 M
+/Times-Roman-ISOLatin1 F 800 o f
+(MSB) h
+R
+
+S
+27853 -28363 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+0.0 358.0 m
+(nd) h
+0 -358.0 m
+( scan) h
+R
+
+S
+6859 -20758 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+0.0 358.0 m
+(st) h
+0 -358.0 m
+( scan) h
+R
+
+S
+6408 -45081 4044 1293 @
+S
+0.00 G - + * E
+R
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6459.00 -43816.00 M
+13019.00 -39334.00 L
+16445.00 -39334.00 L
+10505.00 -43791.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6901.00 -43493.00 M
+10803.00 -43493.00 L
+10803.00 -44709.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+7476.00 -43156.00 M
+11377.00 -43156.00 L
+11377.00 -44424.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+10870.00 -42266.00 M
+12410.00 -40955.00 L
+S
+150 w
+0 c
+0 j
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+N
+16436.00 -39388.00 M
+16436.00 -40562.00 L
+10508.00 -45061.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6487.00 -44192.00 M
+10508.00 -44192.00 L
+16488.00 -39744.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6487.00 -44650.00 M
+10508.00 -44650.00 L
+16488.00 -40203.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+6533 -37579 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+0.0 358.0 m
+(rd) h
+0 -358.0 m
+( scan) h
+R
+
+S
+27519 -36504 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+0.0 358.0 m
+(rd) h
+0 -358.0 m
+( scan) h
+R
+
+S
+27906 -46729 M
+/Times-Roman-ISOLatin1 F 800 o f
+(\(LSB\)) h
+R
+
+S
+27906 -47951 M
+/Times-Roman-ISOLatin1 F 800 o f
+(6) h
+0.0 358.0 m
+(th) h
+0 -358.0 m
+( scan) h
+R
+
+S
+32477 -24147 M
+/Times-Roman-ISOLatin1 F 800 o f
+(sending) h
+R
+
+S
+14094 -34924 M
+/Times-Roman-ISOLatin1 F 800 o f
+(sending) h
+R
+
+S
+14011 -43670 M
+/Times-Roman-ISOLatin1 F 800 o f
+(sending) h
+R
+
+S
+32059 -44171 M
+/Times-Roman-ISOLatin1 F 800 o f
+(sending) h
+R
+
+S
+31912 -32940 M
+/Times-Roman-ISOLatin1 F 800 o f
+(sending) h
+R
+
+S
+N
+10629.00 -10527.00 M
+11896.00 -10527.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+11441.00 -10781.00 M
+11985.00 -10527.00 L
+11441.00 -10274.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+31350.00 -24176.00 M
+33120.00 -22714.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+32930.00 -23199.00 M
+33188.00 -22658.00 L
+32607.00 -22808.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+30555.00 -33224.00 M
+32324.00 -31762.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+32135.00 -32247.00 M
+32392.00 -31706.00 L
+31811.00 -31857.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+30662.00 -44524.00 M
+32429.00 -43059.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+32240.00 -43545.00 M
+32497.00 -43003.00 L
+31917.00 -43155.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+12784.00 -43931.00 M
+14621.00 -42531.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+14413.00 -43008.00 M
+14692.00 -42477.00 L
+14106.00 -42605.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+13154.00 -34829.00 M
+14925.00 -33364.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+14736.00 -33850.00 M
+14993.00 -33308.00 L
+14413.00 -33459.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+12784.00 -18057.00 M
+14555.00 -16594.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+14365.00 -17079.00 M
+14623.00 -16538.00 L
+14042.00 -16688.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+10203.00 -6420.00 M
+11270.00 -6420.00 L
+S
+75 w
+0 c
+0 j
+2 i
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+N
+10754.00 -5815.00 M
+10754.00 -7112.00 L
+S
+75 w
+0 c
+0 j
+2 i
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+7797 -4435 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+7806 -5153 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+7651 -8208 M
+/Times-Roman-ISOLatin1 F 800 o f
+(62) h
+R
+
+S
+7652 -8936 M
+/Times-Roman-ISOLatin1 F 800 o f
+(63) h
+R
+
+S
+8299 -3638 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+9159 -3368 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+9109 -9691 M
+/Times-Roman-ISOLatin1 F 800 o f
+(7) h
+R
+
+S
+9960 -9762 M
+/Times-Roman-ISOLatin1 F 800 o f
+(6) h
+R
+
+S
+13016 -9692 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+13835 -9692 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+8804 -10813 M
+/Times-Roman-ISOLatin1 F 800 o f
+(MSB) h
+R
+
+S
+12578 -10813 M
