3 papers
cs.CG2025
Computing the Bottleneck Distance between Persistent Homology Transforms
Michael Kerber, Elena Xinyi Wang
The Persistent Homology Transform (PHT) summarizes a shape in by collecting persistence diagrams obtained from linear height filtrations in all directions on $\mathb…
math.AT2024
Probabilistic Analysis of Multiparameter Persistence Decompositions
Ángel Javier Alonso, Michael Kerber, Primoz Skraba
Multiparameter persistence modules can be uniquely decomposed into indecomposable summands. Among these indecomposables, intervals stand out for their simplicity, making them prefe…
cs.CG2023
Delaunay Bifiltrations of Functions on Point Clouds
Ángel Javier Alonso, Michael Kerber, Tung Lam +1
The Delaunay filtration of a point cloud is a central tool of computational topology. Its use is justified by the topological equ…