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 ...
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,...
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...
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 ...
Background: Protein remote homology detection is a central problem in computational biology. Most recent methods train support vector machines to discriminate between related and ...