Edit Profile Bauer, Martin Compute Distance To: Compute Author ID: bauer.martin Published as: Bauer, M.; Bauer, Martin External Links: MGP · Wikidata Documents Indexed: 40 Publications since 2011 all top 5 Co-Authors 0 single-authored 18 Michor, Peter Wolfram 15 Bruveris, Martins 13 Harms, Philipp 5 Kolev, Boris 5 Modin, Klas 4 Joshi, Sarang C. 4 Preston, Stephen C. 3 Charon, Nicolas 3 Grasmair, Markus 2 Escher, Joachim 2 Klassen, Eric Paul 2 Møller-Andersen, Jakob 2 Su, Zhe 1 Cismas, Emanuel-Ciprian 1 Eslitzbichler, Markus 1 Fidler, Thomas 1 Kirisits, Clemens 1 Laga, Hamid 1 Marsland, Stephen R. 1 Müller, Olaf 1 Younes, Laurent all top 5 Serials 5 Differential Geometry and its Applications 4 Calculus of Variations and Partial Differential Equations 4 SIAM Journal on Imaging Sciences 3 Journal of Differential Equations 3 Annals of Global Analysis and Geometry 3 Journal of Geometric Mechanics 2 Journal of Mathematical Imaging and Vision 2 Inverse Problems and Imaging 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the London Mathematical Society 1 Journal of Differential Geometry 1 Monatshefte für Mathematik 1 Journal of Nonlinear Science 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Geometry, Imaging and Computing all top 5 Fields 30 Global analysis, analysis on manifolds (58-XX) 15 Partial differential equations (35-XX) 9 Differential geometry (53-XX) 7 Information and communication theory, circuits (94-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Numerical analysis (65-XX) 3 Computer science (68-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 30 Publications have been cited 314 times in 127 Documents Cited by ▼ Year ▼ Overview of the geometries of shape spaces and diffeomorphism groups. Zbl 1310.58005Bauer, Martin; Bruveris, Martins; Michor, Peter W. 42 2014 Sobolev metrics on shape space of surfaces. Zbl 1262.58004Bauer, Martin; Harms, Philipp; Michor, Peter W. 35 2011 Constructing reparameterization invariant metrics on spaces of plane curves. Zbl 1291.58002Bauer, Martin; Bruveris, Martins; Marsland, Stephen; Michor, Peter W. 25 2014 Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. Zbl 1288.35415Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. 20 2013 Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation. Zbl 1246.58005Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. 20 2012 Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. Zbl 1281.58003Bauer, Martin; Harms, Philipp; Michor, Peter W. 16 2012 Local and global well-posedness of the fractional order EPDiff equation on \(\mathbb{R}^d\). Zbl 1323.58007Bauer, Martin; Escher, Joachim; Kolev, Boris 15 2015 Why use Sobolev metrics on the space of curves. Zbl 1338.65043Bauer, Martin; Bruveris, Martins; Michor, Peter W. 13 2016 Sobolev metrics on the manifold of all Riemannian metrics. Zbl 1275.58007Bauer, Martin; Harms, Philipp; Michor, Peter W. 13 2013 Almost local metrics on shape space of hypersurfaces in n-space. Zbl 1251.58002Bauer, Martin; Harms, Philipp; Michor, Peter W. 13 2012 Homogeneous Sobolev metric of order one on diffeomorphism groups on real line. Zbl 1309.35064Bauer, Martin; Bruveris, Martins; Michor, Peter W. 12 2014 Geometric investigations of a vorticity model equation. Zbl 1328.35163Bauer, Martin; Kolev, Boris; Preston, Stephen C. 11 2016 A numerical framework for Sobolev metrics on the space of curves. Zbl 1367.49021Bauer, Martin; Bruveris, Martins; Harms, Philipp; Møller-Andersen, Jakob 10 2017 Uniqueness of the Fisher-Rao metric on the space of smooth densities. Zbl 