On computing the optimal bridge between two convex polygons

  • Authors:
  • Binary Bhattacharya;Robert Benkoczi

  • Affiliations:
  • Simon Fraser Univ., Burnaby, BC, Canada;Simon Fraser Univ., Burnaby, BC, Canada

  • Venue:
  • Information Processing Letters
  • Year:
  • 2001

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Abstract

Given two convex polygons P and Q we want to find a line segment (a bridge) that connects P and Q so that the maximum distance from a point inside P across the bridge to a point inside Q is minimized. We propose a linear-time algorithm to solve this problem, improving the O(n2log(n)) algorithm described by Cai, Xu and Zhu [Inform. Process. Lett. 69 (1999) 127-130].