<html> <head> <meta content="text/html; charset=ISO-8859-1" http-equiv="Content-Type"> <title>mmclose</title> <link href="../tbxdok.css" rel="stylesheet"> </head> <body> <table class="topNav"> <tr> <td class="index"> [<a href="../morph/mmasf.html"><tt>mmasf</tt></a>] [<a href="index.html">Up</a>] [<a href="../morph/mmopen.html"><tt>mmopen</tt></a>] </td> <td class="title">Morphological Filters</td> </tr> </table> <h1>mmclose <br> <span class="subtitle">Morphological closing. </span> </h1> <div class="synopsis"> <H2>Synopsis</H2> <div class="H2"> <div class="prototype">y = <span class="fun">mmclose</span>( <span class="par">f</span>, <span class="par">b</span> = None ) </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">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> </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></td> </tr> </tbody> </table> </div> </div> </div> </div> <div class="descr"> <H2>Description</H2> <div class="H2"> <p> <span class="fun">mmclose</span> creates the image <code>y</code> by the morphological closing of the image <code>f</code> by the structuring element <code>b</code>. In the binary case, the closing by a structuring element <code>B</code> may be interpreted as the intersection of all the binary images that contain the image <code>f</code> and have a hole equal to a translation of <code>B</code>. In the gray-scale case, there is a similar interpretation taking the functions umbra. </p> </div> </div> <div class="examples"> <H2>Examples</H2> <div class="H2"> <p> <div class="example"> <div class="listing"> <pre class="user">>>> f=mmreadgray('blob.tif')</pre> <pre class="computer"></pre> <pre class="user">>>> bimg=mmreadgray('blob1.tif')</pre> <pre class="computer"></pre> <pre class="user">>>> b=mmimg2se(bimg)</pre> <pre class="computer"></pre> <pre class="user">>>> mmshow(f)</pre> <pre class="computer"></pre> <pre class="user">>>> mmshow(mmclose(f,b))</pre> <pre class="computer"></pre> <pre class="user">>>> mmshow(mmclose(f,b),mmgradm(f))</pre> <pre class="computer"></pre> </div> <table class="images"> <tbody align="center"> <tr class="image" valign="bottom"> <td><img width="239" src="../images/img_mmclose_001.jpg"></td> <td><img width="239" src="../images/img_mmclose_002.jpg"></td> <td class="spare"></td> </tr> <tr class="title" valign="baseline"> <td><a href="../images/img_mmclose_001.jpg">f</a></td> <td><a href="../images/img_mmclose_002.jpg">mmclose(f,b)</a></td> <td class="spare"></td> </tr> </tbody> </table> <table class="images"> <tbody align="center"> <tr class="image" valign="bottom"> <td><img width="239" src="../images/img_mmclose_003.jpg"></td> <td class="spare"></td> </tr> <tr class="title" valign="baseline"> <td><a href="../images/img_mmclose_003.jpg">mmclose(f,b),mmgradm(f)</a></td> <td class="spare"></td> </tr> </tbody> </table> </div> <div class="example"> <div class="listing"> <pre class="user">>>> f = mmreadgray('form-1.tif')</pre> <pre class="computer"></pre> <pre class="user">>>> mmshow(f)</pre> <pre class="computer"></pre> <pre class="user">>>> y = mmclose(f,mmsedisk(4))</pre> <pre class="computer"></pre> <pre class="user">>>> mmshow(y)</pre> <pre class="computer"></pre> </div> <table class="images"> <tbody align="center"> <tr class="image" valign="bottom"> <td><img width="320" src="../images/img_mmclose_004.jpg"></td> <td><img width="320" src="../images/img_mmclose_005.jpg"></td> <td class="spare"></td> </tr> <tr class="title" valign="baseline"> <td><a href="../images/img_mmclose_004.jpg">f</a></td> <td><a href="../images/img_mmclose_005.jpg">y</a></td> <td class="spare"></td> </tr> </tbody> </table> </div> <div class="example"> <div class="listing"> <pre class="user">>>> f = mmreadgray('n2538.tif')</pre> <pre class="computer"></pre> <pre class="user">>>> mmshow(f)</pre> <pre class="computer"></pre> <pre class="user">>>> y = mmclose(f,mmsedisk(3))</pre> <pre class="computer"></pre> <pre class="user">>>> mmshow(y)</pre> <pre class="computer"></pre> </div> <table class="images"> <tbody align="center"> <tr class="image" valign="bottom"> <td><img width="128" src="../images/img_mmclose_006.jpg"></td> <td><img width="128" src="../images/img_mmclose_007.jpg"></td> <td class="spare"></td> </tr> <tr class="title" valign="baseline"> <td><a href="../images/img_mmclose_006.jpg">f</a></td> <td><a href="../images/img_mmclose_007.jpg">y</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="eqfig"> <img src="../images/eq_mmclose001.png"> </div> </p> </div> </div> <div class="sourcecode"> <H2>Source Code</H2> <div class="H2"> <pre class="listing"> def mmclose(f, b=None): if b is None: b = mmsecross() y = mmero(mmdil(f,b),b) 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/mmopen.html">mmopen</a></td> <td class="def">Morphological opening.</td> </tr> <tr> <td class="term"><a href="../morph/mmfreedom.html">mmfreedom</a></td> <td class="def">Control automatic data type conversion.</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/mmimg2se.html">mmimg2se</a></td> <td class="def">Create a structuring element from a pair of images.</td> </tr> <tr> <td class="term"><a href="../morph/mmsesum.html">mmsesum</a></td> <td class="def">N-1 iterative Minkowski additions</td> </tr> </tbody> </table> </div> </div> <center> <table class="botNav"> <tr> <td class="index"> [<a href="../morph/mmasf.html"><tt>mmasf</tt></a>] [<a href="index.html">Up</a>] [<a href="../morph/mmopen.html"><tt>mmopen</tt></a>] </td> <td rowspan="2" class="xhtml"><a href="http://www.python.org"><img width="55" alt="Python" height="22" src="../PythonPoweredSmall.gif"></a></td> </tr> <tr> <td class="copyright">Copyright (c) 2003, Roberto A. Lotufo, UNICAMP-University of Campinas; Rubens C. Machado, CenPRA-Renato Archer Research Center.</td> </tr> </table> </center> </body> </html>