利用加性加权幂图将区域划分为相等区域

4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007) Pub Date : 2007-07-09 DOI:10.1109/ISVD.2007.20

T. Ohyama

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引用次数: 8

摘要

本文采用加性加权权力图对区域进行划分，使公共设施的影响范围均衡，从而达到均衡性。利用牛顿法改变权力图的权值，将区域划分为相等的区域，并得到其权值和分区，使面积相等。

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Division of a Region into Equal Areas Using Additively Weighted Power Diagrams

In this paper, we apply an additively weighted power diagram to divide a region such that the area of influence of public facilities is equalized in order to achieve equality. The weights of the power diagram were changed using Newton's method in order to divide the region into equal areas and obtain its weights and partitions such that the areas are equal.

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

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