Infrared and Laser Engineering, Volume. 51, Issue 3, 20210123(2022)
Image gray-scale modeling and displacement measurement based on the combination of Fourier series and polynomial
Figures & Tables(8)
Fig. 2. Two main factors affecting the measurement model. (a) Target image distortion; (b) Inconsistencies between image sensors unit
Fig. 3. Model identification results before calibration. (a) The result of least square fitting; (b) Residual distribution of model; (c) Right view of the model residual distribution
Fig. 4. Model identification results after calibration. (a) The result of least square fitting; (b) Residual distribution of model; (c) Right view of the model residual distribution
Fig. 5. Measurement results. (a) Measurement results before model correction; (b) Measurement results after model correction
Fig. 6. Relationship between the number of sensor unit and the standard deviation of measurement error
Table 1. Results of model parameter identification before model correction
View tableView in ArticleTable 1. Results of model parameter identification before model correction
Parameter Value Parameter Value A 79.59 ${\tau _{\rm{w}}}$ 8.667 B 123.8 $\varphi $ 0.6262
Table 2. Results of model parameter identification after model correction
View tableView in ArticleTable 2. Results of model parameter identification after model correction
Parameter Value Parameter Value Parameter Value ${a_{10}}$ 81 ${a_{43}}$ 1.323e-06 ${b_{32}}$ −0.0002089 ${a_{11}}$ 0.04654 ${a_{50}}$ −0.2038 ${b_{33}}$ 1.421e-06 ${a_{12}}$ −0.0002637 ${a_{51}}$ −7.2e-05 ${b_{40}}$ 0.08277 ${a_{13}}$ 9.085e-07 ${a_{52}}$ 0.0001074 ${b_{41}}$ 0.004726 ${a_{20}}$ −6.692 ${a_{53}}$ −8.738e-07 ${b_{42}}$ −3.146e-05 ${a_{21}}$ 0.01142 ${b_{10}}$ −24.01 ${b_{43}}$ 1.808e-07 ${a_{22}}$ 1.84e-06 ${b_{11}}$ 0.04984 ${b_{50}}$ 0.301 ${a_{23}}$ −2.256e-07 ${b_{12}}$ −0.0002796 ${b_{51}}$ 0.003075 ${a_{30}}$ −0.6056 ${b_{13}}$ 1.659e-06 ${b_{52}}$ −0.0001482 ${a_{31}}$ −0.001703 ${b_{20}}$ −9.865 ${b_{53}}$ 1.122e-06 ${a_{32}}$ −1.555e-05 ${b_{21}}$ −0.01589 ${B_0}$ 129.2 ${a_{33}}$ 2.462e-07 ${b_{22}}$ 0.000121 ${B_1}$ 0.04099 ${a_{40}}$ −0.1802 ${b_{23}}$ −4.206e-07 ${B_2}$ −0.0004571 ${a_{41}}$ 0.006175 ${b_{30}}$ 0.5337 ${B_3}$ 2.644e-06 ${a_{42}}$ −0.0001946 ${b_{31}}$ 0.004793 ${\tau _{\rm{w}}}$ /mm8.62
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Peng Lei, Jinchun Hu, Yu Zhu, Shengwu Du. Image gray-scale modeling and displacement measurement based on the combination of Fourier series and polynomial[J]. Infrared and Laser Engineering, 2022, 51(3): 20210123
Paper Information
Category: Photoelectric measurement
Received: Nov. 25, 2021
Accepted: --
Published Online: Apr. 8, 2022
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