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        <p style="Chapter Head" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">WAVELETS EXTENSION PACK</p>
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        <p style="Section Title" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Subband Extraction</p>
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        <phrase>subband extraction</phrase>
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        <phrase>get_subband function</phrase>
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        <phrase>get_subband2d function</phrase>
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                <c val="#000">get_smooth2d(M, l)</c>
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        <phrase>get_smooth2d function</phrase>
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        <phrase>get_detail function</phrase>
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                <c val="#000">get_detail2d(M, l, ds)</c>
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        <phrase>get_detail2d function</phrase>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">These functions extract a block of wavelet packet coefficients corresponding to a particular wavelet packet from an array of wavelet packet coefficients. Such a block of coefficients is referred to as a <f family="Times New Roman" charset="0"><i><inlineAttr font-weight="normal" line-through="false">subband</inlineAttr></i></f>. The arguments to these functions are:</p>
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              <c val="#008080">•</c>
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          <b>
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              <sp count="2" />w</c>
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          <c val="#000">,</c>
          <c val="#000"> the one-dimensional (1D) wavelet packet transform coefficients.</c>
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          <c val="#000">,</c>
          <c val="#000"> the two-dimensional (2D) wavelet packet transform coefficients.</c>
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        <phrase>2D wavelet packet coefficient</phrase>
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              <c val="#008080">• </c>
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          <c val="#000"> the level of the desired block/subband of coefficients.</c>
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          <c val="#000"> the index of the desired block/subband of coefficients.</c>
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              <c val="#008080">• </c>
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            <c val="#000">ds</c>
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          <c val="#000">, a string denoting either the horizontal, vertical, or </c>diagonal mother subband<c val="#000">.</c></p>
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        <p style="Heading 1" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">1D Subband Extraction</p>
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        <phrase>1D subband extraction</phrase>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">The function <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">get_subband</inlineAttr></b></f><sp /><f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">r</inlineAttr></f>eturns the <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">n</inlineAttr></b></f><f family="Times New Roman" charset="0" size="12"><inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"><sup>th</sup></inlineAttr></f> block of wavelet packet coefficients at level <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">l</inlineAttr></b></f> extracted from the wavelet packet transform <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">w</inlineAttr></b></f>. Setting <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">n</inlineAttr></b></f> = 0 gets the father wavelet coefficients and setting <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">n</inlineAttr></b></f> = 1 gets the mother wavelet coefficients. For example:</p>
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            <ml:real>1</ml:real>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="7" />
    </region>
    <region region-id="4500" left="186" top="546.75" width="160.5" height="14.25" align-x="186" align-y="558" 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="0" text-align="left" list-style-type="none" tabs="inherit">Create a test signal of random data.</p>
      </text>
    </region>
    <region region-id="4501" left="30" top="576.75" width="132" height="15.75" align-x="46.5" align-y="588" 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">w</ml:id>
          <ml:apply>
            <ml:id xml:space="preserve">dwt</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">v</ml:id>
              <ml:real>4</ml:real>
              <ml:apply>
                <ml:id xml:space="preserve">daublet</ml:id>
                <ml:real>12</ml:real>
              </ml:apply>
            </ml:sequence>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="8" />
    </region>
    <region region-id="4502" left="186" top="576.75" width="150.75" height="28.5" align-x="186" align-y="588" 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="0" text-align="left" list-style-type="none" tabs="inherit">Take the discrete wavelet transform of the signal.</p>
      </text>
    </region>
    <region region-id="4503" left="30" top="612.75" width="133.5" height="15.75" align-x="53.25" align-y="624" 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">sbf</ml:id>
          <ml:apply>
            <ml:id xml:space="preserve">get_subband</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">w</ml:id>