+/Times-Roman-ISOLatin1 F 800 o f
+(LSB) h
+R
+
+S
+5934 -18462 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+27733 -25901 M
+/Times-Roman-ISOLatin1 F 800 o f
+(7) h
+R
+
+S
+28232 -25901 M
+/Times-Roman-ISOLatin1 F 800 o f
+(6) h
+R
+
+S
+28729 -25900 M
+/Times-Roman-ISOLatin1 F 800 o f
+(5) h
+R
+
+S
+29338 -25901 M
+/Times-Roman-ISOLatin1 F 800 o f
+(4) h
+R
+
+S
+28157 -34924 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+R
+
+S
+5754 -35249 M
+/Times-Roman-ISOLatin1 F 800 o f
+(3) h
+R
+
+S
+5754 -35719 M
+/Times-Roman-ISOLatin1 F 800 o f
+(4) h
+R
+
+S
+5754 -36191 M
+/Times-Roman-ISOLatin1 F 800 o f
+(5) h
+R
+
+S
+5559 -44264 M
+/Times-Roman-ISOLatin1 F 800 o f
+(61) h
+R
+
+S
+5559 -44889 M
+/Times-Roman-ISOLatin1 F 800 o f
+(62) h
+R
+
+S
+5560 -45516 M
+/Times-Roman-ISOLatin1 F 800 o f
+(63) h
+R
+
+S
+28498 -46101 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+N
+9232.00 -2405.00 M
+12267.00 -1312.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+11925.00 -1704.00 M
+12351.00 -1281.00 L
+11753.00 -1227.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+7044.00 -17494.00 M
+10906.00 -17494.00 L
+10906.00 -18296.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+7499.00 -17223.00 M
+11289.00 -17223.00 L
+11289.00 -18060.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+3940 -51149 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(Figure 11.  Spectral Selection and Successive Approximation Methods of Progressive Encoding) h
+R
+
+S
+N
+29672.00 -24989.00 M
+29672.00 -21743.00 L
+36017.00 -17076.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+18315.00 -5036.00 M
+20075.00 -4182.00 L
+S
+75 w
+0 c
+0 j
+2 i
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+N
+19098.00 -4110.00 M
+19098.00 -5323.00 L
+S
+75 w
+0 c
+0 j
+2 i
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+N
+14358.00 -3042.00 M
+16000.00 -2471.00 L
+S
+75 w
+0 c
+0 j
+2 i
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+N
+14684.00 -2542.00 M
+15662.00 -2970.00 L
+S
+75 w
+0 c
+0 j
+2 i
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+N
+10224.00 -6462.00 M
+11658.00 -6462.00 L
+S
+75 w
+0 c
+0 j
+2 i
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+N
+10875.00 -5678.00 M
+10875.00 -7319.00 L
+S
+75 w
+0 c
+0 j
+2 i
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+N
+6893.00 -4894.00 M
+6893.00 -7995.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+6640.00 -7540.00 M
+6893.00 -8084.00 L
+7147.00 -7540.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+14019 -17828 M
+/Times-Roman-ISOLatin1 F 800 o f
+(sending) h
+R
+
+S
+7146 -46597 M
+/Times-Roman-ISOLatin1 F 800 o f
+(n) h
+0.0 358.0 m
+(th) h
+0 -358.0 m
+( scan) h
+R
+
+S
+3868 -49347 M
+/Times-Roman-ISOLatin1 F 900 o f
+(c\) progressive encoding: spectral selection) h
+R
+
+S
+22272 -49418 M
+/Times-Roman-ISOLatin1 F 900 o f
+(d\) progressive encoding: successive approximation) h
+R
+
+S
+6761 -39209 M
+/Symbol F 800 o f
+(\267) h
+R
+
+S
+6761 -40349 M
+/Symbol F 800 o f
+(\267) h
+R
+
+S
+6761 -41490 M
+/Symbol F 800 o f
+(\267) h
+R
+
+S
+28181 -38240 M
+/Symbol F 800 o f
+(\267) h
+R
+
+S
+28181 -39379 M
+/Symbol F 800 o f
+(\267) h
+R
+
+S
+28181 -40518 M
+/Symbol F 800 o f
+(\267) h
+R
+
+S
+8608 -8890 5712 5048 @
+S
+0.00 G - + * E
+R
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+8480.00 -3864.00 M
+19987.00 -616.00 L
+24607.00 -616.00 L
+14376.00 -3864.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+14339.00 -8897.00 M
+24606.00 -4823.00 L
+24606.00 -751.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+9448.00 -3798.00 M
+20752.00 -618.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+10340.00 -3798.00 M
+21712.00 -553.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+13375.00 -3864.00 M
+23711.00 -552.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+12411.00 -3864.00 M
+22746.00 -552.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+9310.00 -3667.00 M
+14822.00 -3667.00 L
+14822.00 -8565.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+9792.00 -3468.00 M
+15305.00 -3468.00 L
+15305.00 -8366.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+8690.00 -4528.00 M
+14384.00 -4528.00 L
+24606.00 -1214.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+8690.00 -5190.00 M
+14359.00 -5190.00 L
+24537.00 -1878.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+8690.00 -8234.00 M
