• Infrared and Laser Engineering
  • Vol. 51, Issue 3, 20210123 (2022)
Peng Lei1、2, Jinchun Hu1、2, Yu Zhu1、2, and Shengwu Du1、2
Author Affiliations
  • 1State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
  • 2Beijing Key Lab of Precision/Ultra-Precision Manufacturing Equipment and Control, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
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    DOI: 10.3788/IRLA20210123 Cite this Article
    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 Copy Citation Text show less

    Abstract

    To achieve displacement measurement using the imaging grayscale of the image sensor, it is necessary to use the camera to image the target during the displacement process, and then establish the mapping relationship between the displacement value and the imaging grayscale value, i.e., the imaging grayscale model, and the measurement accuracy of this method depends on the imaging grayscale model and the grayscale noise level. In the actual measurement process, external error sources such as uneven illumination, target manufacturing errors, aberrations of the camera imaging system, and the variability of imaging characteristics between different internal image sensor units can cause the imaging grayscale model to deviate from the ideal situation, thus affecting the measurement results. To further improve the measurement accuracy, the modeling error caused by the aforementioned nonlinearities are taken into account, and a class of imaging grayscale models combining Fourier series and higher-order polynomials is proposed to improve the generalization approximation ability of the models and thus the modeling accuracy, correcting the grayscale distortion caused by the aforementioned error sources. On this basis, the displacement is solved by the sequential solution method based on the displacement continuity principle, and the experimental results show that the standard deviation of the displacement measurement error under the 10.46 mm stroke using this improved model is reduced from 56.4 μm before correction to 1.5 μm.
    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
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