Statistical Analysis for the Development of a Mathematical Model for Liquid Phase Color Reproduction

Abstract

Abstract - This study aims to develop a mathematical model, capable to give a receipt of the dies concentrations to be used to develop a desire color. The model helps to minimize, and in some cases eliminate, the trial and error technique. This study investigates the effect of the color coordinates vector such as L, a and b in order to evaluate if there exist a correlation by using the FD&C dies such as FD&C Yellow 5 FD&C Yellow 6, FD&C Blue 1 and FD&C Red 40. A 2k factorial experiment was performed, to identify those dies that have a significant effect within the color coordinates. Results obtained revealed that of the four FD&C studied, three of them have significant effect within the color coordinates. The FD&C dies used, showed a significant effect when is used alone or when are mixed. A correlation of the color coordinates and the factors was found. Three linear formulas were obtained from the L, a, and b vectors. Those formulas were introduced in a matrix model to developing or matching colors. Key Terms -Color space (L, a and B)[4], Lightness (L), a (position of green red axis), b (position of blue-yellow axis).