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            <c val="#008080">IMAGE MANIPULATION</c>
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              <c val="#800080">Binarization and Quantization</c>
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        <phrase>binarization</phrase>
        <phrase>quantization</phrase>
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              <c val="#800000">binarize(M, thresh)</c>
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              <c val="#800000">binarize_auto(M</c>
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        <phrase>binarize_auto function</phrase>
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      <text use-page-width="false" push-down="false" lock-width="true">
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                <c val="#800000">binarize2(M, lowThresh, highThresh, inValue, outValue)</c>
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        <phrase>binarize2 function</phrase>
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      <text use-page-width="false" push-down="false" lock-width="true">
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            <inlineAttr font-style="normal">
              <c val="#800000">imquant(M, n</c>
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              <c val="#800000">)</c>
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        <phrase>imquant function</phrase>
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      <text use-page-width="false" push-down="false" lock-width="true">
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                <c val="#800000">imquant2(M, v)</c>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">These functions allow you to change the number of gray (or color) levels in an image. Binarization produces an image with only<f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false"> two</inlineAttr></f> levels. Quantization produces an image with <f family="Times New Roman" charset="0"><i><inlineAttr font-weight="normal" line-through="false">n</inlineAttr></i></f> levels. Binarization and quantization can be used for enhancing features of an image by choosing the appropriate threshold or number of levels. They can also be a first step in analysis of an image.</p>
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              <c val="#008080">•</c>
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            <inlineAttr font-style="normal" line-through="false">thresh</inlineAttr>
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          <inlineAttr font-style="normal">,</inlineAttr> the threshold level for binarization, or</p>
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              <c val="#008080">• </c>
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              <c val="#008080">• </c>
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            <inlineAttr font-style="normal" line-through="false">inValue</inlineAttr>
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          <inlineAttr font-style="normal">, </inlineAttr>or</p>
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              <c val="#008080">• </c>
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              <b>v</b>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Each function returns another matrix, which is an image with the specified transformation applied.</p>
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      <text use-page-width="false" push-down="false" lock-width="true">
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            <c val="#800000">Function Details</c>
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            <b>
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                <c val="#800000">binarize(M, thresh)</c>
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        <phrase>binarize function</phrase>
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      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">For each element, returns <f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">0</inlineAttr></f> if the element<inlineAttr font-weight="normal" line-through="false"><sp /></inlineAttr><f family="Symbol" charset="2"><inlineAttr font-weight="normal" line-through="false">£ </inlineAttr></f><inlineAttr font-weight="normal" line-through="false">thresh</inlineAttr>; <f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">1 </inlineAttr></f>otherwise.</p>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Read in an example bitmap:</p>
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        <ml:define>
          <ml:id xml:space="preserve">bridgegray</ml:id>
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            <ml:id xml:space="preserve">READ_IMAGE</ml:id>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Set a threshold:</p>
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          <ml:real>128</ml:real>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Produce a binarized image:</p>
      </text>
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    <region region-id="363" left="42" top="828.75" width="151.5" height="15.75" align-x="57.75" align-y="840" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">B</ml:id>
