Title
On the Farthest-Neighbor Voronoi Diagram of Segments in Three Dimensions
Abstract
We consider the farthest-neighbor Voronoi diagram of a set of line segments in three dimensions. To understand the structure of the diagram, we define the ``farthest hull'' of the segments and investigate it by its representation in a Gaussian map. We then provide lower and upper bounds on the worst-case complexities of the farthest hull and of the Voronoi diagram.
Year
DOI
Venue
2013
10.1109/ISVD.2013.15
ISVD
Keywords
Field
DocType
farthest-neighbor voronoi diagram,worst-case complexity,line segment,farthest hull,gaussian map,upper bound,voronoi diagram,computer science,gaussian processes,computational geometry
Line segment,Power diagram,Combinatorics,Computational geometry,Diagram,Cluster diagram,Gaussian,Weighted Voronoi diagram,Voronoi diagram,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
9
Authors
2
Name
Order
Citations
PageRank
Gill Barequet180986.97
Evanthia Papadopoulou211018.37