3 papers
math.MG2026
Continuity of the normal cycle with respect to topologies
David Cohen-Steiner, Antoine Commaret
We show that the generalized curvatures and more specifically the normal cycle of a compact subset of are continuous under weak notions of convergence, assuming an a…
cs.CG2024
Wasserstein convergence of Čech persistence diagrams for samplings of submanifolds
Charles Arnal, David Cohen-Steiner, Vincent Divol
Čech Persistence diagrams (PDs) are topological descriptors routinely used to capture the geometry of complex datasets. They are commonly compared using the Wasserstein distances $…
math.DG2023
Critical points of the distance function to a generic submanifold
Charles Arnal, David Cohen-Steiner, Vincent Divol
In general, the critical points of the distance function to a compact submanifold can be poorly behaved. In this article, we show…