Computational geometry column 58

  • Authors:
  • Adrian Dumitrescu;Minghui Jiang

  • Affiliations:
  • Department of Computer Science, University of Wisconsin--Milwaukee;Department of Computer Science, Utah State University, Logan

  • Venue:
  • ACM SIGACT News
  • Year:
  • 2013

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Abstract

This column is devoted to opaque sets also known as barriers. A set of curves Γ that meet every line which intersects a given convex body B is called an opaque set or barrier for B. Although the shape and length of shortest barriers for simple bodies, such as a unit equilateral triangle or a unit square are seldom disputed, no proof of optimality is known or appears to be even near in sight.