Light Plane Calibration Method Using Line Transformation for Line Structured Light Measurement

Peng Zhai; Haihua Cui; Guanglu Hu; Yihua Zhang; Yuting Jin; Yi Huang

doi:10.3788/LOP202158.0212001

Laser & Optoelectronics Progress, Volume. 58, Issue 2, 0212001(2021)

Light Plane Calibration Method Using Line Transformation for Line Structured Light Measurement

Peng Zhai¹, Haihua Cui^1、*, Guanglu Hu¹, Yihua Zhang¹, Yuting Jin¹, and Yi Huang²

¹College of Mechanical & Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, China;

²Nanjing Jingyao Intelligent Technology Co., Ltd., Nanjing, Jiangsu 211100, China

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Figures & Tables(11)

Fig. 1. Schematic of line structed light geometry sensor

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Fig. 2. 5MA smooth

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Fig. 3. Two-dimensional projective transformation of a point and a line

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Fig. 4. Spatial line transformation model

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Fig. 5. Light plane fitted by proposed method

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Fig. 6. Light plane fitted by cross ratio method

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Fig. 7. Standard step block experiment. (a) Step block and feature points; (b) step point cloud; (c) section shape

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Fig. 8. Cylinder experiment. (a) Cylindrical specimen; (b) fitted circle

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Table 1. Experimental results of two methods
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Table 1. Experimental results of two methods
Method A B C D /mm Time /s
Cross ratio method 0.9095 -0.0700 -0.4097 85.2136 23.645
Proposed method 0.8813 -0.0699 -0.4120 85.7558 19.584

Table 2. Measurement results of distance between point C and point D in step block unit: mm
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Table 2. Measurement results of distance between point C and point D in step block unit: mm
Position Proposed method Cross ratio method
Pose 1 24.948 25.059
Pose 2 25.105 25.246
Pose 3 25.012 25.137
Pose 4 25.055 24.986
Pose 5 24.936 24.800
Mean error/mm 0.0292 0.0456
RMS/mm 0.065 0.157

Table 3. Measurement results of cylinder unit: mm
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Table 3. Measurement results of cylinder unit: mm
Test No. Fitted diameter Actual diameter Error diameter Mean error diameter RMS of diameter
1 9.746 9.800 0.054 0.047 0.048
2 9.753 9.800 0.047
3 9.745 9.800 0.055
4 9.767 9.800 0.033

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Peng Zhai, Haihua Cui, Guanglu Hu, Yihua Zhang, Yuting Jin, Yi Huang. Light Plane Calibration Method Using Line Transformation for Line Structured Light Measurement[J]. Laser & Optoelectronics Progress, 2021, 58(2): 0212001

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