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» Medial Spheres for Shape Approximation
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COMPGEOM
2006
ACM
13 years 10 months ago
Medial axis approximation and unstable flow complex
The medial axis of a shape is known to carry a lot of information about it. In particular a recent result of Lieutier establishes that every bounded open subset of Rn has the same...
Joachim Giesen, Edgar A. Ramos, Bardia Sadri
CVPR
2000
IEEE
14 years 6 months ago
A Formal Classification of 3D Medial Axis Points and Their Local Geometry
This paper proposes a novel hypergraph skeletal representation for 3D shape based on a formal derivation of the generic structure of its medial axis. By classifying each skeletal ...
Peter J. Giblin, Benjamin B. Kimia
CGF
2007
153views more  CGF 2007»
13 years 4 months ago
Skeleton-based Variational Mesh Deformations
In this paper, a new free-form shape deformation approach is proposed. We combine a skeleton-based mesh deformation technique with discrete differential coordinates in order to cr...
Shin Yoshizawa, Alexander G. Belyaev, Hans-Peter S...
CVPR
2006
IEEE
13 years 8 months ago
An Efficiency Criterion for 2D Shape Model Selection.
We propose efficiency of representation as a criterion for evaluating shape models, then apply this criterion to compare the boundary curve representation with the medial axis. We...
Kathryn Leonard
CCCG
2007
13 years 6 months ago
Medial Axis Approximation of Planar Shapes from Union of Balls: A Simpler and more Robust Algorithm
Given a dense sampling S of the smooth boundary of a planar shape O. We show that the medial axis of the union of Voronoi balls centered at Voronoi vertices inside O has a particu...
Joachim Giesen, Balint Miklos, Mark Pauly