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» Approximating the Minimum Weight Triangulation
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SODA
1992
ACM
179views Algorithms» more  SODA 1992»
14 years 10 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
CCCG
2007
14 years 11 months ago
Triangulations Loosing Bundles and Weight
We introduce bundle-free triangulations, that are free of large collection of triangles overlapping a circle empty of vertices. We prove that bundle-free Steiner triangulations ca...
Cem Boyaci, Hale Erten, Alper Üngör
COMGEO
2002
ACM
14 years 9 months ago
Quadtree, ray shooting and approximate minimum weight Steiner triangulation
We present a quadtree-based decomposition of the interior of a polygon with holes. The complete decomposition yields a constant factor approximation of the minimum weight Steiner ...
Siu-Wing Cheng, Kam-Hing Lee
JCO
2010
169views more  JCO 2010»
14 years 8 months ago
An almost four-approximation algorithm for maximum weight triangulation
We consider the following planar maximum weight triangulation (MAT) problem: given a set of n points in the plane, find a triangulation such that the total length of edges in tria...
Shiyan Hu