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» On the Construction of Abstract Voronoi Diagrams
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IJCGA
2008
132views more  IJCGA 2008»
13 years 7 months ago
Constructing the City Voronoi Diagram Faster
Given a set S of n point sites in the plane, the City Voronoi diagram partitions the plane into the Voronoi regions of the sites, with respect to the City metric. This metric is i...
Robert Görke, Chan-Su Shin, Alexander Wolff
COMPGEOM
2008
ACM
13 years 9 months ago
Arrangements of geodesic arcs on the sphere
This movie illustrates exact construction and maintenance of arrangements induced by arcs of great circles embedded on the sphere, also known as geodesic arcs, and exact computati...
Efi Fogel, Ophir Setter, Dan Halperin
CCCG
2003
13 years 8 months ago
Estimation of the necessary number of points in Riemannian Voronoi
G. Leibon and D. Letscher showed that for general and sufficiently dense point set its Delaunay triangulation and Voronoi diagram in Riemannian manifold exist. They also proposed ...
Kensuke Onishi, Jin-ichi Itoh
WSCG
2003
163views more  WSCG 2003»
13 years 8 months ago
Constructing Approximate Voronoi Diagrams from Digital Images of Generalized Polygons and Circular Objects
In this paper we present the geometrical construction of an approximate generalized Voronoi diagram for generalized polygons and circular objects based on their minimum geometrica...
W. L. Roque, D. Doering
CDC
2009
IEEE
117views Control Systems» more  CDC 2009»
14 years 4 days ago
An exploration strategy by constructing Voronoi diagrams with provable completeness
— We present novel exploration algorithms and a control law that enable the construction of Voronoi diagrams over unknown areas using a single autonomous vehicle equipped with ra...
Jonghoek Kim, Fumin Zhang, Magnus Egerstedt