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arXiv · 1105.4130

On 2-Site Voronoi Diagrams under Geometric Distance Functions

Gill Barequet·Matthew T. Dickerson·David Eppstein·David Hodorkovsky·Kira Vyatkina
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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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Gill Barequet, Matthew T. Dickerson, David Eppstein, David Hodorkovsky, Kira Vyatkina. 2011-05-20. On 2-Site Voronoi Diagrams under Geometric Distance Functions. https://doi.org/10.1007/s11390-013-1328-2

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