CIE self-luminous gray-scale calculation: inflections, parameters, and high-contrast limiting behavior

Wide generalizability of the CIE-recommended gray-scale calculation for self-luminous devices suggests that its parameters, the extrema of the calculation's derivatives, and its limiting behavior are fundamental. The calculation has a negative-contrast point of inflection that is not predicted by any other gray-scale calculation, but that is consistent with data and with the terrestrial luminance histogram. The parameters of the calculation are analyzed, and their significance is explained. High-positive-contrast behavior of the calculation is shown and related to scientific literature. This knowledge represents a clearer understanding of daylight suprathreshold vision, and it enables optimal luminance-coding of contemporary high-resolution, high-contrast, high-luminance displays.