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<td class="title">Thinning And Thickening</td>
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<h1>mmskiz
<br>
<span class="subtitle">Skeleton of Influence Zone - also know as Generalized Voronoi Diagram
</span>
</h1>
<div class="synopsis">
<H2>Synopsis</H2>
<div class="H2">
<div class="prototype">y =
<span class="fun">mmskiz</span>(
<span class="par">f</span>,
<span class="par">Bc</span> = None,
<span class="par">LINEREG</span> = "LINES",
<span class="par">METRIC</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> Binary image.
</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 distance measurement.</p><p>Default:
<code>None</code> (3x3 elementary cross)
</p></td>
</tr>
<tr>
<td class="term"><span class="par">LINEREG</span></td>
<td class="def"><span class="type"><a href="../mmtypes/mmString.html">String</a></span><p>'LINES' or 'REGIONS'.</p><p>Default:
<code>"LINES"</code>
</p></td>
</tr>
<tr>
<td class="term"><span class="par">METRIC</span></td>
<td class="def"><span class="type"><a href="../mmtypes/mmString.html">String</a></span><p>'EUCLIDEAN' if specified.</p><p>Default:
<code>None</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> Gray-scale (uint8 or uint16) or binary image.
</td>
</tr>
</tbody>
</table>
</div>
</div>
</div>
</div>
<div class="descr">
<H2>Description</H2>
<div class="H2">
<p>
<span class="fun">mmskiz</span> creates the image
<code>y</code> by detecting the lines which are equidistant to two or more connected components of
<code>f</code>, according to the connectivity defined by
<code>Bc</code>. Depending on with the flag LINEREG,
<code>y</code> will be a binary image with the skiz lines or a labeled image representing the zone of influence regions. When the connected objects of
<code>f</code> are single points, the skiz is the Voronoi diagram.
</p>
</div>
</div>
<div class="examples">
<H2>Examples</H2>
<div class="H2">
<p>
<div class="bridge">Skiz:</div>
<div class="example">
<div class="listing">
<pre class="user">>>> f=mmreadgray('blob2.tif')</pre>
<pre class="computer"></pre>
<pre class="user">>>> y=mmskiz(f,mmsebox(),'LINES','EUCLIDEAN')</pre>
<pre class="computer"></pre>
<pre class="user">>>> mmshow(f,y)</pre>
<pre class="computer"></pre>
</div>
<table class="images">
<tbody align="center">
<tr class="image" valign="bottom">
<td><img width="260" src="../images/img_mmskiz_001.jpg"></td>
<td class="spare"></td>
</tr>
<tr class="title" valign="baseline">
<td><a href="../images/img_mmskiz_001.jpg">f,y</a></td>
<td class="spare"></td>
</tr>
</tbody>
</table>
</div>
<div class="bridge">Voronoi diagram:</div>
<div class="example">
<div class="listing">
<pre class="user">>>> from Numeric import zeros</pre>
<pre class="computer"></pre>
<pre class="user">>>> f=mmbinary(zeros((100,100)))</pre>
<pre class="computer"></pre>
<pre class="user">>>> f[30,25],f[20,75],f[50,50],f[70,30],f[80,70] = 1,1,1,1,1</pre>
<pre class="computer"></pre>
<pre class="user">>>> y = mmskiz(f,mmsebox(),'LINES','EUCLIDEAN')</pre>
<pre class="computer"></pre>
<pre class="user">>>> mmshow(f,y)</pre>
<pre class="computer"></pre>
</div>
<table class="images">
<tbody align="center">
<tr class="image" valign="bottom">
<td><img width="100" src="../images/img_mmskiz_002.jpg"></td>
<td class="spare"></td>
</tr>
<tr class="title" valign="baseline">
<td><a href="../images/img_mmskiz_002.jpg">f,y</a></td>
<td class="spare"></td>
</tr>
</tbody>
</table>
</div>
</p>
</div>
</div>
<div class="descr">
<H2>Limitations</H2>
<div class="H2">
<p>
For Euclidean metric, please see
<code><span class="fun">mmdist</span></code>.
</p>
</div>
</div>
<div class="sourcecode">
<H2>Source Code</H2>
<div class="H2">
<pre class="listing">
def mmskiz(f, Bc=None, LINEREG="LINES", METRIC=None):
from string import upper
if Bc is None: Bc = mmsecross()
LINEREG = upper(LINEREG)
if METRIC is not None: METRIC = upper(METRIC)
d = mmdist( mmneg(f), Bc, METRIC)
return mmcwatershed(d,f,Bc,LINEREG)
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/mmdist.html">mmdist</a></td>
<td class="def">Distance transform.</td>
</tr>
<tr>
<td class="term"><a href="../morph/mmcwatershed.html">mmcwatershed</a></td>
<td class="def">Detection of watershed from markers.</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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distrib
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Mandriva
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2010.0
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