Variational Principle for Weighted Delaunay Triangulations and Hyperideal Polyhedra

  title={Variational Principle for Weighted Delaunay Triangulations and Hyperideal Polyhedra},
  author={Boris Springborn},
1.1. Overview. Rivin developed a variational method to prove the existence and uniqueness of ideal hyperbolic polyhedra with prescribed combinatorial type and dihedral angles, or equivalently, of planar Delaunay triangulations with prescribed combinatorial type and circumcircle intersection angles [26]. The purpose of this article is to extend this method to hyperideal polyhedra and to weighted Delaunay triangulations. Section 2 contains the basic definitions and a precise statement of the… CONTINUE READING


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