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» Witness (Delaunay) Graphs
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CORR
2010
Springer
56views Education» more  CORR 2010»
13 years 5 months ago
Witness (Delaunay) Graphs
Boris Aronov, Muriel Dulieu, Ferran Hurtado
DCG
2008
86views more  DCG 2008»
13 years 5 months ago
Reconstruction Using Witness Complexes
We present a novel reconstruction algorithm that, given an input point set sampled from an object S, builds a one-parameter family of complexes that approximate S at different sca...
Leonidas J. Guibas, Steve Oudot
SODA
2008
ACM
118views Algorithms» more  SODA 2008»
13 years 6 months ago
Geodesic Delaunay triangulation and witness complex in the plane
We introduce a new feature size for bounded domains in the plane endowed with an intrinsic metric. Given a point x in a domain X, the homotopy feature size of X at x measures half...
Jie Gao, Leonidas J. Guibas, Steve Oudot, Yue Wang
SODA
2000
ACM
99views Algorithms» more  SODA 2000»
13 years 6 months ago
A point-placement strategy for conforming Delaunay tetrahedralization
A strategy is presented to find a set of points which yields a Conforming Delaunay tetrahedralization of a three-dimensional Piecewise-Linear Complex (PLC). This algorithm is nove...
Michael Murphy, David M. Mount, Carl W. Gable
COMPGEOM
2009
ACM
13 years 12 months ago
Incremental construction of the delaunay triangulation and the delaunay graph in medium dimension
We describe a new implementation of the well-known incremental algorithm for constructing Delaunay triangulations in any dimension. Our implementation follows the exact computing ...
Jean-Daniel Boissonnat, Olivier Devillers, Samuel ...