The geodesic 2-center problem in a simple polygon

被引:7
作者
Oh, Eunjin [1 ]
De Carufel, Jean-Lou [2 ]
Ahn, Hee-Kap [1 ]
机构
[1] Pohang Univ Sci & Technol, Dept Comp Sci & Engn, Pohang, South Korea
[2] Univ Ottawa, Ottawa, ON, Canada
来源
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS | 2018年 / 74卷
关键词
Simple polygons; k-center problem; Geodesic distance; LINEAR-TIME ALGORITHMS;
D O I
10.1016/j.comgeo.2018.02.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the geodesic 2-center problem in a simple polygon with n vertices, we find a set S of two points in the polygon that minimizes the maximum geodesic distance from any point of the polygon to its closest point in S. In this paper, we present an O (n(2) log(2) n)-time algorithm for this problem using O (n) space. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:21 / 37
页数:17
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