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\cellx4320\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr \brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2214 \cellx6534\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2214 \cellx8748\pard\plain \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\*\bkmkstart cs320_Dictionary}{\*\bkmkend cs320_Dictionary}{\field{\*\fldinst {HYPERLINK "..\\\\GIF\\\\Colors.doc"}{{\*\datafield 00d0c9ea79f9bace118c8200aa004ba90b02000000010000000303000000000000c00000000000004601000f0000004749465c436f6c6f72732e646f6300ffffadde0000000000000000000000000000000000000000220000001c00000003004700490046005c0043006f006c006f00720073002e0064006f0063000000}} }{\fldrslt {\cs18\ul\cf2 Previous lecture}}}{\cell }{\field{\*\fldinst {HYPERLINK "..\\\\Audio\\\\FFT.doc"}{{\*\datafield 00d0c9ea79f9bace118c8200aa004ba90b02000000010000000303000000000000c00000000000004601000e000000417564696f5c4646542e646f6300ffffadde0000000000000000000000000000000000000000200000001a000000030041007500640069006f005c004600460054002e0064006f00630000}} }{\fldrslt {\cs18\ul\cf2 Next Lecture}}}{\cell }{\field{\*\fldinst { HYPERLINK "..\\\\320Syllabus.doc" }{{\*\datafield 00d0c9ea79f9bace118c8200aa004ba90b02000000010000000303000000000000c00000000000004601001000000033323053796c6c616275732e646f6300ffffadde0000000000000000000000000000000000000000000000000000000000}}}{\fldrslt {\cs18\ul\cf2 Syllabus}}}{\cell } {\field{\*\fldinst { HYPERLINK "..\\\\..\\\\Homework\\\\Week8\\\\Week8.doc" }{{\*\datafield 00d0c9ea79f9bace118c8200aa004ba90b02000000010000000303000000000000c000000000000046020019000000486f6d65776f726b5c5765656b385c5765656b382e646f6300ffffadde00000000000000000000000000000000000000003600000030000000030048006f006d00650077006f0072006b005c00570065 0065006b0038005c005700650065006b0038002e0064006f00630000}}}{\fldrslt {\cs18\ul\cf2 Homework}}}{\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb \brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2214 \cellx2106\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2214 \cellx4320\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2214 \cellx6534\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2214 \cellx8748\row }\pard\plain \s1\ql \li0\ri0\sb240\sa60\keepn\widctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 \b\f1\fs28\lang1033\langfe1033\kerning28\cgrid\langnp1033\langfenp1033 {{\*\bkmkstart _cs320_fourier}{\*\bkmkend _cs320_fourier} Image Compression Theory \par }\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24 There are three forms of data redundancy: \par {\pntext\pard\plain\b \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \ql \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls1\pnrnot0\pndec\pnstart1\pnindent360\pnsp120\pnhang{\pntxta .}}\faauto\ls1\adjustright\rin0\lin360\itap0 {\b\fs24\ul Coding}{\fs24 : Can be reduced with variable length codes, such as Huffman. \par {\pntext\pard\plain\b \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \ql \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls1\pnrnot0\pndec\pnstart1\pnindent360\pnsp120\pnhang{\pntxta .}}\faauto\ls1\adjustright\rin0\lin360\itap0 {\b\fs24\ul Interpixel}{\fs24 : Adjacent image pixels are strongly correlated. You can make a reasonable guess of a pixel's value from its neighbors. The filters used by PNG include: \par }\pard \ql \li0\ri0\widctlpar{\*\pn \pnlvlcont\ilvl0\ls0\pnrnot0\pndec }\faauto\adjustright\rin0\lin0\itap0 {\fs24 \tab 1\tab Sub filter\tab Difference from pixel on left \par \tab 2\tab Up filter\tab Difference from pixel above \par \tab 3\tab Average filter\tab Difference from average of pixels to left and above \par \tab 4\tab Paeth filter\tab Difference from value predicted by neighbors. \par The Paeth filter looks at the three pixels to the left, upper left, and above. The predicted value is the one of those three pixels that lies on the direction of smallest change. \par \par {\pntext\pard\plain\b \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \ql \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls1\pnrnot0\pndec\pnstart1\pnindent360\pnsp120\pnhang{\pntxta .}}\faauto\ls1\adjustright\rin0\lin360\itap0 {\b\fs24\ul Psycho-visual}{\fs24 : Lots of stuff in images is unimportant to the eye. Eliminating it is called }{\i\fs24 quantization}{\fs24 and is lossy. \par }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 { \par }\pard\plain \s2\ql \li0\ri0\sa60\keepn\widctlpar\faauto\outlinelevel1\adjustright\rin0\lin0\itap0 \b\i\f1\fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\page Quantization \par }\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24 Often the original images are analog. When these are converted to digital, we need to consider how many pixels to use and how many bits per pixel. There is a trade-off between higher quality and smaller file size. \par \par Consider the images Marble24.png and Marble8.png from the CD for the text. The larger image (2 MB) is a 24-bit true color image. The smaller (606 KB) is a 256-color image. Can you tell the difference between these images? Is the larger image worth using three times as much disk space? T he uncompressed true color image would need 4.2 MB. \par \par }\pard\plain \s20\ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 { Suppose that we take the true color image and reduce the number of pixels. I used Adobe Photoshop to group blocks of pixels. This reduces the spatial resolution. How much loss of resolution is acceptable? How will the image be used? \par }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2088 \cellx1980\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth990 \cellx2970\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1620 \cellx4590\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb \brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1710 \cellx6300\pard\plain \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24 File\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Block\cell Effective size\cell File size (KB)\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl \brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2088 \cellx1980\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth990 \cellx2970\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1620 \cellx4590\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1710 \cellx6300 \row }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt \clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2088 \cellx1980\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth990 \cellx2970\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1620 \cellx4590\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb \brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1710 \cellx6300\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marble24.png\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 1x1\cell 1419x1001\cell 2033\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv \brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2088 \cellx1980\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth990 \cellx2970\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1620 \cellx4590\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1710 \cellx6300\row }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marb_2.png\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 2x2\cell 709x500\cell 772\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 { \fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt \clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2088 \cellx1980\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth990 \cellx2970\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1620 \cellx4590\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb \brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1710 \cellx6300\row }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marb_4.png\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 4x4 \cell 355x250\cell 250\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv \brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2088 \cellx1980\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth990 \cellx2970\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1620 \cellx4590\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1710 \cellx6300\row }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marb_8.png\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 8x8\cell 177x125\cell 97\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2088 \cellx1980\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth990 \cellx2970\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1620 \cellx4590\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb \brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1710 \cellx6300\row }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marb_16.png\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 16x16 \cell 87x63\cell 45\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv \brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2088 \cellx1980\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth990 \cellx2970\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1620 \cellx4590\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1710 \cellx6300\row }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb \brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2088 \cellx1980\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth990 \cellx2970\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1620 \cellx4590\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1710 \cellx6300\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marb_32.png\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 32x32\cell 44x31\cell 30\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2088 \cellx1980\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth990 \cellx2970\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1620 \cellx4590 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1710 \cellx6300\row }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 \par We can also reduce the colors used with Jasc Paint Shop Pro. How many colors do we need for this image? How many gray levels? \par }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth871 \cellx763\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1511 \cellx2274\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth877 \cellx3151\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb \brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1079 \cellx4230\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2250 \cellx6480\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth900 \cellx7380\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1080 \cellx8460\pard\plain \s4\qc \li0\ri0\keepn\widctlpar\intbl\faauto\outlinelevel3\adjustright\rin0\lin0 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {Palette size\cell }\pard\plain \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24 File\cell }\pard\plain \s4\qc \li0\ri0\keepn\widctlpar\intbl\faauto\outlinelevel3\adjustright\rin0\lin0 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {Colors used\cell }\pard\plain \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24 File size (KB)\cell }\pard \ql 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{\fs24 32\cell \cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth871 \cellx763\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1511 \cellx2274\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth877 \cellx3151 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1079 \cellx4230\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 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\cellx7380\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb \brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1080 \cellx8460\row }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 16\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marble4.png \cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 16\cell 312\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marbg4.png\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 16\cell 212\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth871 \cellx763\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1511 \cellx2274\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth877 \cellx3151 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1079 \cellx4230\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2250 \cellx6480\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth900 \cellx7380\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb \brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1080 \cellx8460\row }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 8\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marble3.png \cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 8\cell 213\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marbg3.png\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 8 \cell 129\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth871 \cellx763\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1511 \cellx2274\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth877 \cellx3151 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1079 \cellx4230\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2250 \cellx6480\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth900 \cellx7380\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb \brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1080 \cellx8460\row }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 4\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marble2.png \cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 4\cell 161\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marbg2.png\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 4 \cell 70\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth871 \cellx763\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1511 \cellx2274\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth877 \cellx3151 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1079 \cellx4230\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2250 \cellx6480\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth900 \cellx7380\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb \brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1080 \cellx8460\row }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth871 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\li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marble1.png\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 2\cell 81\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marbg1.png\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 2\cell 33\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth871 \cellx763\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1511 \cellx2274\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth877 \cellx3151 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1079 \cellx4230\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth2250 \cellx6480\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth900 \cellx7380\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb \brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1080 \cellx8460\row }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 \par [Gonzalez & Woods fig 2.11, 2.12] \par Looking ahead, there are more sophisticated methods for lossy compression, such as those used by JPEG. The true color image was saved in JPEG at six different levels of compression. How good are these? Which would you choose? \par }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1355\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2931 \pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 File\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 File size (KB)\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1355\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2931\row }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1355\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2931 \pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marb24a.jpg\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 1241\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1355\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2931\row }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marb24b.jpg\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 364\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1355\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2931\row }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marb24c.jpg\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 196\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1355\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2931\row }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marb24d.jpg\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 138\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1355\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2931\row }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marb24e.jpg\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 91\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1355\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2931\row }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1355\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2931 \pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Marb24f.jpg\cell }\pard \qc \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 71\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1355\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2931\row }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 \par }{ \par }\pard\plain \s2\ql \li0\ri0\sb240\sa60\keepn\widctlpar\faauto\outlinelevel1\adjustright\rin0\lin0\itap0 \b\i\f1\fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {{\*\bkmkstart CS320_IGS}{\*\bkmkend CS320_IGS}Improved Gray Scale (IGS) Quantization \par }\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24 When we take an analog photo or TV image and digitize it, we need to decide how many bits to use. The number of bits affects the quality and size of the image. We commonly use 8 bits for gray scale or 8 bits each for red, green and blue. Some applicati ons, such as medical imaging, use 12 bit gray scale. \par \par We can reduce an image file size by using fewer bits. \par [Gonzalez & Woods fig 6.4] \par The image on the left uses 8 bits per pixel. Each of the other two images uses 4 bits / pixel. \par Clearly IGS looks better than uniform quantization. \par With uniform quantization, you