Sweeping simple polygons with the minimum number of chain guards

  • Authors:
  • Xuehou Tan

  • Affiliations:
  • Tokai University, 317 Nishino, Numazu 410-0395, Japan

  • Venue:
  • Information Processing Letters
  • Year:
  • 2007

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Abstract

We study the problem of detecting a moving target using a group of k+1 (k is a positive integer) mobile guards inside a simple polygon. Our guards always form a simple polygonal chain within the polygon such that consecutive guards along the chain are mutually visible. In this paper, we introduce the notion of the link-k diagram of a polygon, which records the pairs of points on the polygon boundary such that the link distance between any of these pairs is at most k and a transition relation among minimum-link (=