              <ml:real>3</ml:real>
              <ml:real>0</ml:real>
            </ml:sequence>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="9" />
    </region>
    <region region-id="4504" left="186" top="612.75" width="142.5" height="57" align-x="186" align-y="624" 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="0" text-align="left" list-style-type="none" tabs="inherit">Get the father (packet index 0) and mother (packet index 1) wavelet coefficients at level 3, and graph them:</p>
      </text>
    </region>
    <region region-id="4505" left="30" top="642.75" width="137.25" height="15.75" align-x="57" align-y="654" 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">sbm</ml:id>
          <ml:apply>
            <ml:id xml:space="preserve">get_subband</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">w</ml:id>
              <ml:real>3</ml:real>
              <ml:real>1</ml:real>
            </ml:sequence>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="10" />
    </region>
    <region region-id="4506" left="30" top="666.75" width="78" height="15.75" align-x="42" align-y="678" 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">j</ml:id>
          <ml:range>
            <ml:real>0</ml:real>
            <ml:apply>
              <ml:id xml:space="preserve">last</ml:id>
              <ml:id xml:space="preserve">sbf</ml:id>
            </ml:apply>
          </ml:range>
        </ml:define>
      </math>
      <rendering item-idref="11" />
    </region>
    <region region-id="4603" left="6" top="696" width="305.25" height="167.25" align-x="6" align-y="696" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <plot disable-calc="false" item-idref="12" />
      <rendering item-idref="13" />
    </region>
    <region region-id="4311" left="0" top="870" width="6000" height="6" align-x="0" align-y="870" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="4604" left="6" top="882" width="314.25" height="167.25" align-x="6" align-y="882" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <plot disable-calc="false" item-idref="14" />
      <rendering item-idref="15" />
    </region>
    <region region-id="4581" left="6" top="1050.75" width="318.75" height="85.5" align-x="6" align-y="1062" 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="0" text-align="left" list-style-type="none" tabs="inherit">To simplify the process of obtaining the father and mother wavelet coefficients, use the <f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">functions </inlineAttr></f><b>get_smooth(w, l)</b><f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false"> and </inlineAttr></f><b>get_detail(w, l). </b><f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">These functions </inlineAttr></f><f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">return, respectively, the father and mother </inlineAttr></f>wavelet packet coefficients at level <b>l</b> extracted from the wavelet packet transform <b>w</b>. You can use these functions to duplicate the results of calls to <b>get_subband</b> shown above.</p>
      </text>
      <indexes>
        <phrase>get_detail function</phrase>
        <phrase>get_smooth function</phrase>
      </indexes>
    </region>
    <region region-id="4582" left="30" top="1146.75" width="116.25" height="15.75" align-x="53.25" align-y="1158" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define warning="WarnRedefinedUDScalar">
          <ml:id xml:space="preserve">sbf</ml:id>
          <ml:apply>
            <ml:id xml:space="preserve">get_smooth</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">w</ml:id>
              <ml:real>3</ml:real>
            </ml:sequence>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="16" />
    </region>
    <region region-id="4583" left="30" top="1170.75" width="111" height="15.75" align-x="57" align-y="1182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define warning="WarnRedefinedUDScalar">
          <ml:id xml:space="preserve">sbm</ml:id>
          <ml:apply>
            <ml:id xml:space="preserve">get_detail</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">w</ml:id>
              <ml:real>3</ml:real>
            </ml:sequence>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="17" />
    </region>
    <region region-id="4584" left="30" top="1194.75" width="78" height="15.75" align-x="42" align-y="1206" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define warning="WarnRedefinedUDScalar">
          <ml:id xml:space="preserve">j</ml:id>
          <ml:range>
            <ml:real>0</ml:real>
            <ml:apply>
              <ml:id xml:space="preserve">last</ml:id>
              <ml:id xml:space="preserve">sbf</ml:id>
            </ml:apply>
          </ml:range>
        </ml:define>
      </math>
      <rendering item-idref="18" />
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    <region region-id="4605" left="6" top="1218" width="305.25" height="167.25" align-x="6" align-y="1218" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <plot disable-calc="false" item-idref="19" />
      <rendering item-idref="20" />
    </region>
    <region region-id="4518" left="0" top="1380" width="6000" height="6" align-x="0" align-y="1380" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="4606" left="6" top="1398" width="314.25" height="167.25" align-x="6" align-y="1398" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <plot disable-calc="false" item-idref="21" />
      <rendering item-idref="22" />
    </region>
    <region region-id="4475" left="0" top="1572" width="6000" height="6" align-x="0" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="4586" left="6" top="1584.75" width="115.5" height="14.25" align-x="6" align-y="1596" 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="Heading 1" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">2D Subband Extraction</p>
