Spectral Analysis and Extension of Applicability Limit of Fundamental Color Stimulus Space for Textile Dyeing

At the present study، the fundamental color stimulus space (N*) obtained from the Cohen and Kappauf decomposition technique as an alternative to the measured spectral reflectance (N) was investigated. Based on the single-constant Kubelka-Munk theory،the (K/S) * space from the non-linear transformation of N* values was obtained and its consistency with (K/S) space taken from the measured reflectance was spectrally analyzed. The scalability for both spectral spaces was quantitatively evaluated in different concentrations through visible spectrum. The suitable wavelengths that (K/S) * still exhibit linear behavior with concentration variation were introduced. The obtained results showed that the non-linear transformation of fundamental color stimulus space، i. e. (K/S) * is more scalable. At the proposed avelengths، the applicability limit of (K/S) * similar to the (K/S) is improved till the higher dye concentration and the obtained linearity for (K/S) * could be an proposed approach for the study of dyeing systems such as estimating the concentration from tristimulus values as colorimetry data. J. Color Sci. Tech. 6 (2012)، 41-50© Institute for Color Science and Technology.