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

Suixian Li

doi:10.3788/AOS202040.0411001

Journals >Acta Optica Sinica >Volume 40 >Issue 4 >Page 0411001 > Article

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

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

Suixian Li^*

DOI: 10.3788/AOS202040.0411001 Cite this Article Set citation alerts

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

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

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 2. Quantization characteristics of optimum filter parameters

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

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

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

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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