      </text>
      <indexes>
        <phrase>2D subband extraction</phrase>
      </indexes>
    </region>
    <region region-id="4587" left="30" top="1608.75" width="130.5" height="14.25" align-x="30" 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="Heading 1" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
          <f family="Times New Roman" charset="0" size="12">
            <b>
              <inlineAttr line-through="false">
                <c val="#000">get_subband2d(M, l, m, n)</c>
              </inlineAttr>
            </b>
          </f>
        </p>
      </text>
      <indexes>
        <phrase>get_subband2d function</phrase>
      </indexes>
    </region>
    <region region-id="4588" left="30" top="1632.75" width="98.25" height="14.25" align-x="30" align-y="1644" 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="Heading 1" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
          <f family="Times New Roman" charset="0" size="12">
            <b>
              <inlineAttr line-through="false">
                <c val="#000">get_smooth2d(M, l)</c>
              </inlineAttr>
            </b>
          </f>
        </p>
      </text>
      <indexes>
        <phrase>get_smooth2d function</phrase>
      </indexes>
    </region>
    <region region-id="4589" left="30" top="1656.75" width="107.25" height="14.25" align-x="30" align-y="1668" 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="Heading 1" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
          <f family="Times New Roman" charset="0" size="12">
            <b>
              <inlineAttr line-through="false">
                <c val="#000">get_detail2d(M, l, ds)</c>
              </inlineAttr>
            </b>
          </f>
        </p>
      </text>
      <indexes>
        <phrase>get_detail2d function</phrase>
      </indexes>
    </region>
    <region region-id="4591" left="6" top="1683.75" width="339" height="45.75" align-x="6" align-y="1698" 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="0" text-align="left" list-style-type="none" tabs="inherit">The functi<f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">on </inlineAttr></f><f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">get_subband2d</inlineAttr></b></f><f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false"><sp /></inlineAttr></f>extracts the (<f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">m,n</inlineAttr></b></f>)<inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"><sup><f family="Times New Roman" charset="0" size="12">th</f></sup></inlineAttr> subband of wavelet packet coefficients at level <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">l</inlineAttr></b></f> from the 2D wavelet packet transform <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">M</inlineAttr></b></f>. For example:</p>
      </text>
    </region>
    <region region-id="4607" left="174" top="1740.75" width="151.5" height="28.5" align-x="174" align-y="1752" 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="0" text-align="left" list-style-type="none" tabs="inherit">Read in the "clown" bitmap image and use it as a test signal.</p>
      </text>
    </region>
    <region region-id="4297" left="30" top="1746.75" width="130.5" height="15.75" align-x="48.75" align-y="1758" 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:apply>
            <ml:id xml:space="preserve">READBMP</ml:id>
            <ml:str xml:space="preserve">clown</ml:str>
          </ml:apply>
        </ml:define>
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    <region region-id="4613" left="30" top="1782" width="193.5" height="222" align-x="126" align-y="1782" 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="24" disable-calc="false">
        <inputs>
          <ml:id xml:space="preserve">M</ml:id>
        </inputs>
        <outputs />
      </component>
      <rendering item-idref="25" />
    </region>
    <region region-id="4300" left="30" top="2010.75" width="135.75" height="15.75" align-x="47.25" align-y="2022" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define warning="WarnRedefinedBIUnit">
          <ml:id xml:space="preserve">N</ml:id>
          <ml:apply>
            <ml:id xml:space="preserve">dwt</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">M</ml:id>
              <ml:real>3</ml:real>
              <ml:apply>
                <ml:id xml:space="preserve">symmlet</ml:id>
                <ml:real>8</ml:real>
              </ml:apply>
            </ml:sequence>
          </ml:apply>
        </ml:define>
      </math>
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    </region>
    <region region-id="4360" left="198" top="2010.75" width="144" height="28.5" align-x="198" align-y="2022" 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="0" text-align="left" list-style-type="none" tabs="inherit">Take the discrete wavelet transform of the test signal.</p>
      </text>
    </region>
    <region region-id="4302" left="30" top="2052.75" width="157.5" height="15.75" align-x="52.5" align-y="2064" 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">SB</ml:id>
          <ml:apply>
            <ml:id xml:space="preserve">get_subband2d</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">N</ml:id>
              <ml:real>2</ml:real>
              <ml:real>1</ml:real>
              <ml:real>0</ml:real>
            </ml:sequence>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="27" />
    </region>
    <region region-id="4361" left="198" top="2052.75" width="133.5" height="42.75" align-x="198" align-y="2064" 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="0" text-align="left" list-style-type="none" tabs="inherit">Get the mother/father wavelet (packet index (1,0)) coefficients at level 2.</p>
