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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…
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…