A (7/2)-approximation algorithm for guarding orthogonal art galleries with sliding cameras

Stephane Durocher, Omrit Filtser, Robert Fraser, Ali D. Mehrabi, Saeed Mehrabi

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

Abstract

Consider a sliding camera that travels back and forth along an orthogonal line segment s inside an orthogonal polygon P with n vertices. The camera can see a point p inside P if and only if there exists a line segment containing p that crosses s at a right angle and is completely contained in P. In the minimum sliding cameras (MSC) problem, the objective is to guard P with the minimum number of sliding cameras. In this paper, we give an O(n 5/2)-time (7/2)-approximation algorithm to the MSC problem on any simple orthogonal polygon with n vertices, answering a question posed by Katz and Morgenstern (2011). To the best of our knowledge, this is the first constant-factor approximation algorithm for this problem.

Original languageEnglish
Title of host publicationLATIN 2014
Subtitle of host publicationTheoretical Informatics - 11th Latin American Symposium, Proceedings
PublisherSpringer Verlag
Pages294-305
Number of pages12
ISBN (Print)9783642544224
DOIs
StatePublished - 1 Jan 2014
Event11th Latin American Theoretical Informatics Symposium, LATIN 2014 - Montevideo, Uruguay
Duration: 31 Mar 20144 Apr 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8392 LNCS

Conference

Conference11th Latin American Theoretical Informatics Symposium, LATIN 2014
Country/TerritoryUruguay
CityMontevideo
Period31/03/144/04/14

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science

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