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» Hyperbolic "Smoothing" of Shapes
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ICCV
1998
IEEE
13 years 9 months ago
Hyperbolic "Smoothing" of Shapes
We have been developing a theory of generic 2-D shape based on a reaction-diffusion model from mathematical physics. The description of a shape is derived from the singularities o...
Kaleem Siddiqi, Allen Tannenbaum, Steven W. Zucker
CVPR
2009
IEEE
14 years 12 months ago
Shape Analysis with Conformal Invariants for Multiply Connected Domains and its Application to Analyzing Brain Morphology
All surfaces can be classified by the conformal equivalence relation. Conformal invariants, which are shape indices that can be defined intrinsically on a surface, may be used t...
Paul M. Thompson, Tony F. Chan, Xianfeng Gu, Yalin...
CAGD
2004
84views more  CAGD 2004»
13 years 4 months ago
Shape characterization of subdivision surfaces--case studies
For subdivision surfaces, it is important to characterize local shape near flat spots and points where the surface is not twice continuously differentiable. Applying general princ...
Kestutis Karciauskas, Jörg Peters, Ulrich Rei...
CAD
2004
Springer
13 years 4 months ago
Linear one-sided stability of MAT for weakly injective 3D domain
Despite its usefulness in many applications, the medial axis transform (MAT) is very sensitive to the change of the boundary in the sense that, even if a shape is perturbed only s...
Sung Woo Choi, Hans-Peter Seidel
CVPR
1997
IEEE
13 years 9 months ago
Area and Length Minimizing Flows for Shape Segmentation
— A number of active contour models have been proposed that unify the curve evolution framework with classical energy minimization techniques for segmentation, such as snakes. Th...
Kaleem Siddiqi, Steven W. Zucker, Yves Béru...