• Chinese Journal of Lasers
  • Vol. 46, Issue 3, 0304001 (2019)
Jiangang Zhao1、*, Dahai Li1、*, 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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    DOI: 10.3788/CJL201946.0304001 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Measuring principle of deflectometry
    Fig. 1. Measuring principle of deflectometry
    Measuring principle of proposed method
    Fig. 2. Measuring principle of proposed method
    Schematic of experimental setup
    Fig. 3. Schematic of experimental setup
    Difference of surface coordinates obtained by proposed method and Zhang's calibration method. (a) x direction; (b) y direction
    Fig. 4. Difference of surface coordinates obtained by proposed method and Zhang's calibration method. (a) x direction; (b) y direction
    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
    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
    d /mmRMS error
    x /mmy /mm
    54.2×10-151.5×10-15
    107.5×10-151.4×10-15
    156.9×10-152.7×10-15
    203.5×10-151.5×10-15
    255.5×10-152.9×10-15
    Table 1. Root mean square (RMS) errors of test surface coordinates obtained by proposed method
    d /mmExpected coordinate /mmCoordinate by proposed method /mmError /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 2. Coordinate of pinhole camera obtained by proposed method
    d /mmExpected coordinate /mmCoordinate by proposed method /mmError /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)
    Table 3. Errors of pinhole camera coordinates obtained by proposed method
    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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