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GMP
2010
IEEE

Efficient Computation of 3D Clipped Voronoi Diagram

8 years 9 months ago
Efficient Computation of 3D Clipped Voronoi Diagram
The Voronoi diagram is a fundamental geometry structure widely used in various fields, especially in computer graphics and geometry computing. For a set of points in a compact 3D domain (i.e. a finite 3D volume), some Voronoi cells of their Voronoi diagram are infinite, but in practice only the parts of the cells inside the domain are needed, as when computing the centroidal Voronoi tessellation. Such a Voronoi diagram confined to a compact domain is called a clipped Voronoi diagram. We present an efficient algorithm for computing the clipped Voronoi diagram for a set of sites with respect to a compact 3D volume, assuming that the volume is represented as a tetrahedral mesh. We also describe an application of the proposed method to implementing a fast method for optimal tetrahedral mesh generation based on the centroidal Voronoi tessellation.
Dong-Ming Yan, Wenping Wang, Bruno Lévy, Ya
Added 02 Aug 2010
Updated 02 Aug 2010
Type Conference
Year 2010
Where GMP
Authors Dong-Ming Yan, Wenping Wang, Bruno Lévy, Yang Liu
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