1347.58001Bauer, Martin; Bruveris, Martins; Michor, Peter W. 10 2016 Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II. Zbl 1290.35192Bauer, Martin; Bruveris, Martins; Michor, Peter W. 9 2013 \(R\)-transforms for Sobolev \(H^2\)-metrics on spaces of plane curves. Zbl 1315.35149Bauer, Martin; Bruveris, Martins; Michor, Peter W. 8 2014 Landmark-guided elastic shape analysis of human character motions. Zbl 1368.65028Bauer, Martin; Eslitzbichler, Markus; Grasmair, Markus 7 2017 Metrics on spaces of immersions where horizontality equals normality. Zbl 1321.58007Bauer, Martin; Harms, Philipp 7 2015 Diffeomorphic density matching by optimal information transport. Zbl 1326.58010Bauer, Martin; Joshi, Sarang; Modin, Klas 5 2015 Curvature weighted metrics on shape space of hypersurfaces in \(n\)-space. Zbl 1237.58009Bauer, Martin; Harms, Philipp; Michor, Peter W. 5 2012 Comparing curves in homogeneous spaces. Zbl 1397.53066Su, Zhe; Klassen, Eric; Bauer, Martin 3 2018 Riemannian geometry of the space of volume preserving immersions. Zbl 1357.58013Bauer, Martin; Michor, Peter W.; Müller, Olaf 3 2016 Vanishing distance phenomena and the geometric approach to SQG. Zbl 1434.35084Bauer, Martin; Harms, Philipp; Preston, Stephen C. 2 2020 Soliton solutions for the elastic metric on spaces of curves. Zbl 1396.58014Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. 2 2018 Fractional Sobolev metrics on spaces of immersed curves. Zbl 1384.58010Bauer, Martin; Bruveris, Martins; Kolev, Boris 2 2018 Optical flow on moving manifolds. Zbl 1404.94001Bauer, Martin; Grasmair, Markus; Kirisits, Clemens 2 2015 A relaxed approach for curve matching with elastic metrics. Zbl 07194611Bauer, Martin; Bruveris, Martins; Charon, Nicolas; Møller-Andersen, Jakob 1 2019 Diffeomorphic random sampling using optimal information transport. Zbl 1426.60010Bauer, Martin; Joshi, Sarang; Modin, Klas 1 2017 On geodesic completeness for Riemannian metrics on smooth probability densities. Zbl 1376.58002Bauer, Martin; Joshi, Sarang; Modin, Klas 1 2017 Local uniqueness of the circular integral invariant. Zbl 1268.49049Bauer, Martin; Fidler, Thomas; Grasmair, Markus 1 2013 Vanishing distance phenomena and the geometric approach to SQG. Zbl 1434.35084Bauer, Martin; Harms, Philipp; Preston, Stephen C. 2 2020 A relaxed approach for curve matching with elastic metrics. Zbl 07194611Bauer, Martin; Bruveris, Martins; Charon, Nicolas; Møller-Andersen, Jakob 1 2019 Comparing curves in homogeneous spaces. Zbl 1397.53066Su, Zhe; Klassen, Eric; Bauer, Martin 3 2018 Soliton solutions for the elastic metric on spaces of curves. Zbl 1396.58014Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. 2 2018 Fractional Sobolev metrics on spaces of immersed curves. Zbl 1384.58010Bauer, Martin; Bruveris, Martins; Kolev, Boris 2 2018 A numerical framework for Sobolev metrics on the space of curves. Zbl 1367.49021Bauer, Martin; Bruveris, Martins; Harms, Philipp; Møller-Andersen, Jakob 10 2017 Landmark-guided elastic shape analysis of human character motions. Zbl 1368.65028Bauer, Martin; Eslitzbichler, Markus; Grasmair, Markus 7 2017 Diffeomorphic random sampling using optimal information transport. Zbl 1426.60010Bauer, Martin; Joshi, Sarang; Modin, Klas 1 2017 On geodesic completeness for Riemannian metrics on smooth probability densities. Zbl 1376.58002Bauer, Martin; Joshi, Sarang; Modin, Klas 1 2017 Why use Sobolev metrics on the space of curves. Zbl 1338.65043Bauer, Martin; Bruveris, Martins; Michor, Peter W. 13 2016 Geometric investigations of a vorticity model equation. Zbl 