Recipes Prediction by Matching to K/S Values Based on New Two-constant Theory

A concept of new two-constant of colorant, both (k/S_t) and (s/S_t), is introduced based on the Kubelka-Munk theory. A new two-constant theory for color matching is presented. Basic equations used in matching to K/S values are given in matrix form based on the new two-constant theory. Algorithm for a least-squares match to K/S values of a sample is developed by use of the new two-constant theory. The algorithm is suitable for single-constant theory as well as two-constant theory. The experimental data show that calculating K/S values of disperse dyes based on new two-constant theory are accordant with the measuring ones. The recipes predicted by new two-constant theory are closer to the actual recipes of the standard sample than the recipes predicted by single-constant theory. The sample according to the recipe predicted by new two-constant theory has smaller color difference against for the standard than the sample according to the recipe predicted by single-constant theory. The results show that the scattering of disperse dyes cannot be negligible, and that the recipes match to textiles colored by disperse dyes should be predicted by using of new two-constant theory.

A concept of new two-constant of colorant, both （ R/St ） and （s/St）, is introduced based on the Kubelka-Munk theory. A new two-constant theory for color matching is presented. Basic equations used in matching to K/S values are given in matrix form based on the new two-constant theory. Algorithm for a least-squares match to K/S values of a sample is developed by use of the new two-constant theory. The algorithm is suitable for single-constant theory as well as two-constant theory. The experimental data show that calculating K/S values of disperse dyes based on new two- constant theory are accordant with the measuring ones. The recipes predicted by new two-constant theory arc closer to the actual recipes of the standard sample than the recipes predicted by single-constant theory. The sample according to the recipe predicted by new two-constant theory has smaller color difference against for the standard than the sample according to the recipe predicted by single-constant theory. The results show that the scattering of disperse dyes cannot be negligible, and that the recipes match to textiles colored by disperse dyes should be predicted by using of new two-constant theory.