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math.MG2024
Persistent Intrinsic Volumes
David Cohen-Steiner, Antoine Commaret
We develop a new method to estimate the area, and more generally the intrinsic volumes, of a compact subset of from a set that is close in the Hausdorff dist…
math.GT2024
Generalized Morse theory for tubular neighborhoods
Antoine Commaret
We define a notion of Morse function and establish Morse theory-like theorems over offsets of any compact set in a Euclidean space at regular values of their distance function. Usi…