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COMPGEOM
1993
ACM
13 years 11 months ago
A Linear-Time Randomized Algorithm for the Bounded Voronoi Diagram of a Simple Polygon
For a polygon P, the bounded Voronoi diagram of P is a partition of P into regions assigned to the vertices of P. A point p inside P belongs to the region of a vertex v if and onl...
Rolf Klein, Andrzej Lingas
ICRA
2000
IEEE
180views Robotics» more  ICRA 2000»
13 years 11 months ago
Interactive Motion Planning Using Hardware-Accelerated Computation of Generalized Voronoi Diagrams
We present techniques for fast motion planning by using discrete approximations of generalized Voronoi diagrams, computed with graphics hardware. Approaches based on this diagram ...
Kenneth E. Hoff III, Tim Culver, John Keyser, Ming...
ESA
2007
Springer
81views Algorithms» more  ESA 2007»
14 years 1 months ago
Farthest-Polygon Voronoi Diagrams
Given a family of k disjoint connected polygonal sites of total complexity n, we consider the farthest-site Voronoi diagram of these sites, where the distance to a site is the dis...
Otfried Cheong, Hazel Everett, Marc Glisse, Joachi...
CCCG
2008
13 years 8 months ago
Guaranteed Voronoi Diagrams of Uncertain Sites
In this paper we investigate the Voronoi diagram that is induced by a set of sites in the plane, where each site's precise location is uncertain but is known to be within a p...
Jeff Sember, William Evans
ICRA
2005
IEEE
225views Robotics» more  ICRA 2005»
14 years 21 days ago
Voronoi Toolpaths for PCB Mechanical Etch: Simple and Intuitive Algorithms with the 3D GPU
— We describe VIsolate (Voronoi Isolate), a system which performs geometric computations associated with toolpath planning for mechanical etch (also called isolation routing) of ...
Marsette Vona, Daniela Rus