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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 7 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 7 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
14 years 9 days 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 ...