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ESA
2003
Springer
118views Algorithms» more  ESA 2003»
13 years 11 months ago
The Voronoi Diagram of Planar Convex Objects
This paper presents a dynamic algorithm for the construction of the Euclidean Voronoi diagram of a set of convex objects in the plane. We consider first the Voronoi diagram of smo...
Menelaos I. Karavelas, Mariette Yvinec
SMA
2009
ACM
134views Solid Modeling» more  SMA 2009»
14 years 20 days ago
Exact Delaunay graph of smooth convex pseudo-circles: general predicates, and implementation for ellipses
We examine the problem of computing exactly the Delaunay graph (and the dual Voronoi diagram) of a set of, possibly intersecting, smooth convex pseudo-circles in the Euclidean pla...
Ioannis Z. Emiris, Elias P. Tsigaridas, George M. ...
JPDC
2006
148views more  JPDC 2006»
13 years 6 months ago
Efficient algorithm for placing a given number of base stations to cover a convex region
In the context of mobile communication, an efficient algorithm for the base-station placement problem is developed in this paper. The objective is to place a given number of base-...
Gautam K. Das, Sandip Das, Subhas C. Nandy, Bhaban...
AAIM
2009
Springer
119views Algorithms» more  AAIM 2009»
14 years 23 days ago
Link Distance and Shortest Path Problems in the Plane
We develop algorithms to compute Voronoi diagrams, shortest path maps, and the Fr´echet distance in the plane with polygonal obstacles. Distances between points are measured eithe...
Atlas F. Cook, Carola Wenk
WADS
1993
Springer
163views Algorithms» more  WADS 1993»
13 years 10 months ago
Minimum Weight Euclidean Matching and Weighted Relative Neighborhood Graphs
The Minimum Weight Euclidean Matching (MWEM) problem is: given 2n point sites in the plane with Euclidean metric for interpoint distances, match the sites into n pairs so that the...
Andy Mirzaian