2011 Winter Project Week:MeshCurvolver
Surface Mean Curvature
Converged Contour Surrounding Region
Initial Points From User
Segmenting Tibia Fracture via Surface Geometry
Surface curvature display for segmented colon MRI in Slicer
Femur Surface Segmentation
User-Constraint Input Points in a Slice
Key Investigators
- Georgia Tech: Peter Karasev, Ivan Kolesov, Karol Chudy, Allen Tannenbaum
- BWH: Ron Kikinis
Objective
We are developing methods for segmentation of surfaces defined by polygonal meshes. In image or volume-slice segmentation, 'information' comes from image intensity, while in mesh surface segmentation the information is purely geometric. The goal of this project is to develop algorithms allowing a user to quickly and robustly segment one or several regions on a surface.
Ill-posed mesh data can be avoided by keeping access to the volumetric data to resolve complex regions. "User-Input-Constraints" can be incrementally updated to improve the surface model when needed.
Approach, Plan
Surface Geometry Computation
Closest Path Between Initial Points
Fast Level Set Implementation for Unstructured Mesh
Support 'global geometry' estimation for statistical analysis versus local-only for fast segmentation
Extend Functionality in VTK and ITK to perform needed operations
- vtkInitClosedPath : take in poly data and set of fiducial points, create a closed path including the closest points on the mesh to the given fiducials. Searches for pre-existence of geometry information, pass-through if it already exists.
- vtkComputeLocalGeometry : take in poly data, compute curvature, its derivatives, and related differential geometric quantities. Uses its own version of curvature computation- vtk versions are not useable because they only consider 1-neighborhood. Searches for pre-existence of geometry information, pass-through if it already exists.
- vtkLevelSetMeshEvolver : take in poly data with a scalar array defining the current region boundaries. Update the boundaries with curve evolution and return poly data with updated scalar array.
- added standalone executable to append surface curvature as a scalar map in vtk poly data
- added GUI program for algorithm development; maintains the volume data, label maps, constraint inputs, and output surface to avoid excess re-computation.
- need to port the mixed matlab/mex/C "SPGL1" package to pure C to solve for sparse solutions to underdetermined systems (generating the surface models)
References
P.A. Karasev, J.G. Malcolm, M. Niethammer, R. Kikinis, A. Tannenbaum. User-Driven 3D Mesh Region Targeting. SPIE Medical Imaging 2010.
