Research on colored yarns for a full color phase mixing model and the Stearns–Noechel color prediction approach

Using the binary coupled mixing algorithm as the foundation, the full color phase mixing mode of six primary colored fibers is proposed, a full color phase mixing model containing 60 grid points is established, and the corresponding color mixing chromatography is provided. Inside the construction of the full color phase mixing model, 30 grid points are chosen in a gradient of 20%, and 30 colored yarns of six color systems are spun according to the mixing ratios of the binary primary colored fibers corresponding to the grid points. Taking 30 colored yarns as samples, the approach of determining the reflectance conversion coefficient ( M value) with the spectral wavelength and the mixing ratios of binary primary colored fibers as independent variables is derived by the Stearns–Noechel algorithm; a method for predicting the colors of fabrics by the mixing ratios of fibers and predicting the mixing ratios of fibers by the colors of fabrics is proposed. It is demonstrated that the reflectance conversion coefficient in the Stearns–Noechel color prediction equation is related to both the spectral wavelength and the mixing ratios of the primary colored fibers; the colors of the forming yarns can be forecasted using the mixing ratios of the primary colored fibers in the full color phase mixing model, and the mixing ratios of the primary colored fibers in the model can also be predicted by the colors of the yarns.