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GMP
2006
IEEE
155views Solid Modeling» more  GMP 2006»
14 years 1 months ago
Geometric Accuracy Analysis for Discrete Surface Approximation
In geometric modeling and processing, computer graphics and computer vision, smooth surfaces are approximated by discrete triangular meshes reconstructed from sample points on the...
Junfei Dai, Wei Luo, Shing-Tung Yau, Xianfeng Gu
SGP
2003
13 years 8 months ago
Provably Good Surface Sampling and Approximation
We present an algorithm for meshing surfaces that is a simple adaptation of a greedy “farthest point” technique proposed by Chew. Given a surface S, it progressively adds poin...
Steve Oudot, Jean-Daniel Boissonnat
COMPGEOM
2006
ACM
14 years 1 months ago
Provably good sampling and meshing of Lipschitz surfaces
In the last decade, a great deal of work has been devoted to the elaboration of a sampling theory for smooth surfaces. The goal was to ensure a good reconstruction of a given surf...
Jean-Daniel Boissonnat, Steve Oudot
COMPGEOM
2008
ACM
13 years 9 months ago
Robust construction of the three-dimensional flow complex
The Delaunay triangulation and its dual the Voronoi diagram are ubiquitous geometric complexes. From a topological standpoint, the connection has recently been made between these ...
Frédéric Cazals, Aditya G. Parameswa...
IJFCS
2002
122views more  IJFCS 2002»
13 years 7 months ago
The Delaunay Hierarchy
We propose a new data structure to compute the Delaunay triangulation of a set of points in the plane. It combines good worst case complexity, fast behavior on real data, small me...
Olivier Devillers