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A flaw in equations for predicting chromatic differences
Author(s) -
Boynton Robert M.,
Nagy Allen L.,
Olson Conrad X.
Publication year - 1983
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.5080080203
Subject(s) - chromatic scale , chromaticity , square root , mathematics , color difference , statistics , square (algebra) , mathematical analysis , geometry , computer science , artificial intelligence , combinatorics , enhanced data rates for gsm evolution
Many formulas for predicting perceived color differences require that three terms be squared prior to the extraction of the square root of their sums. Two of these terms relate to chromatic differences measured along tritan and red‐green axes. The root‐mean‐square calculational procedure predicts that the relative directions of simultaneous chromaticity changes along these principal axes should not affect the perceived color difference. Experimental data are presented which strongly disconfirm this prediction.