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» A Pseudo-Metric for Weighted Point Sets
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COMPGEOM
2006
ACM
15 years 3 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
SGP
2003
14 years 11 months ago
Approximating and Intersecting Surfaces from Points
Point sets become an increasingly popular shape representation. Most shape processing and rendering tasks require the approximation of a continuous surface from the point data. We...
Anders Adamson, Marc Alexa
SODA
1992
ACM
179views Algorithms» more  SODA 1992»
14 years 11 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
CGF
2010
82views more  CGF 2010»
14 years 9 months ago
Poisson-Based Weight Reduction of Animated Meshes
While animation using barycentric coordinates or other automatic weight assignment methods has become a popular method for shape deformation, the global nature of the weights limi...
Eric Landreneau, Scott Schaefer
SIAMCOMP
2002
113views more  SIAMCOMP 2002»
14 years 9 months ago
Fast Greedy Algorithms for Constructing Sparse Geometric Spanners
Given a set V of n points in Rd and a real constant t > 1, we present the first O(n log n)-time algorithm to compute a geometric t-spanner on V . A geometric t-spanner on V is a...
Joachim Gudmundsson, Christos Levcopoulos, Giri Na...