, Theory of Linear Operators in Hilbert Space, 1981.
, Variational Problems and Partial Differential Equations on Implicit Surfaces, Journal of Computational Physics, vol.174, issue.2, pp.759-780, 2001.
DOI : 10.1006/jcph.2001.6937
, Variational problems and PDE's on implicit surfaces, IEEE, pp.186-193, 2001.
, Numerical Optimization: Theoretical and Practical Aspects, 2002.
DOI : 10.1007/978-3-662-05078-1
, Computing geodesics and minimal surfaces via graph cuts, Proceedings Ninth IEEE International Conference on Computer Vision, pp.26-33, 2003.
DOI : 10.1109/ICCV.2003.1238310
, Geodesic active contours, Proceedings of IEEE International Conference on Computer Vision, pp.61-79, 1997.
DOI : 10.1109/ICCV.1995.466871
, 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
, Designing spatially coherent minimizing flows for variational problems based on active contours, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1, 2005.
DOI : 10.1109/ICCV.2005.69
, A finite element method for the simulation of a Rayleigh-Taylor instability, Lecture Notes in Mathematics, vol.216, pp.145-159, 1979.
DOI : 10.1016/0021-9991(79)90086-X
, Differential Geometry of Curves and Surfaces, 1976.
, Shape reconstruction from 3D and 2D data using PDEbased deformable surfaces, European Conference on Computer Vision, pp.238-251, 2004.
, Variational principles, surface evolution, PDE's, level set methods and the stereo problem, 5th IEEE EMBS International Summer School on Biomedical Imaging, 2002., pp.336-344, 1998.
DOI : 10.1109/SSBI.2002.1233990
, Space-time isosurface evolution for temporally coherent 3D reconstruction, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004., pp.350-355, 2004.
DOI : 10.1109/CVPR.2004.1315053
, Weighted Minimal Hypersurfaces and Their Applications in Computer Vision, European Conference on Computer Vision, pp.366-378, 2004.
DOI : 10.1007/978-3-540-24671-8_29
, Multi-view stereo beyond Lambert, International Conference on Computer Vision and Pattern Recognition, pp.171-178, 2003.
, Snakes: Active contour models, International Journal of Computer Vision, vol.5, issue.6035, pp.321-331, 1987.
DOI : 10.1007/BF00133570
, Multi-camera Scene Reconstruction via Graph Cuts, European Conference on Computer Vision, pp.82-96, 2002.
DOI : 10.1007/3-540-47977-5_6
, What energy functions can be minimized via graph cuts?, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.26, issue.2, pp.147-159, 2004.
DOI : 10.1109/TPAMI.2004.1262177
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.113.1823
, Riemannian geometries on spaces of plane curves, Journal of the European Mathematical Society, 2005.
DOI : 10.4171/JEMS/37
, The Level Set Method and Dynamic Implicit Surfaces, 2002.
, Geometric Level Set Methods in Imaging, Vision and Graphics, 2003.
, 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
, An Analysis of Variational Alignment of Curves in Images, International Conference on Scale Space and PDE Methods in Computer Vision, pp.480-491, 2005.
DOI : 10.1007/11408031_41
, Geodesic active regions and level set methods for motion estimation and tracking, Computer Vision and Image Understanding, vol.97, issue.3, pp.259-282, 2005.
DOI : 10.1016/j.cviu.2003.04.001
, 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
, How to deal with point correspondences and tangential velocities in the level set framework, Proceedings Ninth IEEE International Conference on Computer Vision, pp.894-899, 2003.
DOI : 10.1109/ICCV.2003.1238443
URL : https://hal.archives-ouvertes.fr/inria-00071726
, Real and Complex Analysis, 1966.
, Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Sciences. Cambridge Monograph on Applied and Computational Mathematics, 1999.
, A Geometric Formulation of Gradient Descent for Variational Problems with Moving Surfaces, International Conference on Scale Space and PDE Methods in Computer Vision, pp.419-430, 2005.
DOI : 10.1007/11408031_36
, Sobolev active contours, IEEE Workshop on Variational and Level Set Methods, pp.109-120, 2005.
DOI : 10.1007/s11263-006-0635-2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.121.7504
, Diffeomorphisms groups and pattern matching in image analysis, International Journal of Computer Vision, vol.28, issue.3, pp.213-234, 1998.
DOI : 10.1023/A:1008001603737
, Metrics in the space of curves, 2005.
, Deformotion: Deforming motion, shape average and the joint registration and approximation of structures in images, International Journal of Computer Vision, vol.53, issue.2, pp.153-167, 2003.
DOI : 10.1023/A:1023048024042
, Computable Elastic Distances Between Shapes, SIAM Journal on Applied Mathematics, vol.58, issue.2, pp.565-586, 1998.
DOI : 10.1137/S0036139995287685
, Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method, Computer Vision and Image Understanding, vol.80, issue.3, pp.295-314, 2000.
DOI : 10.1006/cviu.2000.0875