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Minimum-link paths among obstacles in the plane

  • Cornell University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

19 Scopus citations

Abstract

Given a set of nonintersecting polygonal obstacles in the plane, the link distance between two points s and t is the minimum number of edges required to form a polygonal path connecting s to t that avoids all obstacles. We present an algorithm that computes the link distance (and a corresponding minimum-link path) between two points in time O(Eα(n) log2 n) (and space O(E)), where n is the total number of edges of the obstacles, E is the size of the visibility graph, and α(n) denotes the extremely slowly growing inverse of Ackermann's function.

Original languageEnglish
Title of host publicationProc Sixth Annu Symp Comput Geom
PublisherPubl by ACM
Pages63-72
Number of pages10
ISBN (Print)0897913620, 9780897913621
DOIs
StatePublished - 1990
EventProceedings of the Sixth Annual Symposium on Computational Geometry - Berkeley, CA, USA
Duration: Jun 6 1990Jun 8 1990

Publication series

NameProc Sixth Annu Symp Comput Geom

Conference

ConferenceProceedings of the Sixth Annual Symposium on Computational Geometry
CityBerkeley, CA, USA
Period06/6/9006/8/90

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