Differential color thresholds from metameric matches: experimental results concerning failures of colorimetric additivity

E. Hita; L. Jiménez del Barco; J. Romero

doi:10.1364/JOSAA.3.001203

Journal of the Optical Society of America A
Vol. 3,
Issue 8,
pp. 1203-1209
(1986)
•https://doi.org/10.1364/JOSAA.3.001203

Differential color thresholds from metameric matches: experimental results concerning failures of colorimetric additivity

E. Hita, L. Jiménez del Barco, and J. Romero

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E. Hita, L. Jiménez del Barco, and J. Romero, "Differential color thresholds from metameric matches: experimental results concerning failures of colorimetric additivity," J. Opt. Soc. Am. A 3, 1203-1209 (1986)

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Abstract

The differential chromaticity thresholds obtained by varying degrees of metamerism have been evaluated for five target chromaticities. Differences have been found between the chromaticities predicted by the CIE-1931 standard observer and those actually observed under our experimental conditions, with foveal fields of 3°, luminance within the low photopic level, and sets of primary colors produced by filters of differing spectral bandwidths. Failures of colorimetric additivity under these experimental conditions are discussed. The results have also been analyzed by using other sets of color-matching functions, i.e., Judd’s proposed modification at short wavelengths and also the supplementary standard observer, CIE-1964.

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Stimulus	x	y	Initial Matches^a
Blue	0.180	0.109	Isom., M-I, M-II, M-IV
Purple	0.336	0.165	Isom., M-I, M-II, M-IV
Reddish-orange	0.565	0.321	Isom., M-I, M-II, M-III
Yellow	0.493	0.439	Isom., M-II, M-III, M-IV
Yellowish-green	0.297	0.490	Isom., M-II, M-IV, M-V

Stimulus	Observer	Matching	Center		Area (× 10⁻⁴)	Orientation (deg)	Relation of Semiaxes
Stimulus	Observer	Matching	x	y	Area (× 10⁻⁴)	Orientation (deg)	Relation of Semiaxes
Blue	L.J.	Isom.	0.178	0.114	1.12	74.4	0.38
		M-I	0.181	0.142	0.80	63.0	0.27
		M-II	0.180	0.136	.28	0.29
		M-IV	0.185	0.109	0.76	56.2	0.42
	J.R.	Isom.	0.177	0.112	1.30	75.5	0.32
		M-I	0.181	0.142	1.25	64.4	0.22
		M-II	0.179	0.135	0.28	70.7	0.14
		M-IV	0.176	0.103	0.41	66.3	0.36
	E.H.	M-I	0.180	0.142	0.86	63.9	0.26
Purple	L.J.	Isom.	0.329	0.166	1.20	39.4	0.13
		M-I	0.357	0.185	1.52	26.3	0.23
		M-II	0.344	0.183	0.90	23.0	0.39
		M-IV	0.385	0.186	1.50	25.2	0.25
	J.R.	Isom.	0.328	0.164	2.80	38.7	0.22
		M-I	0.358	0.186	2.07	26.4	0.29
		M-II	0.344	0.183	2.08	19.5	0.44
		M-IV	0.384	0.185	3.34	25.9	0.25
	E.H.	Isom.	0.327	0.165	1.97	39.3	0.20
		M-IV	0.383	0.184	1.99	25.7	0.25
Reddish-orange	L.J.	Isom.	0.559	0.330	4.18	32.0	0.28
		M-I	0.568	0.322	3.84	28.1	0.23
		M-II	0.541	0.332	2.74	32.4	0.13
		M-III	0.567	0.317	1.80	20.4	0.16
	J.R.	Isom.	0.554	0.326	6.53	35.4	0.29
		M-I	0.567	0.321	2.35	26.8	0.35
		M-II	0.532	0.324	3.88	31.3	0.20
		M-III	0.562	0.321	3.72	19.3	0.27
	E.H.	M-II	0.536	0.322	3.40	29.4	0.17
Yellow	L.J.	Isom.	0.495	0.438	3.75	50.3	0.08
		M-II	0.487	0.440	3.08	47.8	0.16
		M-III	0.491	0.437	3.30	44.2	0.25
		M-IV	0.556	0.408	3.15	39.1	0.26
	J.R.	Isom.	0.491	0.437	5.20	50.1	0.14
		M-II	0.485	0.438	3.56	47.5	0.18
		M-III	0.487	0.435	2.75	39.5	0.26
		M-IV	0.561	0.411	2.97	35.3	0.34
	E.H.	M-IV	0.548	0.411	2.82	37.6	0.30
Yellowish-green	L.J.	Isom.	0.293	0.496	6.90	77.6	0.43
		M-II	0.276	0.466	8.09	72.6	0.10
		M-IV	0.344	0.501	13.20	66.2	0.14
		M-V	0.305	0.528	5.50	66.4	0.38
	J.R.	Isom.	0.294	0.497	7.20	88.9	0.62
		M-II	0.274	0.460	4.77	73.2	0.11
		M-IV	0.343	0.519	17.60	68.0	0.08
		M-V	0.304	0.521	7.30	66.2	0.33
	E.H.	M-V	0.304	0.519	6.84	67.1	0.34

