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» Optimal Triangulation with Steiner Points
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SGP
2007
13 years 7 months ago
Triangulations with locally optimal Steiner points
We present two new Delaunay refinement algorithms, second an extension of the first. For a given input domain (a set of points or a planar straight line graph), and a threshold an...
Hale Erten, Alper Üngör
ISAAC
2007
Springer
107views Algorithms» more  ISAAC 2007»
13 years 11 months ago
Optimal Triangulation with Steiner Points
Boris Aronov, Tetsuo Asano, Stefan Funke
SODA
1992
ACM
179views Algorithms» more  SODA 1992»
13 years 6 months ago
Approximating the Minimum Weight Triangulation
We show that the length of the minimum weight Steiner triangulation (MWST) of a point set can be approximated within a constant factor by a triangulation algorithm based on quadtr...
David Eppstein
COMGEO
2006
ACM
13 years 4 months ago
Compatible triangulations and point partitions by series-triangular graphs
We introduce series-triangular graph embeddings and show how to partition point sets with them. This result is then used to prove an upper bound on the number of Steiner points nee...
Jeff Danciger, Satyan L. Devadoss, Don Sheehy
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...