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	<id>https://www.na-mic.org/w/index.php?action=history&amp;feed=atom&amp;title=Algorithm%3AGATech%3ACenterline_Generation_for_Vessels</id>
	<title>Algorithm:GATech:Centerline Generation for Vessels - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://www.na-mic.org/w/index.php?action=history&amp;feed=atom&amp;title=Algorithm%3AGATech%3ACenterline_Generation_for_Vessels"/>
	<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Algorithm:GATech:Centerline_Generation_for_Vessels&amp;action=history"/>
	<updated>2026-04-05T19:08:03Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Algorithm:GATech:Centerline_Generation_for_Vessels&amp;diff=83768&amp;oldid=prev</id>
		<title>Ygao at 01:14, 16 November 2013</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Algorithm:GATech:Centerline_Generation_for_Vessels&amp;diff=83768&amp;oldid=prev"/>
		<updated>2013-11-16T01:14:35Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 01:14, 16 November 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l30&quot; &gt;Line 30:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 30:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''Links:'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''Links:'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Algorithm:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;GATech&lt;/del&gt;|&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Georgia Tech &lt;/del&gt;Algorithms]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Algorithm:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Stony Brook&lt;/ins&gt;|&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Stony Brook &lt;/ins&gt;Algorithms]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[NA-MIC_Collaborations|NA-MIC Collaborations]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[NA-MIC_Collaborations|NA-MIC Collaborations]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Ygao</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Algorithm:GATech:Centerline_Generation_for_Vessels&amp;diff=5638&amp;oldid=prev</id>
		<title>Zack: Update from Wiki</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Algorithm:GATech:Centerline_Generation_for_Vessels&amp;diff=5638&amp;oldid=prev"/>
		<updated>2007-01-05T18:34:43Z</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; Back to [[NA-MIC_Collaborations|NA-MIC_Collaborations]]&lt;br /&gt;
&lt;br /&gt;
'''Objective:'''&lt;br /&gt;
&lt;br /&gt;
The goal of this work is to generate centerlines from segmented 3D surfaces of blood '''vessels''' using a harmonic skeletonization technique. The generated centerlines are used as a guide to visualize and evaluate stenoses in human coronary arteries. A harmonic skeleton is the center line of a multi-branched tubular surface extracted based on a harmonic function, which is the solution of the Laplace equation. This skeletonization method guarantees smoothness and connectivity and provides a fast and straightforward way to calculate local cross-sectional areas of the arteries, and thus provides the possibility to localize and evaluate coronary artery stenosis, which is a commonly seen pathology in coronary artery disease.&lt;br /&gt;
&lt;br /&gt;
'''Progress:'''&lt;br /&gt;
&lt;br /&gt;
[[Image:Skeletons.TIF|[[Image:874px-Skeletons.TIF.png]]]]&lt;br /&gt;
&lt;br /&gt;
Figure 1 shows the '''centerline''' extraction results on two coronary artery tress. Left: Coronaries and the skeleton of a healthy volunteer. Middle: Coronaries and the skeleton of a patient with plaques in LAD. Right: The skeleton of the middle coronaries.&lt;br /&gt;
&lt;br /&gt;
[[Image:Areas.TIF|[[Image:397px-Areas.TIF.png]]]]&lt;br /&gt;
&lt;br /&gt;
[[Image:Stenosis_quan.TIF|[[Image:579px-Stenosis_quan.TIF.png]]]]&lt;br /&gt;
&lt;br /&gt;
[[Image:LAD_stenosis.JPG|[[Image:LAD_stenosis.JPG]]]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br /&amp;gt; Cross-sectional areas of '''vessels''' can be calculated using the centerlines as a guide. Figure 3 shows the areas at different locations along the '''vessels''' by specifying a ''u'' value of the harmonic function (solution to the Laplace equation). We can also show a continuous variation of the cross-sectional area along a certain vessel, as shown in Figure 4, where the areas along the left anterior descending (LAD) coronary artery of the second case in Figure 1 are measured. Figure 5 shows a stenosis detected in this vessel.&lt;br /&gt;
&lt;br /&gt;
''Ongoing Work''&lt;br /&gt;
&lt;br /&gt;
* This method is being tested and evaluated for its accuracy based on more clinical data sets.&lt;br /&gt;
* The algorithms used in this work are currently implemented in MATLAB and C.&lt;br /&gt;
&lt;br /&gt;
''References:''&lt;br /&gt;
&lt;br /&gt;
[1] Y. Yang, L. Zhu, S. Haker, A. Tannenbaum, and D. Giddens. [/Wiki/images/8/83/YangMICCAI2005.pdf  Harmonic Skeleton Guided Evaluation of Stenoses in Human Coronary Arteries]. In Proc. MICCAI 2005: International Conference Medical Image Computing and Computer-Assisted Intervention, Lecture Notes in Computer Science (3749). Springer-Verlag, pp.490-497, 2005&lt;br /&gt;
&lt;br /&gt;
'''Links:'''&lt;br /&gt;
&lt;br /&gt;
* [[Algorithm:GATech|Georgia Tech Algorithms]]&lt;br /&gt;
* [[NA-MIC_Collaborations|NA-MIC Collaborations]]&lt;/div&gt;</summary>
		<author><name>Zack</name></author>
		
	</entry>
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