Tracking collective cell motion by topological data analysis
Fig 19
Persistent homology for data on a circle.
(a) Noisy versus true circle data. (b) Barcodes for the Betti numbers b0 (H0) and b1 (H1) for the noisy data. (c) Persistence diagram for the noisy data with rmax = 4 and N = 100. (d)-(g) Vietoris-Rips simplicial complexes formed from the noisy data increasing the filtration parameter r. (h) Barcodes for the Betti numbers b0 and b1 for clean data on the circle. (i) Persistence diagram for clean data on the circle, with rmax = 3 and N = 100.