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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 71, Iss. 3 — Mar. 1, 1981
  • pp: 280–284

Mesopic luminous-efficiency functions

Mitsuo Ikeda and Hiroaki Shimozono  »View Author Affiliations

JOSA, Vol. 71, Issue 3, pp. 280-284 (1981)

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In order to establish the luminous-efficiency function for mesopic vision of the standard observer, luminous efficiency functions were measured with the direct heterochromatic brightness-matching method at retinal illuminance in the range of -2–2 log photopic trolands in order to cover the scotopic, mesopic, and photopic conditions. A steady visual field of 10° are was presented foveally. The functions underwent the usual complicated change from a rod type of luminous-efficiency function close to V′(λ) to a cone function that had a wide and almost double-peaked shape. A simple formula to represent the mesopic luminous-efficiency functions was derived in which log sensitivities of scotopic and photopic vision were linearly added after being multiplied by coefficients that were dependent on the luminance level. Saturation functions were also obtained at the various luminance levels for which luminous efficiency was investigated. In spite of a great variation of luminance level, the saturation function remained more or less the same, which indicates that the chromatic channels retain their contributions to the brightness sensation at low retinal illumination.

© 1981 Optical Society of America

Mitsuo Ikeda and Hiroaki Shimozono, "Mesopic luminous-efficiency functions," J. Opt. Soc. Am. 71, 280-284 (1981)

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  1. H. V. Walters and W. D. Wright, "The spectral sensitivity of the fovea and extra-fovea in the Purkinje range," Proc. R. Soc. London, Ser. B 131,340 (1943); W. D. Wright, Researches on Normal and Defective Colour Vision (Henry Kimpton, London, 1946).
  2. J. A. S. Kinney, "Sensitivity of the eye to spectral radiation at scotopic and mesopic intensity levels," J. Opt. Soc. Am. 45, 507–514 (1955).
  3. J. A. S. Kinney, "Comparison of scotopic, mesopic and photopic spectral sensitivity curves," J. Opt. Soc. Am. 48, 185–190 (1958).
  4. J. A. S. Kinney, "Effect of field sizes and position on mesopic spectral sensitivity," J. Opt. Soc. Am. 54, 671–677 (1964).
  5. R. E. Bedford and G. W. Wyszecki, "Luminous functions for various field sizes and levels of retinal illuminance," J. Opt. Soc. Am. 48, 406–411 (1958).
  6. C. S. Bridgman, "The luminosity curve as affected by the relation between rod and cone adaptation," J. Opt. Soc. Am. 43, 733–737 (1953).
  7. D. A. Palmer, "The definition of a standard observer for mesopic photometry," Vision Res. 7, 619–628 (1967).
  8. D. A. Palmer, "Standard observer for large-field photometry at any level," J. Opt. Soc. Am. 58, 1296–1299 (1968).
  9. D. A. Palmer, "Rod-cone mechanism underlying the Purkinje shift," Nature 262, 601–603 (1976).
  10. S. Kokoschka and H. W. Bodmann, "Ein konsistentes System für photometrischen Strahlungsbewertung im gesamten Adaptationsbereich," CIE Pub. No. 36 (Commission Internationale de l'Eclairage, Paris, 1976), pp. 217–225.
  11. "Light as a true visual quantity: principles of measurement," CIE Pub. No. 41 (Commission International de l'Eclairage, Paris, 1978), p. 37.
  12. J. P. Comerford and P. K. Kaiser, "Luminous-efficiency functions determined by heterochromatic brightness matching," J. Opt. Soc. Am. 65, 466–468 (1975).
  13. M. Ikeda and H. Shimozono, "Luminous efficiency functions determined by successive brightness matching," J. Opt. Soc. Am. 68, 1767–1771 (1978).
  14. S. L. Guth and H. R. Lodge, "Heterochromatic additivity, foveal spectral sensitivity, and a new color model," J. Opt. Soc. Am. 63, 450–462 (1973).
  15. S. L. Guth, R. W. Massof, and T. Benzschawel, "Vector model for normal and dichromatic color vision," J. Opt. Soc. Am. 70, 197–212 (1980).
  16. H. Yaguchi and M. Ikeda, "Luminous efficiency functions by the heterochromatic brightness matching for a wide range of retinal illuminance," J. Light Vis. Environ. (to be published).
  17. P. K. Kaiser and J. P. Comerford, "Flicker photometry of equally bright lights," Vision Res. 15, 1399–1402 (1975).
  18. P. K. Kaiser, "Request for brightness-matching data and mathematical colour-vision models," Color Res. Appl. 3, 148 (1978).
  19. Technical Committee TC-1.4 of the Commission Internationale de l'Eclairage was established at the Kyoto Session (1979) by the Luminous Efficiency Functions Subcommittee to collect sufficient information regarding luminous-efficiency functions by using heterochromatic brightness matching.

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