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DCG
2010
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13 years 4 months ago
Delaunay Refinement for Piecewise Smooth Complexes
We present a Delaunay refinement algorithm for meshing a piecewise smooth complex in three dimensions. The algorithm protects edges with weighted points to avoid the difficulty po...
Siu-Wing Cheng, Tamal K. Dey, Edgar A. Ramos
CCCG
1994
13 years 5 months ago
Cardinality Bounds for Triangulations with Bounded Minimum Angle
We consider bounding the cardinality of an arbitrary triangulation with smallest angle : We show that if the local feature size (i.e. distance between disjoint vertices or edges) ...
Scott A. Mitchell
COMPGEOM
2006
ACM
13 years 10 months ago
A sampling theory for compact sets in Euclidean space
Abstract We introduce a parameterized notion of feature size that interpolates between the minimum of the local feature size and the recently introduced weak feature size. Based on...
Frédéric Chazal, David Cohen-Steiner...
COMPGEOM
2006
ACM
13 years 10 months ago
Provably good sampling and meshing of Lipschitz surfaces
In the last decade, a great deal of work has been devoted to the elaboration of a sampling theory for smooth surfaces. The goal was to ensure a good reconstruction of a given surf...
Jean-Daniel Boissonnat, Steve Oudot