Performance of CIE 2006 Color Matching Functions in Different Fields of View

Yu Wang; Min Huang; Yu Li; Xinyuan Gao; Yuetong Shen; Jiong Liang

doi:10.3788/AOS222010

Acta Optica Sinica, Volume. 43, Issue 11, 1133001(2023)

Performance of CIE 2006 Color Matching Functions in Different Fields of View

Yu Wang, Min Huang^*, Yu Li, Xinyuan Gao, Yuetong Shen, and Jiong Liang

Author Affiliations

School of Printing and Packaging Engineering, Beijing Institute of Graphic Communication, Beijing 102600, China

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Figures & Tables(12)

Fig. 1. Spectral power distribution of LED panel primary colors

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Fig. 2. Diagram of experimental equipments

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Fig. 3. Spectral cone response of CIE CMFs in different FOVs. (a) Six CIE 2006 CMFs; (b) four CIE CMFs

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Fig. 4. Accuracies of color matching by the all the observers using CIE CMFs in different field of views

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Fig. 5. Target and matched u′ and v′ chromaticity values calculated by CIE 2006 3° and CIE 2006 10° CMFs. (a) Mean; (b) L2; (c) L4

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Fig. 6. Observer variability ellipses from CIE 2006 CMFs. (a) CIE 2006 2°; (b) CIE 2006 3°

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Fig. 7. Observer variability obtained by using different CIE CMFs in different FOVs

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Fig. 8. Observer variability obtained by using different CIE CMFs in different color stimuli

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Table 1. Colorimetric characteristics of three reference stimuli calculated by CIE 1964 10° CMFs
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Table 1. Colorimetric characteristics of three reference stimuli calculated by CIE 1964 10° CMFs
Stimulus Y₁₀ x₁₀ y₁₀ $u_{10}^{'}$ $v_{10}^{'}$
White 100.0 0.347 0.356 0.211 0.487
Red 14.2 0.513 0.352 0.331 0.511
Blue 8.0 0.219 0.201 0.176 0.363

Table 2. Observer variations in different primary sets

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Table 2. Observer variations in different primary sets

Observer-variation	$Δ (u_{}^{'}, v_{}^{'})$	L2				L4
Observer-variation	$Δ (u_{}^{'}, v_{}^{'})$	2.9°	5.7°	8.6°	11.0°	2.9°	5.7°	8.6°	11.0°
Intra- observer	Maximum	0.0158	0.0127	0.0146	0.0112	0.0119	0.0178	0.0126	0.0152
	Minimum	0.0002	0.0001	0.0003	0.0001	0.0001	0.0003	0.0001	0.0001
	Mean	0.0042	0.0037	0.0042	0.0036	0.0044	0.0039	0.0040	0.0038
Inter- observer	Maximum	0.0255	0.0332	0.0264	0.0317	0.0297	0.0297	0.0333	0.0298
	Minimum	0.0004	0.0004	0.0003	0.0005	0.0005	0.0001	0.0003	0.0008
	Mean	0.0069	0.0069	0.0076	0.0074	0.0087	0.0082	0.0082	0.0084

Table 3. Matching accuracy of different color stimuli calculated by CIE CMFs

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Table 3. Matching accuracy of different color stimuli calculated by CIE CMFs

Color	FOV / （°）	CIE 1931	CIE 1964	CIE 2006 1°（21）	CIE 2006 2°（21）	CIE 2006 3°（21）	CIE 2006 4°（21）	CIE 2006 5°（21）	CIE 2006 6°（21）	CIE 2006 7°（21）	CIE 2006 8°（21）	CIE 2006 9°（21）	CIE 2006 10°（21）
White	2.9	0.0096	0.0094	0.0073	0.0063	0.0066	0.0072	0.0080	0.0087	0.0093	0.0098	0.0103	0.0107
	5.7	0.0116	0.0077	0.0088	0.0065	0.0057	0.0058	0.0061	0.0066	0.0071	0.0076	0.0081	0.0085
	8.6	0.0118	0.0072	0.0090	0.0067	0.0059	0.0057	0.0058	0.0062	0.0065	0.0070	0.0074	0.0078
	11.0	0.0122	0.0072	0.0093	0.0071	0.0062	0.0059	0.0059	0.0062	0.0066	0.0070	0.0074	0.0078
Red	2.9	0.0098	0.0086	0.0094	0.0077	0.0075	0.0077	0.0079	0.0083	0.0085	0.0089	0.0091	0.0093
	5.7	0.0124	0.0082	0.0118	0.0092	0.0084	0.0081	0.0080	0.0080	0.0081	0.0083	0.0084	0.0085
	8.6	0.0122	0.0077	0.0116	0.0090	0.0081	0.0077	0.0076	0.0076	0.0076	0.0078	0.0079	0.0080
	11.0	0.0126	0.0077	0.0119	0.0094	0.0084	0.0080	0.0077	0.0076	0.0076	0.0077	0.0077	0.0078
Blue	2.9	0.0165	0.0233	0.0132	0.0145	0.0168	0.0193	0.0216	0.0235	0.0252	0.0264	0.0277	0.0288
	5.7	0.0203	0.0179	0.0139	0.0119	0.0123	0.0138	0.0159	0.0179	0.0196	0.0210	0.0223	0.0235
	8.6	0.0226	0.0177	0.0160	0.0130	0.0127	0.0140	0.0159	0.0178	0.0195	0.0209	0.0222	0.0234
	11.0	0.0224	0.0176	0.0160	0.0132	0.0130	0.0139	0.0158	0.0177	0.0194	0.0207	0.0221	0.0232

Table 4. Performance of CIE 2006 CMFs using different FOVs

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Table 4. Performance of CIE 2006 CMFs using different FOVs

CMFs	L1	L2（R）	L3（G）	L4（B）	L5 （G+B）	L6 （R+B）	L7 （R+G）	Mean（6）	Mean（3）
CIE 2006 1°（22）	0.0044	0.0085	0.0111	0.0083	0.0151	0.0129	0.0179	0.0112	0.0094
CIE 2006 2°（22）	0.0042	0.0062	0.0075	0.0065	0.0099	0.0084	0.0101	0.0075	0.0067
CIE 2006 3°（22）	0.0042	0.0054	0.0061	0.0058	0.0080	0.0070	0.0076	0.0063	0.0057
CIE 2006 4°（22）	0.0042	0.0051	0.0060	0.0059	0.0080	0.0070	0.0073	0.0062	0.0056
CIE 2006 5°（22）	0.0042	0.0050	0.0064	0.0064	0.0090	0.0075	0.0079	0.0066	0.0059
CIE 2006 6°（22）	0.0043	0.0049	0.0071	0.0072	0.0104	0.0083	0.0086	0.0073	0.0064
CIE 2006 7°（22）	0.0043	0.0049	0.0079	0.0079	0.0118	0.0090	0.0093	0.0079	0.0069
CIE 2006 8°（22）	0.0043	0.0049	0.0086	0.0086	0.0132	0.0097	0.0100	0.0085	0.0074
CIE 2006 9°（22）	0.0043	0.0049	0.0093	0.0093	0.0145	0.0104	0.0106	0.0090	0.0078
CIE 2006 10°（22）	0.0043	0.0049	0.0099	0.0099	0.0156	0.0110	0.0112	0.0095	0.0082

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Yu Wang, Min Huang, Yu Li, Xinyuan Gao, Yuetong Shen, Jiong Liang. Performance of CIE 2006 Color Matching Functions in Different Fields of View[J]. Acta Optica Sinica, 2023, 43(11): 1133001

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