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基于梯度下降法的二帧相移提取算法

Two-Frame Phase Shift Extraction Algorithm Based on Gradient Descent Algorithm

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摘要

二帧相移提取算法具有所需条纹图数量少、处理速度快的特点,但由于二帧相移技术存在病态性问题,使算法的设计充满了挑战,鉴于此,提出一种二帧随机时域相移条纹图相移提取算法。该算法先通过高通滤波去除条纹图的背景项,再结合振幅方均根的分布规律,利用梯度下降法搜索振幅方均根的最小值,进而提取引入的相移,最后利用二步相移算法获得测量相位。仿真与实验结果表明:与其他经典算法相比,所提算法具有恢复相位误差小,对噪声不敏感等特点,且简单灵活,易于应用。

Abstract

Two-frame phase shift extraction algorithm is characterized by small number of fringe patterns and fast processing speed. However, there are many challenges related to the design of this algorithm because of the pathological problems associated with the two-frame phase shift technology. In this study, a phase shift extraction algorithm is proposed for a two-frame random time-domain phase-shifted fringe pattern. First, the background term of the fringe pattern was eliminated using high-pass filtering. Subsequently, the minimum square root of the amplitude was searched using the gradient descent algorithm in combination with the square root distribution law of amplitude. Then, the introduced phase shift was extracted. Finally, the two-step phase shift algorithm was used to obtain the measured phase. The simulation and experimental results show that compared with other classical algorithms, the proposed algorithm exhibits various features, including small recovery phase error and noise insensitivity. Furthermore, the proposed algorithm is simple, flexible, and easy to apply.

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中图分类号:O436

DOI:10.3788/LOP57.131205

所属栏目:仪器,测量与计量

基金项目:国家自然科学基金、西安科技局科技创新引导项目;

收稿日期:2019-08-17

修改稿日期:2019-10-29

网络出版日期:2020-07-01

作者单位    点击查看

张少锋:西安工业大学机电工程学院, 陕西 西安 710021
杜虎兵:西安工业大学机电工程学院, 陕西 西安 710021
郭瑞清:西安工业大学机电工程学院, 陕西 西安 710021
何周旋:西安工业大学机电工程学院, 陕西 西安 710021

联系人作者:杜虎兵(duhubing@xatu.edu.cn)

备注:国家自然科学基金、西安科技局科技创新引导项目;

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引用该论文

Zhang Shaofeng,Du Hubing,Guo Ruiqing,He Zhouxuan. Two-Frame Phase Shift Extraction Algorithm Based on Gradient Descent Algorithm[J]. Laser & Optoelectronics Progress, 2020, 57(13): 131205

张少锋,杜虎兵,郭瑞清,何周旋. 基于梯度下降法的二帧相移提取算法[J]. 激光与光电子学进展, 2020, 57(13): 131205

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