TY - GEN A1 - Springborn, Boris A. T1 - A variational principle for weighted Delaunay triangulations and hyperideal polyhedra N2 - 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. Y1 - 2006 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/324 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-3244 ER -