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» Random triangulations of planar point sets
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CCCG
2003
13 years 7 months ago
Degree Bounds for Constrained Pseudo-Triangulations
We introduce the concept of a constrained pointed pseudo-triangulation TG of a point set S with respect to a pointed planar straight line graph G = (S, E). For the case that G for...
Oswin Aichholzer, Michael Hoffmann, Bettina Speckm...
ESA
2001
Springer
97views Algorithms» more  ESA 2001»
13 years 10 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...
CCCG
2003
13 years 7 months ago
Computing Delaunay Triangulation with Imprecise Input Data
The key step in the construction of the Delaunay triangulation of a finite set of planar points is to establish correctly whether a given point of this set is inside or outside t...
Ali Asghar Khanban, Abbas Edalat
WADS
1995
Springer
107views Algorithms» more  WADS 1995»
13 years 9 months ago
Quadrangulations of Planar Sets
We consider the problem of obtaining “nice” quadrangulations of planar sets of points. For many applications “nice” means that the quadrilaterals obtained are convex if po...
Godfried T. Toussaint
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