J. P. Berroir, I. Herlin, and I. Cohen, A numerical model for large deformation on meteorological images, International Conference on Analysis and Optimisation of Systems, Images, Wavelets and PDE's, 1996.
DOI : 10.1007/3-540-76076-8_121

URL : https://hal.archives-ouvertes.fr/inria-00532686

G. Borgefors, Distance transformations in arbitrary dimensions, Computer Vision, Graphics, and Image Processing, vol.27, issue.3, pp.321-345, 1984.
DOI : 10.1016/0734-189X(84)90035-5

I. Cohen, N. Ayache, and P. Sulger, Tracking points on deformable objects using curvature information, Proceedings of the Second European Conference on Computer Vision 1992, pp.458-466, 1992.
DOI : 10.1007/3-540-55426-2_51

URL : https://hal.archives-ouvertes.fr/inria-00074965

I. Cohen and I. Herlin, Optical flow and phase portrait methods for environmental satellite image sequences, Proceedings of the Fourth European Conference on Computer Vision, 1996.
DOI : 10.1007/3-540-61123-1_134

URL : https://hal.archives-ouvertes.fr/inria-00626437

D. Laurent, I. Cohen, and . Cohen, Finite element methods for active contour models and balloons for 2-D and 3-D images, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.15, issue.11, pp.1131-1147, 1993.

R. Courant, K. O. Friedrichs, and H. Lewy, On the Partial Difference Equations of Mathematical Physics, IBM Journal of Research and Development, vol.11, issue.2, pp.215-235, 1967.
DOI : 10.1147/rd.112.0215

R. Deriche, S. Bouvin, and O. Faugeras, A level-set approach for stereo, Fisrt Annual Symposium on Enabling Technologies for Law Enforcement and Security -SPIE Conference 2942 : Investigative Image Processing, 1996.
DOI : 10.1117/12.267171

M. P. Carmo, Differential Geometry of Curves and Surfaces, 1976.

C. L. Epstein and M. Gage, The Curve Shortening Flow, Wave motion: Theory, modeling and Computation, 1987.
DOI : 10.1007/978-1-4613-9583-6_2

R. Kimmel, A. Amir, and A. F. Bruckstein, Finding shortest paths on surfaces using level sets propagation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.17, issue.6, pp.635-640, 1995.
DOI : 10.1109/34.387512

R. Malladi, J. A. Sethian, and B. C. 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

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

S. Osher and J. A. 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

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

B. Serra and M. Berthod, Optimal subpixel matching of contour chains and segments, Proceedings of IEEE International Conference on Computer Vision, pp.402-407, 1995.
DOI : 10.1109/ICCV.1995.466911

J. A. Sethian, Level Set Methods: Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision and Materials Sciences, 1996.

J. A. Sethian and J. Strain, Crystal growth and dendritic solidification, Journal of Computational Physics, vol.98, issue.2, pp.231-253, 1992.
DOI : 10.1016/0021-9991(92)90140-T

I. Unité-de-recherche and . Lorraine, Technopôle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique

I. Unité-de-recherche and . Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, p.38330

I. Unité-de-recherche, . Rocquencourt, . Domaine-de-voluceau, and . Rocquencourt, 78153 LE CHESNAY Cedex Unité de recherche INRIA Sophia-Antipolis, 2004.