Martin Bauer

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Peter MichorProfessor of Mathematics, retired, University of ViennaVerified email at univie.ac.at
Philipp HarmsNTU Singapore and RISEVerified email at ntu.edu.sg
Martins BruverisLecturer, Brunel University LondonVerified email at brunel.ac.uk
Charon NicolasDepartment of Mathematics, University of HoustonVerified email at central.uh.edu
Eric KlassenProfessor of Mathematics, Florida State UniversityVerified email at math.fsu.edu
Sarang JoshiScientific Computing and Imaging Institute, Professor of Biomedical engineering, University of UtahVerified email at sci.utah.edu
Stephen C. PrestonProfessor of Mathematics, Brooklyn College and CUNY Graduate CenterVerified email at brooklyn.cuny.edu
Emmanuel HartmanFlorida State UniversityVerified email at fsu.edu
Zhe SuMichigan State UniversityVerified email at msu.edu
Yashil SukurdeepJohns Hopkins UniversityVerified email at jhu.edu
Cy MaorHebrew UniversityVerified email at mail.huji.ac.il
Tom NeedhamAssistant Professor, Florida State UniversityVerified email at fsu.edu
Stephen MarslandVictoria University of WellingtonVerified email at vuw.ac.nz
Markus GrasmairDepartment of Mathematical Sciences, NTNU TrondheimVerified email at math.ntnu.no
Joachim EscherProfessor für Mathematik, Leibniz Universität HannoverVerified email at ifam.uni-hannover.de
Tom FletcherUniversity of VirginiaVerified email at virginia.edu
Haocheng DaiUniversity of UtahVerified email at utah.edu
Mohamed Daoudi, Fellow of IAPRProfessor of Computer Science, IMT Nord EuropeVerified email at imt-nord-europe.fr
Hamid LagaMurdoch UniversityVerified email at murdoch.edu.au
Kristen CampbellUniversity of UtahVerified email at sci.utah.edu

Martin Bauer

Florida State University

Verified email at math.fsu.edu - Homepage

Differential Geometry Calculus of Variations Shape Analysis Geometric Deep Learning


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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	206	2014
Sobolev metrics on shape space of surfaces in n-space M Bauer, P Harms, PW Michor Journal of Geometric Mechanics 3 (4), 389-438., 2011	133*	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	92	2016
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	89	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, 1-12, 2011	62	2011
Almost local metrics on shape space of hypersurfaces in n-space M Bauer, P Harms, PW Michor SIAM Journal on Imaging Sciences 5 (1), 244-310, 2012	55	2012
GEODESIC DISTANCE FOR RIGHT INVARIANT SOBOLEV METRICS OF FRACTIONAL ORDER ON THE DIFFEOMORPHISM GROUP M BAUER, M BRUVERIS, P HARMS, PW MICHOR	55	2011
Diffeomorphic density matching by optimal information transport M Bauer, S Joshi, K Modin SIAM Journal on Imaging Sciences 8 (3), 1718-1751, 2015	48	2015
Diffeomorphic density registration M Bauer, S Joshi, K Modin Riemannian Geometric Statistics in Medical Image Analysis, 577-603, 2020	42*	2020
SOBOLEV METRICS ON SHAPE SPACE, II: WEIGHTED SOBOLEV METRICS AND ALMOST LOCAL METRICS. M Bauer, P Harms, PW Michor, JP Ortega Journal of Geometric Mechanics 4 (4), 2012	42	2012
A New Riemannian Setting for Surface Registration M Bauer, M Bruveris Proceedings of the Third International Workshop on Mathematical Foundations …, 2011	42	2011
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	38	2017
Elastic shape analysis of surfaces with second-order sobolev metrics: a comprehensive numerical framework E Hartman, Y Sukurdeep, E Klassen, N Charon, M Bauer International Journal of Computer Vision 131 (5), 1183-1209, 2023	36	2023
Local and global well-posedness of the fractional order EPDiff equation on Rd M Bauer, J Escher, B Kolev Journal of Differential Equations 258 (6), 2010-2053, 2015	36	2015
Geometric investigations of a vorticity model equation M Bauer, B Kolev, SC Preston Journal of Differential Equations 260 (1), 478-516, 2016	35	2016
Landmark-Guided Elastic Shape Analysis of Human Character Motions M Bauer, M Eslitzbichler, M Grasmair arXiv preprint arXiv:1502.07666, 2015	33	2015
Sobolev metrics on the Riemannian manifold of all Riemannian metrics M Bauer, P Harms, PW Michor Arxiv preprint arXiv:1102.3347, 2011	33*	2011
Vanishing distance phenomena and the geometric approach to SQG M Bauer, P Harms, SC Preston Archive for Rational Mechanics and Analysis 235 (3), 1445-1466, 2020	32	2020
Why use Sobolev metrics on the space of curves M Bauer, M Bruveris, PW Michor Riemannian Computing in Computer Vision, 233-255, 2016	32	2016
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	31	2014

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