D. G. Kendall, Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces, Bulletin of the London Mathematical Society, vol.16, issue.2, pp.18-121, 1984.
DOI : 10.1112/blms/16.2.81

F. L. Bookstein, Size and Shape Spaces for Landmark Data in Two Dimensions, Statistical Science, vol.1, issue.2, pp.181-242, 1986.
DOI : 10.1214/ss/1177013696

K. V. Mardia and I. L. Dryden, Shape distributions for landmark data, Advances in Applied Probability, vol.90, issue.04, pp.742-755, 1989.
DOI : 10.1214/ss/1177013696

I. Dryden and K. Mardia, Statistical Shape Analysis, 1998.

C. G. Small, The statistical theory of shape, 1996.
DOI : 10.1007/978-1-4612-4032-7

T. F. Cootes, C. J. Taylor, D. H. Cooper, and J. Graham, Active Shape Models-Their Training and Application, Computer Vision and Image Understanding, vol.61, issue.1, pp.61-99, 1995.
DOI : 10.1006/cviu.1995.1004

URL : https://www.escholar.manchester.ac.uk/api/datastream?publicationPid=uk-ac-man-scw:1d1862&datastreamId=POST-PEER-REVIEW-PUBLISHERS.PDF

A. Kelemen, G. Székely, and G. Gerig, Elastic model-based segmentation of 3-D neuroradiological data sets, IEEE Transactions on Medical Imaging, vol.18, issue.10, pp.828-839, 1999.
DOI : 10.1109/42.811260

P. T. Fletcher, C. Lu, and S. Joshi, Statistics of shape via principal geodesic analysis on Lie groups, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings., pp.95-101, 2003.
DOI : 10.1109/CVPR.2003.1211342

E. Klassen, A. Srivastava, W. Mio, and S. H. Joshi, Analysis of planar shapes using geodesic paths on shape spaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.26, issue.3, pp.372-383, 2003.
DOI : 10.1109/TPAMI.2004.1262333

E. Sharon and D. Mumford, 2d-shape analysis using conformal mapping, Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp.350-357, 2004.
DOI : 10.1007/s11263-006-6121-z

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.122.783

P. W. Michor and D. Mumford, Riemannian geometries on spaces of plane curves, Journal of the European Mathematical Society
DOI : 10.4171/JEMS/37

U. Grenander, General Pattern Theory, 1993.

M. I. Miller and L. Younes, Group actions, homeomorphisms, and matching: A general framework, International Journal of Computer Vision, vol.41, issue.1/2, pp.61-84, 2001.
DOI : 10.1023/A:1011161132514

J. Glaunès, A. Trouvé, and L. Younes, Modeling planar shape variation via Hamiltonian flows of curves. (preprint: http://cis

P. W. 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
DOI : 10.1016/j.acha.2006.07.004

O. Neill and B. , The fundamental equations of a submersion, Michigan Mathematical Journal, vol.13, pp.459-469, 1966.

H. C. Wang, Discrete nilpotent subgroups of Lie groups, Journal of Differential Geometry, vol.3, issue.3-4, pp.481-492, 1969.
DOI : 10.4310/jdg/1214429069

S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, 1978.
DOI : 10.1090/gsm/034

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C++: The Art of Scientific Computing, 2002.