Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Global Minimum for Active Contour Models: A Minimal Path Approach
International Journal of Computer Vision
Interactive modeling of topologically complex geometric detail
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2005 Papers
Modeling with multiresolution subdivision surfaces
ACM SIGGRAPH 2006 Courses
A hybrid eulerian-lagrangian approach for thickness, correspondence, and gridding of annular tissues
CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications
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A novel approach for computing point correspondences and grids within annular tissues is presented based on a recently introduced technique for computing thickness in such regions. The solution of Laplace's equation provides implicit correspondence trajectories between the bounding surfaces. Pairs of partial differential equations are then efficiently solved within an Eulerian framework for thickness, from which concentric surfaces can be constructed. Point correspondences are then computed between the outer surfaces and any surface within, providing a gridding of the annular tissue. Examples are shown for two-dimensional short-axis images of the left ventricle and three-dimensional images of the cortex.