Robust, accurate seven-sample phase-shifting algorithm insensitive to nonlinear phase-shift error and second-harmonic distortion: a comparative study

作     者：Zhang, H Lalor, MJ Burton, DR 

作者机构：Liverpool John Moores Univ Sch Engn Coherent & Electroopt Res Grp Liverpool L3 3AF Merseyside England 

出 版 物：《OPTICAL ENGINEERING》 (光学工程)

年 卷 期：1999年第38卷第9期

页      面：1524-1533页

核心收录：

学科分类：08[工学] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 081102[工学-检测技术与自动化装置] 0811[工学-控制科学与工程] 0702[理学-物理学] 

主　　题：interferometry phase-shifting algorithm fringe analysis 3-D fringe projection profilometry 

摘      要：A new seven-sample algorithm is derived, based on the Surrel six-sample algorithm, by using the averaging technique. The sensitivities of phase-shifting algorithms to phase-shift error and harmonics of nonsinusoidal waveforms are analyzed by the Fourier description method. Plots of the roof-mean-square phase error, produced by computer simulation, are presented in order to compare the new algorithm with the other four well-known phase-shifting algorithms. It is shown that the new algorithm is the least sensitive to linear phase-shift error and to quadratic nonlinear phase-shift error with linear compensation, when the fringe signal contains the second-harmonic distortion. A 3-D fringe projection phase-shifting profilometer was constructed using a white light source and projecting a quasisinusoidal grating with some second-harmonic distortion. Experiments were carried out to compare the five phase-shifting algorithms when different phase-shift errors exist, and the shape of a 3-D object was measured using the new seven-sample algorithm, (C) 1999 Society of Photo-Optical Instrumentation Engineers. [S0091-3286(99)00109-9].