4 papers
Quadratic Forms for Measuring Geometric Trees in 3-dimensional Space
Yossi Bokor Bleile, Emanuele Cortinovis, Herbert Edelsbrunner +1
Tree-like structures appear in many areas of science, and their shapes can help understand the underlying processes they drive or that give rise to them. By thinking of these struc…
Persistent Homology as a Morphological Signature of Fibrin Networks
Thomas Burnett, Theresa Reinhold, Bea Bleile +5
We present an investigation of the applicability of topological data analysis (TDA) to the study of high-resolution confocal microscopy images of fibrin network structures from pat…
Persistence diagrams as morphological signatures of cells: A method to measure and compare cells within a population
Yossi Bokor Bleile, Pooja Yadav, Patrice Koehl +1
Cell biologists study in parallel the morphology of cells with the regulation mechanisms that modify this morphology. Such studies are complicated by the inherent heterogeneity pre…
Identifying cobordisms using kernel persistence
Yossi Bokor Bleile, Lisbeth Fajstrup, Teresa Heiss +2
Motivated by applications in chemistry, we give a homlogical definition of tunnels, or more generally cobordisms, connecting disjoint parts of a cell complex. For a filtered comple…