OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 63, Iss. 12 — Dec. 1, 1973
  • pp: 1613–1615

Fluctuation theory of luminance applied to the Munsell scale of lightness

H. W. Holdaway  »View Author Affiliations


JOSA, Vol. 63, Issue 12, pp. 1613-1615 (1973)
http://dx.doi.org/10.1364/JOSA.63.001613


View Full Text Article

Acrobat PDF (292 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The theory of statistical fluctuations has been applied to fitting Munsell data for nearly neutral specimens. This leads to a form of hyperbolic cosine law for lightness value expressed as a function of luminous reflectance. An inverse relationship can be readily obtained in terms of standard mathematical functions. Account is taken of the effects of adaptation.

Citation
H. W. Holdaway, "Fluctuation theory of luminance applied to the Munsell scale of lightness," J. Opt. Soc. Am. 63, 1613-1615 (1973)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-63-12-1613


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. M. A. Bouman, J. J. Vos, and P. L. Walraven, J. Opt. Soc.Am. 53, 121 (1963).
  2. S. M. Newhall, D. Nickerson, and D. B. Judd, J. Opt. Soc. Am. 33, 385 (1943).
  3. K. L. Kelly, K. S. Gibson, and D. Nickerson, J. Opt. Soc. Am. 33, 355 (1943).
  4. In lieu of the exponential distribution of times between spikes used by Bouman et al, it is possible to use the more-general probability distribution for which dp = u(t - t0)F{n¯(t - t0)n¯} d t, where u (t) is the Heaviside unit function and ∫-∞ d p = 1. Apart from numerical factors that can be absorbed into k and ƒ, this leads to essentially the same forms of expressions as those given here.
  5. S. M. Newhall, J. Opt. Soc. Am. 30, 617 (1940).
  6. J. A. Nelder and R. Mead, Comput. J. 7, 308 (1965).
  7. P. Moon and D. E. Spencer, J. Opt. Soc. Am. 33, 270 (1943).
  8. Colorimetry, Publication CIE No. 15 (1971), p. 14.
  9. E. A. Trabka, Vision Res. 8, 113 (1968).
  10. E. A. Trabka, J. Opt. Soc. Am. 59, 345 (1969).
  11. W. S. Stiles, Proc. Phys. Soc. Lond. 58, 41 (1945).
  12. G. Wyszecki and W. S. Stiles, Color Science (Wiley, New York, 1967), p. 578.

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