M. Bardi and I. Capuzzo-dolcetta, Optimal control and viscosity solutions of Hamilton-Jacobi- Bellman equations, 1997.
DOI : 10.1007/978-0-8176-4755-1

G. Barles, Solutions de Viscosité des Equations de Hamilton?Jacobi, 1994.

G. Barles and P. E. Souganidis, 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

M. Bell and W. T. Freeman, Learning local evidence for shading and reflectance, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, pp.670-677, 2001.
DOI : 10.1109/ICCV.2001.937585

M. S. Brown and W. B. Seales, Document restoration using 3D shape, ICCV'01, 2001.

A. M. Bruckstein, On shape fron shading. Computer Vision Graphics Image Process, pp.139-154, 1988.

F. Camilli and M. Falcone, An approximation scheme for the maximal solution of the shapefrom-shading model, ICIP'96, pp.49-52, 1996.

F. Camilli and A. Siconolfi, 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

F. Camilli and A. Siconolfi, Nonconvex degenerate Hamilton-Jacobi equations, Mathematische Zeitschrift, vol.242, issue.1, pp.1-21, 2002.
DOI : 10.1007/s002090100302

S. I. Cho and H. Saito, A Divide-and-Conquer Strategy in Shape from Shading problem, CVRP'97, 1997.

K. N. Choi, P. Worthington, and E. R. Hancock, Facial Pose using Shape-from-Shading, Procedings of the British Machine Vision Conference 1999, pp.402-411, 1999.
DOI : 10.5244/C.13.40

F. Courteille, A. Crouzil, J. Durou, and P. Gurdjos, Towards shape from shading under realistic photographic conditions IAPR, ICPR'04, pp.277-280, 2004.

B. L. Craine, E. R. Craine, C. J. O-'toole, and Q. Ji, Digital imaging colposcopy: corrected area measurements using shape-from-shading, IEEE Transactions on Medical Imaging, vol.17, issue.6, pp.1003-1010, 1998.
DOI : 10.1109/42.746633

P. Danielsson, Euclidean distance mapping, Computer Graphics and Image Processing, vol.14, issue.3, pp.227-248, 1980.
DOI : 10.1016/0146-664X(80)90054-4

P. Dupuis and J. Oliensis, Direct method for reconstructing shape from shading, Proceedings 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp.116-128, 1991.
DOI : 10.1109/CVPR.1992.223151

P. Dupuis and J. Oliensis, 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

P. Dupuis and J. Oliensis, Shape from shading: Provably convergent algorithms and uniqueness results, ECCV'94, pp.256-268, 1994.
DOI : 10.1007/BFb0028359

J. Durou, M. Falcone, and M. Sagona, A survey of numerical methods for shape from shading Research report Durou and H. Ma??treMa??tre. On convergence in the methods of Strat and Smith for shape from shading, IJCV, issue.3, pp.17273-289, 1996.

M. Falcone and M. Sagona, An algorithm for the global solution of the shape-from-shading model, ICIAP LNCS, vol.1, pp.596-603, 1310.
DOI : 10.1007/3-540-63507-6_250

M. Falcone, M. Sagona, and A. Seghini, A scheme for the shape-from-shading model with ???black shadows???, Proceedings of ENUMATH 2001, 2001.
DOI : 10.1007/978-88-470-2089-4_47

C. H. Forster and C. L. Tozzi, Towards 3d reconstruction of endoscope images using shape from shading, 13th Brazilian Symposium on Computer Graphics and Image Processing, 2000.

G. Hermosillo and O. Faugeras, Dense image matching with global and local statistical criteria: a variational approach, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001, 2001.
DOI : 10.1109/CVPR.2001.990458

B. K. Horn, Obtaining shape from shading information The Psychology of Computer Vision, 1975.

H. Ishii and M. Ramaswamy, 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

R. Kimmel and A. M. Bruckstein, Global shapefrom-shading, CVGIP: Image Understanding, pp.360-369, 1995.

R. Kimmel and A. M. Bruckstein, Tracking Level Sets by Level Sets: A Method for Solving the Shape from Shading Problem, Computer Vision and Image Understanding, vol.62, issue.1, pp.47-58, 1995.
DOI : 10.1006/cviu.1995.1040

R. Kimmel and J. A. Sethian, Optimal algorithm for shape from shading and path planning, Journal of Mathematical Imaging and Vision, vol.14, issue.3, pp.237-244, 2001.
DOI : 10.1023/A:1011234012449

R. Klette, R. Kozera, and K. Schlüns, Shape from shading and photometric stereo methods, 1998.

C. K. Kwoh, G. N. Khan, and D. F. Gillies, Automated endoscope navigation and advisory system from medical imaging, Proceedings of SPIE'99, 1999.

