Shape from Shading and Photometric Stereo Using Surface Approximation by Legendre Polynomials

Computer Vision and Image Understanding

Volumn 66, Issue 3, 1997, Pages 255-270

  Kim, Bang Hwan ^a,b   Park, Rae Hong ^a  

^a Sogang University   (South Korea)

^b SAMSUNG Electronics   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DIFFERENTIAL EQUATIONS; IMAGE UNDERSTANDING; ITERATIVE METHODS; POLYNOMIALS; THREE DIMENSIONAL;

PHOTOMETRIC STEREO; SHADING;

COMPUTER VISION;

EID: 0031163175     PISSN: 10773142     EISSN: None     Source Type: Journal    
DOI: 10.1006/cviu.1997.0515     Document Type: Article

References (19)

1. B. K. P. Horn, Obtaining shape from shading information, in Shape from Shading (B. K. P. Horn and M. J. Brooks, Eds.), pp. 123-171, MIT Press, Cambridge, MA, 1989.
2. K. Ikeuchi and B. K. P. Horn, Numerical shape from shading and occluding boundaries, Artif. Intell. 17, 1981, 141-184.
3. P. Dupuis and J. Oliensis, Direct method for reconstructing shape from shading, in Proceedings, 1992 IEEE Conf. Computer Vision and Pattern Recognition 2, Champaign, IL, 1992, pp. 453-458.
4. M. Bichsel and A. P. Pentland, A simple algorithm for shape from shading, in Proceedings, 1992 IEEE Conf. Computer Vision and Pattern Recognition 2, Champaign, IL, 1992, pp. 459-465.
5. O. E. Vega and Y. H. Yang, Shading logic: A heuristic approach to recover shape from shading, IEEE Trans. Pattern Anal. Mach. Intell. PAMI-15, 1993, 592-597.
6. M. J. Brooks and B. K. P. Horn, Shape and source from shading, in Proceedings, 1985 Int. Joint Conf. Artif. Intell., Los Angeles, CA, 1985, pp. 932-936.
7. B. K. P. Horn and M. J. Brooks, The variational approach to shape from shading, Comput. Vision Graphics Image Process. 33, 1986, 174-208.
8. B. K. P. Horn, Height and gradient from shading, Int. J. Comput. Vision 5, 1990, 37-75.
9. R. T. Frankot and R. Chellappa, A method for enforcing integrability in shape from shading algorithms, IEEE Trans. Pattern Anal. Mach. Intell. PAMI-10, 1988, 439-451.
10. J. L. Buchanan and P. R. Turner, Numerical Methods and Analysis, pp. 266-321, McGraw-Hill, New York, 1992.
11. P. J. Besl, Surfaces in Range Image Understanding, pp. 305-310, Springer-Verlag, New York, 1988.
12. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C, pp. 290-352, Cambridge Univ. Press, New York, 1988.
13. R. Szeliski, Fast shape from shading, Comput. Vision Graphics Image Process. 53, 1991, 129-153.
14. J. Malik and D. Maydan, Recovering three dimensional shape from a single image of curved objects, IEEE Trans. Pattern Anal. Mach. Intell. PAMI-11, 1989, 555-566.
15. R. Onn and A. Bruckstein, Integrability disambiguates surfaces recovery in two-image photometric stereo, Int. J. Comput. Vision 5, 1990, 105-113.
16. J. Yang, N. Ohnishi, and N. Sugie. Two image photometric stereo method, in SPIE Proc. Intelligent Robots and Computer Vision XI: Biological, Neural Net, and 3-D Methods 1826, Boston, MA, 1992, pp. 452-463.
17. R. J. Woodham, Photometric method for determining surface orientation from multiple images, Opt. Eng. 19, 1980, 139-144.
18. E. N. Coleman Jr. and R. Jain, Obtaining 3-dimensional shape of textured and specular surfaces using four-source photometry, Comput. Graphics Image Process. 18, 1982, 309-328.
19. B. Kim and P. Burger, Depth and shape from shading using the photometric stereo method, CVGIP: Image Understanding 54, 1991, 416-427.