always truncate or round the least significant bits. \par With IGS, you pseudo-randomly truncate up or down. This avoids the false contouring of the middle image. \par Form a sum with a previous value (initially 0) and the lower 4 bits of the current 8 bit gray level. If there is a carry out of this 4-bit sum, add one to the upper 4 bits of the current gray level. Otherwise, use the upper 4-bits of the current gray le vel. Exception: if the upper 4 bits are 1111, keep them and reset the sum to the lower 4 bits of the current value. \par \par Example:}{ \par }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx1663\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx3434\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx5205\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr \brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx6976\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {Pixel\cell Gray level\cell Carry, Sum\cell IGS Code\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx1663\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx3434 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx5205\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx6976\row }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx1663\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx3434\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx5205 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx6976\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {i - 1\cell }{\f2 \cell 0000\cell \cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx1663\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx3434\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx5205 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx6976\row }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {i\cell }{\f2 0110 1100\cell 0 1100 \cell 0110\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx1663\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx3434\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx5205 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx6976\row }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {i + 1\cell }{\f2 1000 1011\cell 1 0111\cell 1001\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx1663\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx3434\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx5205 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx6976\row }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {i + 2\cell }{\f2 1000 0111\cell 0 1110\cell 1000\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx1663\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx3434\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx5205 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx6976\row }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx1663\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx3434\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx5205\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx6976\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {i + 3\cell }{\f2 1111 0100\cell 0 0100\cell 1111\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx1663\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx3434\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx5205\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1771 \cellx6976\row }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 { \par }\pard\plain \s2\ql \li0\ri0\sb240\sa60\keepn\widctlpar\faauto\outlinelevel1\adjustright\rin0\lin0\itap0 \b\i\f1\fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs20 \page }{{\*\bkmkstart CS320_Fidelity}{\*\bkmkend CS320_Fidelity} Fidelity Criteria \par }\pard\plain \s3\ql \li0\ri0\sb240\sa60\keepn\widctlpar\faauto\outlinelevel2\adjustright\rin0\lin0\itap0 \f1\fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {Objective \par }\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24 Let I(c,r) be the original image and I'(c,r) an approximation that has been compressed and decompressed. Let 0<= c < M, 0<= r < N. The error between the images at a pixel is \par }\pard \qc \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 e(c,r) = I'(c,r) - I(c,r) \par }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 The }{\i\fs24 mean-absolute error}{\fs24 (used in }{\field{\*\fldinst {\fs24 HYPERLINK "..\\\\Mpeg\\\\MPEG.doc" \\l "MPEG_motion" }{\fs24 {\*\datafield 08d0c9ea79f9bace118c8200aa004ba90b02000000090000000303000000000000c00000000000004601000e0000004d7065675c4d5045472e646f6300ffffadde0000000000000000000000000000000000000000200000001a00000003004d007000650067005c004d005000450047002e0064006f0063000c0000004d00 5000450047005f006d006f00740069006f006e00000000000000}}}{\fldrslt {\cs18\fs24\ul\cf2 MPEG}}}{\fs24 ) is: \par }\pard \qc \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\pard\plain \qc \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\object\objemb\objw3501\objh680{\*\objclass Equation.3} {\*\objdata 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fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0 \picw6174\pich1199\picwgoal3500\pichgoal680\wmetafile8\bliptag1945093758\blipupi685{\*\blipuid 73efc67ee245496e2067875f9b7633a6} 010009000003b502000003001c00000000000500000009020000000005000000020101000000050000000102ffffff00050000002e0118000000050000003102 01000000050000000b0200000000050000000c024004e0151200000026060f001a00ffffffff000010000000c0ffffffb1ffffffa0150000f10300000b000000 26060f000c004d617468547970650000e00008000000fa0200001000000000000000040000002d010000050000001402200223040500000013022002e9070500 000014023a01f80b0500000013020603f80b0500000014023a017a1505000000130206037a151c000000fb02c0fd000000000000900100000002000200105379 6d626f6c000081050a2e4a88ed775388ed77d067ef7781050a2e00000a00040000002d01010008000000320ad902410801000000e57908000000320ad902140a 01000000e5791c000000fb0220ff0000000000009001000000020002001053796d626f6c00003d030aa04a88ed775388ed77d067ef773d030aa000000a000400 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630008000000320af8049307010000004e0008000000320aec07a00701000000720008000000320afc008208010000004d0008000000320af003a70801000000 630008000000320afc00720a010000004e0008000000320af0037f0a01000000720008000000320ae004df02020000006d7315000000fb0280fe000000000000 