+14359.00 -8234.00 L
+24606.00 -4194.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+8690.00 -7504.00 M
+14336.00 -7504.00 L
+24537.00 -3533.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+9517.00 -3864.00 M
+9517.00 -8964.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+10413.00 -3864.00 M
+10413.00 -8964.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+13581.00 -3864.00 M
+13581.00 -8964.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+12686.00 -3864.00 M
+12686.00 -8964.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+26725.00 -22712.00 M
+26725.00 -23700.00 L
+S
+150 w
+0 c
+0 j
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+26651 -22398 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+26377 -24313 M
+/Times-Roman-ISOLatin1 F 800 o f
+(62) h
+R
+
+S
+26377 -25040 M
+/Times-Roman-ISOLatin1 F 800 o f
+(63) h
+R
+
+S
+26619 -21752 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+26256 -17201 4043 750 @
+S
+0.00 G - + * E
+R
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+26307.00 -16481.00 M
+32866.00 -11908.00 L
+36293.00 -11908.00 L
+30353.00 -16453.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+30384.00 -17169.00 M
+36306.00 -12642.00 L
+36306.00 -11896.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+26324 -18004 M
+/Times-Roman-ISOLatin1 F 800 o f
+(7 .   .   .   .    0) h
+R
+
+S
+25568 -17191 M
+/Times-Roman-ISOLatin1 F 800 o f
+(0) h
+R
+
+S
+26706 -19382 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+0.0 358.0 m
+(st) h
+0 -358.0 m
+( scan) h
+R
+
+S
+22215 -6305 4985 7815 @
+S
+0.00 G - + * E
+R
+R
+
+S
+17516 -1346 7671 1999 @
+S
+0.00 G - + * E
+R
+R
+
+S
+N
+17439.00 -1330.00 M
+22168.00 -1330.00 L
+22168.00 -5748.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+28685 -9812 4043 3950 @
+S
+0.00 G - + * E
+R
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+28684.00 -5898.00 M
+35241.00 -149.00 L
+38669.00 -149.00 L
+32728.00 -5866.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+38633.00 -149.00 M
+38633.00 -3395.00 L
+32803.00 -9738.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+29391.00 -5360.00 M
+33271.00 -5360.00 L
+33271.00 -9272.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+29771.00 -4897.00 M
+33706.00 -4897.00 L
+33706.00 -8811.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+35650.00 -4967.00 M
+36962.00 -3846.00 L
+S
+150 w
+0 c
+0 j
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+27998 -11153 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(\(b\)  Sequential encoding) h
+R
+
+S
+36964 -6785 M
+/Times-Roman-ISOLatin1 F 800 o f
+(sending) h
+R
+
+S
+N
+35852.00 -7340.00 M
+37402.00 -5494.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+37304.00 -6005.00 M
+37459.00 -5426.00 L
+36916.00 -5679.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+33515.00 -3361.00 M
+34771.00 -2174.00 L
+S
+150 w
+0 c
+0 j
+[100 400] 0 d
+0.00 G k
+R
+R
+
+S
+6408 -27700 4044 1319 @
+S
+0.00 G - + * E
+R
+S
+100 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6459.00 -26412.00 M
+13019.00 -21838.00 L
+16445.00 -21838.00 L
+10505.00 -26384.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6901.00 -26103.00 M
+10756.00 -26103.00 L
+10756.00 -27444.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+7363.00 -25797.00 M
+11218.00 -25797.00 L
+11218.00 -27189.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+16436.00 -21894.00 M
+16436.00 -23094.00 L
+10508.00 -27680.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6487.00 -27121.00 M
+10508.00 -27121.00 L
+16488.00 -22585.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+6533 -29311 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+0.0 358.0 m
+(nd) h
+0 -358.0 m
+( scan) h
+R
+
+S
+14094 -26658 M
+/Times-Roman-ISOLatin1 F 800 o f
+(sending) h
+R
+
+S
+N
+13154.00 -26562.00 M
+14925.00 -25096.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+S
+N
+14736.00 -25582.00 M
+14993.00 -25040.00 L
+14413.00 -25191.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+5825 -26910 M
+/Times-Roman-ISOLatin1 F 800 o f
+(1) h
+R
+
+S
+5826 -27665 M
+/Times-Roman-ISOLatin1 F 800 o f
+(2) h
+R
+
+S
+6407 -18554 4044 752 @
+S
+0.00 G - + * E
+R
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+6458.00 -17835.00 M
+13018.00 -13262.00 L
+16444.00 -13262.00 L
+10505.00 -17805.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+S
