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1. The space of spheres, a geometric tool to unify duality results on Voronoi diagrams

Author

Devillers, Olivier, Meiser, Stefan, Teillaud, Monique, Geometry, Algorithms and Robotics (PRISME), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), INRIA, Max-Planck-Institut für Informatik (MPII), and Max-Planck-Gesellschaft

Subjects
[INFO.INFO-OH]Computer Science [cs]/Other [cs.OH], [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG], ComputingMilieux_MISCELLANEOUS
Abstract

We present a framework that allows to easily derive transformations for various kinds of Voronoi and Power diagrams including k-th order and weighted versions. All proofs are essentially geometric and require no analytic calculations. Some new algorithms can be presented in special cases.

Published
1992

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