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» Witness (Delaunay) Graphs
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SMA
2009
ACM
134views Solid Modeling» more  SMA 2009»
14 years 2 months 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. ...
CCCG
2009
13 years 9 months ago
Relaxed Gabriel Graphs
We study a new family of geometric graphs that interpolate between the Delaunay triangulation and the Gabriel graph. These graphs share many properties with skeletons for [0, 1]...
Prosenjit Bose, Jean Cardinal, Sébastien Co...
SGP
2007
13 years 10 months ago
Triangulations with locally optimal Steiner points
We present two new Delaunay refinement algorithms, second an extension of the first. For a given input domain (a set of points or a planar straight line graph), and a threshold an...
Hale Erten, Alper Üngör
CCCG
2010
13 years 9 months ago
Some properties of higher order delaunay and gabriel graphs
We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the follo...
Prosenjit Bose, Sébastien Collette, Ferran ...
SODA
2001
ACM
126views Algorithms» more  SODA 2001»
13 years 9 months ago
Static and kinetic geometric spanners with applications
It is well known that the Delaunay Triangulation is a spanner graph of its vertices. In this paper we show that any bounded aspect ratio triangulation in two and three dimensions ...
Menelaos I. Karavelas, Leonidas J. Guibas