Optimization Design of Single-Camera Stereo-Digital Image Correlation System

Siwei Qian; Junzhe Liang; Jin Liang

doi:10.3788/AOS240671

Acta Optica Sinica, Volume. 44, Issue 16, 1615002(2024)

Optimization Design of Single-Camera Stereo-Digital Image Correlation System

Siwei Qian^1,2, Junzhe Liang³, and Jin Liang^1、*

¹State Key Laboratory for Manufacturing System Engineering, iHarbour Academy of Frontier Equipment, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, Shaanxi , China

²Innovation Lab, XTOP 3D Technology (Shenzhen) Co., Ltd., Shenzhen 518060, Guangdong , China

³School of Microelectronics, Xi’an Jiaotong University, Xi’an 710049, Shaanxi , China

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Figures & Tables(18)

Fig. 1. Measurement and matching process of single-camera stereo DIC system. (a) Principle of four-mirror adapter; (b) matching process of single-camera stereo DIC system

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Fig. 2. Optical path of four-mirror adapter. (a) Convergent optical path; (b) diffused optical path

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Fig. 3. Influence of single-camera field angle on structural parameters of monocular stereo system. (a) Influence of field angle on deflection angle of outer mirror; (b) influence of field angle on spacing between inner and outer mirrors

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Fig. 4. Influence of single-camera field angle on structural parameters of monocular stereo system. (a) Influence of field angle on visual field distance; (b) influence of field angle on virtual binocular field of view

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Fig. 5. Preparation of four-mirror adapter

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Fig. 6. Experimental site. (a) Experimental platform; (b) specimen; (c) 128 mm×96 mm calibration plate; (d) 800 mm×600 mm calibration plate

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Fig. 7. Structural parameter verification. (a) Parameter verification method; (b) experimental test process

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Fig. 8. Calibration plate rotation attitude

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Fig. 9. Displacement measurement experiment. (a) Translation test experiment; (b) rotation test experiment

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Fig. 10. Partial displacement field chromatogram. (a) Translation experiment; (b) rotation experiment

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Fig. 11. Displacement measurement results of specimen. (a) Displacement of each translation stage; (b) displacement of each rotation stage

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Table 1. Test sites

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Table 1. Test sites

Parameter	Value
Stereo angle /（°）	10-30
Distance of view /mm	500-1500
Width of view /mm	≥330
Angle of view /（°）	0-90
Height of view /mm	≥300
Deflection angle /（°）	45-90
Mirror distance /mm	50-1000
Distance between mirror and lens /mm	20-50

Table 2. Geometry parameters of optical path
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Table 2. Geometry parameters of optical path
$B$ /mm $Z_{m i n}$ /mm $Z_{m a x}$ /mm $Z_{m i d}$ /mm w /mm h /mm
423.6068 461.6525 5.2773 $\times$ 10³ 974.6379 333.3581 464.4176
$γ$ /（°） $L_{1 m i n}$ /mm $L_{1 m a x}$ /mm $L_{2 m i n}$ /mm $H_{1 m i n}$ /mm $H_{2 m i n}$ /mm
10.3054 27.8578 160.1094 87.9223 78.1465 104.1953

Table 3. Calibrated intrinsic parameters
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Table 3. Calibrated intrinsic parameters
Camera FF /mm DX /pixel DY /pixel K1 /10^-9 K2 /10^-15 K3 /10^-22 B1 /10^-7 B2 /10^-7 E1 /10^-4 E2 /10^-4
Left 25.24 1108.70 $-$ 5.95 $-$ 3.88 1.20 $-$ 6.19 $-$ 9.11 3.85 1.46 5.65
Right 25.61 $-$ 1111.40 $-$ 7.94 $-$ 15.04 11.57 $-$ 34.61 8.80 1.96 $-$ 7.74 $-$ 11.65

Table 4. Calibrated extrinsic parameters
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Table 4. Calibrated extrinsic parameters
Camera $α_{1} / r a d$ $α_{2} / r a d$ $α_{3} / r a d$ $T_{x} / m m$ $T_{y} / m m$ $T_{z} / m m$
Left 0.0002261 0.6790 3.133000 524.1 $-$ 5.416 871.4
Right $-$ 0.0047550 0.6435 0.006676 411.8 3.847 $-$ 128.8

Table 5. Optical path structure parameters

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Table 5. Optical path structure parameters

Parameter	Expected value /mm	True value /mm	Absolute error /mm	Relative error /%
$Z_{m i n}$	461.6525	458	3.6525	0.80
$Z_{m a x}$	1854.2000	1846	8.2000	0.44
$Z_{m i d}$	798.3167	804	5.6833	0.71
$w_{m i d}$	218.7776	216	2.7776	1.29
$B$	423.6068	431.5066	7.8998	1.83

Table 6. Point distance reconstruction results of each method

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Table 6. Point distance reconstruction results of each method

Test status	Method 1 /mm		Method 2 /mm		Method 3 /mm
Test status	Distance	Error	Distance	Error	Distance	Error
Mean error	0.025		0.200		0.020
1	153.752	0.026	452.283	0.091	452.370	0.004
2	153.751	0.027	452.083	0.291	452.359	0.015
3	153.745	0.033	452.215	0.159	452.386	0.012
4	153.771	0.007	452.045	0.329	452.372	0.002
5	153.748	0.030	452.504	0.130	452.308	0.066

Table 7. Translation measurement results

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Table 7. Translation measurement results

True value /mm	Max value /mm	Min value /mm	Mean value /mm	Absolute error /mm	Relative error /%
4.8	4.668	4.629	4.661	0.139	2.896
9.6	9.630	9.561	9.614	0.014	0.146
14.4	14.431	14.332	14.412	0.012	0.083
19.2	19.306	19.182	19.221	0.021	0.109
24.0	24.141	23.984	24.054	0.054	0.225

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Siwei Qian, Junzhe Liang, Jin Liang. Optimization Design of Single-Camera Stereo-Digital Image Correlation System[J]. Acta Optica Sinica, 2024, 44(16): 1615002

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