36 citations · 42 across the 14 of their papers we have counts for
3 papers · 1 filter
Sobolev Metrics on Spaces of Discrete Regular Curves
Jonathan Cerqueira, Emmanuel Hartman, Eric Klassen +1
Reparametrization invariant Sobolev metrics on spaces of regular curves have been shown to be of importance in the field of mathematical shape analysis. For practical applications,…
Square Root Normal Fields for Lipschitz surfaces and the Wasserstein Fisher Rao metric
Emmanuel Hartman, Martin Bauer, Eric Klassen
The Square Root Normal Field (SRNF) framework is a method in the area of shape analysis that defines a (pseudo) distance between unparametrized surfaces. For piecewise linear (PL)…
The Square Root Normal Field Distance and Unbalanced Optimal Transport
Martin Bauer, Emmanuel Hartman, Eric Klassen
This paper explores a novel connection between two areas: shape analysis of surfaces and unbalanced optimal transport. Specifically, we characterize the square root normal field (S…