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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 30, Iss. 6 — Jun. 1, 2013
  • pp: 1248–1255

Brightness perception of unrelated self-luminous colors

Martijn Withouck, Kevin A. G. Smet, Wouter R. Ryckaert, Michael R. Pointer, Geert Deconinck, Jan Koenderink, and Peter Hanselaer  »View Author Affiliations

JOSA A, Vol. 30, Issue 6, pp. 1248-1255 (2013)

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The perception of brightness of unrelated self-luminous colored stimuli of the same luminance has been investigated. The Helmholtz–Kohlrausch (H-K) effect, i.e., an increase in brightness perception due to an increase in saturation, is clearly observed. This brightness perception is compared with the calculated brightness according to six existing vision models, color appearance models, and models based on the concept of equivalent luminance. Although these models included the H-K effect and half of them were developed to work with unrelated colors, none of the models seemed to be able to fully predict the perceived brightness. A tentative solution to increase the prediction accuracy of the color appearance model CAM97u, developed by Hunt, is presented.

© 2013 Optical Society of America

OCIS Codes
(330.1690) Vision, color, and visual optics : Color
(330.5020) Vision, color, and visual optics : Perception psychology
(330.5510) Vision, color, and visual optics : Psychophysics

ToC Category:
Vision, Color, and Visual Optics

Original Manuscript: December 19, 2012
Revised Manuscript: April 16, 2013
Manuscript Accepted: April 30, 2013
Published: May 28, 2013

Virtual Issues
Vol. 8, Iss. 7 Virtual Journal for Biomedical Optics

Martijn Withouck, Kevin A. G. Smet, Wouter R. Ryckaert, Michael R. Pointer, Geert Deconinck, Jan Koenderink, and Peter Hanselaer, "Brightness perception of unrelated self-luminous colors," J. Opt. Soc. Am. A 30, 1248-1255 (2013)

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  1. CIE, International Lighting Vocabulary (CIE Central Bureau, 2011).
  2. C. L. Sanders and G. Wyszecki, “Correlate for brightness in terms of CIE color matching data,” in CIE Proceedings 15th Session (CIE Central Bureau, 1963).
  3. Y. Nayatani, “Simple estimation methods for the Helmholtz—Kohlrausch effect,” Color Res. Appl. 22, 385–401 (1997). [CrossRef]
  4. CIE, Supplementary System of Photometry (CIE Central Bureau, 2011).
  5. CIE, Testing of Supplementary Systems of Photometry (CIE Central Bureau, 2001).
  6. G. Wyszecki and W. S. Stiles, Color Science, 2nd ed. (Wiley, 1982), p. 410.
  7. S. L. Guth, N. J. Donley, and R. T. Marrocco, “On luminance additivity and related topics,” Vis. Res. 9, 537–575 (1969). [CrossRef]
  8. 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). [CrossRef]
  9. R. M. Boynton and P. K. Kaiser, “Vision: the additivity law made to work for heterochromatic photometry with bipartite fields,” Science 161, 366–368 (1968). [CrossRef]
  10. G. Wagner and R. M. Boynton, “Comparison of four methods of heterochromatic photometry,” J. Opt. Soc. Am. 62, 1508–1515 (1972). [CrossRef]
  11. P. K. Kaiser and G. Wyszecki, “Additivity failures in heterochromatic brightness matching,” Color Res. Appl. 3, 177–182 (1978). [CrossRef]
  12. S. S. Stevens, “On the psychophysical law,” Psychol. Rev. 64, 153–181 (1957). [CrossRef]
  13. H. Yaguchi and M. Ikeda, “Subadditivity and superadditivity in heterochromatic brightness matching,” Vis. Res. 23, 1711–1718 (1983). [CrossRef]
  14. M. D. Fairchild, Color Appearance Models, 2nd ed., Wiley-IS&T Series in Imaging Science and Technology (Wiley, 2005).
  15. R. W. G. Hunt and M. R. Pointer, Measuring Colour, 4th ed., Wiley-IS&T Series in Imaging Science and Technology (Wiley, 2011).
  16. R. W. G. Hunt, “Revised colour-appearance model for related and unrelated colours,” Color Res. Appl. 16, 146–165 (1991). [CrossRef]
  17. S. L. Guth, “ATD01 model for color appearances, color differences and chromatic adaptation,” Proc. SPIE 4421, 303–3062002). [CrossRef]
  18. C. Fu, C. Li, G. Cui, M. R. Luo, R. W. G. Hunt, and M. R. Pointer, “An investigation of colour appearance for unrelated colours under photopic and mesopic vision,” Color Res. Appl. 37, 238–254 (2012). [CrossRef]
  19. R. W. G. Hunt, Measuring Colour, 3rd ed. (Fountain, 1998), pp. 239–246.
  20. M. R. Luo and R. W. G. Hunt, “The structure of the CIE 1997 Colour Appearance Model (CIECAM97s),” Color Res. Appl. 23, 138–146 (1998). [CrossRef]
  21. CIE, A Colour Appearance Model for Colour Management Systems: CIECAM02 (CIE Central Bureau, 2004).
  22. P. Capilla, M. J. Luque, J. Gómez, and A. Palomares, “On saturation and related parameters following Guth’s ATD colour-vision model,” Color Res. Appl. 26, 305–321 (2001). [CrossRef]
  23. M. R. Luo, A. A. Clarke, P. A. Rhodes, A. Schappo, S. A. R. Scrivener, and C. J. Tait, “Quantifying colour appearance. Part I. Lutchi colour appearance data,” Color Res. Appl. 16, 166–180 (1991). [CrossRef]
  24. K. Sagawa and K. Takeichi, “System of mesopic photometry for evaluating lights in terms of comparative brightness relationships,” J. Opt. Soc. Am. A 9, 1240–1246 (1992). [CrossRef]
  25. Y. Nakano, “A model for brightness perception and its application to individual data,” Jpn. J. Opt. 21, 705–716 (1992).
  26. D. A. Palmer, “Standard observer for large-field photometry at any level,” J. Opt. Soc. Am. 58, 1296–1298 (1968). [CrossRef]
  27. CIE, Colorimetry (CIE Central Bureau, 2004).
  28. T. N. Cornsweet, Visual Perception (Academic, 1970).
  29. F. B. Leloup, M. R. Pointer, P. Dutré, and P. Hanselaer, “Luminance-based specular gloss characterization,” J. Opt. Soc. Am. A 28, 1322–1330 (2011). [CrossRef]
  30. G. A. Gescheider, “Psychophysical scaling,” Annual Rev. Psych. 39, 169–200 (1988). [CrossRef]
  31. W. S. Torgerson, Theory and Methods of Scaling (Wiley, 1958).
  32. ASTM International, ASTM Standard E1697-05(2012)e1, “Standard Test Method for Unipolar Magnitude Estimation of Sensory Attributes” (ASTM International, 2012).
  33. P. A. García, R. Huertas, M. Melgosa, and G. Cui, “Measurement of the relationship between perceived and computed color differences,” J. Opt. Soc. Am. A 24, 1823–1829 (2007). [CrossRef]
  34. A. Field, Discovering Statistics Using SPSS, 3rd ed. (SAGE, 2009).

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