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CORR
2010
Springer
115views Education» more  CORR 2010»
13 years 5 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
DGCI
2006
Springer
13 years 8 months ago
Optimization Schemes for the Reversible Discrete Volume Polyhedrization Using Marching Cubes Simplification
The aim of this article is to present a reversible and topologically correct construction of a polyhedron from a binary object. The proposed algorithm is based on a Marching Cubes...
David Coeurjolly, Florent Dupont, Laurent Jospin, ...
SIGGRAPH
2010
ACM
13 years 9 months ago
Triangle surfaces with discrete equivalence classes
We propose a technique that takes a triangulated surface as input and outputs a surface with the same topology but altered geometry such that each polygon falls into a set of disc...
Mayank Singh, Scott Schaefer
SMA
2003
ACM
154views Solid Modeling» more  SMA 2003»
13 years 10 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...
GECCO
2007
Springer
166views Optimization» more  GECCO 2007»
13 years 8 months ago
Understanding particle swarms through simplification: a study of recombinant PSO
Simplified forms of the particle swarm algorithm are very beneficial in contributing to understanding of what makes a PSO swarm function in the way that it does. One of these form...
Daniel Bratton, Tim Blackwell