+N
+10535.00 -18523.00 M
+16459.00 -13996.00 L
+16459.00 -13249.00 L
+S
+75 w
+0 c
+0 j
+2 i
+0.00 G k
+R
+R
+
+R
+
+
+R
+R
+
+S
+29816 -75834 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(14) h
+R
+
+showpage
+$P e
+
+%%Page: 15 15
+/$P a D
+g N
+0 79200 T
+S
+S
+7200 -2700 T
+N
+0 G
+300 -1200 M
+-7200 2700 T
+R
+
+S
+7200 -74700 T
+N
+0 G
+300 -1200 M
+-7200 74700 T
+R
+
+R
+S
+7192 -7189 T
+N
+0 G
+300 -1200 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1200 o f
+(10  Other Aspects of the JPEG Proposal) h
+300 -2950 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+59.4 0 32 (Some key aspects of the proposed standard can only) W
+300 -4050 M
+250.3 0 32 (be mentioned briefly.  Foremost among these are) W
+300 -5150 M
+556.2 0 32 (points concerning the coded representation for) W
+300 -6250 M
+159.0 0 32 (compressed image data specified in addition to the) W
+300 -7350 M
+(encoding and decoding procedures.) h
+300 -8450 M
+300 -9550 M
+203.5 0 32 (Most importantly, an ) W
+/Times-Italic-ISOLatin1 $
+/Times-Italic & P
+/Times-Italic-ISOLatin1 F 1000 o f
+203.5 0 32 (interchange format) W
+/Times-Roman-ISOLatin1 F 1000 o f
+203.5 0 32 ( syntax is) W
+300 -10650 M
+356.2 0 32 (specified which ensures that a JPEG\255compressed) W
+300 -11750 M
+567.6 0 32 (image can be exchanged successfully between) W
+300 -12850 M
+231.8 0 32 (different application environments.  The format is) W
+300 -13950 M
+357.9 0 32 (structured in a consistent way for all modes of) W
+300 -15050 M
+139.5 0 32 (operation.  The interchange format always includes) W
+300 -16150 M
+367.0 0 32 (all quantization and entropy\255coding tables which) W
+300 -17250 M
+(were used to compress the image.) h
+300 -18350 M
+300 -19450 M
+63.5 0 32 (Applications \(and application\255specific standards\) are) W
+300 -20550 M
+423.9 0 32 (the ) W
+423.9 0 32 (\026) W
+423.9 0 32 (users) W
+423.9 0 32 (\027) W
+423.9 0 32 ( of the JPEG standard.  The JPEG) W
+300 -21650 M
+352.0 0 32 (standard imposes no requirement that, within an) W
+300 -22750 M
+315.2 0 32 (application's environment, all or even any tables) W
+300 -23850 M
+222.6 0 32 (must be encoded with the compressed image data) W
+300 -24950 M
+657.5 0 32 (during storage or transmission.  This leaves) W
+300 -26050 M
+532.8 0 32 (applications the freedom to specify default or) W
+300 -27150 M
+103.0 0 32 (referenced tables if they are considered appropriate. ) W
+300 -28250 M
+135.5 0 32 (It also leaves them the responsibility to ensure that) W
+300 -29350 M
+993.3 0 32 (JPEG\255compliant decoders used within their) W
+300 -30450 M
+66.3 0 32 (environment get loaded with the proper tables at the) W
+300 -31550 M
+69.9 0 32 (proper times, and that the proper tables are included) W
+300 -32650 M
+72.0 0 32 (in the interchange format when a compressed image) W
+300 -33750 M
+(is ) h
+(\026) h
+(exported) h
+(\027) h
+( outside the application.) h
+300 -34850 M
+300 -35950 M
+127.3 0 32 (Some of the important applications that are already) W
+300 -37050 M
+301.7 0 32 (in the process of adopting JPEG compression or) W
+300 -38150 M
+226.0 0 32 (have stated their interest in doing so are Adobe's) W
+300 -39250 M
+333.3 0 32 (PostScript language for printing systems [1], the) W
+300 -40350 M
+87.6 0 32 (Raster Content portion of the ISO Office Document) W
+300 -41450 M
+47.2 0 32 (Architecture and Interchange Format [13], the future) W
+300 -42550 M
+185.7 0 32 (CCITT color facsimile standard, and the European) W
+300 -43650 M
+(ETSI videotext standard [10].) h
+300 -44750 M
+300 -45850 M
+300 -47100 M
+/Times-Bold-ISOLatin1 F 1200 o f
+(11  Standardization Schedule) h
+300 -48850 M
+/Times-Roman-ISOLatin1 F 1000 o f
+76.4 0 32 (JPEG's ISO standard will be divided into two parts. ) W
+300 -49950 M
+114.4 0 32 (Part 1 [2] will specify the four modes of operation,) W
+300 -51050 M
+147.4 0 32 (the different codecs specified for those modes, and) W
+300 -52150 M
+423.9 0 32 (the interchange format.  It will also contain a) W
+300 -53250 M
+131.8 0 32 (substantial informational section on implementation) W
+300 -54350 M
+180.8 0 32 (guidelines.  Part 2 [3] will specify the compliance) W
+300 -55450 M
+458.8 0 32 (tests which will determine whether an encoder) W
+300 -56550 M
+433.6 0 32 (implementation, a decoder implementation, or a) W
+300 -57650 M
+618.8 0 32 (JPEG\255compressed image in interchange format) W
