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» On Deletion in Delaunay Triangulations
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CIAC
2010
Springer
252views Algorithms» more  CIAC 2010»
15 years 6 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
15 years 7 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
15 years 6 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»
15 years 2 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»
15 years 6 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...