Difference between revisions of "Mesh Discussion for Core 1"
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*The goal is to figure out what's there and what needs to be done to make meshes usable for algorithm development. | *The goal is to figure out what's there and what needs to be done to make meshes usable for algorithm development. | ||
| + | |||
| + | |||
| + | = Tools Needed = | ||
*Thomas: I am listing some tools that might be necessary for people working with meshes in ITK (the viewpoint is probably biased towards my needs). I might also be referring to meshes as representing surfaces depending on the contexts. | *Thomas: I am listing some tools that might be necessary for people working with meshes in ITK (the viewpoint is probably biased towards my needs). I might also be referring to meshes as representing surfaces depending on the contexts. | ||
| − | + | == Registration == | |
| − | + | # Need to interpolate values residing on the vertices of a mesh onto a set of points (which could belong to another mesh). I can give more specific examples in my problems if clarifications needed. | |
| − | + | # Given a point lying on a face (triangle/tetrahedron) of a mesh, compute the spatial gradient at that point, i.e., how will the interpolated value changes as the point position changes. | |
| − | + | # Does ParametricSpaceToImageSpaceMeshFilter already accomplished this? Found this on the documentation page, but it's unclear if it doing point (1) above. | |
| − | + | == Mesh Parameterization == | |
| − | + | # Given a mesh, impose a parametric (e.g., planar, spherical) coordinate system. This is necessary for registration. | |
| − | + | # Different possible metric for such a parametrization: metric distortion, conformal, etc. | |
| − | + | == Given a Mesh Representing a Surface == | |
| − | + | # Compute differential geometric properties, e.g., first and second fundamental forms (mean and gaussian curvature) | |
| − | + | # For mesh representing cortical surface, computing sulcal depth | |
| − | + | == Closed 2D Surface Analysis == | |
| − | + | # Spherical Harmonic Transform - Spherical Harmonics are the basis of spherical filtering. | |
| − | + | # Wavelets - I thought Delphine's work was to be imported into ITK. They must have needed to do perform interpolation and impose a spherical coordinate system... | |
| − | + | == Obtaining the Mesh in the First Place == | |
| − | + | # In the context of the brain: white matter segmentation, topology correction, mesh generation. | |
Revision as of 17:56, 17 June 2008
Home < Mesh Discussion for Core 1Topics for discussion regarding Meshes in ITK.
Thursday, June 19th, 3-3:30pm ET
Contents
Participants:
- Will Schroeder,
- Luis Ibanez,
- Andrey Fedorov,
- Polina Golland,
- Thomas Yeo
- Alex Gouillard
Goal
- The goal is to figure out what's there and what needs to be done to make meshes usable for algorithm development.
Tools Needed
- Thomas: I am listing some tools that might be necessary for people working with meshes in ITK (the viewpoint is probably biased towards my needs). I might also be referring to meshes as representing surfaces depending on the contexts.
Registration
- Need to interpolate values residing on the vertices of a mesh onto a set of points (which could belong to another mesh). I can give more specific examples in my problems if clarifications needed.
- Given a point lying on a face (triangle/tetrahedron) of a mesh, compute the spatial gradient at that point, i.e., how will the interpolated value changes as the point position changes.
- Does ParametricSpaceToImageSpaceMeshFilter already accomplished this? Found this on the documentation page, but it's unclear if it doing point (1) above.
Mesh Parameterization
- Given a mesh, impose a parametric (e.g., planar, spherical) coordinate system. This is necessary for registration.
- Different possible metric for such a parametrization: metric distortion, conformal, etc.
Given a Mesh Representing a Surface
- Compute differential geometric properties, e.g., first and second fundamental forms (mean and gaussian curvature)
- For mesh representing cortical surface, computing sulcal depth
Closed 2D Surface Analysis
- Spherical Harmonic Transform - Spherical Harmonics are the basis of spherical filtering.
- Wavelets - I thought Delphine's work was to be imported into ITK. They must have needed to do perform interpolation and impose a spherical coordinate system...
Obtaining the Mesh in the First Place
- In the context of the brain: white matter segmentation, topology correction, mesh generation.
