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cs.CG2026
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.CG2025
On the Stability of the Euler Characteristic Transform for a Perturbed Embedding
Jasmine George, Oscar Lledo Osborn, Elizabeth Munch +2
The Euler Characteristic Transform (ECT) is a robust method for shape classification. It takes an embedded shape and, for each direction, computes a piecewise constant function rep…