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» Computation of Homology Groups and Generators
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GBRPR
2007
Springer
13 years 11 months ago
Computing Homology Group Generators of Images Using Irregular Graph Pyramids
We introduce a method for computing homology groups and their generators of a 2D image, using a hierarchical structure i.e. irregular graph pyramid. Starting from an image, a hiera...
Samuel Peltier, Adrian Ion, Yll Haxhimusa, Walter ...
DGCI
2005
Springer
13 years 10 months ago
Computation of Homology Groups and Generators
Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a classical one, which has not yet been fully e...
Samuel Peltier, Sylvie Alayrangues, Laurent Fuchs,...
COMPGEOM
2004
ACM
13 years 10 months ago
Computing persistent homology
We show that the persistent homology of a filtered ddimensional simplicial complex is simply the standard homology of a particular graded module over a polynomial ring. Our analy...
Afra Zomorodian, Gunnar Carlsson
ISSAC
2009
Springer
149views Mathematics» more  ISSAC 2009»
13 years 11 months ago
Interoperating between computer algebra systems: computing homology of groups with kenzo and GAP
In this paper we report on an experience communicating two computer algebra systems, namely GAP (and more concretely, its HAP package to compute in Homological Algebra) and Kenzo ...
Ana Romero, Graham Ellis, Julio Rubio
BMCBI
2007
144views more  BMCBI 2007»
13 years 4 months ago
Motif kernel generated by genetic programming improves remote homology and fold detection
Background: Protein remote homology detection is a central problem in computational biology. Most recent methods train support vector machines to discriminate between related and ...
Tony Håndstad, Arne J. H. Hestnes, Pål...