1328.35163Bauer, Martin; Kolev, Boris; Preston, Stephen C. 11 2016 Uniqueness of the Fisher-Rao metric on the space of smooth densities. Zbl 1347.58001Bauer, Martin; Bruveris, Martins; Michor, Peter W. 10 2016 Riemannian geometry of the space of volume preserving immersions. Zbl 1357.58013Bauer, Martin; Michor, Peter W.; Müller, Olaf 3 2016 Local and global well-posedness of the fractional order EPDiff equation on \(\mathbb{R}^d\). Zbl 1323.58007Bauer, Martin; Escher, Joachim; Kolev, Boris 15 2015 Metrics on spaces of immersions where horizontality equals normality. Zbl 1321.58007Bauer, Martin; Harms, Philipp 7 2015 Diffeomorphic density matching by optimal information transport. Zbl 1326.58010Bauer, Martin; Joshi, Sarang; Modin, Klas 5 2015 Optical flow on moving manifolds. Zbl 1404.94001Bauer, Martin; Grasmair, Markus; Kirisits, Clemens 2 2015 Overview of the geometries of shape spaces and diffeomorphism groups. Zbl 1310.58005Bauer, Martin; Bruveris, Martins; Michor, Peter W. 42 2014 Constructing reparameterization invariant metrics on spaces of plane curves. Zbl 1291.58002Bauer, Martin; Bruveris, Martins; Marsland, Stephen; Michor, Peter W. 25 2014 Homogeneous Sobolev metric of order one on diffeomorphism groups on real line. Zbl 1309.35064Bauer, Martin; Bruveris, Martins; Michor, Peter W. 12 2014 \(R\)-transforms for Sobolev \(H^2\)-metrics on spaces of plane curves. Zbl 1315.35149Bauer, Martin; Bruveris, Martins; Michor, Peter W. 8 2014 Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. Zbl 1288.35415Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. 20 2013 Sobolev metrics on the manifold of all Riemannian metrics. Zbl 1275.58007Bauer, Martin; Harms, Philipp; Michor, Peter W. 13 2013 Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II. Zbl 1290.35192Bauer, Martin; Bruveris, Martins; Michor, Peter W. 9 2013 Local uniqueness of the circular integral invariant. Zbl 1268.49049Bauer, Martin; Fidler, Thomas; Grasmair, Markus 1 2013 Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation. Zbl 1246.58005Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. 20 2012 Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. Zbl 1281.58003Bauer, Martin; Harms, Philipp; Michor, Peter W. 16 2012 Almost local metrics on shape space of hypersurfaces in n-space. Zbl 1251.58002Bauer, Martin; Harms, Philipp; Michor, Peter W. 13 2012 Curvature weighted metrics on shape space of hypersurfaces in \(n\)-space. Zbl 1237.58009Bauer, Martin; Harms, Philipp; Michor, Peter W. 5 2012 Sobolev metrics on shape space of surfaces. Zbl 1262.58004Bauer, Martin; Harms, Philipp; Michor, Peter W. 35 2011 all cited Publications top 5 cited Publications all top 5 Cited by 171 Authors 26 Bauer, Martin 19 Bruveris, Martins 16 Michor, Peter Wolfram 9 Kolev, Boris 6 Escher, Joachim 6 Harms, Philipp 6 Preston, Stephen C. 5 Kurtek, Sebastian 5 Modin, Klas 4 Needham, Tom 4 Schulz, Volker H. 4 Trouvé, Alain 4 Vialard, François-Xavier 3 Bharath, Karthik 3 Chen, Chong 3 Cismas, Emanuel-Ciprian 3 Gris, Barbara 3 Marsland, Stephen R. 3 Mumford, David Bryant 3 Öktem, Ozan 3 Welker, Kathrin 2 Arguillère, Sylvain 2 Charon, Nicolas 2 Clarke, Brian P. 2 Cotter, Colin John 2 Eslitzbichler, Markus 2 Feragen, Aasa 2 Grasmair, Markus 2 Holm, Darryl D. 2 Jerrard, Robert Leon 2 Joshi, Sarang C. 2 Klassen, Eric Paul 2 Lang, Lukas F. 2 Le Brigant, Alice 2 Maor, Cy 2 Marmo, Giuseppe 2 McLachlan, Robert I. 2 Møller-Andersen, Jakob 2 Newton, Nigel J. 2 Peyré, Gabriel 2 Scherzer, Otmar 2 Schumacher, Henrik 2 Shi, Wenhui 2 Siebenborn, Martin 