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Color from black and white

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Abstract

Color constancy can be achieved by analyzing the chromatic aberration in an image. Chromatic aberration spatially separates light of different wavelengths and this allows the spectral power distribution of the light to be extracted. This is more information about the light than is registered by the cones of the human visual system or by a color television camera; and, using it, we show how color constancy, the separation of reflectance from illumination, can be achieved. As examples, we consider grey-level images of (a) a colored dot under unknown illumination, and (b) an edge between two differently colored regions under unknown illumination. Our first result is that in principle we can determine completely the spectral power distribution of the reflected light from the dot or, in the case of the color edge, the difference in the spectral power distributions of the light from the two regions. By employing a finite-dimensional linear model of illumination and surface reflectance, we obtain our second result, which is that the spectrum of the reflected light can be uniquely decomposed into a component due to the illuminant and another component due to the surface reflectance. This decomposition provides the complete spectral reflectance function, and hence color, of the surface as well as the spectral power distribution of the illuminant. Up to the limit of the accuracy of the finite-dimensional model, this effectively solves the color constancy problem.

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References

  1. Max Born and Emil Wolf, Principles of Optics. 6th Pergamon Press: Elmsford. NY, 1980.

    Google Scholar 

  2. D. Brainard and B. Wandell, “An analysis of the retinex theory of color vision,” J. Opt. Soc. Am. A 3:1651–1661, 1986.

    Google Scholar 

  3. J. Cohen, “Dependency of the spectral reflectance curves of the Munsell color Chips.” Psychon. Sci. 1:369–370, 1964.

    Google Scholar 

  4. B. Funt and M. Drew, “Color constancy computation in near-mondrian scenes using a finite dimensional linear model.” Proc. IEEE Conf. Comp. Vision Pattern Recog., Ann Arbor. June 1988.

  5. R. Gershon, A.D. Jepson, and J. Tsotsos, “From [R,G.B] to surface reflectance: computing color constant descriptors in images,” Proc 10th Intern. Joint Conf. Artifi. Intell. Milan, 1987.

  6. J. Ho, B. Funt, and M. Drew, “Disambiguation of illumination and surface reflectance from spectral power distribution of color signal: Theory and applications,” Tech. Rep. CSS/LCCR TR 88-18, Simon Fraser University, 1988.

  7. J. Ho and B. Funt, “Color constancy from chromatic aberration,” Tech. Rep. CSS/LCCR TR 88-17, Simon Fraser University, 1988.

  8. H.H. Hopkins. “The frequency response of a defocused optical system.” Proc. Roy. Soc. (London) A231:91–103, 1955.

    Google Scholar 

  9. Peter Alan Howarth and Arthur Bradley, “The longitudinal chromatic aberration of the human cye, and its correction,” Vision Research 26:361–366, 1986.

    Google Scholar 

  10. Deane B. Judd, David L. MacAdam, and Gunter Wyszecki, “Spectral distribution of typical daylight as a function of correlated color temperature,” J. Opt. Soc. Am. 54(8): 1031–1040, 1964.

    Google Scholar 

  11. Miles V. Klein, Optics. Wiley: New York, 1970.

    Google Scholar 

  12. E.L. Krinov. “Spectral reflectance properties of natural formations,” Tech. Trans. TT-439, National Research Council of Canada. 1947.

  13. E.H. Land. “The retinex theory of color vision,” Proc. Roy. Inst. 43:23–58, 1974.

    Google Scholar 

  14. Laurence T. Maloney, “Computational approaches to color constancy.” Ph.D. thesis. Stanford University, 1985.

  15. D. Marr and E. Hildreth, “Theory of edge detection,” Proc. Roy. Soc. (London) B207, 1980.

  16. Jurgen R. Meyer-Arendt, Introduction to Classical and Modern Optics. Prentice-Hall: Englewood Cliffs, NJ. 1972.

    Google Scholar 

  17. P.A. Stokseth, “Properties of a defocused optical system.” J. Opt. Soc. Am. 59:1314–1321, 1969.

    Google Scholar 

  18. Brian A. Wandell, “The synthesis and analysis of color images,” IEEE Trans. PAMI 9(1):2–13, 1987.

    Google Scholar 

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Funt, B., Ho, J. Color from black and white. Int J Comput Vision 3, 109–117 (1989). https://doi.org/10.1007/BF00126427

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  • DOI: https://doi.org/10.1007/BF00126427

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