+300 -58750 M
+40.1 0 32 (comply with the Part 1 specifications.  In addition to) W
+300 -59850 M
+222.8 0 32 (the ISO documents referenced, the JPEG standard) W
+300 -60950 M
+(will also be issued as CCITT Recommendation T.81.) h
+300 -62050 M
+-7192 7189 T
+R
+
+S
+32040 -7189 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 F 1000 o f
+378.8 0 32 (There are two key balloting phases in the ISO) W
+300 -2150 M
+125.3 0 32 (standardization process: a Committee Draft \(CD\) is) W
+300 -3250 M
+1011.2 0 32 (balloted to determine promotion to Draft) W
+300 -4350 M
+0.3 0 32 (International Standard \(DIS\), and a DIS is balloted to) W
+300 -5450 M
+139.2 0 32 (determine promotion to International Standard \(IS\). ) W
+300 -6550 M
+545.1 0 32 (A CD ballot requires four to six months of) W
+300 -7650 M
+271.0 0 32 (processing, and a DIS ballot requires six to nine) W
+300 -8750 M
+243.1 0 32 (months of processing.  JPEG's Part 1 began DIS) W
+300 -9850 M
+312.6 0 32 (ballot in November 1991, and Part 2 began CD) W
+300 -10950 M
+(ballot in December 1991.) h
+300 -12050 M
+300 -13150 M
+111.3 0 32 (Though there is no guarantee that the first ballot of) W
+300 -14250 M
+3.1 0 32 (each phase will result in promotion to the next, JPEG) W
+300 -15350 M
+5.1 0 32 (achieved promotion of CD Part 1 to DIS Part 1 in the) W
+300 -16450 M
+371.6 0 32 (first ballot.  Moreover, JPEG's DIS Part 1 has) W
+300 -17550 M
+264.5 0 32 (undergone no technical changes \(other than some) W
+300 -18650 M
+23.7 0 32 (minor corrections\) since JPEG's final Working Draft) W
+300 -19750 M
+170.6 0 32 (\(WD\) [14].  Thus, Part 1 has remained unchanged) W
+300 -20850 M
+38.0 0 32 (from the final WD, through CD, and into DIS.  If all) W
+300 -21950 M
+59.0 0 32 (goes well, Part 1 should receive final approval as an) W
+300 -23050 M
+46.2 0 32 (IS in mid\2551992, with Part 2 getting final IS approval) W
+300 -24150 M
+(about nine months later.  ) h
+300 -25250 M
+300 -26350 M
+300 -27600 M
+/Times-Bold-ISOLatin1 F 1200 o f
+(12  Conclusions) h
+300 -29350 M
+/Times-Roman-ISOLatin1 F 1000 o f
+965.5 0 32 (The emerging JPEG continuous\255tone image) W
+300 -30450 M
+17.6 0 32 (compression standard is not a panacea that will solve) W
+300 -31550 M
+190.9 0 32 (the myriad issues which must be addressed before) W
+300 -32650 M
+100.6 0 32 (digital images will be fully integrated within all the) W
+300 -33750 M
+157.3 0 32 (applications that will ultimately benefit from them. ) W
+300 -34850 M
+241.2 0 32 (For example, if two applications cannot exchange) W
+300 -35950 M
+22.8 0 32 (uncompressed images because they use incompatible) W
+300 -37050 M
+190.9 0 32 (color spaces, aspect ratios, dimensions, etc. then a) W
+300 -38150 M
+(common compression method will not help.) h
+300 -39250 M
+300 -40350 M
+100.0 0 32 (However, a great many applications are ) W
+100.0 0 32 (\026) W
+100.0 0 32 (stuck) W
+100.0 0 32 (\027) W
+100.0 0 32 ( be\255) W
+300 -41450 M
+21.4 0 32 (cause of storage or transmission costs, because of ar\255) W
+300 -42550 M
+632.5 0 32 (gument over which \(nonstandard\) compression) W
+300 -43650 M
+114.7 0 32 (method to use, or because VLSI codecs are too ex\255) W
+300 -44750 M
+52.1 0 32 (pensive due to low volumes.  For these applications,) W
+300 -45850 M
+105.8 0 32 (the thorough technical evaluation, testing, selection,) W
+300 -46950 M
+339.0 0 32 (validation, and documentation work which JPEG) W
+300 -48050 M
+153.3 0 32 (committee members have performed is expected to) W
+300 -49150 M
+227.2 0 32 (soon yield an approved international standard that) W
+300 -50250 M
+111.0 0 32 (will withstand the tests of quality and time.  As di\255) W
+300 -51350 M
+100.4 0 32 (verse imaging applications become increasingly im\255) W
+300 -52450 M
+216.8 0 32 (plemented on open networked computing systems,) W
+300 -53550 M
+32.0 0 32 (the ultimate measure of the committee's success will) W
+300 -54650 M
+180.8 0 32 (be when JPEG\255compressed digital images come to) W
+300 -55750 M
+111.8 0 32 (be regarded and even taken for granted as ) W
+111.8 0 32 (\026) W
+111.8 0 32 (just an\255) W
+300 -56850 M
+(other data type,) h
+(\027) h
+( as text and graphics are today.) h
+300 -58250 M
+300 -59350 M
+300 -60450 M
+300 -61550 M
+300 -62650 M
+300 -63750 M
+-32040 7189 T
+R
+
+S
+29912 -75834 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(15) h