      </text>
    </region>
    <region region-id="4313" left="0" top="2100" width="6000" height="6" align-x="0" align-y="2100" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="4592" left="6" top="2112.75" width="341.25" height="28.5" align-x="6" align-y="2124" 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="0" text-align="left" list-style-type="none" tabs="inherit">To view the coefficients in a 3D surface plot, they are first scaled in the following manner:</p>
      </text>
    </region>
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      <math optimize="false" disable-calc="false">
        <ml:define warning="WarnRedefinedBIFunction">
          <ml:function>
            <ml:id xml:space="preserve">scale</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">M</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:program>
            <ml:localDefine>
              <ml:id xml:space="preserve">myMax</ml:id>
              <ml:apply>
                <ml:id xml:space="preserve">max</ml:id>
                <ml:id xml:space="preserve">M</ml:id>
              </ml:apply>
            </ml:localDefine>
            <ml:localDefine>
              <ml:id xml:space="preserve">myMin</ml:id>
              <ml:apply>
                <ml:id xml:space="preserve">min</ml:id>
                <ml:id xml:space="preserve">M</ml:id>
              </ml:apply>
            </ml:localDefine>
            <ml:apply>
              <ml:vectorize />
              <ml:apply>
                <ml:mult style="default" />
                <ml:apply>
                  <ml:div />
                  <ml:apply>
                    <ml:minus />
                    <ml:id xml:space="preserve">M</ml:id>
                    <ml:id xml:space="preserve">myMin</ml:id>
                  </ml:apply>
                  <ml:apply>
                    <ml:minus />
                    <ml:id xml:space="preserve">myMax</ml:id>
                    <ml:id xml:space="preserve">myMin</ml:id>
                  </ml:apply>
                </ml:apply>
                <ml:real>255</ml:real>
              </ml:apply>
            </ml:apply>
          </ml:program>
        </ml:define>
      </math>
      <rendering item-idref="28" />
    </region>
    <region region-id="4611" left="30" top="2256" width="278.25" height="225" align-x="168" align-y="2256" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <component hide-arguments="false" clsid-buddy="62e334b8-fdda-4b2b-9bb4-48def95f2af1" item-idref="29" disable-calc="false">
        <inputs>
          <ml:apply>
            <ml:id xml:space="preserve">scale</ml:id>
            <ml:id xml:space="preserve">SB</ml:id>
          </ml:apply>
        </inputs>
        <outputs />
      </component>
      <rendering item-idref="30" />
    </region>
    <region region-id="4593" left="6" top="2502.75" width="318.75" height="99.75" align-x="6" align-y="2514" 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="0" text-align="left" list-style-type="none" tabs="inherit">Similar to the 1D subband extraction functions, t<f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">he functions </inlineAttr></f><b>get_smooth2d</b><f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false"> and </inlineAttr></f><b>get_detail2d</b><f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false"> return, respectively, the father and mother </inlineAttr></f>wavelet packet coefficients at level <b>l</b> extracted from the 2D wavelet packet transform <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">M</inlineAttr></b></f>. The string argument <b><inlineAttr line-through="false"><f family="Times New Roman" charset="0">ds</f></inlineAttr></b> is set to "H," "V," or "D" to indicate the horizontal, vertical, or diagonal mother subbands, respectively. Examples using <b><c val="#000">get_smooth2d(M, l)</c></b> and <b><c val="#000">get_detail2d(M, l, ds)</c></b><b><sp /></b>are shown below.</p>
      </text>
      <indexes>
        <phrase>get_detail2d function</phrase>
        <phrase>get_smooth2d function</phrase>
      </indexes>
    </region>
    <region region-id="4540" left="0" top="2616" width="6000" height="6" align-x="0" align-y="2616" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
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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">Get the horizontal mother subband coefficients. Note that this is equivalent to the packet index (1,0) subband extraction above.</p>
      </text>
      <indexes>
        <phrase>horizontal mother subband coefficients</phrase>
        <phrase>mother subband coefficients, horizontal</phrase>
      </indexes>
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    <region region-id="4547" left="24" top="2664.75" width="150.75" height="15.75" align-x="54.75" align-y="2676" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
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              <ml:str xml:space="preserve">H</ml:str>
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        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Get the diagonal mother subband coefficients. Note that this is equivalent to the packet index (1,1) subband extraction.</p>
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      <indexes>
        <phrase>diagonal mother subband coefficients</phrase>
        <phrase>mother subband coefficients, diagonal</phrase>
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              <ml:str xml:space="preserve">D</ml:str>
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        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">And finally, get the father subband coefficients. Note that this is equivalent to the packet index (0,0) subband extraction.</p>
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