José A. Garcia, Javier Romero, Luis Jiménez del Barco, and Enrique Hita, "Improved formula for evaluating color-differential thresholds," Appl. Opt. 31, 6292-6298 (1992)
A new group of color-difference formulas is proposed that gives better results than the previous formulas supplied by Romero et al. [Appl. Opt. 28, 4697–4702 (1989)]. The new formulas are deduced from chromatic discrimination data and behave more consistently at the boundaries between regions of similar hue in the CIE-1931 diagram. They also fit well with experimental color-difference data.
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Number of Points Used to Obtain the Previous (cdf-G*) and the New (cdf-G**) Color-Difference Formulas in the Different Regions of the Chromaticity Diagram
Region
cdf-G*
cdf-G**
Blue
74
96
Green
258
277
Orange
28
44
Red
118
139
Achromatic
62
96
Table 4
Comparisons between the Data Provided by MacAdama and the Results of the New Color-Difference Formulas (cdf-G**) in the Different Regions of the Chromatic Diagramb
Region
Formula
〈e12〉1/2
〈d1〉
Blue [20]
cdf-BB
0.187
0.147
(0.202)
(0.134)
Green [28]
cdf-GG
0.310
0.165
(0.185)
(0.112)
Orange [20]
cdf-OO
0.020
0.015
(0.015)
(0.011)
Red [28]
cdf-RR
0.093
0.065
(0.077)
(0.049)
Achromatic [16]
cdf-AA
0.133
0.109
(0.111)
(0.095)
Ref. 8.
In brackets are the numbers of equally spaced points employed in the comparison. In parentheses are the results for the corresponding comparisons by Romero et al.1 with the previous color-difference formulas (cdf-G*).
Table 5
Results of Comparisons of the Experimental Data Provided by Various Authors with the Predictions by the New Color-Difference Formulasa
Number of Points Used to Obtain the Previous (cdf-G*) and the New (cdf-G**) Color-Difference Formulas in the Different Regions of the Chromaticity Diagram
Region
cdf-G*
cdf-G**
Blue
74
96
Green
258
277
Orange
28
44
Red
118
139
Achromatic
62
96
Table 4
Comparisons between the Data Provided by MacAdama and the Results of the New Color-Difference Formulas (cdf-G**) in the Different Regions of the Chromatic Diagramb
Region
Formula
〈e12〉1/2
〈d1〉
Blue [20]
cdf-BB
0.187
0.147
(0.202)
(0.134)
Green [28]
cdf-GG
0.310
0.165
(0.185)
(0.112)
Orange [20]
cdf-OO
0.020
0.015
(0.015)
(0.011)
Red [28]
cdf-RR
0.093
0.065
(0.077)
(0.049)
Achromatic [16]
cdf-AA
0.133
0.109
(0.111)
(0.095)
Ref. 8.
In brackets are the numbers of equally spaced points employed in the comparison. In parentheses are the results for the corresponding comparisons by Romero et al.1 with the previous color-difference formulas (cdf-G*).
Table 5
Results of Comparisons of the Experimental Data Provided by Various Authors with the Predictions by the New Color-Difference Formulasa