+R
+
+showpage
+$P e
+
+%%Page: 16 16
+/$P a D
+g N
+0 79200 T
+S
+S
+7200 -2700 T
+N
+0 G
+300 -1200 M
+-7200 2700 T
+R
+
+S
+7200 -74700 T
+N
+0 G
+300 -1200 M
+-7200 74700 T
+R
+
+R
+S
+7200 -7200 T
+N
+0 G
+300 -1200 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1200 o f
+(For more information) h
+300 -2950 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+114.8 0 32 (Information on how to obtain the ISO JPEG \(draft\)) W
+300 -4050 M
+177.4 0 32 (standards can be obtained by writing the author at) W
+300 -5150 M
+(the following address:) h
+300 -6250 M
+300 -7350 M
+(Digital Equipment Corporation) h
+300 -8450 M
+(146 Main Street,  ML01\2552/U44) h
+300 -9550 M
+(Maynard, MA  01754\2552571) h
+300 -10650 M
+300 -11750 M
+(Internet:   wallace@gauss.enet.dec.com) h
+300 -12850 M
+300 -13950 M
+76.5 0 32 (Floppy disks containing uncompressed, compressed,) W
+300 -15050 M
+72.0 0 32 (and reconstructed data for the purpose of informally) W
+300 -16150 M
+956.4 0 32 (validating whether an encoder or decoder) W
+300 -17250 M
+200.2 0 32 (implementation conforms to the proposed standard) W
+300 -18350 M
+488.3 0 32 (are available.  Thanks to the following JPEG) W
+300 -19450 M
+412.3 0 32 (committee member and his company who have) W
+300 -20550 M
+105.4 0 32 (agreed to provide these for a nominal fee on behalf) W
+300 -21650 M
+24.8 0 32 (of the committee until arrangements can be made for) W
+300 -22750 M
+(ISO to provide them:) h
+300 -23850 M
+300 -24950 M
+(Eric Hamilton) h
+300 -26050 M
+(C\255Cube Microsystems) h
+300 -27150 M
+(1778 McCarthy Blvd.) h
+300 -28250 M
+(Milpitas,  CA  95035) h
+300 -29350 M
+300 -30450 M
+300 -31700 M
+/Times-Bold-ISOLatin1 F 1200 o f
+(Acknowledgments) h
+300 -33450 M
+/Times-Roman-ISOLatin1 F 1000 o f
+217.8 0 32 (The following longtime JPEG core members have) W
+300 -34550 M
+52.1 0 32 (spent untold hours \(usually in addition to their ``real) W
+300 -35650 M
+51.3 0 32 (jobs''\) to make this collaborative international effort) W
+300 -36750 M
+60.1 0 32 (succeed.  Each has made specific substantive contri\255) W
+300 -37850 M
+111.1 0 32 (butions to the JPEG proposal:  Aharon Gill \(Zoran,) W
+300 -38950 M
+130.2 0 32 (Israel\), Eric Hamilton \(C\255Cube, USA\), Alain Leger) W
+300 -40050 M
+667.3 0 32 (\(CCETT, France\), Adriaan Ligtenberg \(Storm,) W
+300 -41150 M
+195.4 0 32 (USA\), Herbert Lohscheller \(ANT, Germany\), Joan) W
+300 -42250 M
+88.3 0 32 (Mitchell \(IBM, USA\), Michael Nier \(Kodak, USA\),) W
+300 -43350 M
+211.8 0 32 (Takao Omachi \(NEC, Japan\), William Pennebaker) W
+300 -44450 M
+189.2 0 32 (\(IBM, USA\), Henning Poulsen \(KTAS, Denmark\),) W
+300 -45550 M
+292.5 0 32 (and Jorgen Vaaben \(AutoGraph, Denmark\).  The) W
+300 -46650 M
+153.5 0 32 (leadership efforts of Hiroshi Yasuda \(NTT, Japan\),) W
+300 -47750 M
+97.2 0 32 (the Convenor of JTC1/SC2/WG8 from which JPEG) W
+300 -48850 M
+6.2 0 32 (was spawned, Istvan Sebestyen \(Siemens, Germany\),) W
+300 -49950 M
+278.2 0 32 (the Special Rapporteur from CCITT SGVIII, and) W
+300 -51050 M
+445.0 0 32 (Graham Hudson \(British Telecom U.K.\) former) W
+300 -52150 M
+94.4 0 32 (JPEG chair and founder of the effort which became) W
+300 -53250 M
+34.2 0 32 (JPEG.  The author regrets that space does not permit) W
+300 -54350 M
+111.3 0 32 (recognition of the many other individuals who con\255) W
+300 -55450 M
+(tributed to JPEG's work.) h
+300 -57150 M
+17.6 0 32 (Thanks to Majid Rabbani of Eastman Kodak for pro\255) W
+300 -58250 M
+(viding the example in section 7.3.) h
+300 -59950 M
+24.5 0 32 (The author's role within JPEG has been supported in) W
+300 -61050 M
+121.8 0 32 (a great number of ways by Digital Equipment Cor\255) W
+300 -62150 M
+(poration ) h
+300 -64000 M
+-7200 7200 T
+R
+
+S
+32040 -7200 T
+N
+0 G
+300 -1200 M
+/Times-Bold-ISOLatin1 F 1200 o f
+(References) h
+300 -2950 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(1.) h
+2100 -2950 M
+23.4 0 32 (Adobe Systems Inc. ) W
+/Times-Italic-ISOLatin1 $
+/Times-Italic & P
+/Times-Italic-ISOLatin1 F 1000 o f
+23.4 0 32 (PostScript Language Refer\255) W
+2100 -4050 M
+320.7 0 32 (ence Manual) W
+/Times-Roman-ISOLatin1 F 1000 o f
+320.7 0 32 (.  Second Ed. Addison Wesley,) W
+2100 -5150 M
+(Menlo Park,  Calif. 1990) h
+300 -6850 M
+(2.) h
+2100 -6850 M
+17.4 0 32 (Digital Compression and Coding of Continuous\255) W
