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» Medial Spheres for Shape Approximation
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COMPGEOM
2006
ACM
15 years 3 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
15 years 11 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
99
Voted
CGF
2007
153views more  CGF 2007»
14 years 9 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
15 years 1 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
14 years 11 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