OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 70, Iss. 12 — Dec. 1, 1980
  • pp: 1471–1476

Equations for chromatic discrimination models

Robert M. Boynton and John J. Wisowaty  »View Author Affiliations


JOSA, Vol. 70, Issue 12, pp. 1471-1476 (1980)
http://dx.doi.org/10.1364/JOSA.70.001471


View Full Text Article

Acrobat PDF (640 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Equations are derived to fit the cone sensitivity values of Smith and Pokorny, which are based mainly upon Judd’s modified color matching functions and the spectral sensitivities of normal and dichromatic observers. The equations, which fit Smith and Pokorny’s values to within 1 to 3%, are smooth and differentiable. Derivatives of cone sensitivities for an equal luminance spectrum, which are of particular importance for models of chromatic discrimination, have been calculated and are shown graphically.

© 1980 Optical Society of America

Citation
Robert M. Boynton and John J. Wisowaty, "Equations for chromatic discrimination models," J. Opt. Soc. Am. 70, 1471-1476 (1980)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-70-12-1471


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. A. König and C. Dieterici, "Die Grünempfindungen in normalen und anomalen Farbensystemen und ihre Intensitätsverteilung im Spektrum," Z. Psychol. Physiol. Sinnesorg. 4, 241–347 (1893).
  2. J. J. Vos and P. L. Walraven, "On the derivation of the foveal receptor primaries," Vis. Res. 11, 799–818 (1971).
  3. V. C. Smith and J. Pokorny, "Spectral sensitivity of the foveal cone photopigments between 400 and 500 nm," Vis. Res. 15, 161–171 (1975).
  4. A. Eisner and D. I. A. MacLeod, "Blue cones do not contribute to luminance," J. Opt. Soc. Am. 70, 121–123 (1980).
  5. Smith and Pokorny do not give tabled values, but rather present the transformation equations from which they may be calculated. We thank V. Smith for furnishing tabled sensitivity values.
  6. The most convenient source for Judd's values is in G. Wyszecki and W. S. Stiles, Color Science (Wiley, New York, 1967), p. 436.
  7. Curves similar to these are given in R. M. Boynton, Human Color Vision, (Holt, New York, 1979), p. 262, where a chromatic discrimination model is discussed.
  8. Transformation equations have been developed that now make it possible to compute Judd's values from CIE values [J. J. Vos, "Colorimetric and photometric properties of a 2° fundamental observer," Color Res. Appl. 3, 125–128, (1978)]. Since the CIE data are readily available in 1-nm intervals, values based on Judd's equations can also be determined for these smaller steps.
  9. This additional information is available as AIP document No. PAPS JOSAA-70-1471-27. Order by PAPS number and journal reference from American Institute of Physics, Auxiliary Publication Service, 335 East 45 St., New York, N.Y. 10017. The price is $5.00. Make remittances payable to the American Institute of Physics.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited