Antoine Commaret

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20242026

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math.MG2026

Continuity of the normal cycle with respect to $C^{0}$ topologies

David Cohen-Steiner, Antoine Commaret

We show that the generalized curvatures and more specifically the normal cycle of a compact subset of $R^{d}$ are continuous under weak notions of convergence, assuming an a…

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 $X$ of $R^{d}$ from a set $Y$ that is close in the Hausdorff dist…

Continuity of the normal cycle with respect to C0 topologies

Persistent Intrinsic Volumes

Continuity of the normal cycle with respect to $C^{0}$ topologies