A Method for Natural Spectral Reproduction Based on Fully Connected Neural Network

Zimao Ren; Huimin Lu; Liya Feng; Lu Yang; Yifan Zhu; Jianping Wang

doi:10.3788/AOS221663

Journals >Acta Optica Sinica >Volume 43 >Issue 10 >Page 1030001 > Article

Acta Optica Sinica
Vol. 43, Issue 10, 1030001 (2023)

A Method for Natural Spectral Reproduction Based on Fully Connected Neural Network

Zimao Ren^1、2, Huimin Lu^1、2、*, Liya Feng¹, Lu Yang^1、2, Yifan Zhu¹, and Jianping Wang¹

Author Affiliations

¹School of Computer & Communication Engineering, University of Science and Technology Beijing, Beijing 100083, China

²Shunde Innovation School, University of Science and Technology Beijing, Foshan 528000, Guangdong, China

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DOI: 10.3788/AOS221663 Cite this Article Set citation alerts

Zimao Ren, Huimin Lu, Liya Feng, Lu Yang, Yifan Zhu, Jianping Wang. A Method for Natural Spectral Reproduction Based on Fully Connected Neural Network[J]. Acta Optica Sinica, 2023, 43(10): 1030001 Copy Citation Text

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Fig. 1. Structure of fully connected neural network

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Training and spectral reproduction in the fully connected network. (a) Process of spectral reproduction; (b) change curve of correlation index

Fig. 2. Training and spectral reproduction in the fully connected network. (a) Process of spectral reproduction; (b) change curve of correlation index

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Fig. 3. Comparison of standard solar spectra of AM1.5, CIE-D65, and CIE-A and reproduction spectra. (a) AM1.5; (b) CIE-D65;(c) CIE-A

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Fig. 4. Comparison of measured natural spectra and reproduction spectra at different time on the same sunny day. (a) 6:00; (b) 11:00; (c) 18:00; (d) 19:30

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Fig. 5. Comparison of spectrum reproduction between fully connected neural network model and genetic algorithm. (a) Coincidence comparison; (b) fitting time comparison

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No.	Peak wavelength /nm	$Δ λ$ /nm	No.	Peak wavelength /nm	$Δ λ$ /nm
1	385	9	13	577	17
2	395	17	14	590	13
3	405	19	15	600	15
4	420	16	16	610	15
5	435	16	17	617	17
6	450	19	18	625	14
7	470	24	19	636	23
8	490	32	20	645	16
9	505	30	21	660	16
10	525	28	22	670	22
11	545	39	23	680	24
12	565	25

Table 1. Peak wavelength and full width at half maximum (

Δ λ

) of the selected monochrome LEDs

Target spectrum	$R^{2}$	Optimal combination ratio
Sunny day，6：00	0.9520	26∶1∶56∶53∶47∶75∶73∶55∶43∶36∶66∶34∶41∶33∶36∶30∶26∶17∶34∶20∶23∶18∶29
Sunny day，7：00	0.9570	17∶0∶52∶48∶43∶73∶72∶55∶43∶36∶69∶17∶45∶36∶41∶35∶29∶21∶39∶25∶28∶21∶35
Sunny day，8：00	0.9512	30∶1∶62∶57∶49∶77∶74∶53∶42∶33∶61∶32∶39∶29∶33∶26∶19∶15∶26∶11∶12∶12∶11
Sunny day，9：00	0.9515	25∶0∶58∶52∶46∶75∶73∶53∶43∶34∶65∶35∶44∶34∶38∶31∶23∶19∶32∶18∶20∶14∶21
Sunny day，10：00	0.9631	3∶2∶47∶41∶36∶70∶71∶54∶45∶36∶74∶40∶54∶46∶51∶42∶33∶30∶48∶36∶41∶24∶51
Sunny day，11：00	0.9627	4∶0∶48∶41∶36∶70∶71∶54∶44∶36∶72∶39∶53∶44∶50∶41∶32∶30∶47∶35∶39∶23∶49
Sunny day，12：00	0.9548	23∶2∶60∶53∶46∶77∶73∶53∶42∶33∶63∶34∶42∶33∶37∶39∶22∶18∶30∶16∶18∶14∶18
Sunny day，13：00	0.9596	5∶8∶49∶42∶36∶70∶71∶53∶44∶35∶71∶37∶51∶42∶48∶39∶30∶28∶44∶33∶36∶21∶45
Sunny day，15：00	0.9527	32∶1∶66∶59∶49∶78∶74∶53∶40∶31∶58∶30∶36∶25∶30∶24∶17∶12∶23∶8∶8∶12∶05
Sunny day，16：00	0.9604	16∶0∶55∶52∶46∶76∶73∶54∶42∶34∶65∶35∶44∶34∶39∶32∶25∶20∶35∶21∶24∶17∶28
Sunny day，18：00	0.9855	0∶0∶22∶24∶22∶45∶48∶41∶37∶32∶67∶38∶51∶42∶51∶42∶40∶31∶58∶44∶54∶30∶76
Sunny day，19：00	0.9763	0∶0∶28∶28∶25∶48∶50∶42∶35∶30∶60∶32∶42∶35∶40∶36∶35∶24∶51∶40∶47∶31∶72
Sunny day，19：30	0.9726	17∶0∶49∶49∶46∶75∶74∶56∶42∶34∶54∶24∶26∶26∶22∶18∶23∶12∶31∶27∶29∶21∶45
Cloudy day	0.9522	4∶0∶31∶31∶27∶51∶50∶43∶34∶31∶64∶36∶40∶31∶38∶38∶33∶20∶44∶29∶32∶29∶45
CIE-D65	0.9812	0∶0∶51∶48∶45∶84∶76∶51∶43∶36∶63∶33∶41∶31∶38∶27∶28∶20∶34∶23∶29∶17∶32
CIE-A	0.9815	4∶1∶4∶5∶8∶11∶14∶14∶21∶14∶37∶32∶40∶38∶43∶33∶29∶34∶51∶46∶65∶18∶89
AM1.5	0.9670	26∶0∶65∶55∶47∶77∶73∶48∶45∶34∶65∶37∶47∶42∶44∶32∶24∶25∶35∶22∶24∶14∶23

Table 2. Target spectrum reproduction results used in simulation experiments

Zimao Ren, Huimin Lu, Liya Feng, Lu Yang, Yifan Zhu, Jianping Wang. A Method for Natural Spectral Reproduction Based on Fully Connected Neural Network[J]. Acta Optica Sinica, 2023, 43(10): 1030001

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