Spherical Model of Color and Brightness Discrimination

Abstract

The most important problem confronting color science is the construction of a uniform color space, i.e., a geometrical model of color discrimination in which Euclidean distances between the points representing colors are proportional to perceived color differences. The traditional approach to the construction of a metric color space is based on the integration of just-noticeable color differences (Wyszecki & Stiles, 1982). Experimental data show, however, that the integral of just-noticeable differences between colors does not coincide with direct estimations of the subjective differences between the colors (Judd, 1967; Izmailov, 1980). We suggest another way to construct a uniform color space, namely, to analyze large color differences by multidimensional scaling. This paper reports three groups of experimental data of the measurement of large color differences. Based on these data, we suggest a new color space model taking into account nontraditional relations between threshold and suprathreshold differences. The first group of data includes the results of research on color discrimination for a set of equibright monochromatic lights. The second group includes data on the discrimination of achromatic light stimuli resulting from different relations between test and background luminances. The third group consists of results of color-naming classification of lights varying in chromaticity and brightness. Chromatic differences between spectral stimuli of equal brightness, varying in hue and saturation, and differences in brightness between achromatic lights varying in luminance were analyzed separately. The results are compared with a general color space of colors of different hue, saturation, and brightness. The color spaces were constructed by the same multidimensional scaling technique. An important advantage of multidimensional scaling is that it offers the possibility of finding the dimensionality of a color space directly from experimental data, as we demonstrate for the analysis of color discrimination data for equibright stimuli.