Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations, 1997. ,
DOI : 10.1007/978-0-8176-4755-1
Solutions de Viscosité des Equations de Hamilton?Jacobi, 1994. ,
Convergence of approximation schemes for fully nonlinear second order equations, 29th IEEE Conference on Decision and Control, pp.271-283, 1991. ,
DOI : 10.1109/CDC.1990.204046
Shading without shape, Quarterly of Applied Mathematics, vol.50, issue.1, pp.27-38, 1992. ,
DOI : 10.1090/qam/1146621
The eikonal equation: some results applicable to computer vision, Journal of Mathematical Physics, vol.23, issue.5, pp.890-896, 1982. ,
DOI : 10.1063/1.525441
A characterization of the value function for a class of degenerate control problems, In " numerical methods for viscosity solutions and applications " publié par M. Falcone et C. Makridakis, chapitre 3, World Scientific, pp.47-58, 2001. ,
An approximation scheme for the maximal solution of the shape-from-shading model, Proceedings of 3rd IEEE International Conference on Image Processing, pp.49-52, 1996. ,
DOI : 10.1109/ICIP.1996.559430
Numerical Approximation of the Maximal Solutions for a Class of Degenerate Hamilton-Jacobi Equations, SIAM Journal on Numerical Analysis, vol.38, issue.5, pp.1540-1560, 2000. ,
DOI : 10.1137/S003614299834798X
Maximal subsolutions for a class of degenerate Hamilton-Jacobi problems, Indiana University Mathematics Journal, vol.48, issue.3, pp.1111-1132, 1999. ,
DOI : 10.1512/iumj.1999.48.1678
user's guide to viscosity solutions\\ of second order\\ partial
differential equations, Bulletin of the American Mathematical Society, vol.27, issue.1, pp.1-67, 1992. ,
DOI : 10.1090/S0273-0979-1992-00266-5
Viscosity solutions of Hamilton-Jacobi equations, Transactions of the American Mathematical Society, vol.277, issue.1, pp.1-43, 1983. ,
DOI : 10.1090/S0002-9947-1983-0690039-8
An Optimal Control Formulation and Related Numerical Methods for a Problem in Shape Reconstruction, The Annals of Applied Probability, vol.4, issue.2, pp.287-346, 1994. ,
DOI : 10.1214/aoap/1177005063
On convergence in the methods of Strat and of Smith for Shape from Shading, International Journal of Computer Vision, vol.53, issue.2, pp.273-289, 1996. ,
DOI : 10.1007/BF00128234
URL : https://hal.archives-ouvertes.fr/hal-00556187
Ambiguous shape from shading with critical points, Journal of Mathematical Imaging and Vision, vol.12, issue.2, pp.99-108, 2000. ,
DOI : 10.1023/A:1008361021281
An algorithm for the global solution of the shape-from-shading model, International Conference on Image Analysis and Processing, pp.596-603, 1310. ,
DOI : 10.1007/3-540-63507-6_250
Shepe from Shading with perspective projection and camera calibration, Computers & Graphics, vol.20, issue.3, pp.351-364, 1996. ,
DOI : 10.1016/0097-8493(96)00004-0
Brooks, éditeurs. Shape from Shading, 1989. ,
Obtaining shape from shading information The Psychology of Computer Vision, 1975. ,
Impossible shaded images, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.15, issue.2, pp.166-170, 1993. ,
DOI : 10.1109/34.192489
Hamilton-Jacobi equations with discontinuous hamiltonians on arbitrary open subsets, Bull. Fac. Sci. Engrg. Chuo Univ, vol.28, pp.33-77, 1985. ,
Uniqueness results for a class of hamilton-jacobi equations with singular coefficients, Communications in Partial Differential Equations, vol.20, issue.11-12, pp.2187-2213, 1995. ,
DOI : 10.1080/03605309508821168
Numerical shape-from-shading for discontinuous photographic images, International Journal of Computer Vision, vol.44, issue.3, pp.163-173, 2001. ,
DOI : 10.1023/A:1012235914303
An overview of the shape from shading problem. Machine Graphics and Vision, pp.291-312, 1998. ,
Shape from shading with perspective projection, CVGIP: Image Understanding, vol.59, issue.2, pp.202-212, 1994. ,
DOI : 10.1006/cviu.1994.1015
Generalized Solutions of Hamilton?Jacobi Equations. Numéro 69 de, Research Notes in Mathematics, 1982. ,
Shape-from-shading, viscosity solutions and edges, Numerische Mathematik, vol.24, issue.No. 2, pp.323-353, 1993. ,
DOI : 10.1007/BF01388692
URL : http://www.digizeitschriften.de/download/PPN362160546_0064/PPN362160546_0064___log2.pdf
Shape from shading as a partially well-constrained problem, CVGIP: Image Understanding, vol.54, issue.2, pp.163-183, 1991. ,
DOI : 10.1016/1049-9660(91)90061-S
Extending viscosity solutions to Eikonal equations with discontinuous spatial dependence, Nonlinear Analysis: Theory, Methods & Applications, vol.42, issue.4, pp.709-736, 2000. ,
DOI : 10.1016/S0362-546X(99)00164-9
Local and semi-local shape from shading for a single perspective image of a smooth object, Computer Vision, Graphics, and Image Processing, pp.346-366, 1989. ,
A shape from shading analysis for a single perspective image of a polyhedron, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.11, issue.6, pp.545-554, 1989. ,
DOI : 10.1109/34.24790
A mathematical and algorithmic study of the lambertian SFS problem for orthographic and pinhole cameras, 2003. ,
URL : https://hal.archives-ouvertes.fr/inria-00071579
Shape from Shading and Viscosity Solutions, 2002. ,
DOI : 10.1007/3-540-47967-8_53
URL : https://hal.archives-ouvertes.fr/inria-00394240
Shape from Shading and Viscosity Solutions, Proceedings of ECCV'02, pp.790-804, 2002. ,
DOI : 10.1007/3-540-47967-8_53
URL : https://hal.archives-ouvertes.fr/inria-00394240
A Viscosity Solutions Approach to Shape-From-Shading, SIAM Journal on Numerical Analysis, vol.29, issue.3, pp.867-884, 1992. ,
DOI : 10.1137/0729053
Optimal control with discontinuous running cost: Eikonal equation and shape-from-shading, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), pp.79-84, 2000. ,
DOI : 10.1109/CDC.2000.912736
A perspective 3D formalism for shape from shading, Proceedings of DARPA Image Understanding Workshop, pp.1393-1402, 1997. ,
Shape-from-shading: a survey, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.21, issue.8, pp.690-706, 1999. ,
DOI : 10.1109/34.784284