127 citations · 595 across the 29 of their papers we have counts for
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Mixture of Kernels and Iterated Semidirect Product of Diffeomorphisms Groups
Martins Bruveris, Laurent Risser, François-Xavier Vialard
In the framework of large deformation diffeomorphic metric mapping (LDDMM), we develop a multi-scale theory for the diffeomorphism group based on previous works. The purpose of the…
The energy functional on the Virasoro-Bott group with the -metric has no local minima
Martins Bruveris
The geodesic equation for the right invariant -metric (which is a weak Riemannian metric) on each Virasoro-Bott group is equivalent to the KdV-equation. We prove that the corr…
A New Riemannian Setting for Surface Registration
Martin Bauer, Martins Bruveris
We present a new approach for matching regular surfaces in a Riemannian setting. We use a Sobolev type metric on deformation vector fields which form the tangent bundle to the spac…
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group
Martin Bauer, Martins Bruveris, Philipp Harms +1
We study Sobolev-type metrics of fractional order on the group $\Diff_c(M)$ of compactly supported diffeomorphisms of a manifold . We show that for the important specia…
Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation
Martin Bauer, Martins Bruveris, Philipp Harms +1
The Virasoro-Bott group endowed with the right-invariant -metric (which is a weak Riemannian metric) has the KdV-equation as geodesic equation. We prove that this metric space…