Fast Cubical Persistent Homology on 2D and 3D Images via Union-Find, Pruning, and Lookup Tables

Titouan Le Breton, Karol Szustakowski, Marie Piraud

We present Flash Cubical, a highly efficient computation of cubical persistence on a V-filtration for 2D and 3D images over ${\mathbb{F}}_2$. The implementation is built around three…