9001010000000402001054696d6573204e657720526f6d616e002c00040000002d01020004000000f001010008000000320a7e06a41101000000720008000000 320a7e06641001000000630008000000320a7e06330f01000000490008000000320a7e069a0c01000000720008000000320a7e065a0b01000000630008000000 320a7e06c00901000000490008000000320a82021f0f01000000720008000000320a8202df0d01000000630008000000320a8202450c01000000490009000000 320a8004400003000000534e52000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d006e040000002d01010004000000f0010200030000000000000000000000000000}}{\fs24 \par }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 The }{\i\fs24 rms}{\fs24 }{\i\fs24 signal-to-noise ratio}{\fs24 is }{\fs24\dn14 {\pict{\*\picprop\shplid1028{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}} {\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}} {\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0 \picw3104\pich741\picwgoal1760\pichgoal420\wmetafile8\bliptag-1063538211\blipupi-798{\*\blipuid c09bb1dd3d5e55b4e727d9d9c4fd6107} 0100090000032b0100000400150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000 050000000b0200000000050000000c02a002000b1200000026060f001a00ffffffff000010000000c0ffffffb6ffffffc00a0000560200000b00000026060f00 0c004d617468547970650000700009000000fa02000010000000000000002200040000002d010000050000001402a001e2050500000013028401130609000000 fa02000020000000000000002200040000002d0101000500000014028c01130605000000130233025a06040000002d0100000500000014023302620605000000 13025200c0060500000014025200c0060500000013025200af0a15000000fb0220ff0000000000009001010000000402001054696d6573204e657720526f6d61 6e002100040000002d01020008000000320a20027d09020000006d7309000000320a2002df0203000000726d730015000000fb0280fe00000000000090010100 00000402001054696d6573204e657720526f6d616e002d00040000002d01030004000000f001020009000000320ac001de0603000000534e520009000000320a c001400003000000534e520010000000fb0280fe0000000000009001000000020002001053796d626f6c0000040000002d01020004000000f001030008000000 320ac001ab04010000003d000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d006e040000002d01030004000000f0010200030000000000000000000000000000}}{\fs24 \par }\pard\plain \s3\ql \li0\ri0\sb240\sa60\keepn\widctlpar\faauto\outlinelevel2\adjustright\rin0\lin0\itap0 \f1\fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {Subjective \par }\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24 People rate typical decompressed images. The rating scale may be: \par {\pntext\pard\plain\hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \ql \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0\pndec\pnstart1\pnindent360\pnsp120\pnhang{\pntxta .}}\faauto\ls2\adjustright\rin0\lin360\itap0 {\fs24 Excellent \par {\pntext\pard\plain\hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \ql \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0\pndec\pnstart1\pnindent360\pnsp120\pnhang{\pntxta .}}\faauto\ls2\adjustright\rin0\lin360\itap0 {\fs24 Fine \par {\pntext\pard\plain\hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \ql \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0\pndec\pnstart1\pnindent360\pnsp120\pnhang{\pntxta .}}\faauto\ls2\adjustright\rin0\lin360\itap0 {\fs24 Passable \par {\pntext\pard\plain\hich\af0\dbch\af0\loch\f0 4.\tab}}\pard \ql \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0\pndec\pnstart1\pnindent360\pnsp120\pnhang{\pntxta .}}\faauto\ls2\adjustright\rin0\lin360\itap0 {\fs24 Marginal \par {\pntext\pard\plain\hich\af0\dbch\af0\loch\f0 5.\tab}}\pard \ql \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0\pndec\pnstart1\pnindent360\pnsp120\pnhang{\pntxta .}}\faauto\ls2\adjustright\rin0\lin360\itap0 {\fs24 Inferior \par {\pntext\pard\plain\hich\af0\dbch\af0\loch\f0 6.\tab}}\pard \ql \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0\pndec\pnstart1\pnindent360\pnsp120\pnhang{\pntxta .}}\faauto\ls2\adjustright\rin0\lin360\itap0 {\fs24 Unusable \par }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 \par \par Example for the quantized images in figure 6-4 \par }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1168\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2264 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx3307\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \cell }{\b\fs24\ul Uniform\cell IGS\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1168\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2264\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx3307\row }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1168\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2264 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx3307\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Rms errors\cell 6.93\cell 6.78\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1168\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2264\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx3307\row }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Rms SNR\cell 10.25\cell 10.39\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb \brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1168\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2264\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr \brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx3307\row }\trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1168\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl \brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2264\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx3307\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 Subjective\cell Marginal\cell Passable\cell }\pard \ql \li0\ri0\widctlpar\intbl\faauto\adjustright\rin0\lin0 {\fs24 \trowd \trgaph108\trleft-108\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr \brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx1168\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx2264\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb \brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth1 \cellx3307\row }\pard\plain \s2\ql \li0\ri0\sb240\sa60\keepn\widctlpar\faauto\outlinelevel1\adjustright\rin0\lin0\itap0 \b\i\f1\fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 { \par }}