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» Splitting a Delaunay Triangulation in Linear Time
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ESA
2001
Springer
97views Algorithms» more  ESA 2001»
15 years 2 months ago
Splitting a Delaunay Triangulation in Linear Time
Computing the Delaunay triangulation of n points requires usually a minimum of (n log n) operations, but in some special cases where some additional knowledge is provided, faster a...
Bernard Chazelle, Olivier Devillers, Ferran Hurtad...
COMPGEOM
2008
ACM
15 years 4 days 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
COMPGEOM
2005
ACM
15 years 9 days ago
Star splaying: an algorithm for repairing delaunay triangulations and convex hulls
Star splaying is a general-dimensional algorithm that takes as input a triangulation or an approximation of a convex hull, and produces the Delaunay triangulation, weighted Delaun...
Jonathan Richard Shewchuk
IJCGA
2002
69views more  IJCGA 2002»
14 years 10 months ago
On Deletion in Delaunay Triangulations
This paper presents how the space of spheres and shelling may be used to delete a point from a d-dimensional triangulation efficiently. In dimension two, if k is the degree of the...
Olivier Devillers