A Comparative Study of Derivative Spectrophotometric Techniques for Prediction of Colorant's Concentration in Dyed Textiles

In this paper various derivative spectrophotometric methods including zero-crossing, peak to peak, peak to zero, and ratio derivative are used to determine dye concentration in colored fabric, which is dyed with ternary mixture of dyes. The experimental and theoretical comparisons of methods are done by using relative error of dye concentrations prediction. The relative error in normal kubelka-munk, peak to peak, peak to zero, and ratio derivative methods are 0.288, 0.257, 0.29, 0.22, 0.143, respectively. As obtained results indicated, the performance and accuracy of ratio derivative method is better than other derivative techniques and normal kubelka-munk method.