Overview of the geometries of shape spaces and diffeomorphism groups M Bauer, M Bruveris, PW Michor Journal of Mathematical Imaging and Vision 50, 60-97, 2014 | 162 | 2014 |

Constructing reparameterization invariant metrics on spaces of plane curves M Bauer, M Bruveris, S Marsland, PW Michor Differential Geometry and its Applications 34, 139-165, 2014 | 83 | 2014 |

The momentum map representation of images M Bruveris, F Gay-Balmaz, DD Holm, TS Ratiu Journal of nonlinear science 21, 115-150, 2011 | 70 | 2011 |

Uniqueness of the Fisher–Rao metric on the space of smooth densities M Bauer, M Bruveris, PW Michor Bulletin of the London Mathematical Society 48 (3), 499-506, 2016 | 68 | 2016 |

On completeness of groups of diffeomorphisms M Bruveris, FX Vialard Journal of the European Mathematical Society 19 (5), 1507-1544, 2017 | 56 | 2017 |

Geodesic completeness for Sobolev metrics on the space of immersed plane curves M Bruveris, PW Michor, D Mumford Forum of Mathematics, Sigma 2, e19, 2014 | 52 | 2014 |

Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation M Bauer, M Bruveris, P Harms, PW Michor Annals of Global Analysis and Geometry 41, 461-472, 2012 | 51 | 2012 |

Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group M Bauer, M Bruveris, P Harms, PW Michor Annals of Global Analysis and Geometry 44 (1), 5-21, 2013 | 48 | 2013 |

A new Riemannian setting for surface registration M Bauer, M Bruveris arXiv preprint arXiv:1106.0620, 2011 | 40 | 2011 |

Optimal reparametrizations in the square root velocity framework M Bruveris SIAM Journal on Mathematical Analysis 48 (6), 4335-4354, 2016 | 36 | 2016 |

Mixture of kernels and iterated semi-direct product of diffeomorphism groups M Bruveris, L Risser, FX Vialard Multiscale Model. Simul. 10 (4), 1344-1368, 2012 | 34 | 2012 |

Geometry of image registration: The diffeomorphism group and momentum maps M Bruveris, DD Holm Geometry, Mechanics, and Dynamics: The Legacy of Jerry Marsden, 19-56, 2015 | 32 | 2015 |

A numerical framework for Sobolev metrics on the space of curves M Bauer, M Bruveris, P Harms, J Møller-Andersen SIAM Journal on Imaging Sciences 10 (1), 47-73, 2017 | 29 | 2017 |

Why use Sobolev metrics on the space of curves M Bauer, M Bruveris, PW Michor Riemannian computing in computer vision, 233-255, 2016 | 28 | 2016 |

Completeness properties of Sobolev metrics on the space of curves M Bruveris arXiv preprint arXiv:1407.0601, 2014 | 28 | 2014 |

A relaxed approach for curve matching with elastic metrics M Bauer, M Bruveris, N Charon, J Møller-Andersen ESAIM: Control, Optimisation and Calculus of Variations 25, 72, 2019 | 25 | 2019 |

R-transforms for Sobolev H^2-metrics on spaces of plane curves M Bauer, M Bruveris, PW Michor arXiv preprint arXiv:1311.3526, 2013 | 20 | 2013 |

Homogeneous Sobolev metric of order one on diffeomorphism groups on real line M Bauer, M Bruveris, PW Michor Journal of Nonlinear Science 24, 769-808, 2014 | 19 | 2014 |

Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II M Bauer, M Bruveris, PW Michor Annals of Global Analysis and Geometry 44 (4), 361-368, 2013 | 17 | 2013 |

Un-reduction M Bruveris, DCP Ellis, F Gay-Balmaz, DD Holm Journal of Geometric Mechanics 3 (4), 363-387, 2011 | 11 | 2011 |