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» On the sizes of Delaunay meshes
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117
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COMGEO
2006
ACM
15 years 21 days 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
114
Voted
CGF
2010
153views more  CGF 2010»
15 years 23 days 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
105
Voted
IMR
2004
Springer
15 years 6 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
98
Voted
DCG
2006
102views more  DCG 2006»
15 years 20 days 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
104
Voted
SODA
2004
ACM
94views Algorithms» more  SODA 2004»
15 years 2 months 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