开放问题:Voronoi s区域体积的计算公式

2013 10th International Symposium on Voronoi Diagrams in Science and Engineering Pub Date : 2013-07-08 DOI:10.1109/ISVD.2013.14

N. N. Medvedev, V. Voloshin

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引用次数: 1

摘要

在各种物理应用中需要快速准确地计算加加权Voronoi区域(Johnson-Mehl核或Voronoi s -区域)的体积。若能导出以双曲面为底面的锥体体积计算的解析表达式，则该问题将得到解决。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Open Problem: A Formula for Calculation of the Voronoi S-region Volume

Fast and accurate calculation of the volume of additively weighted Voronoi region (Johnson-Mehl nucleus, or Voronoi S-region) is needed in various physical applications. The problem will be solved if an analytical expression could be derived for volume calculation of the pyramid which base is a piece of the hyperboloid surface.

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2013 10th International Symposium on Voronoi Diagrams in Science and Engineering

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