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Visibility-based pursuit-evasion in a polygonal environment

  • Leonidas J. Guibas
  • Jean-Claude Latombe
  • Steven M. Lavalle
  • David Lin
  • Rajeev Motwani
Session 2A: Invited Lecture
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1272)

Abstract

This paper addresses the problem of planning the motion of one or more pursuers in a polygonal environment to eventually “see” an evader that is unpredictable, has unknown initial position, and is capable of moving arbitrarily fast. This problem was first introduced by Suzuki and Yamashita. Our study of this problem is motivated in part by robotics applications, such as surveillance with a mobile robot equipped with a camera that must find a moving target in a cluttered workspace. A few bounds are introduced, and a complete algorithm is presented for computing a successful motion strategy for a single pursuer. For simply-connected free spaces, it is shown that the minimum number of pursuers required is θ(lg n). For multiply-connected free spaces, the bound is θ(√h+lg n) pursuers for a polygon that has n edges and h holes. A set of problems that are solvable by a single pursuer and require a linear number of recontaminations is shown. The complete algorithm searches a finite cell complex that is constructed on the basis of critical information changes. It has been implemented and computed examples are shown.

Keywords

Mobile Robot Planar Graph Information Space Simple Polygon Complete Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Leonidas J. Guibas
    • 1
  • Jean-Claude Latombe
    • 1
  • Steven M. Lavalle
    • 1
  • David Lin
    • 1
  • Rajeev Motwani
    • 1
  1. 1.Computer Science DepartmentStanford UniversityStanfordUSA

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