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» Shape Simplification Based on the Medial Axis Transform
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COMPGEOM
2006
ACM
13 years 11 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
SIGGRAPH
2010
ACM
13 years 10 months ago
Discrete scale axis representations for 3D geometry
This paper addresses the fundamental problem of computing stable medial representations of 3D shapes. We propose a spatially adaptive classification of geometric features that yi...
Balint Miklos, Joachim Giesen, Mark Pauly
PAMI
2010
147views more  PAMI 2010»
13 years 3 months ago
The Groupwise Medial Axis Transform for Fuzzy Skeletonization and Pruning
—Medial representations of shapes are useful due to their use of an object-centered coordinate system that directly captures intuitive notions of shape such as thickness, bending...
Aaron D. Ward, Ghassan Hamarneh
CGI
2000
IEEE
13 years 9 months ago
Local and Global Geometric Methods for Analysis Interrogation, Reconstruction, Modification and Design of Shape
This paper gives an overview of some recent methods useful for local and global shape analysis and for the design of solids. These methods include as new tools for global and loca...
Franz-Erich Wolter, K.-I. Friese
CVPR
2003
IEEE
14 years 7 months ago
Statistics of Shape via Principal Geodesic Analysis on Lie Groups
Principal component analysis has proven to be useful for understanding geometric variability in populations of parameterized objects. The statistical framework is well understood ...
P. Thomas Fletcher, Conglin Lu, Sarang C. Joshi