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Improved two-frequency temporal phase unwrapping method in fringe projection profilometry

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Abstract

In three-dimensional (3D) measurement using fringe projection profilometry (FPP), noise introduced by the camera during fringe capture can cause phase errors in the reconstructed results, affecting the accuracy of the 3D measurements. The two-frequency temporal phase unwrapping method is widely used due to its high efficiency. However, the use of only two fringe patterns in this method leads to reduced noise immunity and an increased phase error. Many researchers have focused on improving the two-frequency method, but little attention has been paid to enhancing its noise immunity. In this article, we propose a novel two-frequency phase unwrapping method. Firstly, we analyze the phase errors of the traditional 4fh + 4 fl two-frequency method and our proposed method in detail. Then, the feasibility of the proposed method has been validated through multiple experiments and simulation results. Finally, we provide solutions to the problems encountered in our proposed method. Through experiments and simulation, our proposed method reduces the phase error by 75.90% and 91.39% relative to the traditional 4fh + 4 fl method, in metal object and gypsum board experiments, respectively. The experimental results show that our proposed method significantly improves the reliability of phase unwrapping and reduces phase errors, thus enhancing the accuracy of 3D reconstruction.

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Funding

Funding was provided by Natural Science Foundation of Shandong Province (ZR2021MF024, ZR2021MF024, ZR2021MF024, ZR2021MF024, ZR2021MF024, ZR2021MF024, ZR2021MF024) and The Qingdao Natural Science Foundation under Grant (23-2-1-156-zyyd-jch).

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Authors and Affiliations

  1. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, 266520, China

    Jintao Liu, Shuo Shan, Peng Xu, Wen Zhang, Ze Li, Jianhua Wang & Jing Xie

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  1. Jintao Liu
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  2. Shuo Shan
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  3. Peng Xu
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  4. Wen Zhang
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  5. Ze Li
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  6. Jianhua Wang
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  7. Jing Xie
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Contributions

Jintao Liu prepared the main manuscript of the paper, Shuo Shan , Peng Xu ,Wen Zhang ,Ze Li ,Jianhua Wang , Jing Xie prepared all the figures in the manuscript, and all the authors reviewed the manuscript.

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Correspondence to Jianhua Wang or Jing Xie.

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Liu, J., Shan, S., Xu, P. et al. Improved two-frequency temporal phase unwrapping method in fringe projection profilometry. Appl. Phys. B 130, 42 (2024). https://doi.org/10.1007/s00340-024-08183-3

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