On variational approach to photometric stereo

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1. [1] R.A. Adams, Sobolev Spaces, Academic Press, New York, 1975. Zbl0314.46030MR450957
2. [2] J.M. Ball, A Version of the Fundamental Theorem for Young Measures, Lecture Notes in Physics, Springer Verlag, No. 344, pp. 207-215. Zbl0991.49500MR1036070
3. [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. Zbl0282.49041MR344980
4. [4] M.J. Brooks, W. Chojnacki and R. Kozera, Shading Without Shape, Quaterly of Appl. Math. (in press). Zbl0763.35103
5. [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). Zbl0799.35036
6. [6] A.R. Bruss, The Eikonal Equation: Some Results Applicable to Computer Vision, J. Math. Phys., Vol. 23, (5), 1982, pp. 890-896. Zbl0502.35079MR655907
7. [7] J. Chabrowski and Kewei Zhang, On Shape from Shading Problem, Department of Mathematics, the University of Queensland, preprint. Zbl0878.35026MR1139048
8. [8] B. Dacorogna, Direct Methods in the Caluculus of Variations, Applied Mathematical Sciences, Vol. 78, Springer Verlag, BerlinHeidelberg, 1989. Zbl0703.49001MR990890
9. [9] B.K.P. Horn, Robot Vision, M.I.T. Press, Cambridge M.A., 1986. 
10. [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. [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. MR1110435
12. [12] L. Tartar, Compensated Compactness, Henriot-Watt Symposium, Vol. 4, 1978. 
13. [13] R.J. Woodham, Photometric Method for Determining Surface Orientation from Multiple Images, Optical Engineering, Vol. 19, (1), 1980, pp. 139-144.