+2100 -7950 M
+362.0 0 32 (tone Still Images, Part 1, Requirements and) W
+2100 -9050 M
+168.0 0 32 (Guidelines.  ISO/IEC JTC1 Draft International) W
+2100 -10150 M
+(Standard 10918\2551, Nov. 1991.) h
+300 -11850 M
+(3.) h
+2100 -11850 M
+17.4 0 32 (Digital Compression and Coding of Continuous\255) W
+2100 -12950 M
+181.3 0 32 (tone Still Images, Part 2, Compliance Testing. ) W
+2100 -14050 M
+129.0 0 32 (ISO/IEC JTC1 Committee Draft 10918\2552, Dec.) W
+2100 -15150 M
+(1991.) h
+300 -16850 M
+(4.) h
+2100 -16850 M
+329.2 0 32 (Encoding parameters of digital television for) W
+2100 -17950 M
+140.0 0 32 (studios.  CCIR Recommendations, Recommen\255) W
+2100 -19050 M
+(dation 601, 1982.) h
+300 -20750 M
+(5.) h
+2100 -20750 M
+18.3 0 32 (Howard, P.G., and Vitter, J.S.  New methods for) W
+2100 -21850 M
+445.8 0 32 (lossless image compression using arithmetic) W
+2100 -22950 M
+186.2 0 32 (coding.  Brown University Dept. of Computer) W
+2100 -24050 M
+(Science Tech. Report No. CS\25591\25547, Aug. 1991.) h
+300 -25750 M
+(6.) h
+2100 -25750 M
+68.0 0 32 (Hudson, G.P. The development of photographic) W
+2100 -26850 M
+53.0 0 32 (videotex in the UK. In ) W
+/Times-Italic-ISOLatin1 F 1000 o f
+53.0 0 32 (Proceedings of the IEEE) W
+2100 -27950 M
+243.0 0 32 (Global Telecommunications Conference, IEEE) W
+2100 -29050 M
+(Communication Society,) h
+/Times-Roman-ISOLatin1 F 1000 o f
+( 1983, pp. 319\255322.) h
+300 -30750 M
+(7.) h
+2100 -30750 M
+261.3 0 32 (Hudson, G.P., Yasuda, H., and Sebesty\351n,) W
+300.0 0.0 m
+261.3 0 32 ( ) W
+261.3 0 32 (I. ) W
+2100 -31850 M
+167.8 0 32 (The international standardization of a still pic\255) W
+2100 -32950 M
+117.0 0 32 (ture compression technique.  In ) W
+/Times-Italic-ISOLatin1 F 1000 o f
+117.0 0 32 (Proceedings of) W
+2100 -34050 M
+251.5 0 32 (the IEEE Global Telecommunications Confer\255) W
+2100 -35150 M
+606.0 0 32 (ence, IEEE Communications Society,) W
+/Times-Roman-ISOLatin1 F 1000 o f
+606.0 0 32 ( Nov.) W
+2100 -36250 M
+(1988, pp. 1016\2551021.) h
+300 -37950 M
+(8.) h
+2100 -37950 M
+136.0 0 32 (Huffman, D.A.  A method for the construction) W
+2100 -39050 M
+52.2 0 32 (of minimum redundancy codes.  In ) W
+/Times-Italic-ISOLatin1 F 1000 o f
+52.2 0 32 (Proceedings) W
+2100 -40150 M
+(IRE) h
+/Times-Roman-ISOLatin1 F 1000 o f
+(, vol. 40, 1962, pp. 1098\2551101.) h
+300 -41850 M
+(9.) h
+2100 -41850 M
+186.7 0 32 (L\351ger, A. Implementations of fast discrete co\255) W
+2100 -42950 M
+214.3 0 32 (sine transform for full color videotex services) W
+2100 -44050 M
+342.3 0 32 (and terminals.  In ) W
+/Times-Italic-ISOLatin1 F 1000 o f
+342.3 0 32 (Proceedings of the IEEE) W
+2100 -45150 M
+243.0 0 32 (Global Telecommunications Conference, IEEE) W
+2100 -46250 M
+(Communications Society,) h
+/Times-Roman-ISOLatin1 F 1000 o f
+( 1984, pp. 333\255337.) h
+300 -47950 M
+(10.) h
+2100 -47950 M
+216.5 0 32 (L\351ger, A., Omachi, T., and Wallace, G.  The) W
+2100 -49050 M
+246.2 0 32 (JPEG still picture compression algorithm.  In) W
+2100 -50150 M
+/Times-Italic-ISOLatin1 F 1000 o f
+72.1 0 32 (Optical Engineering) W
+/Times-Roman-ISOLatin1 F 1000 o f
+72.1 0 32 (, vol. 30, no. 7 \(July 1991\),) W
+2100 -51250 M
+(pp. 947\255954.) h
+300 -52950 M
+(11.) h
+2100 -52950 M
+42.5 0 32 (L\351ger, A., Mitchell, M., and Yamazaki, Y.  Still) W
+2100 -54050 M
+18.2 0 32 (picture compression algorithms evaluated for in\255) W
+2100 -55150 M
+223.6 0 32 (ternational standardization.  In P) W
+/Times-Italic-ISOLatin1 F 1000 o f
+223.6 0 32 (roceedings of) W
+2100 -56250 M
+251.5 0 32 (the IEEE Global Telecommunications Confer\255) W
+2100 -57350 M
+606.0 0 32 (ence, IEEE Communications Society,) W
+/Times-Roman-ISOLatin1 F 1000 o f
+606.0 0 32 ( Nov.) W
+2100 -58450 M
+(1988, pp. 1028\2551032.) h
+300 -60150 M
+(12.) h
+2100 -60150 M
+168.0 0 32 (Lohscheller, H.  A subjectively adapted image) W
+2100 -61250 M
+89.8 0 32 (communication system.  ) W
+/Times-Italic-ISOLatin1 F 1000 o f
+89.8 0 32 (IEEE Trans. Commun.) W
+/Times-Roman-ISOLatin1 F 1000 o f
+89.8 0 32 ( ) W
+2100 -62350 M
+(COM\25532 \(Dec. 1984\), pp. 1316\2551322.) h
+2100 -63450 M
+-32040 7200 T
+R
+
+S
+29720 -76121 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(16) h
+R
+
+showpage
+$P e
+
+%%Page: 17 17
+/$P a D
+g N
+0 79200 T
+S
+S
+7200 -2700 T
+N
+0 G
+300 -1200 M
+-7200 2700 T
+R
+
+S
+7200 -74700 T
+N
+0 G
