Delaunay Triangulation in Three Dimensions

  • Authors:
  • Tsung-Pao Fang;Les A. Piegl

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Computer Graphics and Applications
  • Year:
  • 1995

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Abstract

A direct algorithm for computing the Delaunay triangulation in three dimensions is presented. The algorithm uses a 3D cell data structure to preprocess the data, a range searching procedure to find Delaunay points quickly, and a shelling mechanism to put tetrahedra together in such a way that completeness and correctness are guaranteed. A face and an edge lists are used to govern the triangulation process. The convex hull can also be computed at no extra cost.