D. Adalsteinsson and J. A. 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

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, pp.2128-2154, 2003.
DOI : 10.1137/S0036139902408928

URL : https://hal.archives-ouvertes.fr/inria-00072105

G. Aubert, R. Deriche, and P. Kornprobst, Computing Optical Flow via Variational Techniques, SIAM Journal on Applied Mathematics, vol.60, issue.1, pp.156-182, 1999.
DOI : 10.1137/S0036139998340170

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.736

G. Barles, Remarks on a flame propagation model, 1985.
URL : https://hal.archives-ouvertes.fr/inria-00076090

L. Blanc-féraud, M. Barlaud, and T. Gaidon, Motion estimation involving discontinuities in multiresolution scheme, Optical Engineering, vol.32, issue.7, pp.1475-1482, 1993.
DOI : 10.1117/12.138647

P. Brigger, J. Hoeg, and M. Unser, B-spline snakes: a flexible tool for parametric contour detection, IEEE Transactions on Image Processing, vol.9, issue.9, pp.1484-1496, 2000.
DOI : 10.1109/83.862624

V. Caselles, F. Catté, T. Coll, and F. Dibos, Geometric models for active contours, Proceedings., International Conference on Image Processing, pp.1-31, 1993.
DOI : 10.1109/ICIP.1995.537567

V. Caselles, R. Kimmel, and G. Sapiro, Geodesic active contours, Proceedings of IEEE International Conference on Computer Vision, pp.61-79, 1997.
DOI : 10.1109/ICCV.1995.466871

J. G. Choi and S. Kim, Multi-stage segmentation of optical flow field, Signal Processing, vol.54, issue.2, pp.109-118, 1996.
DOI : 10.1016/S0165-1684(96)00100-4

D. L. Chopp, Computing Minimal Surfaces via Level Set Curvature Flow, Journal of Computational Physics, vol.106, issue.1, pp.77-91, 1993.
DOI : 10.1006/jcph.1993.1092

J. Condell, B. Scotney, and P. Morrow, Adaptive Grid Refinement Procedures for Efficient Optical Flow Computation, International Journal of Computer Vision, vol.61, issue.1, pp.31-54, 2005.
DOI : 10.1023/B:VISI.0000042933.07192.26

D. Cremers and C. Schnörr, Motion Competition: Variational Integration of Motion Segmentation and Shape Regularization, Pattern Recognition, pp.472-480, 2002.
DOI : 10.1007/3-540-45783-6_57

D. Cremers and C. Soatto, Motion Competition: A Variational Approach to Piecewise Parametric Motion Segmentation, International Journal of Computer Vision, vol.18, issue.9, pp.249-265, 2005.
DOI : 10.1007/s11263-005-4882-4

M. C. Delfour and J. Zolesio, Shapes and geometries: Analysis, differential calculus and optimization . Advances in Design and control, Society for Industrial and Applied Mathematics, 2001.
DOI : 10.1137/1.9780898719826

A. Giachetti and V. Torre, Refinement of optical flow estimation and detection of motion edges, European Conference on Computer Vision, pp.151-160, 1996.
DOI : 10.1007/3-540-61123-1_135

J. Gomes and O. D. 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

M. Hintermüller and W. Ring, A Second Order Shape Optimization Approach for Image Segmentation, SIAM Journal on Applied Mathematics, vol.64, issue.2, pp.442-467185, 1981.
DOI : 10.1137/S0036139902403901

M. Jacob, T. Blu, and M. Unser, A unifying approach and interface for spline-based snakes, SPIE International Symposium on Medical Imaging: Image Processing, pp.340-347, 2001.

S. Jehan-besson, M. Barlaud, and G. Aubert, Dream 2 s: Deformable regions driven by an Eulerian accurate minimization method for image and video segmentation, International Journal of Computer Vision, vol.53, issue.1, pp.45-70, 2003.
DOI : 10.1023/A:1023031708305

URL : https://hal.archives-ouvertes.fr/hal-00664596

M. Kass, A. Witkin, and D. Terzopoulos, Snakes: Active contour models, International Journal of Computer Vision, vol.5, issue.6035, pp.321-332, 1988.
DOI : 10.1007/BF00133570

B. Lucas and T. Kanade, An iterative image registration technique with an application to stereo vision, International Joint Conference on Artificial Intelligence, pp.674-679, 1981.

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.577-685, 1989.
DOI : 10.1002/cpa.3160420503

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

F. Precioso, M. Barlaud, T. Blu, and M. Unser, Smoothing B-spline active contour for fast and robust image and video segmentation, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429), pp.137-140, 2003.
DOI : 10.1109/ICIP.2003.1246917

R. Ronfard, Region-based strategies for active contour models, International Journal of Computer Vision, vol.23, issue.3, pp.229-251, 1994.
DOI : 10.1007/BF01427153

URL : https://hal.archives-ouvertes.fr/inria-00544609

T. Roy, M. Barlaud, E. Debreuve, and G. Aubert, Vector field segmentation using active contours: Regions of vectors with the same direction, Workshop on Variational, Geometric and Level Set Methods in Computer Vision, 2003.

O. Sanchez and F. Dibos, Displacement Following of Hidden Objects in a Video Sequence, International Journal of Computer Vision, vol.57, issue.2, pp.91-105, 2004.
DOI : 10.1023/B:VISI.0000013084.09631.d8

G. Sapiro, Vector (self) snakes: a geometric framework for color, texture, and multiscale image segmentation, Proceedings of 3rd IEEE International Conference on Image Processing, pp.817-820, 1996.
DOI : 10.1109/ICIP.1996.559624

C. Schnörr, Computation of discontinuous optical flow by domain decomposition and shape optimization, International Journal of Computer Vision, vol.10, issue.4, pp.153-165, 1992.
DOI : 10.1007/BF00127172

M. Unser, A. Aldroubi, and M. Eden, B-spline signal processing. I. Theory, IEEE Transactions on Signal Processing, vol.41, issue.2, pp.821-833, 1993.
DOI : 10.1109/78.193220

J. Y. Wang and E. H. Adelson, Spatio-temporal segmentation of video data Variational optic flow computation with a spatio-temporal smoothness constraint, SPIE on Image and Video Processing II, pp.120-131245, 1994.

S. F. Wu and J. Kittler, A Gradient-Based Method for General Motion Estimation and Segmentation, Journal of Visual Communication and Image Representation, vol.4, issue.1, pp.25-38, 1993.
DOI : 10.1006/jvci.1993.1003

S. Zhu and K. Ma, Correction to "A new diamond search algorithm for fast block-matching motion estimation", IEEE Transactions on Image Processing, vol.9, issue.3, pp.287-290, 2000.
DOI : 10.1109/TIP.2000.826791