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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

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 12 — Dec. 1, 2009
  • pp: 2488–2502

A spectral theory of color perception

James J. Clark and Sandra Skaff  »View Author Affiliations


JOSA A, Vol. 26, Issue 12, pp. 2488-2502 (2009)
http://dx.doi.org/10.1364/JOSAA.26.002488


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Abstract

The paper adopts the philosophical stance that colors are real and can be identified with spectral models based on the photoreceptor signals. A statistical setting represents spectral profiles as probability density functions. This permits the use of analytic tools from the field of information geometry to determine a new kind of color space and structure deriving therefrom. In particular, the metric of the color space is shown to be the Fisher information matrix. A maximum entropy technique for spectral modeling is proposed that takes into account measurement noise. Theoretical predictions provided by our approach are compared with empirical colorfulness and color similarity data.

© 2009 Optical Society of America

OCIS Codes
(330.1690) Vision, color, and visual optics : Color
(330.1720) Vision, color, and visual optics : Color vision
(330.4060) Vision, color, and visual optics : Vision modeling

ToC Category:
Vision, Color, and Visual Optics

History
Original Manuscript: February 17, 2009
Revised Manuscript: September 17, 2009
Manuscript Accepted: September 29, 2009
Published: November 4, 2009

Virtual Issues
Vol. 5, Iss. 1 Virtual Journal for Biomedical Optics

Citation
James J. Clark and Sandra Skaff, "A spectral theory of color perception," J. Opt. Soc. Am. A 26, 2488-2502 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-12-2488


