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3D Topology Preserving Flows for Viewpoint-Based Cortical Unfolding.
- Source :
- International Journal of Computer Vision; Dec2009, Vol. 85 Issue 3, p223-236, 14p, 3 Black and White Photographs, 7 Diagrams
- Publication Year :
- 2009
-
Abstract
- We present a variational method for unfolding of the cortex based on a user-chosen point of view as an alternative to more traditional global flattening methods, which incur more distortion around the region of interest. Our approach involves three novel contributions. The first is an energy function and its corresponding gradient flow to measure the average visibility of a region of interest of a surface with respect to a given viewpoint. The second is an additional energy function and flow designed to preserve the 3D topology of the evolving surface. The third is a method that dramatically improves the computational speed of the 3D topology preservation approach by creating a tree structure of the 3D surface and using a recursion technique. Experiments results show that the proposed approach can successfully unfold highly convoluted surfaces such as the cortex while preserving their topology during the evolution. [ABSTRACT FROM AUTHOR]
- Subjects :
- THREE-manifolds (Topology)
CEREBRAL cortex
POLYHEDRA
VARIATIONAL principles
TOPOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 09205691
- Volume :
- 85
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- International Journal of Computer Vision
- Publication Type :
- Academic Journal
- Accession number :
- 44412031
- Full Text :
- https://doi.org/10.1007/s11263-009-0214-4