P. Lions, Generalized Solutions of Hamilton? Jacobi Equations. Number 69 in Research Notes in Mathematics, 1982.

P. Lions, E. Rouy, and A. Tourin, Shape-from-shading, viscosity solutions and edges, Numerische Mathematik, vol.24, issue.No. 2, pp.323-353, 1993.
DOI : 10.1007/BF01388692

C. S. Mccamy, H. Marcus, and J. G. Davidson, A colorrendition chart, J. App. Photog. Eng, vol.2, pp.95-99, 1976.

G. W. Meyer, Wavelength selection for synthetic image generation, Computer Vision, Graphics, and Image Processing, vol.41, issue.1, pp.57-79, 1988.
DOI : 10.1016/0734-189X(88)90117-X

T. Okatani and K. Deguchi, Shape Reconstruction from an Endoscope Image by Shape from Shading Technique for a Point Light Source at the Projection Center, Computer Vision and Image Understanding, vol.66, issue.2, pp.119-131, 1997.
DOI : 10.1006/cviu.1997.0613

J. Oliensis, 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

J. Oliensis, Uniqueness in shape from shading, International Journal of Computer Vision, vol.15, issue.1, pp.75-104, 1991.
DOI : 10.1007/BF00128151

J. Oliensis and P. Dupuis, A global algorithm for shape from shading, 1993 (4th) International Conference on Computer Vision, pp.692-701, 1993.
DOI : 10.1109/ICCV.1993.378145

E. Prados, Une approche du Shape from Shading " par solutions de viscosité, INRIA, 2001.

E. Prados, Application of the theory of the viscosity solutions to the Shape From Shading problem, 2004.
URL : https://hal.archives-ouvertes.fr/tel-00007916

E. Prados, F. Camilli, and O. Faugeras, A viscosity method for Shape-From-Shading without boundary data, 2004.
URL : https://hal.archives-ouvertes.fr/inria-00070704

E. Prados, F. Camilli, and O. Faugeras, A viscosity solution method for Shape-From-Shading without image boundary data, ESAIM: Mathematical Modelling and Numerical Analysis, vol.40, issue.2, 2005.
DOI : 10.1051/m2an:2006018

URL : https://hal.archives-ouvertes.fr/inria-00377394

E. Prados and O. Faugeras, A mathematical and algorithmic study of the lambertian SFS problem for orthographic and pinhole cameras, 2003.
URL : https://hal.archives-ouvertes.fr/inria-00071579

E. Prados and O. Faugeras, "Perspective shape from shading" and viscosity solutions, Proceedings Ninth IEEE International Conference on Computer Vision, pp.826-831, 2003.
DOI : 10.1109/ICCV.2003.1238433

URL : https://hal.archives-ouvertes.fr/inria-00394240

E. Prados and O. Faugeras, Unifying Approaches and Removing Unrealistic Assumptions in Shape from Shading: Mathematics Can Help, Proceedings of ECCV'04, pp.141-154
DOI : 10.1007/978-3-540-24673-2_12

URL : https://hal.archives-ouvertes.fr/inria-00394234

. Springer, Prados and O. Faugeras. A generic and provably convergent shape-from-shading method for orthographic and pinhole cameras, 2004.

E. Prados, O. Faugeras, and E. Rouy, 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

E. Rouy and A. Tourin, 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

W. A. Smith and E. R. Hancock, Face Recognition Using Shape-from-shading, Procedings of the British Machine Vision Conference 2002, pp.597-606, 2002.
DOI : 10.5244/C.16.58

Q. Y. Smithwick and E. J. Seibel, Depth enhancement using a scanning fiber optical endoscope, Proceedings of SPIE BiOS, 2002.

H. M. Soner, Optimal Control with State-Space Constraint I, SIAM Journal on Control and Optimization, vol.24, issue.3, pp.1110-1122, 1986.
DOI : 10.1137/0324032

L. E. Sucar, D. F. Gillies, and H. Rashid, Integrating shape from shading in a gradient histogram and its application to endoscope navigation, Proceedings of 5th International Conference on Artificial Intelligence (ICAI-V), 1992.

A. Tankus, N. Sochen, and Y. Yeshurun, A new perspective [on] shape-from-shading, Proceedings Ninth IEEE International Conference on Computer Vision, pp.862-869, 2003.
DOI : 10.1109/ICCV.2003.1238439

A. Tankus, N. Sochen, and Y. Yeshurun, Reconstruction of medical images by perspective Shapefrom-Shading, ICPR'04, 2004.

D. Tschumperlé and R. Deriche, Vector-valued image regularization with PDE's: a common framework for different applications, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings., 2003.
DOI : 10.1109/CVPR.2003.1211415

T. Wada, H. Ukida, and T. Matsuyama, Shape from shading with interreflections under proximal light source-3D shape reconstruction of unfolded book surface from a scanner image, Proceedings of IEEE International Conference on Computer Vision, 1995.
DOI : 10.1109/ICCV.1995.466805

S. M. Yamany and A. A. Farag, A system for human jaw modeling using intra-oral images, Proceedings of the 20th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Vol.20 Biomedical Engineering Towards the Year 2000 and Beyond (Cat. No.98CH36286), pp.563-566, 1998.
DOI : 10.1109/IEMBS.1998.745457

S. Y. Yeung, H. T. Tsui, and A. Yim, Global Shape from Shading for an Endoscope Image, Proceedings of Medical Image Computing and Computer-Assisted Intervention (MICCAI), volume 1679 of Lecture Notes in Computer Science, pp.318-327, 1999.
DOI : 10.1007/10704282_35

R. Zhang, P. Tsai, J. Cryer, and M. Shah, 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

W. Zhao and R. Chellappa, Illuminationinsensitive face recognition using symmetric Shape-from-Shading, CVPR'00, pp.1286-1293, 2000.