Stimulus	x	y	Initial Matches^a
Blue	0.180	0.109	Isom., M-I, M-II, M-IV
Purple	0.336	0.165	Isom., M-I, M-II, M-IV
Reddish-orange	0.565	0.321	Isom., M-I, M-II, M-III
Yellow	0.493	0.439	Isom., M-II, M-III, M-IV
Yellowish-green	0.297	0.490	Isom., M-II, M-IV, M-V

Stimulus	Observer	Matching	Center		Area (× 10⁻⁴)	Orientation (deg)	Relation of Semiaxes
Stimulus	Observer	Matching	x	y	Area (× 10⁻⁴)	Orientation (deg)	Relation of Semiaxes
Blue	L.J.	Isom.	0.178	0.114	1.12	74.4	0.38
		M-I	0.181	0.142	0.80	63.0	0.27
		M-II	0.180	0.136	.28	0.29
		M-IV	0.185	0.109	0.76	56.2	0.42
	J.R.	Isom.	0.177	0.112	1.30	75.5	0.32
		M-I	0.181	0.142	1.25	64.4	0.22
		M-II	0.179	0.135	0.28	70.7	0.14
		M-IV	0.176	0.103	0.41	66.3	0.36
	E.H.	M-I	0.180	0.142	0.86	63.9	0.26
Purple	L.J.	Isom.	0.329	0.166	1.20	39.4	0.13
		M-I	0.357	0.185	1.52	26.3	0.23
		M-II	0.344	0.183	0.90	23.0	0.39
		M-IV	0.385	0.186	1.50	25.2	0.25
	J.R.	Isom.	0.328	0.164	2.80	38.7	0.22
		M-I	0.358	0.186	2.07	26.4	0.29
		M-II	0.344	0.183	2.08	19.5	0.44
		M-IV	0.384	0.185	3.34	25.9	0.25
	E.H.	Isom.	0.327	0.165	1.97	39.3	0.20
		M-IV	0.383	0.184	1.99	25.7	0.25
Reddish-orange	L.J.	Isom.	0.559	0.330	4.18	32.0	0.28
		M-I	0.568	0.322	3.84	28.1	0.23
		M-II	0.541	0.332	2.74	32.4	0.13
		M-III	0.567	0.317	1.80	20.4	0.16
	J.R.	Isom.	0.554	0.326	6.53	35.4	0.29
		M-I	0.567	0.321	2.35	26.8	0.35
		M-II	0.532	0.324	3.88	31.3	0.20
		M-III	0.562	0.321	3.72	19.3	0.27
	E.H.	M-II	0.536	0.322	3.40	29.4	0.17
Yellow	L.J.	Isom.	0.495	0.438	3.75	50.3	0.08
		M-II	0.487	0.440	3.08	47.8	0.16
		M-III	0.491	0.437	3.30	44.2	0.25
		M-IV	0.556	0.408	3.15	39.1	0.26
	J.R.	Isom.	0.491	0.437	5.20	50.1	0.14
		M-II	0.485	0.438	3.56	47.5	0.18
		M-III	0.487	0.435	2.75	39.5	0.26
		M-IV	0.561	0.411	2.97	35.3	0.34
	E.H.	M-IV	0.548	0.411	2.82	37.6	0.30
Yellowish-green	L.J.	Isom.	0.293	0.496	6.90	77.6	0.43
		M-II	0.276	0.466	8.09	72.6	0.10
		M-IV	0.344	0.501	13.20	66.2	0.14
		M-V	0.305	0.528	5.50	66.4	0.38
	J.R.	Isom.	0.294	0.497	7.20	88.9	0.62
		M-II	0.274	0.460	4.77	73.2	0.11
		M-IV	0.343	0.519	17.60	68.0	0.08
		M-V	0.304	0.521	7.30	66.2	0.33
	E.H.	M-V	0.304	0.519	6.84	67.1	0.34

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Journal of the Optical Society of America A