Transmission Mechanism and Suppression Methods of Measurement Error Based on Camera Networking

Yueqiang Zhang; Mingjie Chen; Biao Hu; Wenjun Chen; Yihe Yin; Qifeng Yu; Xiaolin Liu

doi:10.3788/AOS230784

Acta Optica Sinica, Volume. 43, Issue 21, 2112002(2023)

Transmission Mechanism and Suppression Methods of Measurement Error Based on Camera Networking

Yueqiang Zhang^1,2, Mingjie Chen^1,2, Biao Hu^1,2、*, Wenjun Chen^1,2, Yihe Yin^1,2, Qifeng Yu^1,2, and Xiaolin Liu^1,2

Author Affiliations

¹Institute of Intelligent Optical Measurement and Detection, Shenzhen University, Shenzhen 518000, Guangdong , China

²College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518000, Guangdong , China

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Abstract Get PDF(in Chinese)

Figures & Tables(18)

Fig. 1. Schematic diagram of serial camera network based on displacement transmission

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Fig. 2. Sketch map of camera network basic configuration

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Fig. 3. Numerical simulation procedure of camera network

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Fig. 4. Statistical results of camera network basic configuration. (a) Average value; (b) root mean square error

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Fig. 5. Influence of camera station number on transmission error

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Fig. 6. Influence of subsidence amplitude and inclination angle on transmission error

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Fig. 7. Influence of benchmark position on transmission error. (a) Root mean square error; (b) condition number of survey matrix (color of grid in picture represents magnitude of corresponding dependent variable. Magnitude that color represents corresponds to color bar on right side of picture)

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Fig. 8. Influence of distance between camera station and benchmark position (D₁) on transmission error. (a) Changing distance between camera station and benchmark position on one side of network; (b) changing distance between camera station and benchmark position simultaneously on both sides of network

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Fig. 9. Sketch map of survey mark distribution between camera stations

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Fig. 10. Influence of survey mark position on transmission error. (a) Root mean square error; (b) condition number of survey matrix (color of grid in picture represents magnitude of corresponding dependent variable. Magnitude that color represents corresponds to color bar on right side of picture)

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Fig. 11. Influence of survey mark number on transmission error

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Fig. 12. Relationship between transmission error and error coefficient of camera network. (a) Influence of benchmark position; (b) influence of survey mark position

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Fig. 13. Validation experiment of camera network on long-span cable-stayed bridge

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Fig. 14. Monitoring results of cable-stayed bridge camera network with different network configurations (C_f1-C_f6 represent network configurations 1-6 respectively in Table 4)

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Table 1. System parameters of camera network basic configuration

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Table 1. System parameters of camera network basic configuration

Parameter	Notation	Value
Number of simulation cycles	$n'$	5 $\times$ 10⁴
Spacing between marks	D	20 m
Calibration error of scaling factor	ε_c	1%
Feature extraction error	ε_e	0.5 pixel
Amplitude of subsidence	s	100 mm
Angle of inclination	θ	5'

Table 2. Comparison of camera network optimization with different camera stations

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Table 2. Comparison of camera network optimization with different camera stations

Network configuration	Instruction	3 camera stations		5 camera stations		7 camera stations
Network configuration	Instruction	σ/mm	∆ /%	σ/mm	∆ /%	σ/mm	∆ /%
0	2 uniformly-spaced survey marks between camera stations	2.88	0	5.72	0	9.15	0
1	Set cameras at benchmark on both sides	0.95	67.02	5.10	10.85	8.79	3.93
2	5 uniformly-spaced survey marks between camera stations	1.59	44.80	2.87	49.79	4.46	51.22
3	Set survey marks on camera stations	1.01	64.87	1.79	68.77	2.78	69.66
4	Configurations 1+3	0.66	76.91	1.63	71.57	2.62	71.33
5	Configurations 2+3	1.02	64.40	1.72	70.01	2.57	71.95
6	Configurations 1+2+3	0.59	79.44	1.48	74.08	2.40	73.83

Table 3. Parameters of experimental camera
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Table 3. Parameters of experimental camera
Resolution /pixel Frame rate /（frame·s^-1） Sensor Pixel size /μm Focal length /mm
2448 $\times$ 2048 36 2/3"，Sony IMX264 3.45 $\times$ 3.45 400

Table 4. Bridge monitoring results of different error suppression methods

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Table 4. Bridge monitoring results of different error suppression methods

Configuration	Instruction	σ/mm
1	Set marks on benchmarks；2 marks between stations	10.14
2	Set marks on benchmarks；3 marks between stations	9.41
3	Set cameras on benchmarks；2 marks between stations	3.13
4	Set cameras on benchmarks；3 marks between stations	2.58
5	Set cameras on benchmarks；2 marks between stations； set marks on stations	3.07
6	Set cameras on benchmarks；3 marks between stations； set marks on stations	2.11

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Yueqiang Zhang, Mingjie Chen, Biao Hu, Wenjun Chen, Yihe Yin, Qifeng Yu, Xiaolin Liu. Transmission Mechanism and Suppression Methods of Measurement Error Based on Camera Networking[J]. Acta Optica Sinica, 2023, 43(21): 2112002

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