Abstract

Using a large number of specially selected imaginary object colors which are metameric with respect to one set of color-mixture functions, the spatial distribution of these colors with respect to the other set of color-mixture functions provides an illustrative means of measuring the total difference of the two sets of color-mixture functions. The spatial distribution follows a normal trivariate distribution law which allows the computation of an ellipsoid that is expected to contain 95% of all theoretically and practically possible object colors of the same class used to calculate that ellipsoid. A numerical example involving the color-mixture functions of the 1931 CIE standard observer and the color-mixture functions derived from the Stiles 10° pilot data demonstrates the theory.

© 1959 Optical Society of America

Counting Metameric Object Colors

W. S. Stiles and G. W. Wyszecki
J. Opt. Soc. Am. 52(3) 313-328 (1962)

Evaluation of Metameric Colors

Günter Wyszecki
J. Opt. Soc. Am. 48(7) 451-454 (1958)

Adequateness of Using 12 Metameric Gray Object Colors in Appraising the Color-Matching Property of Lamps

Y. Nayatani and K. Takahama
J. Opt. Soc. Am. 62(1) 140-143 (1972)

Propagation of Errors in Colorimetric Transformations

Günter Wyszecki
J. Opt. Soc. Am. 49(4) 389-393 (1959)

Calculation of Small Color Differences

F. L. Wurzburg, Alfred DiBernardo, and James R. Cleary
J. Opt. Soc. Am. 49(10) 974-980 (1959)