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IWPEC
2004
Springer
13 years 10 months ago
The Minimum Weight Triangulation Problem with Few Inner Points
We propose to look at the computational complexity of 2-dimensional geometric optimization problems on a finite point set with respect to the number of inner points (that is, poi...
Michael Hoffmann, Yoshio Okamoto
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
COMPGEOM
2006
ACM
13 years 10 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
VIS
2004
IEEE
170views Visualization» more  VIS 2004»
14 years 6 months ago
Guaranteed Quality Triangulation of Molecular Skin Surfaces
We present an efficient algorithm to mesh the macromolecules surface model represented by the skin surface defined by Edelsbrunner. Our algorithm overcomes several challenges resi...
Ho-Lun Cheng, Xinwei Shi
SODA
2012
ACM
223views Algorithms» more  SODA 2012»
11 years 7 months ago
Data reduction for weighted and outlier-resistant clustering
Statistical data frequently includes outliers; these can distort the results of estimation procedures and optimization problems. For this reason, loss functions which deemphasize ...
Dan Feldman, Leonard J. Schulman