127 citations · 779 across the 62 of their papers we have counts for
71 papers
Liouville comparison theory for blowup of Euler-Arnold equations
Martin Bauer, Stephen C. Preston, Justin Valletta
In this article we introduce a new blowup criterion for (generalized) Euler-Arnold equations on . Our method is based on treating the equation in Lagrangian coordinate…
Regularity and completeness of half-Lie groups
Martin Bauer, Philipp Harms, Peter W. Michor
Half Lie groups exist only in infinite dimensions: They are smooth manifolds and topological groups such that right translations are smooth, but left translations are merely requir…
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)…
BaRe-ESA: A Riemannian Framework for Unregistered Human Body Shapes
Emmanuel Hartman, Emery Pierson, Martin Bauer +2
We present Basis Restricted Elastic Shape Analysis (BaRe-ESA), a novel Riemannian framework for human body scan representation, interpolation and extrapolation. BaRe-ESA operates d…
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…