Projects:ConformalFlatteningRegistration - Revision history

Ygao at 00:57, 16 November 2013

2013-11-16T00:57:06Z

Ygao at 16:15, 12 January 2012

2012-01-12T16:15:42Z

Melonakos: /* Publications */

2010-05-11T19:50:21Z

Publications

Melonakos at 19:05, 20 October 2009

2009-10-20T19:05:56Z

Ygao at 03:41, 16 September 2009

2009-09-16T03:41:36Z

Ygao: /* Description */

2009-09-16T03:36:57Z

Description

Ygao: /* Conformal Flattening Slicer3 module */

2009-09-16T03:32:26Z

Conformal Flattening Slicer3 module

Ygao: /* Publications */

2009-09-16T03:29:22Z

Publications

Ygao: /* Publications */

2009-09-16T03:28:12Z

Publications

Ygao at 03:27, 16 September 2009

2009-09-16T03:27:28Z

@@ Line 1: / Line 1: @@
-  Back to [[NA-MIC_Internal_Collaborations:fMRIAnalysis|NA-MIC_Collaborations]], [[Algorithm:BU|Boston University Algorithms]]
+  Back to [[NA-MIC_Internal_Collaborations:fMRIAnalysis|NA-MIC_Collaborations]], [[Algorithm:Stony Brook|Stony Brook University Algorithms]]
 __NOTOC__
 = Conformal Flattening Registration =

@@ Line 1: / Line 1: @@
-  Back to [[NA-MIC_Internal_Collaborations:fMRIAnalysis|NA-MIC_Collaborations]], [[Algorithm:GATech|Georgia Tech Algorithms]]
+  Back to [[NA-MIC_Internal_Collaborations:fMRIAnalysis|NA-MIC_Collaborations]], [[Algorithm:BU|Boston University Algorithms]]
 __NOTOC__
 = Conformal Flattening Registration =

@@ Line 45: / Line 45: @@
 = Publications =
-* [http://www.na-mic.org/publications/pages/display?search=ConformalFlatteningRegistration&submit=Search&words=all&title=checked&keywords=checked&authors=checked&abstract=checked&searchbytag=checked&sponsors=checked| NA-MIC Publications Database]
+* [http://www.na-mic.org/publications/pages/display?search=ConformalFlatteningRegistration&submit=Search&words=all&title=checked&keywords=checked&authors=checked&abstract=checked&searchbytag=checked&sponsors=checked| NA-MIC Publications Database on Conformal Flattening (inactive)]
 [[Category:fMRI]] [[Category:Registration]]

@@ Line 45: / Line 45: @@
 = Publications =
-* Y. Gao, J. Melonakos, and A. Tannenbaum. Conformal Flattening ITK Filter. MICCAI 2006 Open Source Workshop / Insight Journal, 2006 [http://www.na-mic.org/publications/pages/display?search=ConformalFlatteningRegistration&submit=Search&words=all&title=checked&keywords=checked&authors=checked&abstract=checked&searchbytag=checked&sponsors=checked| NA-MIC Publications Database]
+* [http://www.na-mic.org/publications/pages/display?search=ConformalFlatteningRegistration&submit=Search&words=all&title=checked&keywords=checked&authors=checked&abstract=checked&searchbytag=checked&sponsors=checked| NA-MIC Publications Database]
 [[Category:fMRI]] [[Category:Registration]]

@@ Line 18: / Line 18: @@
 Also, in the work of [[Algorithm:GATech:Multiscale_Shape_Segmentation|Multiscale Shape Segmentation]], conformal flattening is used as the first step for remeshing the surface.
-== Progress ==
+= Progress =
-This algorithm is now written into SandBox as itkConformalFlatteningFilter. More test is being made and then hopefully can be integrated into the ITK CVS repository.
+== ITK ==
-[[Image:Nice.PNG|[[Image:Nice.PNG|Image:Nice.PNG]]]] ===> [[Image:Nice-flat.PNG|[[Image:Nice-flat.PNG|Image:nice-flat.PNG]]]]
+[[Image:Nice.PNG| | 300px ]] ===> [[Image:Nice-flat.PNG| 300px ]]
-[[Image:Brain.PNG|[[Image:Brain.PNG|Image:Brain.PNG]]]] ===> [[Image:Brain-flat.PNG|[[Image:Brain-flat.PNG|Image:Brain-flat.PNG]]]]
+[[Image:Brain.PNG | 300px ]] ===> [[Image:Brain-flat.PNG | 300px ]]
-= Conformal Flattening Slicer3 module =
+== Slicer3 module ==
-The conformal flattening algorithm is now in ITK/Code/Review/itkConformalFlatteningMeshFilter.h/txx. During the project week 2008, it is further put into Slicer3 as a command line module. Below we show two screen shots of using it.
+During the project week 2008, it is further put into Slicer3 as a command line module. Below we show two screen shots of using it.
 [[Image:SlicerConformalFlatten.png| The mesh to be mapped to sphere. | 500px]]

