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		<title>Andy: Update from Wiki</title>
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		<updated>2006-12-18T13:24:07Z</updated>

		<summary type="html">&lt;p&gt;Update from Wiki&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== ITK Affine Invariant Anisotropic Smoothing Image Filter ==&lt;br /&gt;
&lt;br /&gt;
[[Media:2006_AHM_Programming_Half_Week_Affine_Invariant_Smoothing.ppt|Link to Project 4-Block Summary]]&lt;br /&gt;
&lt;br /&gt;
==== Introduction ====&lt;br /&gt;
&lt;br /&gt;
This ITK filter is an affine-invarient anisotropic smoothing filter.&lt;br /&gt;
&lt;br /&gt;
==== Background Reading ====&lt;br /&gt;
&lt;br /&gt;
PJ Olver, G Sapiro, A Tannenbaum. &amp;quot;Invariant geometric evolutions of surfaces and volumetric smoothing.&amp;quot; 1994.&lt;br /&gt;
&lt;br /&gt;
==== Use Case ====&lt;br /&gt;
&lt;br /&gt;
I'd like to remove noise from an image while preserving edges and I would like the result to be invariant to an affine transformation. This means that if I take an image and its sheared version, and I apply the filter to both images, I should get the same result when I compare the original smoothed image and the smooth sheared image after it is unsheared.&lt;br /&gt;
&lt;br /&gt;
==== Initial Status before Programming Week (jan 2006) ====&lt;br /&gt;
&lt;br /&gt;
* implemented in Matlab&lt;br /&gt;
&lt;br /&gt;
==== Current Status after Programming Week (jan 2006) ====&lt;br /&gt;
&lt;br /&gt;
* Implemented itkAffineInvariantCurvatureFlowImageFilter.h/.txx (in Code/Algorithms) as well as AffineInvariantCurvatureFlowImageFilter.cxx example (in Examples/Filtering)&lt;br /&gt;
* checked in to the sandbox under AffineInvariantCurvatureFlow&lt;br /&gt;
&lt;br /&gt;
==== Remaining Work ====&lt;br /&gt;
&lt;br /&gt;
* Restrict the filter to 2D&lt;br /&gt;
* Write and submit Insight journal&lt;br /&gt;
* Test the code on a sheared image to demonstrate the effect of affine invariance&lt;br /&gt;
&lt;br /&gt;
==== People ====&lt;br /&gt;
&lt;br /&gt;
===== Core 1 Team =====&lt;br /&gt;
&lt;br /&gt;
[[User:Melonakos|John Melonakos]] - Georgia Tech &amp;lt;br /&amp;gt; Delphine Nain - Georgia Tech &amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===== Core 2 Team =====&lt;br /&gt;
&lt;br /&gt;
Jim Miller (GE)&lt;/div&gt;</summary>
		<author><name>Andy</name></author>
		
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