Method for Coordinate Acquisition of Camera and Measured Surface in Deflectometry

Jiangang Zhao; Dahai Li; Lei Li; Pengyu Chen; Ruiyang Wang; Qionghua Wang

doi:10.3788/CJL201946.0304001

Chinese Journal of Lasers, Volume. 46, Issue 3, 0304001(2019)

Method for Coordinate Acquisition of Camera and Measured Surface in Deflectometry

Jiangang Zhao^1、*, Dahai Li^1、*, Lei Li¹, Pengyu Chen¹, Ruiyang Wang¹, and Qionghua Wang²

Author Affiliations

¹ College of Electronics and Information Engineering, Sichuan University, Chengdu, Sichuan 610065, China

² School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100191, China

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Figures & Tables(8)

Fig. 1. Measuring principle of deflectometry

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Fig. 2. Measuring principle of proposed method

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Fig. 3. Schematic of experimental setup

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Fig. 4. Difference of surface coordinates obtained by proposed method and Zhang's calibration method. (a) x direction; (b) y direction

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Fig. 5. Comparison of shape measurement results of measured window glass. (a)-(c) Shape results after removal of first three terms of Zernike polynomials; (d)-(f) shape results after removal of first four terms of Zernike polynomials

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Table 1. Root mean square (RMS) errors of test surface coordinates obtained by proposed method
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Table 1. Root mean square (RMS) errors of test surface coordinates obtained by proposed method
d /mm RMS error
x /mm y /mm
5 4.2×10^-15 1.5×10^-15
10 7.5×10^-15 1.4×10^-15
15 6.9×10^-15 2.7×10^-15
20 3.5×10^-15 1.5×10^-15
25 5.5×10^-15 2.9×10^-15

Table 2. Coordinate of pinhole camera obtained by proposed method

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Table 2. Coordinate of pinhole camera obtained by proposed method

d /mm	Expected coordinate /mm	Coordinate by proposed method /mm	Error /mm
5	(104.9864,0)	(104.9760,2.7×10^-11)	(0.0104,2.7×10^-11)
10	(104.9864,0)	(104.9848,5.7×10^-12)	(0.0016,5.7×10^-12)
15	(104.9864,0)	(104.9840,1.4×10^-12)	(0.0024,1.4×10^-12)
20	(104.9864,0)	(104.9848,5.2×10^-13)	(0.0016,5.2×10^-13)
25	(104.9864,0)	(104.9856,2.1×10^-12)	(0.0008,2.1×10^-12)

Table 3. Errors of pinhole camera coordinates obtained by proposed method
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Table 3. Errors of pinhole camera coordinates obtained by proposed method
d /mm Expected coordinate /mm Coordinate by proposed method /mm Error /mm
5 (78.17,46.40) (77.60,46.32) (0.57,0.08)
10 (78.17,46.40) (77.47,45.80) (0.70,0.60)
15 (78.17,46.40) (77.27,45.54) (0.90,0.86)

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Jiangang Zhao, Dahai Li, Lei Li, Pengyu Chen, Ruiyang Wang, Qionghua Wang. Method for Coordinate Acquisition of Camera and Measured Surface in Deflectometry[J]. Chinese Journal of Lasers, 2019, 46(3): 0304001

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