Computer Aided Geometric Design - Special issue: Applications of geometric modeling in the life sciences
Dual Marching Tetrahedra: Contouring in the Tetrahedronal Environment
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Computer Aided Geometric Design - Special issue: Applications of geometric modeling in the life sciences
Feature detection using curvature maps and the min-cut/max-flow algorithm
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Segmentation of DT-MRI anisotropy isosurfaces
EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization
Massive data pre-processing with a cluster based approach
EG PGV'04 Proceedings of the 5th Eurographics conference on Parallel Graphics and Visualization
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A high-level approach to describe the characteristics of a surface is to segment it into regions of uniform curvature behavior and construct an abstract representation given by a (topology) graph. We propose a surface segmentation method based on discrete mean and Gaussian curvature estimates. The surfaces are obtained from three-dimensional imaging data sets by isosurface extraction after data presmoothing and postprocessing the isosurfaces by a surface-growing algorithm. We generate a hierarchical multiresolution representation of the isosurface. Segmentation and graph generation algorithms can be performed at various levels of detail. At a coarse level of detail, the algorithm detects the main features of the surface. This low-resolution description is used to determine constraints for the segmentation and graph generation at the higher resolutions. We have applied our methods to MRI data sets of human brains. The hierarchical segmentation framework can be used for brain-mapping purposes.