Conforming Delaunay triangulations in 3D

  • Authors:
  • David Cohen-Steiner;Éric Colin de Verdière;Mariette Yvinec

  • Affiliations:
  • I.N.R.I.A., Sophia-Antipolis, France;École normale supérieure, Paris, France;I.N.R.I.A., Sophia-Antipolis, France

  • Venue:
  • Proceedings of the eighteenth annual symposium on Computational geometry
  • Year:
  • 2002

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Abstract

We describe an algorithm which, for any piecewise linear complex (PLC) in 3D, builds a Delaunay triangulation conforming to this PLC.The algorithm has been implemented, and yields in practice a relatively small number of Steiner points due to the fact that it adapts to the local geometry of the PLC. It is, to our knowledge, the first practical algorithm devoted to this problem.