157 citations · 347 across the 20 of their papers we have counts for
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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…
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…
Intrinsic Riemannian metrics on spaces of curves: theory and computation
Martin Bauer, Nicolas Charon, Eric Klassen +1
This chapter reviews some past and recent developments in shape comparison and analysis of curves based on the computation of intrinsic Riemannian metrics on the space of curves mo…
Closed surfaces with different shapes that are indistinguishable by the SRNF
Eric Klassen, Peter W. Michor
The Square Root Normal Field (SRNF), introduced by Jermyn et al. in [3], provides a way of representing immersed surfaces in , and equipping the set of these immersion…
Shape Analysis of Surfaces Using General Elastic Metrics
Zhe Su, Martin Bauer, Stephen C. Preston +2
In this article we introduce a family of elastic metrics on the space of parametrized surfaces in 3D space using a corresponding family of metrics on the space of vector valued one…