Laser & Optoelectronics Progress, Volume. 58, Issue 8, 0810024(2021)

Robust High-Precision Phase Solution Method Based on Two-Step Phase-Shifting Method with Arbitrary Step Length

Zhuoyi Yin1,2, Cong Liu1、*, Lizhao Lai1, Xiaoyuan He2, Xiaopeng Liu3, and Zhihong Xu1
Author Affiliations
  • 1School of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China
  • 2School of Civil Engineering, Southeast University, Nanjing, Jiangsu 211189, China
  • 3College of Computer Science and Engineering, Shandong University of Science and Technology, Qingdao, Shandong 266590, China
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    The two-step phase-shifting method is an important method to balance high speed and high precision in fringe projection profilometry. However, the current solution algorithm has low accuracy or high algorithm complexity. This paper presents a two-step phase-shifting solution method based on variable grouping optimization. In this method, the original iterative variables are divided into linear group variables and nonlinear group variables. For the determined nonlinear group variables, the explicit optimal solution of linear group variables can be obtained by the least square method. By optimizing the parameters of the nonlinear group, the global optimal solution is obtained. The method in this paper is verified by the numerical simulation and experiment. The results show that the method in this paper effectively reduces the possibility of falling into the local optimum of the phase value obtained by the multivariate nonlinear optimization and reduces the complexity of the algorithm.

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    Zhuoyi Yin, Cong Liu, Lizhao Lai, Xiaoyuan He, Xiaopeng Liu, Zhihong Xu. Robust High-Precision Phase Solution Method Based on Two-Step Phase-Shifting Method with Arbitrary Step Length[J]. Laser & Optoelectronics Progress, 2021, 58(8): 0810024

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    Paper Information

    Category: Image Processing

    Received: Oct. 10, 2020

    Accepted: Dec. 2, 2020

    Published Online: Apr. 16, 2021

    The Author Email: Liu Cong (LiuC@njust.edu.cn)

    DOI:10.3788/LOP202158.0810024

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