FMC Color-Difference Formulas: Clarification Concerning Usage

There are two distinct versions of the FMC color-difference formula. The FMC-2 version, now recommended for study by the CIE, was developed to reproduce certain features of the Simon–Goodwin graphical technique and is intended only for use with non-self-luminous stimulus objects. Color-difference ellipsoids computed from the two versions always differ. However, when the luminous reflectance is 10.69, the FMC-2 version fits the Nutting chromaticity-discrimination ellipse data with a mean-square error of color difference equal to 0.0306. Formulas for color-metric coefficients for the FMC-2 version are given.

[1]  D. L. Macadam.  Maximum Visual Efficiency of Colored Materials , 1935 .

[2]  D. L. Macadam.  Visual Sensitivities to Color Differences in Daylight , 1942 .

[3]  D. B. Judd,et al.  Final Report of the O.S.A. Subcommittee on the Spacing of the Munsell Colors , 1943 .

[4]  D. L. Macadam.  Specification of Small Chromaticity Differences , 1943 .

[5]  David L. MacAdam,et al.  The distribution of color matchings around a color center , 1945 .

[6]  D. L. Macadam,et al.  Visual sensitivities to combined chromaticity and luminance differences. , 1949, Journal of the Optical Society of America.

[7]  Use of Charts for Rapid Calculation of Color Difference , 1955 .

[8]  W. R. Brown.  Color discrimination of twelve observers. , 1957, Journal of the Optical Society of America.

[9]  Analytical Approximations for Color Metric Coefficients. III. Optimization of Parameters in Friele’s Formulas , 1964 .

[10]  Further Analysis of Color Discrimination Data , 1965 .

[11]  Smoothed Versions of Friele’s 1965 Approximations for Color Metric Coefficients , 1966 .

[12]  D. Berreman.  Simple Relation Between Reflectances of Polarized Components of a Beam When the Angle of Incidence is 45 Degrees , 1966 .

[13]  K. D. Chickering.  Optimization of the MacAdam-modified 1965 Friele color-difference formula. , 1967, Journal of the Optical Society of America.

[14]  G. Wyszecki.  Technical Notes: Recent Agreements Reached by the Colorimetry Committee of the Commission Internationale de l’Eclairage , 1968 .