Triangulating input-constrained planar point sets

被引：19

作者：

Held, Martin ^{[2
]}

Mitchell, Joseph S. B. ^{[1
]}

机构：

[1] SUNY Stony Brook, AMS Dept, Stony Brook, NY 11794 USA

[2] Salzburg Univ, FB Comp Wissensch, A-5020 Salzburg, Austria

来源：

INFORMATION PROCESSING LETTERS | 2008年 / 109卷 / 01期

基金：

美国国家科学基金会;

关键词：

Computational geometry; Triangulation; Points; Constrained; Imprecision;

D O I：

10.1016/j.ipl.2008.09.016

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present a linear-time algorithm for computing a triangulation of n points in 2D whose positions are constrained to it disjoint disks of uniform size, after O(n log n) preprocessing applied to these disks. Our algorithin can be extended to any collection of convex sets of bounded areas and aspect ratios, assuming no point lies in more than some constant number of sets (hounded depth of overlap), and each set contains only a constant number of query points. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：54 / 56

页数：3

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