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Feature-Preserving Reconstruction of Singular Surfaces
(The Eurographics Association and Blackwell Publishing Ltd., 2012)
Reconstructing a surface mesh from a set of discrete point samples is a fundamental problem in geometric modeling. It becomes challenging in presence of 'singularities' such as boundaries, sharp features, and non-manifolds. ...
Parallel Blue-noise Sampling by Constrained Farthest Point Optimization
(The Eurographics Association and Blackwell Publishing Ltd., 2012)
We describe a fast sampling algorithm for generating uniformly-distributed point patterns with good blue noise characteristics. The method, based on constrained farthest point optimization, is provably optimal and may be ...
Nonrigid Matching of Undersampled Shapes via Medial Diffusion
(The Eurographics Association and Blackwell Publishing Ltd., 2012)
We introduce medial diffusion for the matching of undersampled shapes undergoing a nonrigid deformation. We construct a diffusion process with respect to the medial axis of a shape, and use the quantity of heat diffusion ...