The second set of chromatic statistics aimed to capture the hues present in the images. To quantify the hue, the MacLeod Boynton chromaticity diagram was divided into 8 radial hue segments centered on equal energy white (see
Figure 2c), and for each image we computed the percentage of pixels that belonged to each hue segment and the mean saturation of the pixels in each hue segment. Pixels with a very low saturation (<0.05) were filtered out to prevent a large number of off-white pixels on one or the other side of the chosen white point being arbitrarily assigned to a particular hue bin. No published studies have investigated the relationship between these hue measures and adult preferences; yet, as hue is an important perceptual dimension of color (
Burns & Shepp, 1988), we felt that it warranted investigation. The third set of chromatic image statistics aimed to capture the extent to which the chromaticities of the pixels form a distribution that aligns with the chromatic distributions typically found in natural scenes, which are elongated along an oblique axis in the MacLeod Boynton chromaticity diagram roughly between unique blue and unique yellow and close to the locus of natural daylights (e.g.,
Bosten et al., 2015;
Mollon, 2006). One prior study has found that adult preference peaks for Mondrian stimuli that vary in their chromaticity along this “blue-yellow” axis compared to other color axes (
Juricevic, Land, Wilkins, & Webster, 2010). To compute these measures, standard deviation ellipses were fit to the chromaticity distribution of the pixels in each image, in a version of the MacLeod-Boynton chromaticity diagram where the variances along the x and y axes were each normalized (
Bosten et al., 2015). In this space, any ellipse with a major axis oriented along the negative diagonal is biased in roughly a blue-yellow direction. We calculated the log of the ratio of the length of the ellipse axis oriented along the negative diagonal (called the “natural chromatic axis” hereafter, see
Figure 2d) and the length of the ellipse's orthogonal axis. This is a measure of the extent to which the chromaticity distribution is elongated along the natural chromatic axis (we term this measure “natural chromatic elongation,”
Bosten et al. (2015) referred to this as the “axis ratio”). A value of 0 indicates that the pixels form a circular distribution in the color space with no bias in any particular direction, and positive values indicates greater elongation along the natural chromatic axis than its orthogonal one, whilst negative values indicate greater elongation along the orthogonal axis than the natural chromatic axis. We also computed the angle of the major axis of the ellipse in the original un-normalized version of the MacLeod Boynton chromaticity diagram (without variances normalized along the x- and y-axes—
Bosten et al. (2015) referred to this as the “ellipse angle”), because this angle also relates to the “naturalness” of the color distribution.