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» Self-improving algorithms for delaunay triangulations
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DCG
2008
86views more  DCG 2008»
14 years 9 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
DCG
2008
118views more  DCG 2008»
14 years 9 months ago
General-Dimensional Constrained Delaunay and Constrained Regular Triangulations, I: Combinatorial Properties
Two-dimensional constrained Delaunay triangulations are geometric structures that are popular for interpolation and mesh generation because they respect the shapes of planar domai...
Jonathan Richard Shewchuk
IJCGA
2002
69views more  IJCGA 2002»
14 years 9 months ago
On Deletion in Delaunay Triangulations
This paper presents how the space of spheres and shelling may be used to delete a point from a d-dimensional triangulation efficiently. In dimension two, if k is the degree of the...
Olivier Devillers
CGF
2010
153views more  CGF 2010»
14 years 9 months ago
Localized Delaunay Refinement for Sampling and Meshing
The technique of Delaunay refinement has been recognized as a versatile tool to generate Delaunay meshes of a variety of geometries. Despite its usefulness, it suffers from one la...
Tamal K. Dey, Joshua A. Levine, A. Slatton
OPODIS
2004
14 years 11 months ago
Fast Localized Delaunay Triangulation
A localized Delaunay triangulation owns the following interesting properties in a wireless ad hoc setting: it can be built with localized information, the communication cost impos...
Filipe Araújo, Luís Rodrigues