Three-Dimensional Measurement Method of Mirror Based on Telecentric Lens and Curved Screen

Yu Li; Zonghua Zhang; Nan Gao; Zhaozong Meng; Ziyu Li; Zhangying Wang

doi:10.3788/LOP220614

Laser & Optoelectronics Progress, Volume. 60, Issue 7, 0724001(2023)

Three-Dimensional Measurement Method of Mirror Based on Telecentric Lens and Curved Screen

Yu Li¹, Zonghua Zhang^1,2、*, Nan Gao¹, Zhaozong Meng¹, Ziyu Li¹, and Zhangying Wang¹

Author Affiliations

¹School of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, China

²Centre for Precision Technologies, University of Huddersfield, West Yorkshire HD1 3DH, UK

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Figures & Tables(8)

Fig. 1. Three-dimensional measurement system for mirror object. (a) Design scheme; (b) mathematical model

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Fig. 2. Solution of system parameter d

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Fig. 3. Experimental platform. (a)Proposed system; (b) traditional PMD

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Fig. 4. Mirror fan-shaped standard step. (a) (c) Deformation fringe pattern; (b) (d) unwrapped phase

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Fig. 5. Mirror right-angle standard step. (a) Deformation fringe pattern; (b) wrapped phase; (d) unwrapped phase; (d) 3D reconstruction results

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Fig. 6. 3D reconstruction results of mirror fan-shaped step

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Table 1. Results and errors of true and measured values of right-angle step surface
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Table 1. Results and errors of true and measured values of right-angle step surface
CMM measurement Actual measurement Absolute error
Traditional method Proposed Traditional method Proposed
3.987
7.025
5.006
6.099
3.961 4.009 0.026 0.024
7.048 7.064 0.023 0.012
4.985 4.986 0.021 0.023
6.121 6.083 0.022 0.020

Table 2. Results and errors of true and measured values of fan-shaped step surface
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Table 2. Results and errors of true and measured values of fan-shaped step surface
Step surface CMM measurement Actual measurement Absolute error
1-2 3.00016 3.031 0.031
2-3 4.00015 4.024 0.024
3-4 5.00026 4.976 0.024
4-5 5.50026 5.482 0.018

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Yu Li, Zonghua Zhang, Nan Gao, Zhaozong Meng, Ziyu Li, Zhangying Wang. Three-Dimensional Measurement Method of Mirror Based on Telecentric Lens and Curved Screen[J]. Laser & Optoelectronics Progress, 2023, 60(7): 0724001

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Paper Information

Category: Optics at Surfaces

Received: Jan. 14, 2022

Accepted: Feb. 21, 2022

Published Online: May. 24, 2023

The Author Email: Zhang Zonghua (zhzhang@hebut.edu.cn)

DOI:10.3788/LOP220614

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Results and errors of true and measured values of right-angle step surface

Table 1. Results and errors of true and measured values of right-angle step surface

Table 2. Results and errors of true and measured values of fan-shaped step surface

Table 2. Results and errors of true and measured values of fan-shaped step surface