A General Geometrical Model for Predicting Color Mixing of Woven Fabrics from Colored Warp and Filling Yarns

Despite the advances in woven fabrics, CAD systems, and weaving technologies, the process of weave/color selection for each area of a Jacquard pattern still requires the intervention of the CAD system operator and/or designer, who works from color gamut. Relying on the designer subjective assessment, multiple weaving trials may be needed to produce a fabric that matches the target artwork or sample. In this paper, a general geometric model is provided to predict the color contribution of warp and filling yarns of a given woven fabric in terms of warp and pick densities, warp and filling yarns sizes, weave, size of the color repeat of warp and filling yarns, and the number of yarns of different colors. Such geometrical modeling, combined with sound existing color mixing equations, paves the road for the automation of the process of weaves and color selection and thus dramatically reduces the production cycle.