@@ Line 12: / Line 12: @@
 # The conformal mapping <span class="texhtml">''f''</span> is defined on the originla surface <span class="texhtml">Σ</span> as <math>\triangle f = (\frac{\partial}{\partial u} - i\frac{\partial}{\partial v})\delta_p</math>. In that <span class="texhtml">''u''</span> and <span class="texhtml">''v''</span> are the conformal coordinates defined on the surface and the <span class="texhtml">δ<sub>''p''</sub></span> is a Dirac function whose value is non-zero only at point <span class="texhtml">''p''</span>. By solving this partial differential equation the mapping <span class="texhtml">''f''</span> can be obtained.
-# To solve that equation on the discrete mesh representation of the surface, finite element method(FEM) is used. The problem is turned to solving a linear system <span class="texhtml">''D''''x'' = ''b''</span>. Since b is complex vector, the real and imaginary parts of the mapping <span class="texhtml">''f''</span> can be calculated separately by two linear system.
+# To solve that equation on the discrete mesh representation of the surface, finite element method(FEM) is used. The problem is turned to solving a linear system <span class="texhtml">''D''.''x'' = ''b''</span>. Since b is complex vector, the real and imaginary parts of the mapping <span class="texhtml">''f''</span> can be calculated separately by two linear system.
 # Having the mapping <span class="texhtml">''f''</span>, the original surface can be mapped to a plane.
 # Further, the plane can be mapped to a sphere by the stereographic projection.
@@ Line 18: / Line 18: @@
 Also, in the work of [[Algorithm:GATech:Multiscale_Shape_Segmentation|Multiscale Shape Segmentation]], conformal flattening is used as the first step for remeshing the surface.
-''Progress''
+== Progress ==
 This algorithm is now written into SandBox as itkConformalFlatteningFilter. More test is being made and then hopefully can be integrated into the ITK CVS repository.

@@ Line 28: / Line 28: @@
 = Conformal Flattening Slicer3 module =
-The conformal flattening algorithm has been put into ITK in the Insight Journal 2006. During the project week 2008, it is further put into Slicer3 as a command line module. Below we show two screen shots of using it.
+The conformal flattening algorithm is now in ITK/Code/Review/itkConformalFlatteningMeshFilter.h/txx. During the project week 2008, it is further put into Slicer3 as a command line module. Below we show two screen shots of using it.
-[[Image:SlicerConformalFlatten.png| The mesh to be mapped to sphere. | 800px]]
+[[Image:SlicerConformalFlatten.png| The mesh to be mapped to sphere. | 500px]]
+[[Image:SlicerConformalFlattenResult.png| The spherical image of the mesh. | 500px]]
 = Acceleration =

@@ Line 44: / Line 44: @@
 = Publications =
-Y. Gao, J. Melonakos, and A. Tannenbaum. Conformal Flattening ITK Filter. Insight Journal, 2006
+* Y. Gao, J. Melonakos, and A. Tannenbaum. Conformal Flattening ITK Filter. Insight Journal, 2006 [http://www.na-mic.org/publications/pages/display?search=ConformalFlatteningRegistration&submit=Search&words=all&title=checked&keywords=checked&authors=checked&abstract=checked&searchbytag=checked&sponsors=checked| NA-MIC Publications Database]
 [[Category:fMRI]] [[Category:Registration]]

@@ Line 33: / Line 33: @@
 [[Image:SlicerConformalFlattenResult.png| The spherical image of the mesh. | 800px]]
 = Key Investigators =
-*Georgia Tech Algorithms: John Melonakos, Yi Gao
+*Georgia Tech Algorithms: Yi Gao, John Melonakos, Allen Tannenbaum
 = Publications =
-''In Print''
+Y. Gao, J. Melonakos, and A. Tannenbaum. Conformal Flattening ITK Filter. Insight Journal, 2006
 *[http://www.na-mic.org/publications/pages/display?search=ConformalFlatteningRegistration&submit=Search&words=all&title=checked&keywords=checked&authors=checked&abstract=checked&searchbytag=checked&sponsors=checked| NA-MIC Publications Database]
 [[Category:fMRI]] [[Category:Registration]]