74 citations · 130 across the 11 of their papers we have counts for
12 papers
Topology of Multi-species Localization
Abhinav Natarajan, Thomas Chaplin, Joshua A. Bull +5
Spatial relationships in multi-species data can indicate and affect system outcomes and behaviors, ranging from disease progression in cancer to coral reef resilience in ecology; t…
Morse theory for chromatic Delaunay triangulations
Abhinav Natarajan, Thomas Chaplin, Adam Brown +1
The chromatic alpha filtration is a generalization of the alpha filtration that can encode spatial relationships among classes of labelled point cloud data, and has applications in…
A Survey of Vectorization Methods in Topological Data Analysis
Dashti Ali, Aras Asaad, Maria-Jose Jimenez +3
Attempts to incorporate topological information in supervised learning tasks have resulted in the creation of several techniques for vectorizing persistent homology barcodes. In th…
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…
Characterising epithelial tissues using persistent entropy
N. Atienza, L. M. Escudero, M. J. Jimenez +1
In this paper, we apply persistent entropy, a novel topological statistic, for characterization of images of epithelial tissues. We have found out that persistent entropy is able t…
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…