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oai:docta.ucm.es:20.500.14352/602762023-08-25T16:08:22Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Carreño Sánchez, Fernando author Zoido Chamorro, Jesús Manuel author 1999-01-01 By assuming that color matches are normally distributed in XYZ space, we present a rigorous statistical technique to obtain regions of equally noticeable chromaticity differences. The probability density function of color matches in (x, y, Y) space is calculated according to standard techniques in probability theory. The geometry of the chromaticity thresholds is computed for various confidence levels α. Because of the asymmetry of the probability density function in (x, y, Y) space, the chromaticity thresholds are not symmetrical around the color center. The asymmetries depend on the color center, and they increase when high confidence levels (α < 0.32) are considered. It is our opinion that the technique proposed here can provide a useful tool for checking and evaluating deviations from the elliptic geometry of the chromaticity thresholds. It is formally demonstrated that regions of equally noticeable chromaticity differences are not ellipses when the normality hypothesis is assumed in XYZ space. 1559-128X 10.1364/AO.38.000208 https://hdl.handle.net/20.500.14352/60276 https://doi.org/10.1364/AO.38.000208 https://www.osapublishing.org/ao/abstract.cfm?uri=ao-38-1-208#Abstract Statistics of color-matching experimental data