7 citations · 24 across the 10 of their papers we have counts for
6 papers · 1 filter
A diffeomorphism-invariant metric on the space of vector-valued one-forms
Martin Bauer, Eric Klassen, Stephen C. Preston +1
In this article we introduce a diffeomorphism-invariant Riemannian metric on the space of vector valued one-forms. The particular choice of metric is motivated by potential future…
Math in the Black Forest: Workshop on New Directions in Shape Analysis
Martin Bauer, Nicolas Charon, Philipp Harms +9
These are the proceedings of the workshop "Math in the Black Forest", which brought together researchers in shape analysis to discuss promising new directions. Shape analysis is an…
Metric Registration of Curves and Surfaces using Optimal Control
Martin Bauer, Nicolas Charon, Laurent Younes
This paper presents an overview of recent developments in the analysis of shapes such as curves and surfaces through Riemannian metrics. We show that several constructions of metri…
Diffeomorphic density registration
Martin Bauer, Sarang Joshi, Klas Modin
In this book chapter we study the Riemannian Geometry of the density registration problem: Given two densities (not necessarily probability densities) defined on a smooth finite di…
Strong Solutions of Mean-Field Stochastic Differential Equations with irregular drift
Martin Bauer, Thilo Meyer-Brandis, Frank Proske
We investigate existence and uniqueness of strong solutions of mean-field stochastic differential equations with irregular drift coefficients. Our direct construction of strong sol…
Vanishing distance phenomena and the geometric approach to SQG
Martin Bauer, Philipp Harms, Stephen C. Preston
In this article we study the induced geodesic distance of fractional order Sobolev metrics on the groups of (volume preserving) diffeomorphisms and symplectomorphisms. The interest…