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    <title>mmasfrec</title>
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        <td class="index">
                  [<a href="../morph/mmareaopen.html"><tt>mmareaopen</tt></a>]
              
                  [<a href="index.html">Up</a>]
                  
                  [<a href="../morph/mmcloserec.html"><tt>mmcloserec</tt></a>]
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        <td class="title">Connected Operators</td>
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    <h1>mmasfrec
      <br>
      <span class="subtitle">Reconstructive Alternating Sequential Filtering
</span>
    </h1>
    <div class="synopsis">
      <H2>Synopsis</H2>
      <div class="H2">
        <div class="prototype">y = 
          <span class="fun">mmasfrec</span>(
                  
          <span class="par">f</span>, 
          <span class="par">SEQ</span> = "OC", 
          <span class="par">b</span> = None, 
          <span class="par">bc</span> = None, 
          <span class="par">n</span> = 1
                  )
        </div>
        <p>Implemented in 
          <b>Python.</b>
        </p>
        <div class="input">
          <H3>Input</H3>
          <div class="H3">
            <table class="deflist">
              <tbody valign="baseline">
                <tr>
                  <td class="term"><span class="par">f</span></td>
                  <td class="def"><span class="type"><a href="../mmtypes/mmImage.html">Image</a></span>          Gray-scale (uint8 or uint16) or binary image.
                        </td>
                </tr>
                <tr>
                  <td class="term"><span class="par">SEQ</span></td>
                  <td class="def"><span class="type"><a href="../mmtypes/mmString.html">String</a></span><p>Values: "OC" or "CO".</p><p>Default: 
                      <code>"OC"</code>
                    </p></td>
                </tr>
                <tr>
                  <td class="term"><span class="par">b</span></td>
                  <td class="def"><span class="type"><a href="../mmtypes/mmSe.html">Structuring Element</a></span><p>Default: 
                      <code>None</code> (3x3 elementary cross)
                    </p></td>
                </tr>
                <tr>
                  <td class="term"><span class="par">bc</span></td>
                  <td class="def"><span class="type"><a href="../mmtypes/mmSe.html">Structuring Element</a></span><p>Default: 
                      <code>None</code> (3x3 elementary cross)
                    </p></td>
                </tr>
                <tr>
                  <td class="term"><span class="par">n</span></td>
                  <td class="def"><span class="type"><a href="../mmtypes/mmDouble.html">Double</a></span>      Non-negative integer.
                          <p>(number of iterations).</p><p>Default: 
                      <code>1</code>
                    </p></td>
                </tr>
              </tbody>
            </table>
          </div>
        </div>
        <div class="output">
          <H3>Output</H3>
          <div class="H3">
            <table class="deflist">
              <tbody valign="baseline">
                <tr>
                  <td class="term"><span class="par">y</span></td>
                  <td class="def"><span class="type"><a href="../mmtypes/mmImage.html">Image</a></span><p>Same type of 
                      <code>f</code>
                    </p></td>
                </tr>
              </tbody>
            </table>
          </div>
        </div>
      </div>
    </div>
    <div class="descr">
      <H2>Description</H2>
      <div class="H2">
        <p>
          <code><span class="fun">mmasf</span></code> creates the image 
          <code>y</code> by filtering the image 
          <code>f</code> by 
          <code>n</code> iterations of the close by reconstruction and open by reconstruction alternating sequential filter characterized by the structuring element 
          <code>b</code>. The structure element 
          <code>bc</code> is used in the reconstruction. The sequence of opening and closing is controlled by the parameter 
          <code>SEQ</code>. 'OC' performs opening after closing, and 'CO' performs closing after opening.
                  