2 Simó, Amelia 2 Su, Zhe 2 Vorotnikov, Dmitry A. 2 Wardetzky, Max 2 Washabaugh, Pearce 1 Arnaudon, Alexis 1 Asaki, Thomas J. 1 Bajaj, Chandrajit L. 1 Balseiro, Paula 1 Barahona, Sonia 1 Baust, Maximilian 1 Benn, James 1 Cabrera, Alejandro 1 Castrillón López, Marco 1 Cellat, Serdar 1 Celledoni, Elena 1 Charlier, Benjamin 1 Chhay, Boramey 1 Chizat, Lénaïc 1 Chkrebtii, Oksana A. 1 Ciaglia, Florio Maria 1 Clark, Allan 1 Deasy, Jacob 1 Desbrun, Mathieu 1 Diez, Tobias 1 Domaniç, Nevzat Onur 1 Dowty, James G. 1 du Plessis, Andrew Allan 1 Durrleman, Stanley 1 Eckhardt, Jonathan 1 Eidnes, Sølve 1 Fan, Yu 1 García-Toraño Andrés, Eduardo 1 Garcke, Jochen 1 Ghahremani-Gol, Hajar 1 Grong, Erlend 1 Gual-Arnau, Ximo 1 Guo, Xiaoyang 1 Gursky, Matthew J. 1 Haller, Stefan 1 Hiptmair, Ralf 1 Hohage, Thorsten 1 Hotz, Thomas 1 Huber, Pascal 1 Huckemann, Stephan F. 1 Ibáñez, María Victoria 1 Ibort, Alberto 1 Ibrahim, Sharif 1 Iza-Teran, Rodrigo 1 Jacobs, Henry O. 1 Jia, Hao 1 Jost, Jürgen 1 Kaltenmark, Irène 1 Karlsson, Johan M. 1 Khesin, Boris A. 1 Kirisits, Clemens ...and 71 more Authors all top 5 Cited in 54 Serials 11 Annals of Global Analysis and Geometry 9 SIAM Journal on Imaging Sciences 7 Differential Geometry and its Applications 7 Journal of Geometric Mechanics 6 Journal of Mathematical Imaging and Vision 5 Calculus of Variations and Partial Differential Equations 4 Archive for Rational Mechanics and Analysis 3 Inverse Problems 3 Journal of the American Statistical Association 3 Journal of Differential Equations 3 Monatshefte für Mathematik 3 The Journal of Geometric Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Foundations of Computational Mathematics 3 Inverse Problems and Imaging 3 Information Geometry 2 Journal of Geometry and Physics 2 Discrete and Continuous Dynamical Systems 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Bulletin of the London Mathematical Society 1 Journal of Computational and Applied Mathematics 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computer Aided Geometric Design 1 Physica D 1 Statistical Science 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 SIAM Journal on Mathematical Analysis 1 Journal of Knot Theory and its Ramifications 1 SIAM Journal on Optimization 1 Journal of Nonlinear Science 1 International Journal of Computer Vision 1 Advances in Computational Mathematics 1 Izvestiya: Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Abstract and Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Nonlinear Mathematical Physics 1 Journal of Evolution Equations 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Advances in Data Analysis and Classification. ADAC 1 Journal of Physics A: Mathematical and Theoretical 1 Forum of Mathematics, Sigma 1 SIAM/ASA Journal on Uncertainty Quantification 1 Research in the Mathematical Sciences 1 Geometric Flows all top 5 Cited in 35 Fields 62 Global analysis, analysis on manifolds (58-XX) 41 Partial differential equations (35-XX) 38 Differential geometry (53-XX) 29 Numerical analysis (65-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 17 Computer science (68-XX) 15 Statistics (62-XX) 11 Information and communication theory, circuits (94-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Functional analysis (46-XX) 6 Fluid mechanics (76-XX) 6 Biology and other natural sciences (92-XX) 5 Topological groups, Lie groups (22-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of deformable solids (74-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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