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M. Bauer, M. Bruveris, and P. Michor, Why Use Sobolev Metrics on the Space of Curves, To appear in Riemannian Computing in Computer Vision
DOI : 10.1007/978-3-319-22957-7_11

M. Bauer, P. Harms, and P. Michor, Sobolev metrics on shape space of surfaces, Journal of Geometric Mechanics, vol.3, issue.4, pp.389-438, 2011.

H. Laga, S. Kurtek, A. Srivastava, and S. J. Miklavcic, Landmark-free statistical analysis of the shape of plant leaves, Journal of Theoretical Biology, vol.363, pp.41-52, 2014.
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A. L. Brigant, M. Arnaudon, and F. Barbaresco, Reparameterization invariant distance on the space of curves in the hyperbolic plane, AIP Conf. Proc. 1641, 2015.
DOI : 10.1063/1.4906016

P. Michor and D. Mumford, Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms . Documenta Math, pp.217-245, 2005.

P. Michor and D. Mumford, Riemannian geometries on spaces of plane curves, Journal of the European Mathematical Society, vol.8, pp.1-48, 2006.
DOI : 10.4171/JEMS/37

P. Michor and D. Mumford, An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach, Applied and Computational Harmonic Analysis, vol.23, issue.1, pp.74-113, 2007.
DOI : 10.1016/j.acha.2006.07.004

S. Sasaki, On the differential geometry of tangent bundles of Riemannian manifolds, Tohoku Mathematical Journal, vol.10, issue.3, pp.338-354, 1958.
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A. Srivastava, E. Klassen, S. H. Joshi, and I. H. Jermyn, Shape Analysis of Elastic Curves in Euclidean Spaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.33, issue.7, pp.1415-1428, 2011.
DOI : 10.1109/TPAMI.2010.184

J. Su, S. Kurtek, E. Klassen, and A. Srivastava, Statistical analysis of trajectories on Riemannian manifolds: Bird migration, hurricane tracking and video surveillance, The Annals of Applied Statistics, vol.8, issue.1, pp.530-552, 2014.
DOI : 10.1214/13-AOAS701

L. Younes, P. Michor, J. Shah, and D. Mumford, A metric on shape space with explicit geodesics, Rendiconti Lincei - Matematica e Applicazioni, vol.9, pp.25-57, 2008.
DOI : 10.4171/RLM/506

Z. Zhang, J. Su, E. Klassen, H. Le, and A. Srivastava, Video-based action recognition using rateinvariant analysis of covariance trajectories, p.2015