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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 1 — Jan. 1, 1999
  • pp: 36–52

Shape from shading for multiple light sources

Ying-li Tian, H. T. Tsui, S. Y. Yeung, and Songde Ma  »View Author Affiliations


JOSA A, Vol. 16, Issue 1, pp. 36-52 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000036


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Abstract

Many shape recovery algorithms—in particular, shape from shading (SFS)—are based on a point source at infinity or a uniform hemispheric source. It will be convenient and useful if we can perform SFS under indoor lights that may be spherical, cylindrical, or flat (ceiling lights) in shape in an uncontrolled environment. As a first step toward this goal we propose a light source model for each of the above shapes for performing SFS. In this study we give the derivation of the rectangular, spherical, and cylindrical light source models. In indoor environments the positions (usually on the ceiling or walls) of the light sources are known. Assuming that the target object is small relative to the distances from the sources, we have derived a reflectance map for the Lambertian surface of an object under a mixture of light sources of the above shapes. Hence the shape recovery can be performed by using the SFS technique. This is a significant step toward the application of SFS in uncontrolled practical environments under household or office lighting. This technique of shape recovery is verified by many examples of simulations and real experiments, and the results are good.

© 1999 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(150.0150) Machine vision : Machine vision
(330.0330) Vision, color, and visual optics : Vision, color, and visual optics

Citation
Ying-li Tian, H. T. Tsui, S. Y. Yeung, and Songde Ma, "Shape from shading for multiple light sources," J. Opt. Soc. Am. A 16, 36-52 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-1-36


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References

  1. B. K. P. Horn, “Obtaining shape from shading information,” in The Psychology of Computer Vision, P. H. Winston, ed. (McGraw-Hill, New York, 1975), pp. 115–155.
  2. B. K. P. Horn and M. J. Brooks, Shape from Shading (MIT Press, Cambridge, Mass., 1989), pp. 53–87.
  3. M. S. Langer and S. W. Zucker, “Shape-from-shading on a cloudy day,” J. Opt. Soc. Am. A 11, 467–478 (1994).
  4. K. Ikeuchi, “Determining surface orientations of specular surfaces by using the photometric stereo,” IEEE Trans. Pattern. Anal. Mach. Intell. PAMI-6, 661–669 (1981).
  5. M. S. Langer and S. W. Zucker, “What is a light source?” in Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (Institute of Electrical and Electronics Engineers, New York, 1997), pp. 172–178.
  6. S. K. Nayar, K. Ikeuchi, and T. Kanade, “Determining shape and reflectance of hybrid surfaces by photometric sampling,” IEEE Trans. Rob. Autom. 6, 418–431 (1990).
  7. Y. Sato and K. Ikeuchi, “Temporal-color space analysis of reflection,” J. Opt. Soc. Am. A 11, 2990–3002 (1994).
  8. Y. L. Tian and H. T. Tsui, “3D shape recovery from two color image sequences using a genetic algorithm,” in Pro-ceedings of the International Conference on Pattern Recognition (IEEE Computer Society Press, Los Alamitos, Calif., 1996), pp. 674–678.
  9. Y. L. Tian and H. T. Tsui, “Shape recovery from a color image for non-Lambertian surface,” J. Opt. Soc. Am. A 14, 397–404 (1997).
  10. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1959).
  11. Y. M. Zhang and X. Z. Sun, Applied Optics (Mechanical Industry Publishing House (Beijing, 1982).
  12. M. Bichsel and A. P. Pentland, “A simple algorithm for shape from shading,” in Proceedings of the International Conference on Computer Vision and Pattern Recognition (IEEE Computer Society Press, Los Alamitos, Calif. 1992), pp. 459–465.
  13. J. Oliensis, “Shape from shading as a partially well-constrained problem,” Comput. Vis. Graph. Image Process. 54, 163–183 (1991).
  14. P. Dupuis and J. Oliensis, “Direct method for reconstructing shape from shading,” in Proceedings of the Image Understanding Workshop (Morgan Kaufmann, San Mateo, Calif., 1992), pp. 563–571.
  15. J. Oliensis and P. Dupuis, “A global algorithm for shape from shading,” in Proceedings of the 4th International Conference on Computer Vision (IEEE Computer Society Press, Los Alamitos, Calif., 1993), pp. 692–701.
  16. R. Zhang, P. Tsai, J. E. Cryer, and M. Shah, “Analysis of shape from shading techniques,” in Proceedings of the International Conference on Computer Vision and Pattern Recognition (IEEE Computer Society Press, Los Alamitos, Calif., 1994), pp. 377–384.
  17. S. A. Shafer and T. Kanade, “Using shadows in finding surface orientations,” Comput. Vis. Graph. Image Process. 22, 145–146 (1983).
  18. J. R. Kender and E. M. Smith, “Shape from darkness: deriving surface information from dynamic shadows,” in Proceedings of the 1st International Conference on Computer Vision (IEEE Computer Society Press, Los Alamitos, Calif. 1987), pp. 539–546.
  19. L. Wang and J. Clark, “Active shape and depth extraction from shadow images,” in Proceedings of the International Conference on Image Processing (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1994), pp. 550–553.

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