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» An Upper Bound for Conforming Delaunay Triangulations
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COMPGEOM
1992
ACM
13 years 8 months ago
An Upper Bound for Conforming Delaunay Triangulations
Herbert Edelsbrunner, Tiow Seng Tan
CIAC
2010
Springer
252views Algorithms» more  CIAC 2010»
13 years 9 months ago
On the Number of Higher Order Delaunay Triangulations
Higher order Delaunay triangulations are a generalization of the Delaunay triangulation which provides a class of well-shaped triangulations, over which extra criteria can be optim...
Dieter Mitsche, Maria Saumell, Rodrigo I. Silveira
SODA
2000
ACM
99views Algorithms» more  SODA 2000»
13 years 5 months ago
A point-placement strategy for conforming Delaunay tetrahedralization
A strategy is presented to find a set of points which yields a Conforming Delaunay tetrahedralization of a three-dimensional Piecewise-Linear Complex (PLC). This algorithm is nove...
Michael Murphy, David M. Mount, Carl W. Gable
CCCG
2009
13 years 5 months ago
On the Dilation of Delaunay Triangulations of Points in Convex Position
Let S be a finite set of points in the Euclidean plane, and let E be the complete graph whose point-set is S. Chew, in 1986, proved a lower bound of /2 on the stretch factor of th...
Shiliang Cui, Iyad A. Kanj, Ge Xia
SODA
2001
ACM
126views Algorithms» more  SODA 2001»
13 years 5 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