P. Belhumeur, D. Kriegman, and A. L. Yuille, The generalized bas relief ambiguity, International Journal of Computer Vision, vol.35, issue.1, pp.33-44, 1999.
DOI : 10.1023/A:1008154927611

T. Brox and J. Weickert, Level Set Segmentation With Multiple Regions, IEEE Transactions on Image Processing, vol.15, issue.10, 2006.
DOI : 10.1109/TIP.2006.877481
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.187.8458

C. Chefd-'hotel, D. Tschumperlé, R. Deriche, and O. Faugeras, Regularizing Flows for Constrained Matrix-Valued Images, Journal of Mathematical Imaging and Vision, vol.20, issue.1/2, pp.147-162, 2004.
DOI : 10.1023/B:JMIV.0000011324.14508.fb

H. F. Chen, P. N. Belhumeur, and D. W. Jacobs, In search of illumination invariants, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662)
DOI : 10.1109/CVPR.2000.855827

B. K. Horn, Robot vision, 1986.

J. Keriven, O. Pons, and . Faugeras, Multi-view stereo reconstruction and scene flow estimation with a global image-based matching score. to appear in the international journal of computer vision, Intl. J. of Comp. Vis, 2006.

H. Jin, Variational Methods for Shape Reconstruction in Computer Vision, 2003.

H. Jin, D. Cremers, A. Yezzi, and S. Soatto, Shedding light on stereoscopic segmentation, Proc. IEEE Conf. on Comp. Vision and Pattern Recogn, pp.36-42, 2004.

H. Jin, S. Soatto, and A. J. Yezzi, Multi-view stereo beyond lambert, Proc. IEEE Conf. on Comp. Vision and Pattern Recogn, pp.171-178, 2003.

H. Jin, A. J. Yezzi, and S. Soatto, Region-based segmentation on evolving surfaces with application to 3d shape and radiance estimation, Proc. of the Eur. Conf. on Comp. Vision, pp.114-125, 2004.

H. Jin, A. Yezzi, and S. Soatto, Mumford-Shah on the Move: Region-based Segmentation on Deforming Manifolds with Application to 3-D Reconstruction of Shape and Appearance from Video, 2006.

H. Jin, A. J. Yezzi, Y. Tsai, L. Cheng, and S. Soatto, Estimation of 3D surface shape and smooth radiance from 2D images: A level set approach, Journal of Scientific Computing, vol.19, pp.1-3267, 2003.

C. Kim, A. P. Petrov, H. Choh, Y. Seo, and I. Kweon, Illuminant direction and shape of a bump, Journal of the Optical Society of America A, vol.15, issue.9, pp.2341-2350, 1998.
DOI : 10.1364/JOSAA.15.002341

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

J. Koenderink and A. Van-doorn, Photometric Invariants Related to Solid Shape, Optica Acta: International Journal of Optics, vol.50, issue.7, pp.981-996, 1980.
DOI : 10.1080/713820338

K. Kolev, T. Brox, and D. Cremers, Robust Variational Segmentation of 3D Objects from Multiple Views, Pattern Recognition (Proc. DAGM), pp.688-697, 2006.
DOI : 10.1007/11861898_69

H. W. Kuhn and A. W. Tucker, Nonlinear programming, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, pp.481-492, 1951.

K. N. Kutulakos and S. M. Seitz, A theory of shape by space carving, Proceedings of the Seventh IEEE International Conference on Computer Vision, pp.199-218, 2000.
DOI : 10.1109/ICCV.1999.791235

M. S. Langer and S. W. Zucker, Shape-from-shading on a cloudy day, Journal of the Optical Society of America A, vol.11, issue.2, pp.467-478, 1994.
DOI : 10.1364/JOSAA.11.000467

Y. Ma, S. Soatto, J. Kosecka, and S. Sastry, An invitation to 3D vision, from images to models, 2003.

S. Nayar, K. Ikeuchi, and T. Kanade, Surface reflection: physical and geometrical perspectives, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.7, pp.611-634, 1991.
DOI : 10.1109/34.85654

J. Oliensis and P. Dupuis, A global algorithm for shape from shading, 1993 (4th) International Conference on Computer Vision, pp.692-710, 1993.
DOI : 10.1109/ICCV.1993.378145

S. Osher and J. 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

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

A. Robles-kelly and E. R. Hancock, Estimating the surface radiance function from single images, pp.494-501, 2004.

A. Robles-kelly and E. R. Hancock, Surface radiance correction for shape-from-shading, Pattern Recognition, vol.38, issue.10, pp.1574-1595, 2005.

D. Samaras, Illumination constraints in deformable models for shape and light direction estimation, IEEE Trans. Pattern Anal. Mach. Intell, pp.247-264, 2003.

D. Samaras, D. Metaxas, P. V. Fua, and Y. G. Leclerc, Variable albedo surface reconstruction from stereo and shape from shading, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662), pp.480-487, 2000.
DOI : 10.1109/CVPR.2000.855858
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.120.4564

S. Seitz, B. Curless, J. Diebel, D. Scharstein, and R. Szeliski, A Comparison and Evaluation of Multi-View Stereo Reconstruction Algorithms, 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Volume 1 (CVPR'06), pp.519-526, 2006.
DOI : 10.1109/CVPR.2006.19

A. J. Stewart and M. S. Langer, Toward accurate recovery of shape from shading under diffuse lighting, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.19, issue.9, pp.1020-1025, 1997.
DOI : 10.1109/34.615450

H. Urakawa, Calculus of Variations and Harmonic Maps, 1993.

A. Vedaldi and S. Soatto, Viewpoint invariance for non-planar scenes, 2006.
DOI : 10.1109/iccv.2005.99
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.1397

L. A. Vese and T. F. Chan, A multiphase level set framework for image processing using the Mumford?Shah functional, International Journal of Computer Vision, vol.50, issue.3, pp.271-293, 2002.
DOI : 10.1023/A:1020874308076

A. Yezzi and S. Soatto, Stereoscopic segmentation, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, pp.59-66, 2001.
DOI : 10.1109/ICCV.2001.937499
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.283

A. Yezzi and S. Soatto, Stereoscopic segmentation, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, pp.31-43, 2003.
DOI : 10.1109/ICCV.2001.937499
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.283

A. Yilmaz and M. Shah, Estimation of Arbitrary Albedo and Shape from Shading for Symmetric Objects, Procedings of the British Machine Vision Conference 2002, pp.728-736, 2002.
DOI : 10.5244/C.16.71

A. Yuille, J. M. Coughlan, and S. Konishi, The KGBR viewpoint???lighting ambiguity, Journal of the Optical Society of America A, vol.20, issue.1, pp.24-31, 2003.
DOI : 10.1364/JOSAA.20.000024

A. L. Yuille, D. Snow, R. Epstein, and P. Belhumeur, Determining generative models of objects under varying illumination: shape and albedo from multiple images using svd and integrability, International Journal of Computer Vision, vol.35, issue.3, pp.203-222, 1999.
DOI : 10.1023/A:1008180726317

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

Q. Zheng and R. Chellappa, Estimation of illuminant direction, albedo, and shape from shading, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.7, pp.680-702, 1991.
DOI : 10.1109/34.85658