The Solution to the Problem of Evaluation of Parameters of the Mathematical Model of Color Reproduction for Display with Maximal Gamut Based of Spectrum Locus Interpolation

I. O. Zharinov, Associate Professor, Chief of Department, e-mail: igor_rabota@pisem.net, Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (University ITMO), Chief of Learning-Scientists Center, SPb Scientific Design Bureau "Electroavtomatica" n. a. P. A. Efimov, O. O. Zharinov, Associate Professor, Saint Petersburg State University of Aerospace Equipment

The problem and methods for its solution for estimation of parameters of the mathematical model of color reproduction, which are suitable for LCD and LED displays with maximum gamut, were considered. The technique is based on interpolation of the given spectrum locus on the XY-plane and the subsequent calculation of the chromaticity coordinates of the vertices of the color gamut triangle, inscribed in the color locus and having the maximum possible area. Estimation of parameters of the mathematical model of color reproduction of the display was performed on the basis of the solution of the system of equations, the initial data for which are the chromaticity coordinates of the vertices of the color gamut triangle with maximum area and the chromaticity coordinates of the white point of the given display unit. There three ways for interpolation of the spectrum gamut were developed and tested: first technique, based on interpolation in the space of color coordinates; second one, based on the interpolation in the space of chromaticity coordinates; and third technique, based on the interpolation of the spectral locus as some tabular curve having its specific shape. There numerical values were obtained for profiles of displays, with a maximum possible area of the color gamut triangle, corresponding to the colorimetric standards D-75, D-65, D-55, D-50.

Keywords: colorimetric standard, spectrum locus, chromaticity coordinates, interpolation, Bezier curve, gamut triangle, display

pp. 19–30