Evaluation of color-discrimination ellipsoids in two-color spaces

Javier Romero; José A. García; Luis Jiménez del Barco; E. Hita

doi:10.1364/JOSAA.10.000827

Journal of the Optical Society of America A
Vol. 10,
Issue 5,
pp. 827-837
(1993)
•https://doi.org/10.1364/JOSAA.10.000827

Evaluation of color-discrimination ellipsoids in two-color spaces

Javier Romero, José A. García, Luis Jiménez del Barco, and E. Hita

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Javier Romero, José A. García, Luis Jiménez del Barco, and E. Hita, "Evaluation of color-discrimination ellipsoids in two-color spaces," J. Opt. Soc. Am. A 10, 827-837 (1993)

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Abstract

We obtained the color-differential thresholds for 20 stimuli and 3 observers within 2 color-representation spaces. First, in the CIE-1931 color space we compare the results of our experiments, which followed chromatic-discrimination criteria, with those obtained by other authors that followed color-matching criteria. Second, the representation of our data in the cone-excitation space shows that all the discrimination ellipses are nearly oriented along the S-cone-variation axis. In our experiments the variations in the threshold of each color channel according to its level of excitation are similar to those found by other authors using different experimental conditions and methods, but certain discrepancies appear when the influence that one color channel may exert on the other is analyzed. The characteristics of luminance discrimination are shown to be independent of the chromaticity of the stimuli.

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Observer	Ratio of Semiaxes	Orientation (deg)	Area × 10⁴	$Log \frac{Δ L}{L}$
AG	0.32	62.73	9.14	−0.901
EG	0.36	59.38	9.82	−0.838
JA	0.37	60.77	4.16	−1.056
JR	0.26	64.00	4.97	−1.065
LJ	0.27	62.25	4.39	−1.118
MM	0.32	67.99	12.51	−0.820
PL	0.33	63.62	3.57	−1.111
TL	0.46	71.41	6.37	−0.895

Stimulus	Observer	Ratio of Semiaxes	Orientation (deg)	Area × 10⁴	$Log \frac{Δ L}{L}$
1	EG	0.39	27.36	4.52	−0.736
x = 0.356	JA	0.35	31.54	2.53	−0.891
y = 0.155	PL	0.24	33.16	2.29	−0.867
2	EG	0.38	30.55	6.00	−0.808
x = 0.446	JA	0.30	34.28	3.89	−0.957
y = 0.232	PL	0.35	32.75	3.39	−0.936
3	EG	0.56	16.68	4.48	−0.885
x = 0.501	JA	0.49	20.26	3.22	−0.969
y = 0.279	PL	0.70	21.08	2.16	−1.002
4	EG	0.57	31.98	7.40	−0.814
x = 0.569	JA	0.57	1.77	2.56	−0.959
y = 0.155	PL	0.57	26.26	3.47	−0.971
5	EG	0.30	48.88	2.62	−0.992
x = 0.291	JA	0.33	46.37	2.01	−1.046
y = 0.170	PL	0.33	45.59	2.95	−0.972
6	EG	0.37	49.26	8.11	−0.925
x = 0.357	JA	0.43	47.10	4.12	−1.098
y = 0.269	PL	0.37	49.85	5.40	−0.969
7	EG	0.68	50.14	6.28	−0.918
x = 0.402	JA	0.59	58.12	3.77	−1.049
y = 0.335	PL	0.41	52.60	4.77	−1.096
8	EG	0.82	43.13	8.94	−0.833
x = 0.464	JA	0.75	37.36	5.38	−1.011
y = 0.426	PL	0.53	50.86	5.59	−1.043
9	EG	0.32	59.41	3.23	−0.953
x = 0.248	JA	0.42	59.34	1.64	−1.020
y = 0.181	PL	0.31	62.86	1.79	−1.092
10	EG	0.36	59.38	9.82	−0.838
x = 0.294	JA	0.37	60.77	4.16	−1.056
y = 0.295	PL	0.33	63.62	3.57	−1.111
11	EG	0.59	59.80	7.83	−0.866
x = 0.327	JA	0.66	67.15	4.38	−0.990
y = 0.377	PL	0.49	66.32	5.39	−0.967
12	EG	0.37	70.06	10.73	−1.034
x = 0.373	JA	0.46	70.51	11.00	−1.007
y = 0.490	PL	0.35	68.09	12.70	−1.000
13	EG	0.33	70.07	2.20	−0.910
x = 0.213	JA	0.33	72.71	1.49	−1.039
y = 0.189	PL	0.30	72.94	1.32	−1.071
14	EG	0.46	77.47	5.80	−0.778
x = 0.239	JA	0.48	73.13	3.43	−0.937
y = 0.318	PL	0.48	71.34	5.02	−0.859
15	EG	0.65	91.04	12.31	−0.723
x = 0.258	JA	0.67	89.41	10.62	−0.773
y = 0.415	PL	0.58	77.71	10.35	−0.730
16	EG	0.41	84.69	28.77	−0.686
x = 0.287	JA	0.56	98.70	10.96	−0.758
y = 0.558	PL	0.36	80.78	12.79	−0.864
17	EG	0.37	88.02	3.91	−0.782
x = 0.173	JA	0.61	90.82	1.74	−0.943
y = 0.200	PL	0.37	88.39	1.47	−0.916
18	EG	0.49	104.39	12.16	−0.680
x = 0.171	JA	0.56	95.25	5.96	−0.934
j = 0.347	PL	0.61	103.37	9.29	−0.819
19	EG	0.51	122.20	19.88	−0.572
x = 0.169	JA	0.58	127.90	13.62	−0.700
y = 0.463	PL	0.59	114.02	13.68	−0.707
20	EG	0.44	103.79	32.38	−0.502
x = 0.167	JA	0.42	105.05	22.79	−0.558
y = 0.652	PL	0.39	99.52	30.08	−0.540

