74 citations · 130 across the 11 of their papers we have counts for
5 papers · 1 filter
Stable Topological Summaries for Analyzing the Organization of Cells in a Packed Tissue
N. Atienza, M. J. Jimenez, M. Soriano-Trigueros
We use Topological Data Analysis tools for studying the inner organization of cells in segmented images of epithelial tissues. More specifically, for each segmented image, we compu…
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…