157 citations · 347 across the 20 of their papers we have counts for
20 papers
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)…
Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms
Martin Bauer, Nicolas Charon, Eric Klassen +3
A main goal in the field of statistical shape analysis is to define computable and informative metrics on spaces of immersed manifolds, such as the space of curves in a Euclidean s…
Elastic shape analysis of surfaces with second-order Sobolev metrics: a comprehensive numerical framework
Emmanuel Hartman, Yashil Sukurdeep, Eric Klassen +2
This paper introduces a set of numerical methods for Riemannian shape analysis of 3D surfaces within the setting of invariant (elastic) second-order Sobolev metrics. More specifica…
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…
Entropy of real rational surface automorphisms: Actions on the Fundamental Groups
Kyounghee Kim, Eric P. Klassen
This article discusses a method to compute the induced action on the fundamental group of a real rational surface and provides the induced actions for basic quadratic real automorp…
Supervised deep learning of elastic SRV distances on the shape space of curves
Emmanuel Hartman, Yashil Sukurdeep, Nicolas Charon +2
Motivated by applications from computer vision to bioinformatics, the field of shape analysis deals with problems where one wants to analyze geometric objects, such as curves, whil…