International Journal of Computer Vision
The fast construction of extension velocities in level set methods
Journal of Computational Physics
Stochastic Jump-Diffusion Process for Computing Medial Axes in Markov Random Fields
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shock Graphs and Shape Matching
International Journal of Computer Vision
Proceedings of the sixth ACM symposium on Solid modeling and applications
Divergence-Based Medial Surfaces
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Using the Vector Distance Functions to Evolve Manifolds of Arbitrary Codimension
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Marching Cores: A Method for Extracting Cores from 3D Medical Images
MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
Representation and Self-Similarity of Shapes
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Local Symmetries of Shapes in Arbitrary Dimension
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
A Formal Classification of 3D Medial Axis Points and Their Local Geometry
IEEE Transactions on Pattern Analysis and Machine Intelligence
Gray skeletons and segmentation of shapes
Computer Vision and Image Understanding
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Journal of Computational Physics
Flexible shape-based query rewriting
FQAS'06 Proceedings of the 7th international conference on Flexible Query Answering Systems
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A new method for determining skeletons of 3D shapes is described. It is a combination of the approach based on the “grass-fire” technique and Zhu's approach based on first finding portions of the shape where its width is approximately constant. The method specifically does not require presmoothing of the shape and is robust in the presence of noise. In an appendix, a method based on variational calculus is formulated for determining pruned, smoothed shape skeletons by minimizing a functional.