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» On Deletion in Delaunay Triangulations
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CIAC
2010
Springer
252views Algorithms» more  CIAC 2010»
13 years 10 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
FSTTCS
2007
Springer
13 years 11 months ago
Triangulations of Line Segment Sets in the Plane
Given a set S of line segments in the plane, we introduce a new family of partitions of the convex hull of S called segment triangulations of S. The set of faces of such a triangul...
Mathieu Brévilliers, Nicolas Chevallier, Do...
ICCSA
2004
Springer
13 years 10 months ago
The Employment of Regular Triangulation for Constrained Delaunay Triangulation
Abstract. We demonstrate a connection between a regular triangulation and a constrained Delaunay triangulation in 2D. We propose an algorithm for edge enforcement in the constraine...
Pavel Maur, Ivana Kolingerová
SODA
2003
ACM
112views Algorithms» more  SODA 2003»
13 years 6 months ago
Perturbations and vertex removal in a 3D delaunay triangulation
Though Delaunay triangulations are very well known geometric data structures, the problem of the robust removal of a vertex in a three-dimensional Delaunay triangulation is still ...
Olivier Devillers, Monique Teillaud
ESA
2001
Springer
97views Algorithms» more  ESA 2001»
13 years 9 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...