+300 -1200 M
+-7200 74700 T
+R
+
+R
+S
+7200 -7200 T
+N
+0 G
+300 -1050 M
+/Times-Roman-ISOLatin1 $
+/Times-Roman & P
+/Times-Roman-ISOLatin1 F 1000 o f
+(13.) h
+2100 -1050 M
+19.0 0 32 (Office Document Architecture \(ODA\) and Inter\255) W
+2100 -2150 M
+16.9 0 32 (change Format, Part 7:  Raster Graphics Content) W
+2100 -3250 M
+536.5 0 32 (Architectures.  ISO/IEC JTC1 International) W
+2100 -4350 M
+(Standard 8613\2557.) h
+300 -6050 M
+(14.) h
+2100 -6050 M
+307.5 0 32 (Pennebaker, W.B., JPEG Tech. Specification,) W
+2100 -7150 M
+257.0 0 32 (Revision 8. Informal Working paper JPEG\2558\255) W
+2100 -8250 M
+(R8, Aug. 1990.) h
+300 -9950 M
+(15.) h
+2100 -9950 M
+108.1 0 32 (Pennebaker, W.B., Mitchell, J.L., et. al.  Arith\255) W
+2100 -11050 M
+53.1 0 32 (metic coding articles. ) W
+/Times-Italic-ISOLatin1 $
+/Times-Italic & P
+/Times-Italic-ISOLatin1 F 1000 o f
+53.1 0 32 (IBM J. Res. Dev., ) W
+/Times-Roman-ISOLatin1 F 1000 o f
+53.1 0 32 (vol. 32,) W
+2100 -12150 M
+(no. 6  \(Nov. 1988\),  pp. 717\255774.) h
+300 -13850 M
+(16.) h
+2100 -13850 M
+649.0 0 32 (Rao, K.R., and Yip, P. ) W
+/Times-Italic-ISOLatin1 F 1000 o f
+649.0 0 32 (Discrete Cosine) W
+2100 -14950 M
+558.0 0 32 (Transform\255\255Algorithms, Advantages, Applica\255) W
+2100 -16050 M
+(tions) h
+/Times-Roman-ISOLatin1 F 1000 o f
+(.  Academic Press, Inc. London, 1990.) h
+300 -17750 M
+(17.) h
+2100 -17750 M
+129.4 0 32 (Standardization of Group 3 facsimile apparatus) W
+2100 -18850 M
+23.4 0 32 (for document transmission.  CCITT Recommen\255) W
+2100 -19950 M
+272.5 0 32 (dations, Fascicle VII.2, Recommendation T.4,) W
+2100 -21050 M
+(1980.) h
+300 -22750 M
+(18.) h
+2100 -22750 M
+912.8 0 32 (Wallace, G.K. Overview of the JPEG) W
+2100 -23850 M
+119.5 0 32 (\(ISO/CCITT\) still image compression standard. ) W
+2100 -24950 M
+217.0 0 32 (Image Processing Algorithms and Techniques. ) W
+2100 -26050 M
+294.6 0 32 (In ) W
+/Times-Italic-ISOLatin1 F 1000 o f
+294.6 0 32 (Proceedings of the SPIE) W
+/Times-Roman-ISOLatin1 F 1000 o f
+294.6 0 32 (, vol. 1244 \(Feb.) W
+2100 -27150 M
+(1990\), pp. 220\255233.) h
+300 -28850 M
+(19.) h
+2100 -28850 M
+118.9 0 32 (Wallace, G., Vivian, R,. and Poulsen, H.  Sub\255) W
+2100 -29950 M
+158.5 0 32 (jective testing results for still picture compres\255) W
+2100 -31050 M
+8.5 0 32 (sion algorithms for international standardization. ) W
+2100 -32150 M
+56.8 0 32 (In ) W
+/Times-Italic-ISOLatin1 F 1000 o f
+56.8 0 32 (Proceedings of the IEEE Global Telecommu\255) W
+2100 -33250 M
+272.3 0 32 (nications Conference.  IEEE Communications) W
+2100 -34350 M
+(Society,) h
+/Times-Roman-ISOLatin1 F 1000 o f
+( Nov. 1988,  pp. 1022\2551027.) h
+300 -36050 M
+( ) h
+300 -37900 M
+/Times-Bold-ISOLatin1 $
+/Times-Bold & P
+/Times-Bold-ISOLatin1 F 1200 o f
+(Biography) h
+300 -39050 M
+300 -40150 M
+/Times-Roman-ISOLatin1 F 1000 o f
+602.7 0 32 (Gregory K. Wallace is currently Manager of) W
+300 -41250 M
+35.3 0 32 (Multimedia Engineering, Advanced Development, at) W
+300 -42350 M
+185.2 0 32 (Digital Equipment Corporation. Since 1988 he has) W
+300 -43450 M
+222.4 0 32 (served as Chair of the JPEG committee \(ISO/IEC) W
+300 -44550 M
+100.8 0 32 (JTC1/SC2/WG10\).  For the past five years at DEC,) W
+300 -45650 M
+199.3 0 32 (he has worked on efficient software and hardware) W
+300 -46750 M
+979.3 0 32 (implementations of image compression and) W
+300 -47850 M
+1118.3 0 32 (processing algorithms for incorporation in) W
+300 -48950 M
+39.6 0 32 (general\255purpose computing systems. He received the) W
+300 -50050 M
+95.1 0 32 (BSEE and MSEE from Stanford University in 1977) W
+300 -51150 M
+369.7 0 32 (and 1979. His current research interests are the) W
+300 -52250 M
+1132.0 0 32 (integration of robust real\255time multimedia) W
+300 -53350 M
+(capabilities into networked computing systems. ) h
+300 -54450 M
+300 -56150 M
+300 -57546 M
+-7200 7200 T
+R
+
+S
+32040 -7200 T
+N
+0 G
+-32040 7200 T
+R
+
+S
+29912 -76888 M
+/Times-Roman-ISOLatin1 F 1000 o f
+(17) h
+R
+
+showpage
+$P e
+
+$D restore
+%%Trailer
+end % DEC_WRITE_dict
+%%Pages: 17
+%%DocumentFonts: Times-Italic-ISOLatin1
+%%+ Times-Roman-ISOLatin1
+%%+ Times-Bold-ISOLatin1
+%%+ Helvetica-Bold-ISOLatin1
+%%+ Helvetica-ISOLatin1
+%%+ Symbol
+%%+ Courier-ISOLatin1
+%%+ Dutch801-Italic-DECmath_Italic
+%%+ Dutch801-Roman-DECmath_Extension
+%%+ Dutch801-Roman-DECmath_Symbol