An upper bound for conforming Delaunay triangulations

  • Authors:
  • Herbert Edelsbrunner;Tiow Seng Tan

  • Affiliations:
  • -;-

  • Venue:
  • SCG '92 Proceedings of the eighth annual symposium on Computational geometry
  • Year:
  • 1992

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Abstract

A plane geometric graph C in R2 conforms to another such graph G if each edge of G is the union of some edges of C. It is proved that for every G with n vertices and m edges, there is a completion of a Delaunay triangulation of O(m2n) points that conforms to G. The algorithm that constructs the points is also described.