T. Windheuser, U. Schlickewei, F. R. Schmidt, and D. Cremers, Geometrically consistent elastic matching of 3D shapes: A linear programming solution, 2011 International Conference on Computer Vision, pp.2134-2141, 2011.
DOI : 10.1109/ICCV.2011.6126489

M. Kilian, N. J. Mitra, and H. Pottmann, Geometric modeling in shape space, Proc. SIGGRAPH, 2007.

B. Heeren, M. Rumpf, M. Wardetzky, and B. Wirth, Time-Discrete Geodesics in the Space of Shells, Computer Graphics Forum, vol.29, issue.2, pp.1755-1764, 2012.
DOI : 10.1111/j.1467-8659.2012.03180.x

L. Younes, Computable Elastic Distances Between Shapes, SIAM Journal on Applied Mathematics, vol.58, issue.2, pp.565-586, 1998.
DOI : 10.1137/S0036139995287685

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

S. Kurtek, E. Klassen, Z. Ding, and A. Srivastava, A novel riemannian framework for shape analysis of 3D objects, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp.1625-1632, 2010.
DOI : 10.1109/CVPR.2010.5539778

S. Kurtek, E. Klassen, J. C. Gore, Z. Ding, and A. Srivastava, Elastic Geodesic Paths in Shape Space of Parameterized Surfaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.34, issue.9, pp.1717-1730, 2012.
DOI : 10.1109/TPAMI.2011.233

N. Litke, M. Droske, M. Rumpf, and P. Schröderschr¨schröder, An image processing approach to surface matching, Proceedings of the Third Eurographics Symposium on Geometry Processing, ser. SGP '05, 2005.

I. H. Jermyn, S. Kurtek, E. Klassen, and A. Srivastava, Elastic Shape Matching of Parameterized Surfaces Using Square Root Normal Fields, ECCV, pp.2012-804
DOI : 10.1007/978-3-642-33715-4_58

P. W. Michor and D. Mumford, Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms, Doc. Math, vol.10, pp.217-245, 2005.

M. Bauer, P. Harms, and P. W. Michor, Curvature weighted metrics on shape space of hypersurfaces in n-space, Differential Geometry and its Applications, vol.30, issue.1, pp.33-41, 2012.
DOI : 10.1016/j.difgeo.2011.10.002

M. Bauer, P. Harms, and P. W. Michor, -Space, SIAM Journal on Imaging Sciences, vol.5, issue.1, pp.244-310, 2012.
DOI : 10.1137/100807983
URL : https://hal.archives-ouvertes.fr/hal-01258505

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

M. Fuchs, B. Jttler, O. Scherzer, and H. Yang, Shape Metrics Based on Elastic Deformations, Journal of Mathematical Imaging and Vision, vol.155, issue.2, pp.86-102, 2009.
DOI : 10.1007/s10851-009-0156-z

M. Bauer, M. Bruveris, and P. W. Michor, Overview of the Geometries of Shape Spaces and Diffeomorphism Groups, Journal of Mathematical Imaging and Vision, vol.68, issue.3, pp.60-97, 2014.
DOI : 10.1007/s10851-013-0490-z

D. G. Ebin, The manifold of Riemannian metrics Global Analysis, Proc. Sympsos. Pure Math, vol.XV, pp.11-40, 1968.

D. S. Freed and D. Groisser, The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group., The Michigan Mathematical Journal, vol.36, issue.3, 1989.
DOI : 10.1307/mmj/1029004004

O. Gil-medrano and P. W. Michor, THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS, The Quarterly Journal of Mathematics, vol.42, issue.1, 1991.
DOI : 10.1093/qmath/42.1.183

B. Clarke, The metric geometry of the manifold of Riemannian metrics over a closed manifold, Calculus of Variations and Partial Differential Equations, vol.8, issue.1, pp.533-545, 2010.
DOI : 10.1007/s00526-010-0323-5

M. Bauer, M. Bruveris, and P. W. Michor, Constructing reparametrization invariant metrics on spaces of plane curves, Differential Geometry and its Applications, pp.139-165, 2014.

S. Lahiri, D. Robinson, and E. Klassen, Precise matching of PL curves in $\mathbb{R}^N$ in the square root velocity framework, Geometry, Imaging and Computing, vol.2, issue.3, 2015.
DOI : 10.4310/GIC.2015.v2.n3.a1

E. Binz and H. R. Fischer, The manifold of embeddings of a closed manifold, Proc. Differential geometric methods in theoretical physics Lecture Notes in Physics 139, 1978.
DOI : 10.1007/3-540-10578-6_35

P. W. Michor, Manifolds of differentiable mappings [24] M. P. do Carmo, An Introduction to Differential Geometry with Applications to Elasticity, 1976.

W. Klingenberg, Eine Vorlesung in Differentialgeometrie, 1973.

P. G. Ciarlet, An Introduction to Differential Geometry with Applications to Elasticity, Journal of Elasticity, vol.36, issue.1-3, pp.78-79, 2005.
DOI : 10.1007/s10659-005-4738-8

I. Ivanova-karatopraklieva and I. K. Sabitov, Surface deformation. I, Journal of Mathematical Sciences, vol.1369, issue.No. 3, pp.1685-1716, 1994.
DOI : 10.1007/BF02110596

Q. Xie, S. Kurtek, H. Le, and A. Srivastava, Parallel Transport of Deformations in Shape Space of Elastic Surfaces, 2013 IEEE International Conference on Computer Vision, 2013.
DOI : 10.1109/ICCV.2013.112

A. Bronstein, M. Bronstein, and R. Kimmel, Numerical Geometry of Non-Rigid Shapes, 2008.
DOI : 10.1007/978-0-387-73301-2

S. Kurtek, A. Srivastava, E. Klassen, and H. Laga, Landmarkguided elastic shape analysis of spherically-parameterized surfaces, Eurographics, vol.32, issue.2, 2013.