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COMPGEOM
1998
ACM
15 years 2 months ago
Geometric Applications of a Randomized Optimization Technique
Abstract. We propose a simple, general, randomized technique to reduce certain geometric optimization problems to their corresponding decision problems. These reductions increase t...
Timothy M. Chan
COMPGEOM
2005
ACM
14 years 11 months ago
1-link shortest paths in weighted regions
We illustrate the Link Solver software for computing 1-link shortest paths in weighted regions. The Link Solver implements a prune-and-search method that can be used to approximat...
Ovidiu Daescu, James D. Palmer
STOC
2007
ACM
108views Algorithms» more  STOC 2007»
15 years 10 months ago
Combinatorial complexity in O-minimal geometry
In this paper we prove tight bounds on the combinatorial and topological complexity of sets defined in terms of n definable sets belonging to some fixed definable family of sets i...
Saugata Basu
CGF
2011
14 years 1 months ago
Contouring Discrete Indicator Functions
We present a method for calculating the boundary of objects from Discrete Indicator Functions that store 2material volume fractions with a high degree of accuracy. Although Marchi...
Josiah Manson, J. Smith, Scott Schaefer
SMA
2003
ACM
154views Solid Modeling» more  SMA 2003»
15 years 3 months ago
Discretization of functionally based heterogeneous objects
The presented approach to discretization of functionally defined heterogeneous objects is oriented towards applications associated with numerical simulation procedures, for exampl...
Elena Kartasheva, Valery Adzhiev, Alexander A. Pas...