Polyhedral Voronoi Cells

Details Polyhedral Voronoi Cells Polyhedral Voronoi Cells

2010-03-22

arxiv.org/abs/1003.4173v1

Contrib. to Alg. and Geo. vol. 51 no. 2 (2010)

Physics

Mathematical Physics

12 pages, 6 figures

Scientific paper

Voronoi cells of a discrete set in Euclidean space are known as generalized
polyhedra. We identify polyhedral cells of a discrete set through a direction
cone. For an arbitrary set we distinguish polyhedral from non-polyhedral cells
using inversion at a sphere and a theorem of semi-infinite linear programming.

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