S. Belongie, J. Malik, and J. Puzicha, Matching shapes, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, 2001.
DOI : 10.1109/ICCV.2001.937552

T. K. Carne, The Geometry of Shape Spaces, Proceedings of the London Mathematical Society, vol.3, issue.2, pp.407-432, 1990.
DOI : 10.1112/plms/s3-61.2.407

T. Chan and L. Vese, Active contours without edges, IEEE Transactions on Image Processing, vol.10, issue.2, pp.266-277, 2001.
DOI : 10.1109/83.902291

T. Chan and W. Zhu, Level Set Based Shape Prior Segmentation, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05), pp.20-26, 2005.
DOI : 10.1109/CVPR.2005.212

G. Christensen, R. Rabbitt, and M. Miller, Deformable templates using large deformation kinematics, IEEE Transactions on Image Processing, vol.5, issue.10, pp.1435-1447, 1996.
DOI : 10.1109/83.536892

H. Chui and A. Rangarajan, A new point matching algorithm for non-rigid registration, Proc. of the IEEE Intl. Conf. on Comp. Vis. and Patt. Recog, pp.44-51, 2000.
DOI : 10.1016/S1077-3142(03)00009-2

D. Cremers, T. Kohlberger, and C. Schnörr, Shape statistics in kernel space for variational image segmentation, Special Issue on Kernel and Subspace Methods in Computer Vision, pp.1929-1943, 2003.
DOI : 10.1016/S0031-3203(03)00056-6

D. Cremers, S. Osher, and S. Soatto, Kernel Density Estimation and Intrinsic Alignment for Knowledge-Driven Segmentation: Teaching Level Sets to Walk, Proc. of Pattern Recognition, pp.36-40, 2004.
DOI : 10.1007/978-3-540-28649-3_5

M. Fischler and R. Elschlager, The Representation and Matching of Pictorial Structures, IEEE Transactions on Computers, vol.22, issue.1, pp.67-92, 1973.
DOI : 10.1109/T-C.1973.223602

P. Giblin, Graphs, Surfaces and Homology, 1977.
DOI : 10.1017/CBO9780511779534

L. Gorelick, M. Galun, E. Sharon, R. Basri, and A. Brandt, Shape Representation and Classification Using the Poisson Equation, Proc. of CVPR'04, pp.61-67, 2004.
DOI : 10.1109/TPAMI.2006.253

U. Grenander, General Pattern Theory, 1993.

G. Hermosillo and C. , Chefd'hotel, and O. Faugeras. Variational methods for multimodal image matching, International Journal of Computer Vision, vol.50, issue.3, pp.329-343, 2002.
DOI : 10.1023/A:1020830525823

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

B. Kimia, A. R. Tannenbaum, and S. W. Zucker, Shapes, shocks, and deformations I: The components of two-dimensional shape and the reaction-diffusion space, International Journal of Computer Vision, vol.1, issue.1, pp.189-224, 1995.
DOI : 10.1007/BF01451741

M. Lades, C. Borbruggen, J. Buhmann, J. Lange, C. Der-malsburg et al., Distortion invariant object recognition in the dynamic link architecture, IEEE Transactions on Computers, vol.42, issue.3, pp.300-311, 1993.
DOI : 10.1109/12.210173

H. Le and D. G. Kendall, The riemannian structure of euclidean shape spaces: a novel environment for statistics. The Annals of Statistics, pp.1225-1271, 1993.

M. Leventon, E. Grimson, and O. Faugeras, Statistical Shape Influence in Geodesic Active Contours, Proc. CVPR, pp.316-323, 2000.

M. Leventon, E. Grimson, O. Faugeras, S. Wells, and R. Kikinis, Knowledge-Based Segmentation of Medical Images, Geometric Level Set Methods in IVG, 2003.
DOI : 10.1007/0-387-21810-6_21

T. Lindeberg, Scale-space for discrete signals, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.12, issue.3, pp.234-254, 1990.
DOI : 10.1109/34.49051

R. Malladi, J. Sethian, and B. Vemuri, Shape modeling with front propagation: a level set approach, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.17, issue.2, pp.158-175, 1995.
DOI : 10.1109/34.368173

S. Manay, B. Hong, A. Yezzi, and S. Soatto, Integral Invariant Signatures, ECCV'04, volume LNCS 2034, pp.87-99, 2004.
DOI : 10.1007/978-3-540-24673-2_8

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

G. Matheron, Random Sets and Integral Geometry, 1975.

M. Miller and L. Younes, Group action, diffeomorphism and matching: a general framework, Proc. of SCTV, 1999.

D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems, Communications on Pure and Applied Mathematics, vol.3, issue.5, pp.577-684, 1989.
DOI : 10.1002/cpa.3160420503

S. Osher and J. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988.
DOI : 10.1016/0021-9991(88)90002-2

N. Paragios and R. Deriche, Geodesic active contours and level sets for the detection and tracking of moving objects, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.22, issue.3, pp.266-280, 2000.
DOI : 10.1109/34.841758

N. Paragios, M. Rousson, and V. Ramesh, Matching Distance Functions: A Shape-to-Area Variational Approach for Global-to-Local Registration, Proc. ECCV'02, pp.775-789, 2002.
DOI : 10.1007/3-540-47967-8_52

N. Paragios, M. Rousson, and V. Ramesh, Non-rigid registration using distance functions, Computer Vision and Image Understanding, vol.89, issue.2-3, pp.142-165, 2003.
DOI : 10.1016/S1077-3142(03)00010-9

A. Pitiot, H. Delingette, and P. Thompson, Learning Object Correspondences with the Observed Transport Shape Measure, Prof. IPMI 2003, 2003.
DOI : 10.1007/978-3-540-45087-0_3
URL : https://hal.archives-ouvertes.fr/inria-00615942

T. Riklin-raviv, N. Kiryati, and N. Sochen, Unlevel-Sets: Geometry and Prior-Based Segmentation, ECCV'04, volume LNCS 2034, pp.50-61, 2004.
DOI : 10.1007/978-3-540-24673-2_5

T. Riklin-raviv, N. Kiryati, and N. Sochen, Prior-based segmentation by projective registration and level sets, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1, pp.204-211, 2005.
DOI : 10.1109/ICCV.2005.192

M. Rousson and N. Paragios, Shape Priors for Level Set Representations, Proc. of ECCV'02, pp.78-92, 2002.
DOI : 10.1007/3-540-47967-8_6

J. Shi and C. Tomasi, Good features to track, Proceedings of CVPR'94, pp.593-600, 1975.

D. W. Thompson, On Growth and Form, 1917.

A. Tsai, A. Yezzi, and A. Willsky, Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification, IEEE Transactions on Image Processing, vol.10, issue.8, pp.1169-1186, 2001.
DOI : 10.1109/83.935033

R. C. Veltkamp and M. Hagedoorn, State of the Art in Shape Matching, 1999.
DOI : 10.1007/978-1-4471-3702-3_4

A. Yezzi and S. Soatto, Deformotion: deforming motion, shape average and the joint segmentation and registration of images, International Journal of Computer Vision, vol.53, issue.2, pp.153-167, 2003.
DOI : 10.1023/A:1023048024042

S. Zhu and A. Yuille, FORMS: a flexible object recognition and modelling system, Proceedings of IEEE International Conference on Computer Vision, pp.187-212, 1996.
DOI : 10.1109/ICCV.1995.466903