Broadband Filter Selection for Multispectral Camera Based on Multi-Objective Optimization

Suixian Li

doi:10.3788/AOS202040.0411001

Acta Optica Sinica, Volume. 40, Issue 4, 0411001(2020)

Broadband Filter Selection for Multispectral Camera Based on Multi-Objective Optimization

Suixian Li^*

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Figures & Tables(6)

Fig. 1. Normalization of filter vector. (a) Original filters; (b) normalized filters

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Fig. 2. Optimal filters at 4-8 channels

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Table 1. The first 15 color filters with the best performance under 6 spectral channels

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Table 1. The first 15 color filters with the best performance under 6 spectral channels

Top	Filter No.	Score	N_Cond	U_F	P_OL	R_PSN	C_GF	x_MSE	CIEDE2000
1	403	8115	1.85	0.990	0.085	48.77	0.9994	1.04×10^-4	0.69
2	589	8001	2.13	0.949	0.119	48.80	0.9993	1.17×10^-4	0.74
3	734	7998	2.05	0.931	0.070	48.74	0.9994	1.14×10^-4	0.84
4	825	7984	2.13	0.949	0.119	48.77	0.9994	1.17×10^-4	0.74
5	399	7914	1.61	0.990	0.098	47.46	0.9994	1.28×10^-4	0.77
6	803	7873	1.61	0.990	0.098	47.44	0.9994	1.30×10^-4	0.77
7	581	7831	1.87	0.972	0.056	49.00	0.9994	1.04×10^-4	0.99
8	434	7802	1.87	0.972	0.056	48.90	0.9994	1.05×10^-4	0.97
9	1032	7782	1.87	0.972	0.056	48.94	0.9994	1.04×10^-4	0.99
10	353	7669	2.10	1.000	0.077	47.79	0.9993	1.20×10^-4	0.94
11	1028	7666	2.49	0.929	0.094	48.52	0.9994	1.12×10^-4	0.85
12	735	7647	2.26	0.959	0.099	48.80	0.9995	1.11×10^-4	0.88
13	962	7640	2.35	0.912	0.101	48.32	0.9993	1.27×10^-4	0.88
14	843	7628	2.32	0.990	0.159	46.73	0.9993	1.68×10^-4	0.86
15	385	7627	2.33	0.952	0.135	47.77	0.9994	1.33×10^-4	0.84
AVE			2.06	0.964	0.095	48.32	0.9994	1.20×10^-4	0.85
STD			0.26	0.026	0.029	0.68	0.0542	0.16×10^-4	0.09

Table 2. Quantization characteristics of optimum filter parameters
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Table 2. Quantization characteristics of optimum filter parameters
Channels Filter No. N_Cond U_F P_OL
4 892 2.240 1.000 0.150
5 165 1.635 0.959 0.070
6 403 1.851 0.990 0.085
7 908 2.987 0.974 0.141
8 35 2.569 0.995 0.097
AVE 2.256 0.984 0.107
STD 0.444 0.014 0.029

Table 3. Performance of optimum filter under 6 channels by multi-objective optimization

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Table 3. Performance of optimum filter under 6 channels by multi-objective optimization

R_SN	R_PSN		C_GF	x_MSE
R_SN	45	1035	45		1035	45		1035	45	1035
50 dB	44.72			48.77	0.9984	0.9994	2.8×10^-4	1.04×10^-4	1.05	0.69
40 dB	40.56			43.05	0.9897	0.9946	5.07×10^-4	2.18×10^-4	2.3	2.04
30 dB	32.46			34.87	0.9139	0.9447	2.8×10^-3	1.26×10^-3	6.22	5.98

Table 4. Quantization characteristics of optimum filter with different preferred filter sets

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Table 4. Quantization characteristics of optimum filter with different preferred filter sets

N_1st	Channels	N_Cond	U_F	P_OL	N_1st	Channels	N_Cond	U_F	P_OL
	4	2.36	0.981	0.143		4	1.45	0.95	0.094
	5	2.15	0.96	0.104		5	2.56	0.983	0.176
1035	6	2.06	0.964	0.095	45	6	2.31	0.937	0.12
	7	2.34	0.962	0.104		7	3.01	0.983	0.142
	8	2	0.975	0.094		8	3.62	0.984	0.132
	AVE	2.18	0.968	0.108		AVE	2.59	0.967	0.133
	STD	0.13	0.007	0.016		STD	0.66	0.018	0.025

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Suixian Li. Broadband Filter Selection for Multispectral Camera Based on Multi-Objective Optimization[J]. Acta Optica Sinica, 2020, 40(4): 0411001

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Paper Information

Category: Imaging Systems

Received: Aug. 30, 2019

Accepted: Oct. 21, 2019

Published Online: Feb. 11, 2020

The Author Email: Li Suixian (suixian.li@bzu.edu.cn)

DOI:10.3788/AOS202040.0411001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. The first 15 color filters with the best performance under 6 spectral channels

Table 1. The first 15 color filters with the best performance under 6 spectral channels

Table 2. Quantization characteristics of optimum filter parameters

Table 2. Quantization characteristics of optimum filter parameters

Table 3. Performance of optimum filter under 6 channels by multi-objective optimization

Table 3. Performance of optimum filter under 6 channels by multi-objective optimization

Table 4. Quantization characteristics of optimum filter with different preferred filter sets

Table 4. Quantization characteristics of optimum filter with different preferred filter sets