Algorithm for Creating Voronoi Diagrams for Two-Dimensional Riemannian Manifolds
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    Abstract:

    This paper describes objects by Riemannian manifolds and creates Voronoi diagrams based on charts. Difficulties in studying Voronoi diagrams for Riemannian manifolds are discussed. A theorem in existence is given, which demonstrates the present condition of Voronoi diagrams for Riemannian manifolds in a chart. According to the idea and theorem, this paper describes the algorithm of creating charts for two-dimensional Riemannian manifolds and presents the definitions of transition and blend functions. Finally, the algorithm of creating Voronoi diagrams based on charts is given, and some examples are provided.

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程丹,杨钦,李吉刚,蔡强.二维黎曼流形的Voronoi图生成算法.软件学报,2009,20(9):2407-2416

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History
  • Received:March 01,2008
  • Revised:January 04,2009
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