Laguerre Voronoi图的扫面分析

4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007) Pub Date : 2007-07-09 DOI:10.1109/ISVD.2007.32

M. Gavrilova, J. Rokne

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引用次数: 2

摘要

讨论了扫描平面技术在拉盖尔几何(或拉盖尔沃罗诺伊图)中加权沃罗诺伊图构造中的应用。结果表明，利用扫描平面法构造拉盖尔Voronoi图的尝试，将原问题转化为构造不同地点的拉盖尔图问题。由此可见，拉盖尔几何中的加权Voronoi图是所有输入点集合族的不变量。

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On Sweep-plane Analysis of Laguerre Voronoi Diagram

We discuss application of the sweep-plane technique for the construction of weighted Voronoi diagram in Laguerre geometry (or Laguerre Voronoi diagram). It is shown that the attempt to construct Laguerre Voronoi diagram utilizing the sweep-plane approach transforms the original problem for a given set of weighted sites to the problem of constructing Laguerre diagram for a different set of sites. It follows that the weighted Voronoi diagram in Laguerre geometry is an invariant of a family of all input sets of sites.

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来源期刊

4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)

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