Off-Centers: A New Type of Steiner Points for Computing Size-Optimal Quality-Guaranteed Delaunay Triangulations

  • Alper Üngör
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2976)


We introduce a new type of Steiner points, called off-centers, as an alternative to circumcenters, to improve the quality of Delaunay triangulations. We propose a new Delaunay refinement algorithm based on iterative insertion of off-centers. We show that this new algorithm has the same quality and size optimality guarantees of the best known refinement algorithms. In practice, however, the new algorithm inserts about 40% fewer Steiner points (hence runs faster) and generates triangulations that have about 30% fewer elements compared with the best previous algorithms.


Delaunay refinement computational geometry triangulations 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Alper Üngör
    • 1
  1. 1.Department of Computer Science Duke UniversityDurhamUSA

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