25 citations · 35 across the 4 of their papers we have counts for
4 papers
Effective persistent homology of digital images
Ana Romero, Julio Rubio, Francis Sergeraert
In this paper, three Computational Topology methods (namely effective homology, persistent homology and discrete vector fields) are mixed together to produce algorithms for homolog…
Defining and computing persistent Z-homology in the general case
Ana Romero, Jónathan Heras, Julio Rubio +1
By general case we mean methods able to process simplicial sets and chain complexes not of finite type. A filtration of the object to be studied is the heart of both subjects persi…
Procesamiento topo-geométrico de imágenes neuronales
Ana Romero, Jónathan Heras, Gadea Mata +1
Fruit of the relationship of our research group with the team coordinated by the biologist Miguel Morales (http://spineup.es), we have applied different topo-geometric techniques f…
Discrete Vector Fields and Fundamental Algebraic Topology
Ana Romero, Francis Sergeraert
We show in this text how the most important homology equivalences of fundamental Algebraic Topology can be obtained as reductions associated to discrete vector fields. Mainly the h…