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Applied Optics

Applied Optics


  • Vol. 38, Iss. 1 — Jan. 1, 1999
  • pp: 208–218

Statistics of color-matching experimental data

Fernando Carreño and Jesús Manuel Zoido  »View Author Affiliations

Applied Optics, Vol. 38, Issue 1, pp. 208-218 (1999)

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By assuming that color matches are normally distributed in XYZ space, we present a rigorous statistical technique to obtain regions of equally noticeable chromaticity differences. The probability density function of color matches in (x, y, Y) space is calculated according to standard techniques in probability theory. The geometry of the chromaticity thresholds is computed for various confidence levels α. Because of the asymmetry of the probability density function in (x, y, Y) space, the chromaticity thresholds are not symmetrical around the color center. The asymmetries depend on the color center, and they increase when high confidence levels (α < 0.32) are considered. It is our opinion that the technique proposed here can provide a useful tool for checking and evaluating deviations from the elliptic geometry of the chromaticity thresholds. It is formally demonstrated that regions of equally noticeable chromaticity differences are not ellipses when the normality hypothesis is assumed in XYZ space.

© 1999 Optical Society of America

OCIS Codes
(330.1690) Vision, color, and visual optics : Color
(330.1720) Vision, color, and visual optics : Color vision
(330.1730) Vision, color, and visual optics : Colorimetry

Original Manuscript: June 4, 1998
Revised Manuscript: October 7, 1998
Published: January 1, 1999

Fernando Carreño and Jesús Manuel Zoido, "Statistics of color-matching experimental data," Appl. Opt. 38, 208-218 (1999)

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