Calculation of Light Source Corrected Color Temperature Based on Cone Fundamental Space

Xiaowen Dong; Yang Xu; Cheng Gao; Changjun Li

doi:10.3788/AOS202242.0233001

Acta Optica Sinica, Volume. 42, Issue 2, 0233001(2022)

Calculation of Light Source Corrected Color Temperature Based on Cone Fundamental Space

Xiaowen Dong, Yang Xu^*, Cheng Gao, and Changjun Li

College of Computer Science and Software Engineering, University of Science and Technology Liaoning, Anshan, Liaoning 114051, China

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Figures & Tables(9)

Fig. 1. Distribution of blackbody locus and chromaticity coordinates of 401 SPDs in u-v plane

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Fig. 2. Distribution of chromaticity coordinates of 401 SPDs in u_c-v_c space under different scale factors. (a) Scale factor provided by formula (9); (b) scale factor provided by formula (10); (c) scale factor provided by formula (12)

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Fig. 3. CCT mapping under different scale factors. (a) Scale factor provided by formula (9); (b) scale factor provided by formula (10); (c) scale factor provided by formula (12)

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Fig. 4. Distribution of chromaticity coordinates of 401 SPDs in different coordinate spaces. (a) x_F-y_F space; (b) u_F-v_F space

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Fig. 5. CCT mapping under different coordinate spaces. (a) x_F-y_F space; (b) u_F-v_F space

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Fig. 6. Shape of spectra that produce the maximum color temperature error

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Table 1. Chromaticity coordinates based on L, M and S under different sets of scale factors
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Table 1. Chromaticity coordinates based on L, M and S under different sets of scale factors
Chromaticity coordinate Scale factor
(x_c,y_c),(u_c,v_c),(u'_c,v'_c) Formula (9)
(x_c,y_c),(u_c,v_c),(u'_c,v'_c) Formula (10)
(x_c,y_c),(u_c,v_c),(u'_c,v'_c) Formula (12)
(l,s) Formula (9)
(x_F,y_F),(u_F,v_F),(u'_F,v'_F) Formula (12)

Table 2. Summary of CCT of cone fundamental space

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Table 2. Summary of CCT of cone fundamental space

Chromaticity coordinate space	Scale factor	M_mean,1	M_median,1	M_max,1
x_c-y_c	Formula (9)	122	26	8698
	Formula (10)	195	110	2649
	Formula (12)	149	85	2060
u_c-v_c	Formula (9)	174	36	17652
	Formula (10)	102	62	1387
	Formula (12)	48	31	851
u'_c-v'_c	Formula (9)	175	36	17759
	Formula (10)	140	79	2082
	Formula (12)	68	43	936
l_c-s_c	Formula (9)	86	25	4023

Table 3. Summary of CCT after cone fundamental space transformed to XYZ space
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Table 3. Summary of CCT after cone fundamental space transformed to XYZ space
Chromaticity coordinate space Scale factor M_mean,2 M_median,2 M_max,2
x_F-y_F Formula (12) 158 94 1985
u_F-v_F Formula (12) 42 21 540
u'_F-v'_F Formula (12) 100 52 1553

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Xiaowen Dong, Yang Xu, Cheng Gao, Changjun Li. Calculation of Light Source Corrected Color Temperature Based on Cone Fundamental Space[J]. Acta Optica Sinica, 2022, 42(2): 0233001

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