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Prediction of observer variation in estimating colorimetric values
Author(s) -
Takahama Kotaro,
Sobagaki Hiroaki,
Nayatani Yoshinobu
Publication year - 1985
Publication title -
color research and application
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.393
H-Index - 62
eISSN - 1520-6378
pISSN - 0361-2317
DOI - 10.1002/col.5080100209
Subject(s) - standard illuminant , chromaticity , mathematics , observer (physics) , standard deviation , ellipse , cross ratio , confidence interval , statistics , artificial intelligence , computer science , geometry , physics , quantum mechanics , pure mathematics
This article describes a method for computing easily the contribution of observer variation to colorimetric values. Stiles's 20 observers are used for representing color‐normal observers. Deviation functions are derived by applying singular‐decomposition analysis to their 20 color‐matching functions. It is shown that variances and covariances of the 20 color‐matching functions are estimated correctly by using the four deviation functions with high contribution factors. By using these deviation functions, a method is developed to derive the confidence ellipsoid of tristimulus values, the confidence ellipse of chromaticity coordinates, and the confidence interval of tristimulus value Y, in the colorimetric computations of a reflecting sample and an illuminant. With a slight modification, the method also can be used to predict the degree of mismatch found by color‐normal observers for pairs of reflecting samples that are a metameric match with respect to the average observer and a standard illuminant.