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On 2-Site Voronoi Diagrams under Geometric Distance Functions

Published 20 May 2011 in cs.CG | (1105.4130v1)

Abstract: We revisit a new type of a Voronoi diagram, in which distance is measured from a point to a pair of points. We consider a few more such distance functions, based on geometric primitives, and analyze the structure and complexity of the nearest- and furthest-neighbor Voronoi diagrams of a point set with respect to these distance functions.

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