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» A Pseudo-Metric for Weighted Point Sets
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COMPGEOM
2006
ACM
14 years 2 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
13 years 9 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»
13 years 9 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»
13 years 8 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»
13 years 8 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...