          <ml:apply>
            <ml:id xml:space="preserve">binarize</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">bridgegray</ml:id>
              <ml:id xml:space="preserve">thresh</ml:id>
            </ml:sequence>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="10" />
    </region>
    <region region-id="581" left="0" top="858" width="6000" height="6" align-x="0" align-y="858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="613" left="18" top="876" width="176.25" height="190.5" align-x="105" align-y="876" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <component hide-arguments="false" clsid-buddy="8442da2d-08d7-45ad-a4a6-f28bee6ae06a" item-idref="11" disable-calc="false">
        <inputs>
          <ml:apply>
            <ml:id xml:space="preserve">scale</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">B</ml:id>
              <ml:real>0</ml:real>
              <ml:real>255</ml:real>
            </ml:sequence>
          </ml:apply>
        </inputs>
        <outputs />
      </component>
      <rendering item-idref="12" />
    </region>
    <region region-id="527" left="6" top="1074.75" width="326.25" height="14.25" align-x="6" align-y="1086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Try changing the value of <f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">thresh</inlineAttr></f> to see the effect on this grayscale image.</p>
      </text>
    </region>
    <region region-id="585" left="6" top="1104.75" width="90.75" height="14.25" align-x="6" align-y="1116" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
          <b>
            <c val="#800000">Function Details</c>
          </b>
        </p>
      </text>
    </region>
    <region region-id="586" left="126" top="1104.75" width="86.25" height="14.25" align-x="126" align-y="1116" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
          <f family="Times New Roman" charset="0">
            <b>
              <inlineAttr font-style="normal" line-through="false">
                <c val="#800000">binarize_auto(M)</c>
              </inlineAttr>
            </b>
          </f>
        </p>
      </text>
      <indexes>
        <phrase>binarize_auto function</phrase>
      </indexes>
    </region>
    <region region-id="534" left="6" top="1122.75" width="282.75" height="156.75" align-x="6" align-y="1134" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This function works like <b>binarize</b>, but it chooses a threshold value automatically, assuming a bimodal distribution of "foreground" and "background" pixels. The algorithm uses a criterion due to Kittler and Illingworth that minimizes the fit between the actual pixel histogram and the assumed bimodal distribution (see R. M. Harlick and L. G. Shapiro, <f family="Times New Roman" charset="0"><i><inlineAttr line-through="false">Computer and Robot Vision, Vol. 1</inlineAttr></i></f>, Addison-Wesley, 1992). </p>
        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit" />
        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Automatic binarization is useful in machine vision applications to pick out items of interest. Let's apply it to a grayscale digitized photo of an industrial part:</p>
      </text>
    </region>
    <region region-id="535" left="36" top="1284.75" width="180.75" height="15.75" align-x="81.75" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">partgray</ml:id>
          <ml:apply>
            <ml:id xml:space="preserve">READ_IMAGE</ml:id>
            <ml:str xml:space="preserve">part.gif</ml:str>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="13" />
    </region>
    <region region-id="536" left="36" top="1308.75" width="157.5" height="15.75" align-x="75.75" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">partbin</ml:id>
          <ml:apply>
            <ml:id xml:space="preserve">binarize_auto</ml:id>
            <ml:id xml:space="preserve">partgray</ml:id>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="14" />
    </region>
    <region region-id="582" left="0" top="1332" width="6000" height="6" align-x="0" align-y="1332" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="539" left="6" top="1344.75" width="185.25" height="28.5" align-x="6" align-y="1356" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Input image with contrast adjusted to see grayscales:</p>
      </text>
    </region>
    <region region-id="538" left="216" top="1344.75" width="73.5" height="14.25" align-x="216" align-y="1356" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Binarized image:</p>
      </text>
    </region>
    <region region-id="629" left="6" top="1380" width="180" height="189" align-x="95.25" align-y="1380" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <component hide-arguments="false" clsid-buddy="8442da2d-08d7-45ad-a4a6-f28bee6ae06a" item-idref="15" disable-calc="false">
        <inputs>
          <ml:id xml:space="preserve">partgray</ml:id>
        </inputs>
        <outputs />
      </component>
      <rendering item-idref="16" />
    </region>
    <region region-id="628" left="216" top="1380" width="174.75" height="190.5" align-x="302.25" align-y="1380" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <component hide-arguments="false" clsid-buddy="8442da2d-08d7-45ad-a4a6-f28bee6ae06a" item-idref="17" disable-calc="false">
