An efficient convex hull algorithm for finite point sets in 3D based on the Method of Orienting Curves

被引：10

作者：

Phan Thanh An ^{[1
,2
]}

Le Hong Trang ^{[1
]}

机构：

[1] Inst Super Tecn, CEMAT, P-1049001 Lisbon, Portugal

[2] Inst Math, Hanoi 10307, Vietnam

来源：

OPTIMIZATION | 2013年 / 62卷 / 07期

关键词：

geometric computing; convex hull algorithms; gift-wrapping algorithm; method of orienting curves; 52B55; 65D18;

D O I：

10.1080/02331934.2011.623163

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This article describes an efficient convex hull algorithm for finite point sets in 3D based on the idea of the Method of Orienting Curves (introduced by Phu in Optimization, 18 (1987) pp. 65-81, for solving optimal control problems with state constraints). The actual run times of our algorithm and known gift-wrapping algorithm on the set of random points (in uniform distribution) show that our algorithm runs significantly faster than the gift-wrapping one.

引用

页码：975 / 988

页数：14

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