Overview of the geometries of shape spaces and diffeomorphism groups. Zbl 1310.58005
Bauer, Martin; Bruveris, Martins; Michor, Peter W. |
|
2014
|
Constructing reparameterization invariant metrics on spaces of plane curves. Zbl 1291.58002
Bauer, Martin; Bruveris, Martins; Marsland, Stephen; Michor, Peter W. |
|
2014
|
On completeness of groups of diffeomorphisms. Zbl 1370.58003
Bruveris, Martins; Vialard, François-Xavier |
|
2017
|
Uniqueness of the Fisher-Rao metric on the space of smooth densities. Zbl 1347.58001
Bauer, Martin; Bruveris, Martins; Michor, Peter W. |
|
2016
|
Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009
Bruveris, Martins; Michor, Peter W.; Mumford, David |
|
2014
|
The momentum map representation of images. Zbl 1211.58010
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S. |
|
2011
|
Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation. Zbl 1246.58005
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. |
|
2012
|
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. Zbl 1288.35415
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. |
|
2013
|
A numerical framework for Sobolev metrics on the space of curves. Zbl 1367.49021
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Møller-Andersen, Jakob |
|
2017
|
Completeness properties of Sobolev metrics on the space of curves. Zbl 1328.58007
Bruveris, Martins |
|
2015
|
Why use Sobolev metrics on the space of curves. Zbl 1338.65043
Bauer, Martin; Bruveris, Martins; Michor, Peter W. |
|
2016
|
Homogeneous Sobolev metric of order one on diffeomorphism groups on real line. Zbl 1309.35064
Bauer, Martin; Bruveris, Martins; Michor, Peter W. |
|
2014
|
Optimal reparametrizations in the square root velocity framework. Zbl 1357.58005
Bruveris, Martins |
|
2016
|
Geometry of image registration: the diffeomorphism group and momentum maps. Zbl 1348.92094
Bruveris, Martins; Holm, Darryl D. |
|
2015
|
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II. Zbl 1290.35192
Bauer, Martin; Bruveris, Martins; Michor, Peter W. |
|
2013
|
A relaxed approach for curve matching with elastic metrics. Zbl 07194611
Bauer, Martin; Bruveris, Martins; Charon, Nicolas; Møller-Andersen, Jakob |
|
2019
|
\(R\)-transforms for Sobolev \(H^2\)-metrics on spaces of plane curves. Zbl 1315.35149
Bauer, Martin; Bruveris, Martins; Michor, Peter W. |
|
2014
|
Mixture of kernels and iterated semidirect product of diffeomorphisms groups. Zbl 1262.49005
Bruveris, Martins; Risser, Laurent; Vialard, François-Xavier |
|
2012
|
Un-reduction. Zbl 1268.37081
Bruveris, Martins; Ellis, David C. P.; Holm, Darryl D.; Gay-Balmaz, François |
|
2011
|
Regularity of maps between Sobolev spaces. Zbl 1373.58005
Bruveris, Martins |
|
2017
|
Well-posedness of the EPDiff equation with a pseudo-differential inertia operator. Zbl 1437.58013
Bauer, M.; Bruveris, M.; Cismas, E.; Escher, J.; Kolev, B. |
|
2020
|
Fractional Sobolev metrics on spaces of immersed curves. Zbl 1384.58010
Bauer, Martin; Bruveris, Martins; Kolev, Boris |
|
2018
|
Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics. Zbl 1482.58005
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. |
|
2022
|
Geometry of the Fisher-Rao metric on the space of smooth densities on a compact manifold. Zbl 1415.58005
Bruveris, Martins; Michor, Peter W. |
|
2019
|
The energy functional on the Virasoro-Bott group with the \(L ^{2}\)-metric has no local minima. Zbl 1267.35190
Bruveris, Martins |
|
2013
|
Moser’s theorem on manifolds with corners. Zbl 1398.58004
Bruveris, Martins; Michor, Peter W.; Parusiński, Adam; Rainer, Armin |
|
2018
|
Soliton solutions for the elastic metric on spaces of curves. Zbl 1396.58014
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. |
|
2018
|
Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics. Zbl 1482.58005
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. |
|
2022
|
Well-posedness of the EPDiff equation with a pseudo-differential inertia operator. Zbl 1437.58013
Bauer, M.; Bruveris, M.; Cismas, E.; Escher, J.; Kolev, B. |
|
2020
|
A relaxed approach for curve matching with elastic metrics. Zbl 07194611
Bauer, Martin; Bruveris, Martins; Charon, Nicolas; Møller-Andersen, Jakob |
|
2019
|
Geometry of the Fisher-Rao metric on the space of smooth densities on a compact manifold. Zbl 1415.58005
Bruveris, Martins; Michor, Peter W. |
|
2019
|
Fractional Sobolev metrics on spaces of immersed curves. Zbl 1384.58010
Bauer, Martin; Bruveris, Martins; Kolev, Boris |
|
2018
|
Moser’s theorem on manifolds with corners. Zbl 1398.58004
Bruveris, Martins; Michor, Peter W.; Parusiński, Adam; Rainer, Armin |
|
2018
|
Soliton solutions for the elastic metric on spaces of curves. Zbl 1396.58014
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. |
|
2018
|
On completeness of groups of diffeomorphisms. Zbl 1370.58003
Bruveris, Martins; Vialard, François-Xavier |
|
2017
|
A numerical framework for Sobolev metrics on the space of curves. Zbl 1367.49021
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Møller-Andersen, Jakob |
|
2017
|
Regularity of maps between Sobolev spaces. Zbl 1373.58005
Bruveris, Martins |
|
2017
|
Uniqueness of the Fisher-Rao metric on the space of smooth densities. Zbl 1347.58001
Bauer, Martin; Bruveris, Martins; Michor, Peter W. |
|
2016
|
Why use Sobolev metrics on the space of curves. Zbl 1338.65043
Bauer, Martin; Bruveris, Martins; Michor, Peter W. |
|
2016
|
Optimal reparametrizations in the square root velocity framework. Zbl 1357.58005
Bruveris, Martins |
|
2016
|
Completeness properties of Sobolev metrics on the space of curves. Zbl 1328.58007
Bruveris, Martins |
|
2015
|
Geometry of image registration: the diffeomorphism group and momentum maps. Zbl 1348.92094
Bruveris, Martins; Holm, Darryl D. |
|
2015
|
Overview of the geometries of shape spaces and diffeomorphism groups. Zbl 1310.58005
Bauer, Martin; Bruveris, Martins; Michor, Peter W. |
|
2014
|
Constructing reparameterization invariant metrics on spaces of plane curves. Zbl 1291.58002
Bauer, Martin; Bruveris, Martins; Marsland, Stephen; Michor, Peter W. |
|
2014
|
Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009
Bruveris, Martins; Michor, Peter W.; Mumford, David |
|
2014
|
Homogeneous Sobolev metric of order one on diffeomorphism groups on real line. Zbl 1309.35064
Bauer, Martin; Bruveris, Martins; Michor, Peter W. |
|
2014
|
\(R\)-transforms for Sobolev \(H^2\)-metrics on spaces of plane curves. Zbl 1315.35149
Bauer, Martin; Bruveris, Martins; Michor, Peter W. |
|
2014
|
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. Zbl 1288.35415
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. |
|
2013
|
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II. Zbl 1290.35192
Bauer, Martin; Bruveris, Martins; Michor, Peter W. |
|
2013
|
The energy functional on the Virasoro-Bott group with the \(L ^{2}\)-metric has no local minima. Zbl 1267.35190
Bruveris, Martins |
|
2013
|
Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation. Zbl 1246.58005
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. |
|
2012
|
Mixture of kernels and iterated semidirect product of diffeomorphisms groups. Zbl 1262.49005
Bruveris, Martins; Risser, Laurent; Vialard, François-Xavier |
|
2012
|
The momentum map representation of images. Zbl 1211.58010
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S. |
|
2011
|
Un-reduction. Zbl 1268.37081
Bruveris, Martins; Ellis, David C. P.; Holm, Darryl D.; Gay-Balmaz, François |
|
2011
|
