Calculation of Correlated Color Temperature and Color Deviation of Light Source Based on Hybrid Polynomial Method

Cheng Gao; Yue Li; Changjun Li

doi:10.3788/AOS202242.0533003

Acta Optica Sinica, Volume. 42, Issue 5, 0533003(2022)

Calculation of Correlated Color Temperature and Color Deviation of Light Source Based on Hybrid Polynomial Method

Cheng Gao^1,2, Yue Li², and Changjun Li^2、*

¹School of Electronic and Information Engineering, University of Science and Technology LiaoNing, Anshan, Liaoning 114051, China

²School 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. Illustration diagram for Ohno algorithm

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Fig. 2. Performance comparison of three methods based on equidistant sampling points with D_uv between -0.03 and 0.03 on isotemperature line with T=1250 K

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Fig. 3. Histograms of |ΔT| distribution for three methods

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Fig. 4. Points in |ΔT|>0.0870 K predicted by three methods in u-v space

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Fig. 5. Histograms of |ΔD_uv| for proposed and Ohno methods

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Fig. 6. Points with |ΔD_uv|>2.8470×10^-7 predicted by proposed and Ohno methods in u-v space

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Table 1. Lookup table created when u_t=0.2193, v_t=0.3271

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Table 1. Lookup table created when u_t=0.2193, v_t=0.3271

T_i /K	u(T_i)	v(T_i)	d(T_i)	i
1000.00	0.4480	0.3546	0.2304	1
1010.00	0.4457	0.3548	0.2281	2
︙	︙	︙	︙	︙
4404.38	0.2186	0.3295	0.0025	m-1
4448.42	0.2180	0.3290	0.0023	m
4492.91	0.2174	0.3285	0.0024	m+1
4537.84	0.2168	0.3280	0.0027	m+2
︙	︙	︙	︙	︙
19986.35	0.1839	0.2771	0.0613	302
20186.21	0.1838	0.2769	0.0614	303

Table 2. Accuracy comparison between proposed method and existing methods in terms of mean, median, and maximum values of |ΔT|unit: K
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Table 2. Accuracy comparison between proposed method and existing methods in terms of mean, median, and maximum values of |ΔT|unit: K
Method Meanvalue Medianvalue Maximumvalue
Robertson 0.3347 0.0869 2.3804
Ohno 0.2006 0.1367 1.2484
Proposed 0.0347 0.0151 0.3858

Table 3. Accuracy comparison between proposed method and Ohno method in terms of mean, median, and maximum values of absolute difference of D_uv
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Table 3. Accuracy comparison between proposed method and Ohno method in terms of mean, median, and maximum values of absolute difference of D_uv
Method Mean Median Maximum
Ohno 0.2322 0.0394 4.7102
Proposed 0.0672 6.2×10^-8 3.3296

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Cheng Gao, Yue Li, Changjun Li. Calculation of Correlated Color Temperature and Color Deviation of Light Source Based on Hybrid Polynomial Method[J]. Acta Optica Sinica, 2022, 42(5): 0533003

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Paper Information

Category: Vision, Color, and Visual Optics

Received: Aug. 24, 2021

Accepted: Sep. 26, 2021

Published Online: Mar. 8, 2022

The Author Email: Li Changjun (cjliustl@sina.com)

DOI:10.3788/AOS202242.0533003

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Lookup table created when u_t=0.2193, v_t=0.3271

Table 1. Lookup table created when u_t=0.2193, v_t=0.3271

Table 2. Accuracy comparison between proposed method and existing methods in terms of mean, median, and maximum values of |ΔT|unit: K

Table 2. Accuracy comparison between proposed method and existing methods in terms of mean, median, and maximum values of |ΔT|unit: K

Table 3. Accuracy comparison between proposed method and Ohno method in terms of mean, median, and maximum values of absolute difference of D_uv

Table 3. Accuracy comparison between proposed method and Ohno method in terms of mean, median, and maximum values of absolute difference of D_uv

Table 1. Lookup table created when ut=0.2193, vt=0.3271

Table 1. Lookup table created when ut=0.2193, vt=0.3271

Table 2. Accuracy comparison between proposed method and existing methods in terms of mean, median, and maximum values of |ΔT|unit: K

Table 2. Accuracy comparison between proposed method and existing methods in terms of mean, median, and maximum values of |ΔT|unit: K

Table 3. Accuracy comparison between proposed method and Ohno method in terms of mean, median, and maximum values of absolute difference of Duv

Table 3. Accuracy comparison between proposed method and Ohno method in terms of mean, median, and maximum values of absolute difference of Duv

Table 1. Lookup table created when u_t=0.2193, v_t=0.3271

Table 1. Lookup table created when u_t=0.2193, v_t=0.3271

Table 3. Accuracy comparison between proposed method and Ohno method in terms of mean, median, and maximum values of absolute difference of D_uv

Table 3. Accuracy comparison between proposed method and Ohno method in terms of mean, median, and maximum values of absolute difference of D_uv