Vertex removal in two-dimensional Delaunay triangulation: Speed-up by low degrees optimization

  • Authors:
  • Olivier Devillers

  • Affiliations:
  • INRIA Sophia Antipolis - Méditerranée, France

  • Venue:
  • Computational Geometry: Theory and Applications
  • Year:
  • 2011

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Abstract

The theoretical complexity of vertex removal in a Delaunay triangulation is often given in terms of the degree d of the removed point, with usual results O(d), O(dlogd), or O(d^2). In fact, the asymptotic complexity is of poor interest since d is usually quite small. In this paper we carefully design code for small degrees 3=