Prediction of the formula for matching a given color standard by blending pre-dyed fibers is of considerable importance to the textile industry. Stearns and Noechel and Friele have derived functions of reflectance which are approximately linear with fiber quantity in a blend. These may be used for the purpose of formula prediction. In both cases, however, numerical constants must be determined to fit the fiber system being used. Since these constants must be empirically fitted to the data, we propose a purely empirical approach and have developed a mixture function which fits a blend of black and white solution-dyed acrylic fibers. The accuracy of the function when applied to blends of different colors was determined by experiment. Ten blends of solution-dyed Acrilan were used as standards, and formulas for the color matches were obtained on a Colorant Mixture Computer using the new mixture function. The resultant colors differed from the standards by an average of about 5 MacAdam units. Computed adjustments to the first formulas produced much closer matches.
HUGH R. DAVIDSON and MARVIN TAYLOR, "Prediction of the Color of Fiber Blends," J. Opt. Soc. Am. 55, 96-98 (1965)