paper

On 2-Site Voronoi Diagrams under Geometric Distance Functions

arXiv:1105.4130 · doi:10.1007/s11390-013-1328-2

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.

8 pages, 7 figures; to appear in Proc. the 8th ISVD, Qingdao, China, June 28-30, 2011, published by IEEE CS