@inproceedings{b4e05fefad51425d85baae6954534acf,

title = "Efficient computation of 3D clipped Voronoi diagram",

abstract = "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.",

keywords = "Delaunay triangulation, Voronoi diagram, centroidal Voronoi tessellation, tetrahedral meshing",

author = "Yan, {Dong Ming} and Wenping Wang and Bruno L{\'e}vy and Yang Liu",

year = "2010",

month = jul,

day = "21",

doi = "10.1007/978-3-642-13411-1_18",

language = "English (US)",

isbn = "3642134106",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "269--282",

booktitle = "Advances in Geometric Modeling and Processing - 6th International Conference, GMP 2010, Proceedings",

note = "6th International Conference on Advances in Geometric Modeling and Processing, GMP 2010 ; Conference date: 16-06-2010 Through 18-06-2010",

}