        </p>
      </div>
    </div>
    <div class="examples">
      <H2>Examples</H2>
      <div class="H2">
        <p>
          <div class="example">
            <div class="listing">
              <pre class="user">&gt;&gt;&gt; f=mmreadgray('fabric.tif')</pre>
              <pre class="computer"></pre>
              <pre class="user">&gt;&gt;&gt; g=mmasfrec(f,'oc',mmsecross(),mmsecross(),3)</pre>
              <pre class="computer"></pre>
              <pre class="user">&gt;&gt;&gt; mmshow(f)</pre>
              <pre class="computer"></pre>
              <pre class="user">&gt;&gt;&gt; mmshow(g)</pre>
              <pre class="computer"></pre>
            </div>
            <table class="images">
              <tbody align="center">
                <tr class="image" valign="bottom">
                  <td><img width="273" src="../images/img_mmasfrec_001.jpg"></td>
                  <td><img width="273" src="../images/img_mmasfrec_002.jpg"></td>
                  <td class="spare"></td>
                </tr>
                <tr class="title" valign="baseline">
                  <td><a href="../images/img_mmasfrec_001.jpg">f</a></td>
                  <td><a href="../images/img_mmasfrec_002.jpg">g</a></td>
                  <td class="spare"></td>
                </tr>
              </tbody>
            </table>
          </div>
        </p>
      </div>
    </div>
    <div class="equation">
      <H2>Equation</H2>
      <div class="H2">
        <p>
          <div class="bridge">Case oc, reconstructive close-open filter:</div>
          <div class="eqfig">
            <img src="../images/eq_mmasfrec001.png">
          </div>
          <div class="bridge">Case co, reconstructive open-close filter:</div>
          <div class="eqfig">
            <img src="../images/eq_mmasfrec002.png">
          </div>
        </p>
      </div>
    </div>
    <div class="sourcecode">
      <H2>Source Code</H2>
      <div class="H2">
        <pre class="listing">
def mmasfrec(f, SEQ="OC", b=None, bc=None, n=1):
    from string import upper
    if b is None: b = mmsecross()
    if bc is None: bc = mmsecross()
    SEQ = upper(SEQ)
    y = f
    if SEQ == 'OC':
        for i in range(1,n+1):
            nb = mmsesum(b,i)
            y = mmcloserec(y,nb,bc)
            y = mmopenrec(y,nb,bc)
    elif SEQ == 'CO':
        for i in range(1,n+1):
            nb = mmsesum(b,i)
            y = mmopenrec(y,nb,bc)
            y = mmcloserec(y,nb,bc)
    else:
        assert 0,'Only accepts OC or CO for SEQ parameter'
    return y
    </pre>
      </div>
    </div>
    <div class="seealso">
      <H2>See also</H2>
      <div class="H2">
        <table class="deflist">
          <tbody valign="baseline">
            <tr>
              <td class="term"><a href="../morph/mmasf.html">mmasf</a></td>
              <td class="def">Alternating Sequential Filtering</td>
            </tr>
            <tr>
              <td class="term"><a href="../morph/mmsebox.html">mmsebox</a></td>
              <td class="def">Create a box structuring element.</td>
            </tr>
            <tr>
              <td class="term"><a href="../morph/mmsecross.html">mmsecross</a></td>
              <td class="def">Diamond structuring element and elementary 3x3 cross.</td>
            </tr>
            <tr>
              <td class="term"><a href="../morph/mmopenrec.html">mmopenrec</a></td>
              <td class="def">Opening by reconstruction.</td>
            </tr>
            <tr>
              <td class="term"><a href="../morph/mmcloserec.html">mmcloserec</a></td>
              <td class="def">Closing by reconstruction.</td>
            </tr>
            <tr>
              <td class="term"><a href="../morph/mmfreedom.html">mmfreedom</a></td>
              <td class="def">Control automatic data type conversion.</td>
            </tr>
          </tbody>
        </table>
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          <td class="copyright">Copyright (c) 2003, Roberto A. Lotufo, UNICAMP-University of Campinas; Rubens C. Machado, CenPRA-Renato Archer Research Center.</td>
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