Generic and flexible self-correction method for nonlinearity-induced phase error in three-dimensional imaging  

作　　者：Jianhua Wang Peng Xu Yanxi Yang 王建华;徐鹏;杨延西(School of Information and Control Engineering,Qingdao University of Technology,Qingdao 266520,China;School of Automation and Information Engineering,Xi’an University of Technology,Xi’an 710048,China)

机构地区：[1]School of Information and Control Engineering,Qingdao University of Technology,Qingdao 266520,China [2]School of Automation and Information Engineering,Xi’an University of Technology,Xi’an 710048,China

出　　处：《Chinese Optics Letters》2024年第6期129-135,共7页中国光学快报（英文版）

基　　金：supported by the Natural Science Foundation of Shandong Province (No.ZR2021MF024);the National Natural Science Foundation of China (No.62273274)。

摘　　要：In three-dimensional imaging employing phase-shifting profilometry(PSP), the nonlinear response of projector and camera makes the fringe gray distribution non-sinusoidal, which further leads to phase error. Although the double 3-step phaseshifting method is simple and effective, it needs to add an additional set of fringe sequences, which reduces the measurement efficiency. To this end, this paper introduces a generic and flexible self-correction method for nonlinearity-induced phase error.First, according to the nonlinearity-induced phase error model, we introduce an additional wrapped phase with a phase difference of π/3. The error waveform of the two wrapped phases is opposite but not coincident. Then, we introduce an estimation algorithm for the additional wrapped phase offset. Finally, we fuse the two wrapped phases to correct the phase error. Experiments confirm that the root mean squared error of the proposed method is 64.1% lower than that of the traditional method and 13.3% lower than that of the Hilbert transform method. The proposed method does not require any additional fringes or hardware assistance and can be easily extended to 4-step or 5-step PSP.

关 键 词：three-dimensional imaging phase-shifting profilometry nonlinear response SELF-CORRECTION Hilbert transform 

分 类 号：O439[机械工程—光学工程]