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» On the sizes of Delaunay meshes
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COMGEO
2006
ACM
13 years 11 months ago
On the sizes of Delaunay meshes
Let P be a polyhedral domain occupying a convex volume. We prove that the size of a graded mesh of P with bounded vertex degree is within a factor O(H3 P ) of the size of any Dela...
Siu-Wing Cheng
CGF
2010
153views more  CGF 2010»
13 years 11 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
IMR
2004
Springer
14 years 4 months ago
Robust Three Dimensional Delaunay Refinement
The Delaunay Refinement Algorithm for quality meshing is extended to three dimensions. The algorithm accepts input with arbitrarily small angles, and outputs a Conforming Delauna...
Steven E. Pav, Noel Walkington
DCG
2006
102views more  DCG 2006»
13 years 11 months ago
Three-Dimensional Delaunay Mesh Generation
We propose an algorithm to compute a conforming Delaunay mesh of a bounded domain specified by a piecewise linear complex. Arbitrarily small input angles are allowed, and the inpu...
Siu-Wing Cheng, Sheung-Hung Poon
SODA
2004
ACM
94views Algorithms» more  SODA 2004»
14 years 8 days ago
A time efficient Delaunay refinement algorithm
In this paper we present a Delaunay refinement algorithm for generating good aspect ratio and optimal size triangulations. This is the first algorithm known to have sub-quadratic ...
Gary L. Miller