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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. 7 — Jul. 1, 1994
  • pp: 1970–1975

Criteria for color constancy in trichromatic bilinear models

Geoffrey Iverson and Michael D’Zmura  »View Author Affiliations


JOSA A, Vol. 11, Issue 7, pp. 1970-1975 (1994)
http://dx.doi.org/10.1364/JOSAA.11.001970


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Abstract

We examine conditions under which the spectral properties of lights and surfaces may be recovered by a trichromatic visual system that uses bilinear models. We derive criteria for perfect recovery, formulated in terms of invariant properties of model matrices, for situations in which either two or three lights are shone sequentially on a set of surfaces.

© 1994 Optical Society of America

Citation
Geoffrey Iverson and Michael D'Zmura, "Criteria for color constancy in trichromatic bilinear models," J. Opt. Soc. Am. A 11, 1970-1975 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-7-1970


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References

  1. M. D'Zmura, "Color constancy: surface color from changing illumination," J. Opt. Soc. Am. A 9, 490–493 (1992). [CrossRef]
  2. M. D'Zmura and G. Iverson, "Color constancy. I. Basic theory of two-stage linear recovery of spectral descriptions for lights and surfaces," J. Opt. Soc. Am. A 10, 2148–2165 (1993). [CrossRef]
  3. M. D'Zmura and G. Iverson, "Color constancy. II. Results for two-stage linear recovery of spectral descriptions for lights and surfaces," J. Opt. Soc. Am. A 10, 2166–2180 (1993). [CrossRef]
  4. D. H. Marimont and B. A. Wandell, "Linear models of surface and illuminant spectra," J. Opt. Soc. Am. A 9, 1905–1913 (1992). [CrossRef] [PubMed]
  5. G. J. Iverson and M. D'Zmura, "Criteria for color constancy in trichromatic bilinear models," presented at the Twenty- Fifth Annual Mathematical Psychology Meeting, Stanford University, Palo Alto, Calif., August 1992.
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  11. Note that our notion of decomposability is often referred to in the linear algebra literature as reducibility, e.g., P. R. Halmos, Finite-Dimensional Vector Spaces, 2nd ed. (Van Nostrand, Princeton, N.J., 1958), and S. K. Berberian, Linear Algebra (Oxford U. Press, New York, 1992). Our usage agrees with terminology used in the theory of group representations, e.g., M. Hamermesh, Group Theory and Its Application to Physical Problems (Addison-Wesley, Reading, Mass., 1962).
  12. S. Lang, Linear Algebra, 2nd ed. (Addison-Wesley, Reading, Mass., 1971).
  13. E. Anderson, Z. Bai, C. Bischof, J. Demmel, J. Dongarra, A. DuCroz, S. Greenbaum, S. Hammarling, A. McKenney, S. Ostrouchov, and D. Sorensen, LAPACK User's Guide (SIAM, Philadelphia, 1992).
  14. V. C. Smith and J. Pokorny, "Spectral sensitivity of the foveal cone photopigments between 400 and 500 nm," Vision Res. 15, 161–171 (1975). [CrossRef] [PubMed]
  15. L. M. Hurvich and D. Jameson, "Some quantitative aspects of an opponent-colors theory. II. Brightness saturation and hue in normal and dichromatic vision," J. Opt. Soc. Am. 45, 602–616 (1955). [CrossRef] [PubMed]
  16. G. Wyszecki and W. S. Stiles, Color Science. Concepts and Methods, Quantitative Data and Formulas, 2nd ed. (Wiley, New York, 1982).

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