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A variational principle for weighted Delaunay triangulations and hyperideal polyhedra

Please always quote using this URN:urn:nbn:de:0296-matheon-3244
  • We prove an existence and uniqueness theorem for weighted Delaunay triangulations (with non-intersecting site-circles) with prescribed combinatorial type and circle intersection angles. Such weighted Delaunay triangulations can also be interpreted as hyperbolic polyhedra with vertices beyond the infinite boundary. The proof is based on a variational principle. This extends similar work by Rivin on Delaunay triangulations and ideal polyhedra to weighted Delaunay triangulations and hyperideal polyhedra.

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Metadaten
Author:Boris A. Springborn
URN:urn:nbn:de:0296-matheon-3244
Referee:Günter M. Ziegler
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2006/03/14
Release Date:2006/03/14
Institute:Technische Universität Berlin
Zuse Institute Berlin (ZIB)
Preprint Number:314
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