On 2-Site Voronoi Diagrams under Geometric Distance Functions

Computer Science – Computational Geometry

Scientific paper

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

Scientific paper

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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