Equal-area locus-based convex polygon decomposition

被引：0
|
作者：
Adjiashvili, David [1 ]
Peleg, David [1 ]
机构：
[1] Weizmann Inst Sci, Dept Comp Sci & Appl Math, IL-76100 Rehovot, Israel
来源：
STRUCTURAL INFORMATION AND COMMUNICATION COMPLEXITY | 2008年 / 5058卷
关键词：
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper presents an algorithm for convex polygon decomposition around a given set of locations. Given an n-vertex convex polygon P and a set X of k points positioned arbitrarily inside P, the task is to divide P into k equal area convex parts, each containing exactly one point of X. The problem is motivated by a terrain covering task for a swarm of autonomous mobile robots. The algorithm runs in time O(kn + k(2) log k).
引用
收藏
页码：141 / 155
页数：15
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