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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. 11, Iss. 3 — Mar. 1, 1994
  • pp: 1047–1052

Reconstruction of shape from shading in color images

L. L. Kontsevich, A. P. Petrov, and I. S. Vergelskaya  »View Author Affiliations


JOSA A, Vol. 11, Issue 3, pp. 1047-1052 (1994)
http://dx.doi.org/10.1364/JOSAA.11.001047


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Abstract

We propose a method for shape reconstruction from color shades produced by multiple chromatic light sources. The linear relation between surface-normal vectors and three-dimensional response vectors for a uniformly colored and illuminated region of a surface can be reconstructed in two steps. In the first step a quadratic form of metric in response space induced from a natural metric in normal space is reconstructed. At this stage proper image segmentation can be obtained. In the second step an exact mapping from response space into the space of surface normals is reconstructed. The matrix for this mapping is one of the square roots of the quadratic-form matrix that satisfies the integrability constraint. The method is in all respects much simpler than existing methods for solving the depth-from-shading task for monochromatic images.

© 1994 Optical Society of America

History
Original Manuscript: April 2, 1992
Revised Manuscript: July 16, 1993
Manuscript Accepted: October 21, 1993
Published: March 1, 1994

Citation
L. L. Kontsevich, A. P. Petrov, and I. S. Vergelskaya, "Reconstruction of shape from shading in color images," J. Opt. Soc. Am. A 11, 1047-1052 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-3-1047


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References

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  9. L. L. Kontsevich, “Computation of surface shape for uniformly colored and illuminated-by-chromatic-light-sources convex object from its two-dimensional projection,” in Data Processing in Information Systems (Academy of Sciences of the USSR, Moscow, 1986), pp. 16–19 (in Russian).

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