Stimulus	Observer	Ratio of Semiaxes	Orientation (deg)	Area	$Log \frac{Δ (L + M)}{L + M}$
1	EG	0.142	90.83	988.7	−0.869
L − 2M = 54.5	JA	0.126	90.54	496.4	−1.042
S = 373.2	PL	0.086	91.26	459.6	−1.098
2	EG	0.187	92.06	387.9	−1.019
L − 2M = 53.7	JA	0.146	91.33	239.8	−1.196
S = 167.9	PL	0.174	91.36	209.3	−1.129
3	EG	0.380	94.75	162.9	−1.079
L − 2M = 54.2	JA	0.345	95.49	116.8	−1.147
S = 95.5	PL	0.409	88.23	80.3	−1.150
4	EG	0.394	91.20	151.9	−1.015
L − 2M = 55.3	JA	0.557	107.89	53.6	−1.189
S = 33.9	PL	0.409	93.81	73.4	−1.183
5	EG	0.065	90.69	409.0	−0.954
L − 2M = 16.0	JA	0.075	90.98	317.0	−1.008
S = 376.5	PL	0.077	91.21	451.6	−1.013
6	EG	0.125	91.07	327.1	−0.921
L − 2M = 15.0	JA	0.144	91.53	167.3	−1.110
S = 169.3	PL	0.120	90.99	218.1	−0.954
7	EG	0.271	90.38	124.5	−0.876
L − 2M = 14.9	JA	0.227	88.67	79.2	−1.037
S = 94.1	PL	0.164	90.78	97.3	−1.112
8	EG	0.404	94.25	88.9	−0.821
L − 2M = 14.9	JA	0.380	95.78	54.9	−1.032
S = 32.4	PL	0.261	92.48	57.7	−1.064
9	EG	0.058	91.16	421.1	−0.977
L − 2M = −6.8	JA	0.077	90.77	209.1	−1.033
S = 374.1	PL	0.056	90.63	213.6	−1.106
10	EG	0.099	91.87	304.2	−0.881
L − 2M = −6.8	JA	0.105	91.59	122.4	−1.090
S = 164.8	PL	0.090	90.85	108.1	−1.127
11	EG	0.206	92.80	112.5	−0.894
L − 2M = −6.8	JA	0.229	91.22	69.2	−1.018
S = 94.1	PL	0.171	90.85	78.2	−0.991
12	EG	0.172	90.06	70.0	−1.082
L − 2M = −6.8	JA	0.210	90.56	72.6	−1.036
S = 32.4	PL	0.159	90.54	85.7	−1.019
13	EG	0.054	90.82	250.5	−1.013
L − 2M = −22	JA	0.053	90.47	174.1	−1.154
S = 374.1	PL	0.049	90.40	145.8	−1.181
14	EG	0.122	90.71	140.5	−0.929
L − 2M = −22	JA	0.128	91.52	80.2	−1.092
S = 164.8	PL	0.126	91.95	112.4	−0.998
15	EG	0.250	90.09	130.2	−0.844
L − 2M = −22	JA	0.240	90.84	110.0	−0.919
S = 94.1	PL	0.204	92.36	106.1	−0.888
16	EG	0.209	89.44	122.3	−0.889
L − 2M = −22	JA	0.328	89.29	47.7	−0.990
S = 32.4	PL	0.170	90.37	60.4	−1.083
17	EG	0.057	90.79	390.5	−0.974
L − 2M = −40	JA	0.097	91.00	160.4	−1.117
S = 374.1	PL	0.060	90.78	136.8	−1.157
18	EG	0.167	88.71	216.1	−0.891
L − 2M = −40	JA	0.159	91.20	103.6	−1.072
S = 164.8	PL	0.196	90.49	156.2	−0.949
19	EG	0.345	86.83	154.4	−0.800
L − 2M = −40	JA	0.371	90.26	105.5	−0.847
S = 94.1	PL	0.293	90.10	107.5	−0.891
20	EG	0.298	90.27	87.6	−0.890
L − 2M = −40	JA	0.287	89.47	62.2	−0.992
S = 32.4	PL	0.233	90.03	85.9	−0.985

			ΔS/S

Experiment	Observer	ΔL/L	S = 32 Td	S = 94 Td	S = 167 Td	S = 374 Td
Present paper	EG	0.0116	0.350	0.132	0.149	0.118
	JA	0.0093	0.235	0.111	0.109	0.084
	PL	0.0086	0.301	0.122	0.117	0.096
Boynton et al.12	RMB	0.0074	0.29
	CXO	0.014	0.34
	ALN	0.017	0.21
	GMB	0.017	0.30

Observer	Ratio of Semiaxes	Orientation (deg)	Area × 10⁴	$Log \frac{Δ L}{L}$
AG	0.32	62.73	9.14	−0.901
EG	0.36	59.38	9.82	−0.838
JA	0.37	60.77	4.16	−1.056
JR	0.26	64.00	4.97	−1.065
LJ	0.27	62.25	4.39	−1.118
MM	0.32	67.99	12.51	−0.820
PL	0.33	63.62	3.57	−1.111
TL	0.46	71.41	6.37	−0.895

Abstract

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Tables (4)

Equations (4)

Journal of the Optical Society of America A