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References

  1. B. Maund, “Color,” in The Stanford Encyclopedia of Philosophy, Winter 2008 ed., Edward N. Zalta, ed., http://plato.stanford.edu/archives/win2008/entries/color/.
  2. A. Byrne and D. Hilbert, “Color realism and color science,” Behav. Brain Sci. 26, 3-64 (2003). [PubMed]
  3. M. Tye, “The puzzle of true blue,” Analysis 66, 173-178 (2006). [CrossRef]
  4. C. L. Hardin, “A spectral reflectance doth not a color make,” J. Philos. 100, 191-202 (2003).
  5. J. K. O'Regan and A. Noë, “A sensorimotor account of vision and visual consciousness,” Behav. Brain Sci. 24, 939-1011 (2001). [CrossRef]
  6. D. H. Brainard and W. T. Freeman, “Bayesian color constancy,” J. Opt. Soc. Am. A 14, 1393-1411 (1997). [CrossRef]
  7. L. T. Maloney and B. A. Wandell, “Color constancy: a method for recovering surface spectral reflectance,” J. Opt. Soc. Am. A 3, 29-33 (1986). [CrossRef] [PubMed]
  8. R. T. Cox, The Algebra of Probable Inference (Johns Hopkins Univ. Press, 1961).
  9. P. Morovic, and G. D. Finlayson, “Metamer-set-based approach to estimating surface reflectance from camera RGB,” J. Opt. Soc. Am. A 23, 1814-1822 (2006). [CrossRef]
  10. D. H. Krantz, “Color measurement and color theory: I. Representation theorem for Grassmann structures,” J. Meteorol. Soc. Jpn. 12, 283-303 (1975).
  11. C. H. Graham and Y. Hsia, “Studies of color blindness: a unilaterally dichromatic subject,” Proc. Natl. Acad. Sci. U.S.A. 45, 96-99 (1959). [CrossRef]
  12. D. I. A. MacLeod and P. Lennie, “Red-green blindness confined to one eye,” Vision Res. 16, 691-702 (1976). [CrossRef] [PubMed]
  13. M. A. Webster, E. Miyahara, G. Malkoc, and V. E. Raker, “Variations in normal color vision. II. Unique hues,” J. Opt. Soc. Am. A 17, 1545-1555 (2000). [CrossRef]
  14. J. J. Clark and S. Skaff, “Maximum entropy models of surface reflectance spectra,” in Proceedings of the IEEE Instrumentation and Measurement Technology Conference, IMTC 2005 (IEEE, 2005), Vol. 2, pp. 1557-1560. [CrossRef]
  15. E. T. Jaynes, “Prior probabilities,” IEEE Trans. Syst. Sci. Cybern. SSC-4, 227-241 (1968). [CrossRef]
  16. E. T. Jaynes, “On the rationale of maximum-entropy methods,” Proc. IEEE 70, 939-952 (1982). [CrossRef]
  17. E. T. Jaynes, “Concentration of distributions at entropy maxima,” in E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics, R.D.Rosenkrantz, ed. (D. Reidel, 1979), pp. 315-334.
  18. S.-I. Amari and H. Nagaoka, Methods of Information Geometry, Vol. 191 of Translations of Mathematical Monographs (American Mathematical Society, 2000).
  19. R. A. Fisher, “Theory of statistical estimation,” Proc. Cambridge Philos. Soc. 22, 700-725 (1925). [CrossRef]
  20. S. J. Maybank, “The Fisher-Rao metric,” Math. Today 44(6), 255-257 (2008).
  21. N. N. Cencov, Statistical Decisions Rules and Optimal Inference, Vol. 53 of Transactions on Mathematical Monographs (American Mathematical Society, 1982).
  22. C. R. Rao, “Information and accuracy attainable in the estimation of statistical parameters,” Bull. Calcutta Math. Soc. 37, 81-91 (1945).
  23. S. Kullback and R. A. Leibler, “On information and sufficiency,” Ann. Math. Stat. 22, 79-86 (1951). [CrossRef]
  24. N. Silver, D. S. Sivia, and J. E. Gubernatis, “Maximum-entropy method for analytic continuation of quantum Monte Carlo data,” Phys. Rev. B 41, 2380-2389 (1990). [CrossRef]
  25. A. N. Tikhonov and V. Y. Arsenin, Solutions of Ill-posed Problems (Winston, 1977).
  26. A. Stockman, L. T. Sharpe, and C. C. Fach, “The spectral sensitivity of the human short-wavelength cones,” Vision Res. 39, 2901-2927 (1999). [CrossRef] [PubMed]
  27. D. B. Judd and G. Wyszecki, Color in Business, Science, and Industry, 3rd ed. (Wiley, 1975).
  28. N. Moroney, M. D. Fairchild, R. W. G. Hunt, C. J. Li, M. R. Luo, and T. Newman, “The CIECAM02 color appearance model,” in 10th IS&T/SID Color Imaging Conference (2002) pp. 23-27.
  29. R. W. G. Hunt, “Saturation, superfluous or superior?” 9th IS&T/SID Color Imaging Conference (2001), pp. 1-5.
  30. M. R. Luo, A. A. Clarke, P. A. Rhodes, A. Schappo, S. A. R. Scrivner, and C. J. Tait, “Quantifying colour appearance. Part I. LUTCHI colour appearance data,” Color Res. Appl. 16, 166-180 (1991). [CrossRef]
  31. M. H. Kim, T. Weyrich, and J. Kautz, “Modeling human color perception under extended luminance levels,” in International Conference on Computer Graphics and Interactive Techniniques (ACM Digital Library, 2009), article 27.
  32. A. H. Munsell, Munsell Book of Color: Matte Finish Collection (Munsell Color, 1979).
  33. J. P. S. Parkkinen, J. Hallikainen, and T. Jaaskelainen, “Characteristic spectra of Munsell colors,” J. Opt. Soc. Am. A 6, 318-322 (1989). [CrossRef]
  34. K. Uchikawa, H. Uchikawa and P. K. Kaiser, “Luminance and saturation of equality bright colors,” Color Res. Appl. 9, 5-14 (1984). [CrossRef]
  35. T. D. Kulp and K. Fuld, “The prediction of hue and saturation for non-spectral lights,” Vision Res. 35, 2967-2983 (1995). [CrossRef] [PubMed]
  36. J. J. Vos, “Line elements and physiological models of color vision,” Color Res. Appl. 4, 208-216 (1979). [CrossRef]
  37. J. J. Vos, “From lower to higher colour metrics: a historical account,” Clin. Exp. Optom. 86, 348-360 (2006). [CrossRef]
  38. H. Helmholtz, Handbuch der physiologischen Optik, 2nd ed. (Voss, 1896).
  39. E. Schrödinger, “Grundlinien einer Theorie der Farbenmetrik im Tagessehen,” Ann. Phys. 368, 481-584 (1920). [CrossRef]
  40. M. A. Bouman and P. L. Walraven, “Quantum theory of colour discrimination of dichromats,” Vision Res. 2, 177-187 (1962). [CrossRef]
  41. W. S. Stiles, “A modified Helmholtz line element in brightness-colour space,” Proc. Phys. Soc. London 58, 41-65 (1946). [CrossRef]
  42. J. J. Vos and P. L. Walraven, “An analytical description of the line element in the zone fluctuation model of color vision, I and II,” Vision Res. 12, 1327-1365 (1972). [CrossRef] [PubMed]
  43. K. J. McCree, “Small field tritanopia and the effects of voluntary fixation,” J. Mod. Opt. 7, 4, 317-323 (1960). [CrossRef]
  44. T. W. Cronin and J. Marshall, “Parallel processing and image analysis in the eyes of mantis shrimps,” Biol. Bull. 200, 177-183 (2001). [CrossRef] [PubMed]

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