25 citations · 44 across the 5 of their papers we have counts for
6 papers
An algorithm to compute minimal Sullivan algebras
Antonio Garvin, Rocio Gonzalez-Diaz, Belen MEdrano
In this note, we give an algorithm that starting with a Sullivan algebra gives us its minimal model. This algorithm is a kind of modified AT-model algorithm used to compute in the…
Topological Tracking of Connected Components in Image Sequences
Rocio Gonzalez-Diaz, Maria-Jose Jimenez, Belen Medrano
Persistent homology provides information about the lifetime of homology classes along a filtration of cell complexes. Persistence barcode is a graphical representation of such info…
3D Well-composed Polyhedral Complexes
Rocio Gonzalez-Diaz, Maria-Jose Jimenez, Belen Medrano
A binary three-dimensional (3D) image is well-composed if the boundary surface of its continuous analog is a 2D manifold. Since 3D images are not often well-composed, there are…
A Tool for Integer Homology Computation: Lambda-At Model
Rocio Gonzalez-Diaz, Maria Jose Jimenez, Belen Medrano +1
In this paper, we formalize the notion of lambda-AT-model (where is a non-null integer) for a given chain complex, which allows the computation of homological information in th…
Cubical Cohomology Ring of 3D Photographs
Rocio Gonzalez-Diaz, Maria Jose Jimenez, Belen Medrano
Cohomology and cohomology ring of three-dimensional (3D) objects are topological invariants that characterize holes and their relations. Cohomology ring has been traditionally comp…
Chain Homotopies for Object Topological Representations
Rocio Gonzalez-Diaz, Maria Jose Jimenez, Belen Medrano +1
This paper presents a set of tools to compute topological information of simplicial complexes, tools that are applicable to extract topological information from digital pictures. A…