A time-optimal delaunay refinement algorithm in two dimensions

  • Authors:
  • Sariel Har-Peled;Alper Üngör

  • Affiliations:
  • University of Illinois, Urbana, IL;University of Florida, Gainesville, FL

  • Venue:
  • SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
  • Year:
  • 2005

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Abstract

We propose a new refinement algorithm to generate size-optimal quality-guaranteed Delaunay triangulations in the plane. The algorithm takes O(n log n + m) time, where n is the input size and m is the output size. This is the first time-optimal Delaunay refinement algorithm.