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VRIPHYS
2010
13 years 5 months ago
Optimization-based Fluid Simulation on Unstructured Meshes
We present a novel approach to fluid simulation, allowing us to take into account the surface energy in a precise manner. This new approach combines a novel, topology-adaptive app...
Marek Krzysztof Misztal, Robert Bridson, Kenny Erl...
SMI
2007
IEEE
129views Image Analysis» more  SMI 2007»
14 years 5 months ago
Localized Homology
In this paper, we introduce localized homology, a theory for finding local geometric descriptions for topological attributes. Given a space and a cover of subspaces, we construct...
Afra Zomorodian, Gunnar Carlsson
IPSN
2005
Springer
14 years 4 months ago
Coverage and hole-detection in sensor networks via homology
We consider coverage problems in sensor networks of stationary nodes with minimal geometric data. In particular, there are no coordinates and no localization of nodes. We introduc...
Robert Ghrist, Abubakr Muhammad
ITA
2006
100views Communications» more  ITA 2006»
13 years 11 months ago
Sequences of low arithmetical complexity
Arithmetical complexity of a sequence is the number of words of length n that can be extracted from it according to arithmetic progressions. We study uniformly recurrent words of l...
Sergey V. Avgustinovich, Julien Cassaigne, Anna E....
COMPGEOM
2011
ACM
13 years 2 months ago
Zigzag persistent homology in matrix multiplication time
We present a new algorithm for computing zigzag persistent homology, an algebraic structure which encodes changes to homology groups of a simplicial complex over a sequence of sim...
Nikola Milosavljevic, Dmitriy Morozov, Primoz Skra...