25 citations · 35 across the 3 of their papers we have counts for
3 papers
cs.CV2014★ 2 cited
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…
cs.CG2014★ 8 cited
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…
math.AT2010★ 25 cited
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…