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COMGEO
2004
ACM
14 years 11 months ago
A lower bound on the number of triangulations of planar point sets
We show that the number of straight-edge triangulations exhibited by any set of n points in general position in the plane is bounded from below by (2.33n). 2004 Elsevier B.V. All ...
Oswin Aichholzer, Ferran Hurtado, Marc Noy
COMPGEOM
2006
ACM
15 years 5 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote
COMPGEOM
2001
ACM
15 years 3 months ago
Walking in a triangulation
Given a triangulation in the plane or a tetrahedralization in 3-space, we investigate the efficiency of locating a point by walking in the structure with different
Olivier Devillers, Sylvain Pion, Monique Teillaud
CAGD
2008
124views more  CAGD 2008»
14 years 12 months ago
All triangulations are reachable via sequences of edge-flips: an elementary proof
A simple proof is provided for the fact that the set of all possible triangulations of a planar point set in a polygonal domain is closed under the basic diagonal flip operation.
Eliyahu Osherovich, Alfred M. Bruckstein
IJFCS
2002
122views more  IJFCS 2002»
14 years 11 months ago
The Delaunay Hierarchy
We propose a new data structure to compute the Delaunay triangulation of a set of points in the plane. It combines good worst case complexity, fast behavior on real data, small me...
Olivier Devillers