期刊
THEORETICAL COMPUTER SCIENCE
卷 412, 期 32, 页码 4173-4186出版社
ELSEVIER
DOI: 10.1016/j.tcs.2011.01.039
关键词
Hausdorff distance; Shape matching; Impreciseness
We consider the directed Hausdorff distance between point sets in the plane, where one or both point sets consist of imprecise points. An imprecise point is modelled by a disc given by its centre and a radius. The actual position of an imprecise point may be anywhere within its disc. Due to the direction of the Hausdorff distance and whether its tight upper or lower bound is computed, there are several cases to consider. For every case we either show that the computation is NP-hard or we present an algorithm with a polynomial running time. Further we give several approximation algorithms for the hard cases and show that one of them cannot be approximated better than with factor 3, unless P = NP. (C) 2011 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据