On variational approach to photometric stereo
Annales de l'I.H.P. Analyse non linéaire, Tome 10 (1993) no. 4, pp. 363-375. 
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     author = {Chabrowski, Jan and Kewei, Zhang},
     title = {On variational approach to photometric stereo},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {363--375},
     publisher = {Gauthier-Villars},
     volume = {10},
     number = {4},
     year = {1993},
     mrnumber = {1246457},
     zbl = {0821.49027},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1993__10_4_363_0/}
}
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Chabrowski, Jan; Kewei, Zhang. On variational approach to photometric stereo. Annales de l'I.H.P. Analyse non linéaire, Tome 10 (1993) no. 4, pp. 363-375. http://www.numdam.org/item/AIHPC_1993__10_4_363_0/

[1] R.A. Adams, Sobolev Spaces, Academic Press, New York, 1975. | MR | Zbl

[2] J.M. Ball, A Version of the Fundamental Theorem for Young Measures, Lecture Notes in Physics, Springer Verlag, No. 344, pp. 207-215. | MR | Zbl

[3] H. Berliochi and J.M. Lasry, Intégrandes normales et mesures paramétrées en calcul des variations, Bull. Soc. Math. France, Vol. 101, 1973, pp. 129-184. | Numdam | MR | Zbl

[4] M.J. Brooks, W. Chojnacki and R. Kozera, Shading Without Shape, Quaterly of Appl. Math. (in press). | Zbl

[5] M.J. Brooks, W. Chojnacki and R. Kozera, Circulary - Symmetric Eikonal Equations and Nonuniqueness in Computer Vision, J. Math. Analysis and Appl. (in press). | Zbl

[6] A.R. Bruss, The Eikonal Equation: Some Results Applicable to Computer Vision, J. Math. Phys., Vol. 23, (5), 1982, pp. 890-896. | MR | Zbl

[7] J. Chabrowski and Kewei Zhang, On Shape from Shading Problem, Department of Mathematics, the University of Queensland, preprint. | MR

[8] B. Dacorogna, Direct Methods in the Caluculus of Variations, Applied Mathematical Sciences, Vol. 78, Springer Verlag, Berlin Heidelberg, 1989. | MR | Zbl

[9] B.K.P. Horn, Robot Vision, M.I.T. Press, Cambridge M.A., 1986.

[10] B.K.P. Horn and K. Ikeuchi, The Mechanical Manipulation of Randomly Oriented Parts, Scientific American, Vol. 251, (2), 1984, pp. 100-111.

[11] R. Kozera, Existence and Uniqueness in Photometric Stereo, Discipline of Computer Science School of Information Science and Technology, Flinders University of South Australia, preprint TR 90-14, 1990. | MR

[12] L. Tartar, Compensated Compactness, Henriot-Watt Symposium, Vol. 4, 1978.

[13] R.J. Woodham, Photometric Method for Determining Surface Orientation from Multiple Images, Optical Engineering, Vol. 19, (1), 1980, pp. 139-144.