        <inputs>
          <ml:apply>
            <ml:mult style="default" />
            <ml:id xml:space="preserve">partbin</ml:id>
            <ml:real>255</ml:real>
          </ml:apply>
        </inputs>
        <outputs />
      </component>
      <rendering item-idref="18" />
    </region>
    <region region-id="587" left="6" top="1590.75" width="90.75" height="14.25" align-x="6" align-y="1602" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
          <b>
            <c val="#800000">Function Details</c>
          </b>
        </p>
      </text>
    </region>
    <region region-id="588" left="108" top="1590.75" width="286.5" height="14.25" align-x="108" align-y="1602" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
          <b>
            <inlineAttr font-style="normal">
              <c val="#800000">binarize2(M, lowThresh, highThresh, inValue, outValue)</c>
            </inlineAttr>
          </b>
        </p>
      </text>
      <indexes>
        <phrase>binarize2 function</phrase>
      </indexes>
    </region>
    <region region-id="438" left="6" top="1608.75" width="330" height="71.25" align-x="6" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This is a more flexible version of <f family="Times New Roman" charset="0"><b><inlineAttr font-style="normal" line-through="false">binarize</inlineAttr></b></f>. It sets all levels between<f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false"> lowThresh and highThresh to inValue, and all the rest of the image to outValue. The values for the input parameters are arbitrary and do not have to be between 0 and 255. outValue and inValue may be the same, in which case the entire image is set to one level only.</inlineAttr></f></p>
      </text>
    </region>
    <region region-id="429" left="6" top="1692.75" width="328.5" height="28.5" align-x="6" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Set the image levels between 50 and 150 to 25, and the rest of the levels to 200:</p>
      </text>
    </region>
    <region region-id="583" left="0" top="1728" width="6000" height="6" align-x="0" align-y="1728" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="545" left="48" top="1740.75" width="214.5" height="15.75" align-x="69.75" align-y="1752" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">B2</ml:id>
          <ml:apply>
            <ml:id xml:space="preserve">binarize2</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">bridgegray</ml:id>
              <ml:real>50</ml:real>
              <ml:real>150</ml:real>
              <ml:real>25</ml:real>
              <ml:real>200</ml:real>
            </ml:sequence>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="19" />
    </region>
    <region region-id="544" left="6" top="1758.75" width="330.75" height="28.5" align-x="6" align-y="1770" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Note that the contrast was automatically adjusted in the picture operator, so that the pixels with value 25 are black and value 200 are white.</p>
      </text>
    </region>
    <region region-id="635" left="12" top="1794" width="168" height="192" align-x="95.25" align-y="1794" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <component hide-arguments="false" clsid-buddy="8442da2d-08d7-45ad-a4a6-f28bee6ae06a" item-idref="20" disable-calc="false">
        <inputs>
          <ml:id xml:space="preserve">B2</ml:id>
        </inputs>
        <outputs />
      </component>
      <rendering item-idref="21" />
    </region>
    <region region-id="642" left="6" top="1998.75" width="327.75" height="28.5" align-x="6" align-y="2010" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">This function may be useful to emphasize or de-emphasize particular ranges of levels.</p>
      </text>
    </region>
    <region region-id="553" left="6" top="2040.75" width="90.75" height="14.25" align-x="6" align-y="2052" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
          <b>
            <c val="#800000">Function Details</c>
          </b>
        </p>
      </text>
    </region>
    <region region-id="552" left="120" top="2040.75" width="72" height="14.25" align-x="120" align-y="2052" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
          <b>
            <inlineAttr font-style="normal">
              <c val="#800000">imquant(M, n)</c>
            </inlineAttr>
          </b>
        </p>
      </text>
      <indexes>
        <phrase>imquant function</phrase>
      </indexes>
    </region>
    <region region-id="551" left="6" top="2058.75" width="328.5" height="14.25" align-x="6" align-y="2070" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Replaces the levels of <inlineAttr font-weight="normal" line-through="false">M with n levels 2 </inlineAttr><f family="Symbol" charset="2"><inlineAttr font-weight="normal" line-through="false">£</inlineAttr></f><inlineAttr font-weight="normal" line-through="false"> n </inlineAttr><f family="Symbol" charset="2"><inlineAttr font-weight="normal" line-through="false">£</inlineAttr></f><inlineAttr font-weight="normal" line-through="false"> 256. n must be an integer. </inlineAttr></p>
      </text>
    </region>
    <region region-id="372" left="180" top="2094.75" width="30" height="15.75" align-x="193.5" align-y="2106" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">n</ml:id>
