Title
Voronoi diagram with visual restriction.
Abstract
In a normal Voronoi diagram, each site is able to see all the points in the plane. In this paper, we study the case such that each site is only able to see a visually restricted region in the plane and construct the so-called Visual Restriction Voronoi Diagram (VRVD). We show that the visual restriction Voronoi cell of each site is not necessary convex and it could consist of many disjoint regions. We prove that the combinatorial complexity of the VRVD on n sites is Θ(n 2). Then we give an O (n 2logn ) time and O (n 2) space algorithm to construct VRVD.
Year
DOI
Venue
2012
10.1007/978-3-642-29700-7_4
Theoretical Computer Science
Keywords
DocType
Volume
normal voronoi diagram,so-called visual restriction voronoi,restricted region,space algorithm,n site,visual restriction voronoi cell,disjoint region,necessary convex,combinatorial complexity
Conference
532
ISSN
Citations 
PageRank 
0304-3975
1
0.35
References 
Authors
11
4
Name
Order
Citations
PageRank
Chenglin Fan1287.24
Jun Luo222226.61
Wencheng Wang327037.99
Binhai Zhu4903109.96