Transforming pseudo-triangulations

  • Authors:
  • Sergei Bespamyatnikh

  • Affiliations:
  • Department of Computer Science, University of Texas at Dallas, Richardson, TX

  • Venue:
  • ICCS'03 Proceedings of the 1st international conference on Computational science: PartI
  • Year:
  • 2003

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Abstract

We study the problem of transforming pseudotriangulations in the plane. We show that a pseudo-triangulation with n vertices can be transformed into another one using O(n log n) flips only. This improves the previous bound O(n2) [3]. We present an algorithm for computing a transformation between two pseudo-triangulations in O((f + n) log n) time where f is the number of flips.