          <ml:real>4</ml:real>
        </ml:define>
      </math>
      <rendering item-idref="22" />
    </region>
    <region region-id="562" left="48" top="2079.75" width="116.25" height="57.75" align-x="66.75" align-y="2112" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">M</ml:id>
          <ml:matrix rows="3" cols="3">
            <ml:real>0</ml:real>
            <ml:real>23</ml:real>
            <ml:real>242</ml:real>
            <ml:real>100</ml:real>
            <ml:real>39</ml:real>
            <ml:real>255</ml:real>
            <ml:real>98</ml:real>
            <ml:real>148</ml:real>
            <ml:real>32</ml:real>
          </ml:matrix>
        </ml:define>
      </math>
      <rendering item-idref="23" />
    </region>
    <region region-id="563" left="48" top="2145.75" width="177" height="57.75" align-x="122.25" align-y="2178" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:eval>
          <ml:apply>
            <ml:id xml:space="preserve">imquant</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">M</ml:id>
              <ml:id xml:space="preserve">n</ml:id>
            </ml:sequence>
          </ml:apply>
          <result xmlns="http://schemas.mathsoft.com/math20">
            <ml:matrix rows="3" cols="3">
              <ml:real>0</ml:real>
              <ml:real>0</ml:real>
              <ml:real>255</ml:real>
              <ml:real>85</ml:real>
              <ml:real>0</ml:real>
              <ml:real>255</ml:real>
              <ml:real>85</ml:real>
              <ml:real>170</ml:real>
              <ml:real>0</ml:real>
            </ml:matrix>
          </result>
        </ml:eval>
        <resultFormat>
          <general precision="2" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3" />
          <matrix display-style="auto" expand-nested-arrays="false" />
          <unit format-units="false" simplify-units="false" />
        </resultFormat>
      </math>
      <rendering item-idref="24" />
    </region>
    <region region-id="554" left="6" top="2214.75" width="288.75" height="14.25" align-x="6" align-y="2226" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Try changing the value of <f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">n </inlineAttr></f>and see how this changes the output.</p>
      </text>
    </region>
    <region region-id="556" left="6" top="2238.75" width="312.75" height="28.5" align-x="6" align-y="2250" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Now, experiment with the effect this produces on the grayscale image used above.</p>
      </text>
    </region>
    <region region-id="589" left="0" top="2274" width="6000" height="6" align-x="0" align-y="2274" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="564" left="48" top="2286.75" width="49.5" height="15.75" align-x="81" align-y="2298" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">levels</ml:id>
          <ml:real>3</ml:real>
        </ml:define>
      </math>
      <rendering item-idref="25" />
    </region>
    <region region-id="565" left="48" top="2310.75" width="151.5" height="15.75" align-x="65.25" align-y="2322" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">Q</ml:id>
          <ml:apply>
            <ml:id xml:space="preserve">imquant</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">bridgegray</ml:id>
              <ml:id xml:space="preserve">levels</ml:id>
            </ml:sequence>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="26" />
    </region>
    <region region-id="638" left="12" top="2340" width="193.5" height="222" align-x="108" align-y="2340" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <component hide-arguments="false" clsid-buddy="8442da2d-08d7-45ad-a4a6-f28bee6ae06a" item-idref="27" disable-calc="false">
        <inputs>
          <ml:id xml:space="preserve">Q</ml:id>
        </inputs>
        <outputs />
      </component>
      <rendering item-idref="28" />
    </region>
    <region region-id="568" left="6" top="2586.75" width="90.75" height="14.25" align-x="6" align-y="2598" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
          <b>
            <c val="#800000">Function Details</c>
          </b>
        </p>
      </text>
    </region>
    <region region-id="569" left="114" top="2586.75" width="90" height="14.25" align-x="114" align-y="2598" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
          <b>
            <inlineAttr font-style="normal">
              <c val="#800000">imquant2(M, v)</c>
            </inlineAttr>
          </b>
        </p>
      </text>
      <indexes>
        <phrase>imquant2 function</phrase>
      </indexes>
    </region>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">strictly ascending, but they may be any real number. This specification is useful if you want to use quantization levels which are not uniformly spaced within the range of the given image.</p>
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        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Define vector of 3 quantization levels:</p>
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        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Compare this 3-level quantization with the previous one.</p>
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