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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. 2, Iss. 10 — Oct. 1, 1985
  • pp: 1794–1796

Remarks on signal-processing explanations of the trichromacy of vision

Michael H. Brill and Terry Benzschawel  »View Author Affiliations


JOSA A, Vol. 2, Issue 10, pp. 1794-1796 (1985)
http://dx.doi.org/10.1364/JOSAA.2.001794


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Abstract

We present criticism of signal-processing arguments recently used to explain the trichromacy of color vision. In particular, we note that illuminant spectral power distributions (SPD’s) can be metameric even when the signal-processing arguments state that trichromatic vision represents such SPD’s without ambiguity. Being statistical in nature, these arguments need not apply to each individual SPD; however, further use of the arguments calls for attributing them to some ensemble of SPD’s and then testing whether the ensemble satisfies the underlying statistical assumptions.

© 1985 Optical Society of America

History
Original Manuscript: November 13, 1984
Manuscript Accepted: May 21, 1985
Published: October 1, 1985

Citation
Michael H. Brill and Terry Benzschawel, "Remarks on signal-processing explanations of the trichromacy of vision," J. Opt. Soc. Am. A 2, 1794-1796 (1985)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-10-1794


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References

  1. H. B. Barlow, “What causes trichromacy? A theoretical analysis using comb-filtered spectra,” Vision Res. 22, 635–644 (1982). [CrossRef] [PubMed]
  2. G. Buchsbaum, A. Gottschalk, “Trichromacy, opponent colours coding and optimum colour information transmission in the retina,” Proc. R. Soc. London Ser. B 220, 89–113 (1983). [CrossRef]
  3. G. Buchsbaum, A. Gottschalk, “Chromaticity coordinates of frequency-limited functions,” J. Opt. Soc. Am. A 1, 885–887 (1984). [CrossRef] [PubMed]
  4. R. N. Bracewell, The Fourier Transform and Its Applications, 2nd ed. (McGraw-Hill, New York, 1978), pp. 189–194.
  5. H. Van Trees, Detection, Estimation, and Modulation Theory, Vol. I (Wiley, New York, 1968), p. 192.
  6. D. B. Judd, D. L. MacAdam, G. Wyszecki, “Spectral distribution of typical daylight as a function of correlated color temperature,” J. Opt. Soc. Am. 54, 1031–1040 (1964). [CrossRef]
  7. G. Buchsbaum, “The chromaticity coordinates of frequency-limited functions: erratum,” J. Opt. Soc. Am. A 2, 95 (1985). [CrossRef]
  8. Over appropriate ϕ domains, sinusoidal SPD’s with low values of f are nonnegative over x ∈[a, b] for values of m that violate the constraint m≤ 1. For example, sometimes m≥ 0 is sufficient to ensure that S(x) ≥ 0 over [a, b].
  9. H. Wolter, “Physikalische Begriindung eines Farbenkreises und Anzätze einer physikalischen Farbenlehre,” Ann. Phys. (Leipzig) Ser. 6 8, 11–29 (1950). [CrossRef]
  10. M. H. Brill, T. Benzsehawel, “Spectral phase modulation transfer function as a test for models of color vision,” J. Opt. Soc. Am. 72, 1741 (A) (1982). Note that on line 5, “where” should be changed to “else.”

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