Topology across scales on heterogeneous cell data
Fig 3
Examples of persistent homology.
A: Example of the alpha filtration for a point cloud forming a loop. Corresponding persistence diagram with one persistent feature in degree 1 corresponding to the loop. B: Example of persistent homology for a point cloud consisting of four loops of various sizes and densities. For each loop, we indicate the corresponding feature in the persistence diagram. Less dense loops have larger birth values, bigger loops have larger death values. C: Steps of the computation of a persistence image with weight on persistence w1(b,p) = p.