Researching | Prediction Model of Laser 3D Projection Galvanometer Deflection Voltage Based on PROA-BP

Journals >Acta Photonica Sinica >Volume 53 >Issue 3 >Page 0314002 > Article

Acta Photonica Sinica
Vol. 53, Issue 3, 0314002 (2024)

Prediction Model of Laser 3D Projection Galvanometer Deflection Voltage Based on PROA-BP

Xuezhu LIN^1,2,*, Hai WANG¹, Lili GUO^1,2, Dongming YAN¹..., Lijuan LI^1,2, Yue LIU¹ and Jing SUN¹|Show fewer author(s)

Author Affiliations

¹Key Laboratory of Optical Control and Optical Information Transmission Technology， Ministry of Education， School of Optoelectronic Engineering， Changchun University of Science and Technology， Changchun 130022， China

²Zhongshan Institute of Changchun University of Science and Technology， Zhongshan 528437， China

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DOI: 10.3788/gzxb20245303.0314002 Cite this Article

Xuezhu LIN, Hai WANG, Lili GUO, Dongming YAN, Lijuan LI, Yue LIU, Jing SUN. Prediction Model of Laser 3D Projection Galvanometer Deflection Voltage Based on PROA-BP[J]. Acta Photonica Sinica, 2024, 53(3): 0314002 Copy Citation Text

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Laser projection system internal geometric relationship structure diagram

Fig. 1. Laser projection system internal geometric relationship structure diagram

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BP neural network structure and neuron structure

Fig. 2. BP neural network structure and neuron structure

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Fig. 3. Use PROA-BP neural network predictive galvanometer deflection voltage process

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Fig. 4. Projection coordinate system

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Fig. 5. Dataset acquisition

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Fig. 6. MSE and MAE under the number of different neurons

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Fig. 7. MSE and MAE of different network structures under training dataset

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Fig. 8. Prediction errors of different network structures

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Fig. 9.

k_{2}

calibration

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Fig. 10.

k_{1}

calibration

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Fig. 11. Projection positioning error of laser 3D projection traditional model projection simulation

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Fig. 12. Projection positioning error of projection simulation based on galvanometer deflection voltage prediction model of laser 3D projection based on PROA-BP

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Fig. 13. Experimental verification platform

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Fig. 14. Measure the center coordinates of the intersection points of the cross lines

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Fig. 15. Projection positioning error of projection experiment of galvanometer deflection voltage prediction model of laser 3D projection based on PROA-BP

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Point	$u$	$v$	$k_{1} = 6, k_{2} = 6, e = 6.8$				$k_{1} = 5.999 99, k_{2} = 6.004 10, e = 6.798 37$				Error
Point	$u$	$v$	$V$	$H$	$x$	$y$	$V$	$H$	$x$	$y$	Error
1	-5	-4.5	-30	-27	-591.814 0	-577.350 2	-29.995 0	-27.081 0	-592.243 1	-577.233 9	0.431 6
2	-3.5	2	-21	12	229.124 2	-383.864 0	-20.996 5	12.008 0	229.275 8	-383.793 9	0.167 0
3	-1.5	-3	-9	-18	331.179 3	-158.384 0	-8.998 5	-18.012 0	331.413 3	-158.358 0	0.235 6
4	0.5	3	3	9	327.575 1	52.407 7	2.999 5	18.012 0	327.807 7	52.399 0	0.234 8
5	2	4	12	24	458.202 9	212.556 6	11.998 0	24.016 0	458.543 1	212.520 1	0.346 4
6	3	-2.5	18	-15	-283.561 0	324.919 7	17.997 0	-15.010	-283.753 0	324.861 8	0.196 5
7	4	1.5	24	9	174.450 4	445.228 7	23.996 0	9.006 0	174.562 9	445.145 0	0.181 2

Table 1. Laser 3D projection traditional model projection simulation part of the data

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Point	$u$	$v$	$x$	$y$	$u$	$v$	$x$	$y$	Error
1	-4	0.25	28.842 12	-445.228 6	-3.999 66	0.249 87	28.826 6	-445.186 0	0.045 38
2	2.75	3.75	434.820 2	296.213 4	2.750 72	3.748 70	434.662 4	296.295 5	0.177 82
3	-1.75	3	332.662 6	-185.339 0	-1.748 09	2.998 76	332.503 4	-185.132 1	0.261 04
4	1.25	2	215.836 0	131.652 5	1.249 80	1.999 69	215.801 0	131.631 1	0.041 01
5	-4.5	-2.75	-334.462 4	-509.525 4	-4.499 11	-2.749 16	-334.338 6	-509.408 0	0.170 62
6	1.75	-0.25	-26.809 9	185.339 0	1.750 34	-0.251 21	-26.939 9	185.375 8	0.135 11
7	1	-1	-106.397 8	105.104 2	1.000 48	-1.000 14	-106.413 4	105.155 0	0.053 14

Table 2. Projection simulation part of the data of galvanometer deflection voltage prediction model of laser 3D projection based on PROA-BP

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Point	Value x/mm			Value y/mm			Error/mm		Projection positioning error
Point	Theoretical	Actual		Theoretical	Actual		x	y	Projection positioning error
1	140.540 83	140.703 41		487.732 60	487.691 75		0.162 58	-0.040 85	0.167 63
2	-324.919 70	-324.860 37		-487.733 00	-487.628 85		0.059 33	0.104 15	0.119 86
3	212.556 56	212.714 70		-577.350 00	-577.497 64		0.158 14	-0.147 64	0.216 35
4	674.508 52	674.651 73		404.026 20	403.965 00		0.143 21	-0.061 20	0.155 74
5	-445.228 69	-445.230 99		34.920 77	35.004 08		-0.002 30	0.083 31	0.083 34
6	531.709 43	531.810 72		-140.541 00	-140.521 51		0.101 29	0.019 49	0.103 15
7	-105.104 24	-104.978 56		34.920 77	34.800 98		0.125 68	-0.119 79	0.173 62
8	-726.542 53	-726.360 13		-212.557 00	-212.851 42		0.182 40	-0.294 42	0.346 34
9	-105.104 24	-105.152 03		-781.286 00	-780.965 99		-0.047 79	0.320 01	0.323 56
10	-363.970 23	-363.919 67		105.104 20	105.311 97		0.050 56	0.207 77	0.213 83
11	-445.228 69	-445.236 88		-69.926 80	-70.004 77		-0.008 19	-0.077 97	0.078 40
12	-212.556 56	-212.368 00		-176.327 00	-176.104 71		0.188 56	0.222 29	0.291 49
13	140.540 83	140.620 26		-105.104 00	-105.224 84		0.079 43	-0.120 84	0.144 61

Table 3. Projection experiment part of the data of galvanometer deflection voltage prediction model of laser 3D projection based on PROA-BP

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Xuezhu LIN, Hai WANG, Lili GUO, Dongming YAN, Lijuan LI, Yue LIU, Jing SUN. Prediction Model of Laser 3D Projection Galvanometer Deflection Voltage Based on PROA-BP[J]. Acta Photonica Sinica, 2024, 53(3): 0314002

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