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.
Author: | Boris A. Springborn |
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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 |