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» Separation and Approximation of Polyhedral Objects
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SODA
1992
ACM
140views Algorithms» more  SODA 1992»
13 years 5 months ago
Separation and Approximation of Polyhedral Objects
Given a family of disjoint polygons P1, P2, : : :, Pk in the plane, and an integer parameter m, it is NP-complete to decide if the Pi's can be pairwise separated by a polygon...
Joseph S. B. Mitchell, Subhash Suri
MP
2010
94views more  MP 2010»
13 years 2 months ago
MIR closures of polyhedral sets
We study the mixed-integer rounding (MIR) closures of polyhedral sets. The MIR closure of a polyhedral set is equal to its split closure and the associated separation problem is N...
Sanjeeb Dash, Oktay Günlük, Andrea Lodi
COMGEO
2008
ACM
13 years 4 months ago
Approximating polyhedral objects with deformable smooth surfaces
We propose a method to approximate a polyhedral object with a deformable smooth surface, namely the t-skin defined by Edelsbrunner
Ho-Lun Cheng, Tony Tan
SIGGRAPH
1995
ACM
13 years 8 months ago
Modeling surfaces of arbitrary topology using manifolds
We describe an extension of B-splines to surfacesof arbitrary topology, including arbitrary boundaries. The technique inherits many of the properties of B-splines: local control, ...
Cindy Grimm, John F. Hughes
DCG
2010
289views more  DCG 2010»
13 years 4 months ago
Algorithms for Approximate Shortest Path Queries on Weighted Polyhedral Surfaces
We consider the well known geometric problem of determining shortest paths between pairs of points on a polyhedral surface P, where P consists of triangular faces with positive we...
Lyudmil Aleksandrov, Hristo Djidjev, Hua Guo, Anil...