M. Kass, A. Witkin, and D. Terzopoulos, Snakes: Active contour models, International Journal of Computer Vision, vol.5, issue.6035, pp.321-331, 1988.
DOI : 10.1007/BF00133570

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, 1988.
DOI : 10.1016/0021-9991(88)90002-2

S. Osher and R. Fedkiw, Level set methods and dynamic implicit surfaces, 2002.

G. Aubert, M. Barlaud, O. Faugeras, and S. Jehan-besson, Image Segmentation Using Active Contours: Calculus of Variations or Shape Gradients?, SIAM Journal on Applied Mathematics, vol.63, issue.6, 2003.
DOI : 10.1137/S0036139902408928
URL : https://hal.archives-ouvertes.fr/inria-00072105

H. Zhao, T. Chan, B. Merriman, and S. Osher, A Variational Level Set Approach to Multiphase Motion, Journal of Computational Physics, vol.127, issue.1, pp.179-195, 1996.
DOI : 10.1006/jcph.1996.0167

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
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.1828

M. Rousson and N. Paragios, Shape Priors for Level Set Representations, European Conference on Computer Vision, 2002.
DOI : 10.1007/3-540-47967-8_6
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.4415

D. Cremers and S. Soatto, A pseudo-distance for shape priors in level set segmentation, 2003.

J. Gomes and O. Faugeras, Reconciling Distance Functions and Level Sets, Journal of Visual Communication and Image Representation, vol.11, issue.2, pp.209-223, 2000.
DOI : 10.1006/jvci.1999.0439
URL : https://hal.archives-ouvertes.fr/inria-00073006

D. Adalsteinsson and J. Sethian, The Fast Construction of Extension Velocities in Level Set Methods, Journal of Computational Physics, vol.148, issue.1, pp.2-22, 1999.
DOI : 10.1006/jcph.1998.6090

J. Solem and N. Overgaard, A Geometric Formulation of Gradient Descent for Variational Problems with Moving Surfaces, 2005.
DOI : 10.1007/11408031_36

D. Peng, B. Merriman, S. Osher, H. Zhao, and M. Kang, A PDE-Based Fast Local Level Set Method, Journal of Computational Physics, vol.155, issue.2, pp.410-438, 1999.
DOI : 10.1006/jcph.1999.6345

C. Li, C. Xu, C. Gui, and M. Fox, Level set evolution without re-initialization: A new variational formulation, In: CVPR, pp.430-436, 2005.

G. Charpiat, P. Maurel, J. Pons, R. Keriven, and O. Faugeras, Generalized Gradients: Priors on Minimization Flows, International Journal of Computer Vision, vol.80, issue.3, pp.325-344, 2007.
DOI : 10.1007/s11263-006-9966-2
URL : https://hal.archives-ouvertes.fr/hal-01117529

G. Sundaramoorthi, A. Yezzi, and A. Mennucci, Sobolev Active Contours, International Journal of Computer Vision, vol.58, issue.2, pp.345-366, 2007.
DOI : 10.1007/s11263-006-0635-2

V. Caselles, R. Kimmel, and G. Sapiro, Geodesic active contours, Proceedings of IEEE International Conference on Computer Vision, 1997.
DOI : 10.1109/ICCV.1995.466871
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.21.2196

J. Kim, M. Cetin, and A. Willsky, Nonparametric shape priors for active contour-based image segmentation, Signal Processing, vol.87, issue.12, pp.3021-3044, 2007.
DOI : 10.1016/j.sigpro.2007.05.026

D. Cremers, N. Sochen, and C. Schnorr, Towards Recognition-Based Variational Segmentation Using Shape Priors and Dynamic Labeling, In: SSVM, 2003.
DOI : 10.1007/3-540-44935-3_27
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.854

G. Charpiat, O. Faugeras, and R. Keriven, Approximations of Shape Metrics and Application to Shape Warping and Empirical Shape Statistics, Foundations of Computational Mathematics, vol.5, issue.1, pp.1-58, 2005.
DOI : 10.1007/s10208-003-0094-x
URL : https://hal.archives-ouvertes.fr/inria-00071766

L. Gui, J. Thiran, and N. Paragios, Cooperative Object Segmentation and Behavior Inference in??Image Sequences, International Journal of Computer Vision, vol.127, issue.3, pp.146-162, 2009.
DOI : 10.1007/s11263-008-0146-4

P. Michor and D. Mumford, Riemannian geometries on spaces of plane curves. Arxiv preprint math, p.312384, 2003.

A. Yezzi and A. Mennucci, Conformal metrics and true "gradient flows" for curves, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1, 2005.
DOI : 10.1109/ICCV.2005.60