Optimal Number of Spectral Channels for Gaussian Filter Sets in Multispectral Color Imaging

Suixian Li; Qiang Li; Jinping He; Xufen Xie; Fuzheng Zhang; Jing Liang

doi:10.3788/AOS231385

Acta Optica Sinica, Volume. 44, Issue 3, 0311001(2024)

Optimal Number of Spectral Channels for Gaussian Filter Sets in Multispectral Color Imaging

Suixian Li^1、*, Qiang Li², Jinping He², Xufen Xie³, Fuzheng Zhang¹, and Jing Liang³

Author Affiliations

¹Flight College, Binzhou University, Binzhou 256600, Shandong , China

²Beijing Institute of Space Mechanics and Electricity, Beijing 100094, China

³School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, Liaoning , China

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Figures & Tables(11)

Fig. 1. Workflow of optimal number of spectral channels for multispectral color imaging system

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Fig. 2. Input experimental data of multispectal imaging simulation. (a) Reflectance spectra of Munsell color atlas; (b) partial transmittance of Gaussian filters; (c) spectral power distribution of D65 light source; (d) spectral sensitivity of Basler302f CCD imaging sensors

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Fig. 3. Concentration index of multiobjective functions (CMFs) of optimal filters under different channel numbers

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Fig. 4. Optimal filter sets performance under different channel numbers. (a) CIEDE2000 chromatism; (b) MSE

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Fig. 5. Accumulative scores of 29 optimal filter sets with different channel numbers

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Fig. 6. Performance of multispectral color imaging system with 3-9 channels optimized by Gaussian filter sets at different noise levels. (a) Mean DE2000; (b) Std DE2000; (c) Max DE2000; (d) Mean MSE; (e) Std MSE;(f) Max MSE; (g) Mean PSNR; (h) Std PSNR

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Fig. 7. Transmittance curves of two filter sets with optimal number of channels. (a) 5 channels; (b) 9 channels

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Table 1. Serial numbers of optimal filters and their accumulative scores under different channel numbers

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Table 1. Serial numbers of optimal filters and their accumulative scores under different channel numbers

Number of channels	Sequential number of best filter sets	ACC90	Number of channels	Sequential number of best filter sets	ACC90	Number of channels	Sequential number of best filter sets	ACC90
31	731	656	21	888	445	11	678	275
30	592	544	20	424	324	10	591	583
29	817	382	19	844	488	9	531	583
28	741	442	18	652	551	8	888	392
27	653	540	17	591	587	7	867	304
26	307	366	16	652	551	6	577	279
25	577	582	15	834	539	5	899	257
24	307	270	14	834	336	4	712	425
23	888	488	13	834	271	3	863	298
22	712	638	12	678	491	—	—	—

Table 2. Performance indices of optimal filter sets with small number of channles for multispectral color imaging systems

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Table 2. Performance indices of optimal filter sets with small number of channles for multispectral color imaging systems

Channel	Filter set	ACC29	DE2000	Std DE2000	Max DE2000
9	531	155	0.07	0.05	0.38
8	888	60	0.16	0.13	0.54
7	867	106	0.34	0.22	2.52
6	577	60	0.90	0.49	2.42
5	899	136	1.16	0.58	2.63
4	712	86	0.74	0.69	4.15
3	863	114	3.16	2.02	9.80
Channel	MSE	Std MSE	Max MSE	PSNR	Std PSNR
9	4.73 $\times$ 10^-5	2.26 $\times$ 10^-4	6.59 $\times$ 10^-3	54.8	11.9
8	8.25 $\times$ 10^-5	2.37 $\times$ 10^-4	4.93 $\times$ 10^-3	51.0	11.9
7	1.21 $\times$ 10^-4	3.59 $\times$ 10^-4	1.25 $\times$ 10^-2	48.8	11.8
6	2.14 $\times$ 10^-4	7.13 $\times$ 10^-4	1.16 $\times$ 10^-2	48.3	12.5
5	3.46 $\times$ 10^-4	7.53 $\times$ 10^-4	1.18 $\times$ 10^-2	43.0	11.4
4	4.03 $\times$ 10^-4	1.16 $\times$ 10^-3	1.58 $\times$ 10^-2	45.3	12.7
3	8.82 $\times$ 10^-4	2.39 $\times$ 10^-3	4.97 $\times$ 10^-2	40.5	12.1

Table 3. Comparison of optimal Gaussian filter sets for multispectral color imaging system with 5 channels under different light sources
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Table 3. Comparison of optimal Gaussian filter sets for multispectral color imaging system with 5 channels under different light sources
Channel D65 A^［14］
$λ_{0}$ /nm W/nm $λ_{0}$ /nm W/nm
1 410 40 425 35
2 460 80 485 35
3 540 60 550 35
4 620 80 610 35
5 685 60 675 35

Table 4. Comparison of performance of optimal Gaussian filter sets for multispectral color imaging system with 5 channels under different light sources
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Table 4. Comparison of performance of optimal Gaussian filter sets for multispectral color imaging system with 5 channels under different light sources
Channel D65 A^［14］
DE2000 MSE /10^-4 PSNR DE2000 MSE /10^-4 PSNR
4 0.69 4.03 45.3 3.97 9.37 39.95
5 1.16 3.46 43.0 3.85 9.15 39.82
6 0.90 2.14 48.3 3.43 8.05 41.64
7 0.34 1.21 48.8 3.26 7.66 41.47
8 0.16 0.83 51.0 2.77 8.39 42.21

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Suixian Li, Qiang Li, Jinping He, Xufen Xie, Fuzheng Zhang, Jing Liang. Optimal Number of Spectral Channels for Gaussian Filter Sets in Multispectral Color Imaging[J]. Acta Optica Sinica, 2024, 44(3): 0311001

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Paper Information

Category: Imaging Systems

Received: Aug. 10, 2023

Accepted: Oct. 7, 2023

Published Online: Feb. 21, 2024

The Author Email: Li Suixian (leesx_72@hotmail.com)

DOI:10.3788/AOS231385

CSTR:32393.14.AOS231385

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Serial numbers of optimal filters and their accumulative scores under different channel numbers

Table 1. Serial numbers of optimal filters and their accumulative scores under different channel numbers

Table 2. Performance indices of optimal filter sets with small number of channles for multispectral color imaging systems

Table 2. Performance indices of optimal filter sets with small number of channles for multispectral color imaging systems

Table 3. Comparison of optimal Gaussian filter sets for multispectral color imaging system with 5 channels under different light sources

Table 3. Comparison of optimal Gaussian filter sets for multispectral color imaging system with 5 channels under different light sources

Table 4. Comparison of performance of optimal Gaussian filter sets for multispectral color imaging system with 5 channels under different light sources

Table 4. Comparison of performance of optimal Gaussian filter sets for multispectral color imaging system with 5 channels under different light sources