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<td class="title">Measurements</td>
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<h1>mmpatspec
<br>
<span class="subtitle">Pattern spectrum (also known as granulometric size density).
</span>
</h1>
<div class="synopsis">
<H2>Synopsis</H2>
<div class="H2">
<div class="prototype">h =
<span class="fun">mmpatspec</span>(
<span class="par">f</span>,
<span class="par">type</span> = 'OCTAGON',
<span class="par">n</span> = 65535,
<span class="par">Bc</span> = None,
<span class="par">Buser</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">
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<td class="term"><span class="par">f</span></td>
<td class="def"><span class="type"><a href="../mmtypes/mmImage.html">Image</a></span> Binary image.
</td>
</tr>
<tr>
<td class="term"><span class="par">type</span></td>
<td class="def"><span class="type"><a href="../mmtypes/mmString.html">String</a></span><p>Disk family: 'OCTAGON', 'CHESSBOARD', 'CITY-BLOCK', 'LINEAR-V', 'LINEAR-H', 'LINEAR-45R', 'LINEAR-45L', 'USER'.</p><p>Default:
<code>'OCTAGON'</code>
</p></td>
</tr>
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<td class="term"><span class="par">n</span></td>
<td class="def"><span class="type"><a href="../mmtypes/mmDouble.html">Double</a></span><p>Maximum disk radii.</p><p>Default:
<code>65535</code>
</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>Connectivity for the reconstructive granulometry. Used if '-REC' suffix is appended in the 'type' string.</p><p>Default:
<code>None</code> (3x3 elementary cross)
</p></td>
</tr>
<tr>
<td class="term"><span class="par">Buser</span></td>
<td class="def"><span class="type"><a href="../mmtypes/mmSe.html">Structuring Element</a></span><p>User disk, used if 'type' is 'USER'.</p><p>Default:
<code>None</code> (3x3 elementary cross)
</p></td>
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<H3>Output</H3>
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<td class="term"><span class="par">h</span></td>
<td class="def"><span class="type"><a href="../mmtypes/mmImage.html">Image</a></span> Gray-scale (uint8 or uint16) or binary image.
<p>a
<code>uint16</code> vector.
</p></td>
</tr>
</tbody>
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</div>
</div>
</div>
</div>
<div class="descr">
<H2>Description</H2>
<div class="H2">
<p>
Compute the Pattern Spectrum of a binary image. See Mara:89b. The pattern spectrum is the histogram of the open transform, not taking the zero values.
</p>
</div>
</div>
<div class="equation">
<H2>Equation</H2>
<div class="H2">
<p>
<div class="eqfig">
<img src="../images/eq_mmpatspec001.png">
</div>
</p>
</div>
</div>
<div class="sourcecode">
<H2>Source Code</H2>
<div class="H2">
<pre class="listing">
def mmpatspec(f, type='OCTAGON', n=65535, Bc=None, Buser=None):
if Bc is None: Bc = mmsecross()
if Buser is None: Buser = mmsecross()
assert mmisbinary(f),'Error: input image is not binary'
g=mmopentransf(f,type,n,Bc,Buser)
h=mmhistogram(g)
h=h[1:]
return h
</pre>
</div>
</div>
<div class="seealso">
<H2>See also</H2>
<div class="H2">
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<td class="term"><a href="../morph/mmopen.html">mmopen</a></td>
<td class="def">Morphological opening.</td>
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<tr>
<td class="term"><a href="../morph/mmopentransf.html">mmopentransf</a></td>
<td class="def">Open transform.</td>
</tr>
<tr>
<td class="term"><a href="../morph/mmsedisk.html">mmsedisk</a></td>
<td class="def">Create a disk or a semi-sphere structuring element.</td>
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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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