Orphan-Free Anisotropic Voronoi Diagrams

Details Orphan-Free Anisotropic Voronoi Diagrams Orphan-Free Anisotropic Voronoi Diagrams

2011-02-17

arxiv.org/abs/1102.3670v1

Computer Science

Computational Geometry

17 pages, 6 figures

Scientific paper

We describe conditions under which an appropriately-defined anisotropic
Voronoi diagram of a set of sites in Euclidean space is guaranteed to be
composed of connected cells in any number of dimensions. These conditions are
natural for problems in optimization and approximation, and algorithms already
exist to produce sets of sites that satisfy them.

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