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<td class="title">Thinning And Thickening</td>
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<h1>mmcthick
<br>
<span class="subtitle">Image transformation by conditional thickening.
</span>
</h1>
<div class="synopsis">
<H2>Synopsis</H2>
<div class="H2">
<div class="prototype">y =
<span class="fun">mmcthick</span>(
<span class="par">f</span>,
<span class="par">g</span>,
<span class="par">Iab</span> = None,
<span class="par">n</span> = -1,
<span class="par">theta</span> = 45,
<span class="par">DIRECTION</span> = "CLOCKWISE"
)
</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">g</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">Iab</span></td>
<td class="def"><span class="type"><a href="../mmtypes/mmInterval.html">Interval</a></span><p>Default:
<code>None</code> (mmhomothick)
</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>
<tr>
<td class="term"><span class="par">theta</span></td>
<td class="def"><span class="type"><a href="../mmtypes/mmDouble.html">Double</a></span><p>Degrees of rotation: 45, 90, or 180.</p><p>Default:
<code>45</code>
</p></td>
</tr>
<tr>
<td class="term"><span class="par">DIRECTION</span></td>
<td class="def"><span class="type"><a href="../mmtypes/mmString.html">String</a></span><p>'CLOCKWISE' or 'ANTI-CLOCKWISE'.</p><p>Default:
<code>"CLOCKWISE"</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> Binary image.
</td>
</tr>
</tbody>
</table>
</div>
</div>
</div>
</div>
<div class="descr">
<H2>Description</H2>
<div class="H2">
<p>
<span class="fun">mmcthick</span> creates the binary image
<code>y</code> by performing a thickening of the binary image
<code>f</code> conditioned to the binary image
<code>g</code>. The number of iterations of the conditional thickening is
<code>n</code> and in each iteration the thickening is characterized by rotations of
<code>theta</code> of the interval
<code>Iab</code>.
</p>
</div>
</div>
<div class="examples">
<H2>Examples</H2>
<div class="H2">
<p>
<div class="bridge">Pseudo convex hull</div>
<div class="example">
<div class="listing">
<pre class="user">>>> f=mmreadgray('blob2.tif')</pre>
<pre class="computer"></pre>
<pre class="user">>>> mmshow(f)</pre>
<pre class="computer"></pre>
<pre class="user">>>> t=mmse2hmt(mmbinary([[0,0,0],[0,0,1],[1,1,1]]),
mmbinary([[0,0,0],[0,1,0],[0,0,0]]))</pre>
<pre class="computer"></pre>
<pre class="user">>>> print mmintershow(t)</pre>
<pre class="computer">. . .
. 0 1
1 1 1</pre>
<pre class="user">>>> f1=mmthick(f,t,40); # The thickening makes the image border grow</pre>
<pre class="computer"></pre>
<pre class="user">>>> mmshow(f1)</pre>
<pre class="computer"></pre>
</div>
<table class="images">
<tbody align="center">
<tr class="image" valign="bottom">
<td><img width="260" src="../images/img_mmcthick_001.jpg"></td>
<td><img width="260" src="../images/img_mmcthick_002.jpg"></td>
<td class="spare"></td>
</tr>
<tr class="title" valign="baseline">
<td><a href="../images/img_mmcthick_001.jpg">f</a></td>
<td><a href="../images/img_mmcthick_002.jpg">f1</a></td>
<td class="spare"></td>
</tr>
</tbody>
</table>
</div>
<div class="example">
<div class="listing">
<pre class="user">>>> f2=mmcthick(f,mmneg(mmframe(f)),t,40) # conditioning to inner pixels</pre>
<pre class="computer"></pre>
<pre class="user">>>> fn=mmcthick(f,mmneg(mmframe(f)),t) #pseudo convex hull</pre>
<pre class="computer"></pre>
<pre class="user">>>> mmshow(f2)</pre>
<pre class="computer"></pre>
<pre class="user">>>> mmshow(fn,f)</pre>
<pre class="computer"></pre>
</div>
<table class="images">
<tbody align="center">
<tr class="image" valign="bottom">
<td><img width="260" src="../images/img_mmcthick_003.jpg"></td>
<td><img width="260" src="../images/img_mmcthick_004.jpg"></td>
<td class="spare"></td>
</tr>
<tr class="title" valign="baseline">
<td><a href="../images/img_mmcthick_003.jpg">f2</a></td>
<td><a href="../images/img_mmcthick_004.jpg">fn,f</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_mmcthick001.png">
</div>
</p>
</div>
</div>
<div class="sourcecode">
<H2>Source Code</H2>
<div class="H2">
<pre class="listing">
def mmcthick(f, g, Iab=None, n=-1, theta=45, DIRECTION="CLOCKWISE"):
from Numeric import product
from string import upper
if Iab is None: Iab = mmhomothick()
DIRECTION = upper(DIRECTION)
assert mmisbinary(f),'f must be binary image'
if n == -1: n = product(f.shape)
y = f
old = y
for i in range(n):
for t in range(0,360,theta):
sup = mmsupgen( y, mminterot(Iab, t, DIRECTION))
y = mmintersec(mmunion( y, sup),g)
if mmisequal(old,y): break
old = y
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/mmfreedom.html">mmfreedom</a></td>
<td class="def">Control automatic data type conversion.</td>
</tr>
<tr>
<td class="term"><a href="../morph/mmthick.html">mmthick</a></td>
<td class="def">Image transformation by thickening.</td>
</tr>
<tr>
<td class="term"><a href="../morph/mmhomothick.html">mmhomothick</a></td>
<td class="def">Interval for homotopic thickening.</td>
</tr>
<tr>
<td class="term"><a href="../morph/mmse2hmt.html">mmse2hmt</a></td>
<td class="def">Create a Hit-or-Miss Template (or interval) from a pair of structuring elements.</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
>
Mandriva
>
2010.0
>
i586
>
media
>
contrib-release
>
by-pkgid
>
4a71d9984febeb5a206904a5a379841a
>
files
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674
