Title
Farthest-polygon Voronoi diagrams
Abstract
Given a family of k disjoint connected polygonal sites in general position and of total complexity n, we consider the farthest-site Voronoi diagram of these sites, where the distance to a site is the distance to a closest point on it. We show that the complexity of this diagram is O(n), and give an O(nlog^3n) time algorithm to compute it. We also prove a number of structural properties of this diagram. In particular, a Voronoi region may consist of k-1 connected components, but if one component is bounded, then it is equal to the entire region.
Year
DOI
Venue
2010
10.1016/j.comgeo.2010.11.004
european symposium on algorithms
Keywords
DocType
Volume
farthest-polygon voronoi diagram,total complexity n,voronoi region,entire region,farthest-site voronoi diagram,closest point,k-1 connected component,k disjoint,general position,polygonal site,structural property,voronoi diagram,connected component
Journal
44
Issue
ISSN
ISBN
4
Computational Geometry: Theory and Applications
3-540-75519-5
Citations 
PageRank 
References 
23
1.18
12
Authors
8
Name
Order
Citations
PageRank
Otfried Cheong159460.27
Hazel Everett229629.68
marc glisse326724.05
Joachim Gudmundsson41362100.81
Samuel Hornus516612.52
Sylvain Lazard653153.78
Mira Lee71058.06
Hyeon-suk Na818317.53