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» Self-improving algorithms for delaunay triangulations
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AMC
2005
146views more  AMC 2005»
14 years 9 months ago
A functional language to implement the divide-and-conquer Delaunay triangulation algorithm
This paper investigates the implementation of a functional language algorithm for the divide-and-conquer Delaunay triangulation. The global aim is to improve its performance. Up t...
André L. Moura, José R. Camacho, Seb...
COMGEO
2006
ACM
14 years 9 months ago
Preferred directions for resolving the non-uniqueness of Delaunay triangulations
: This note proposes a simple rule to determine a unique triangulation among all Delaunay triangulations of a planar point set, based on two preferred directions. We show that the ...
Christopher Dyken, Michael S. Floater
COMPGEOM
2004
ACM
15 years 3 months ago
An empirical comparison of techniques for updating Delaunay triangulations
The computation of Delaunay triangulations from static point sets has been extensively studied in computational geometry. When the points move with known trajectories, kinetic dat...
Leonidas J. Guibas, Daniel Russel
97
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COMPGEOM
2008
ACM
14 years 11 months ago
Self-improving algorithms for delaunay triangulations
We study the problem of two-dimensional Delaunay triangulation in the self-improving algorithms model [1]. We assume that the n points of the input each come from an independent, ...
Kenneth L. Clarkson, C. Seshadhri
CPHYSICS
2004
93views more  CPHYSICS 2004»
14 years 9 months ago
Kinetic and dynamic Delaunay tetrahedralizations in three dimensions
We describe algorithms to implement fully dynamic and kinetic three-dimensional unconstrained Delaunay triangulations, where the time evolution of the triangulation is not only go...
Gernot Schaller, Michael Meyer-Hermann