Interferometry

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

[+] Author Affiliations
Hong Zhang, Michael J. Lalor, David R. Burton

Liverpool John Moores University, School of Engineering, Coherent & Electro-Optics Research Group, Byrom Street, Liverpool?L3?3AF, United Kingdom

Opt. Eng. 38(9), 1524-1533 (Sep 01, 1999). doi:10.1117/1.602203
History: Received May 29, 1998; Revised Nov. 6, 1998; Accepted Feb. 15, 1999
Text Size: A A A

Abstract

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 root-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. © 1999 Society of Photo-Optical Instrumentation Engineers.

© 1999 Society of Photo-Optical Instrumentation Engineers

Citation

Hong Zhang ; Michael J. Lalor and David R. Burton
"Robust, accurate seven-sample phase-shifting algorithm insensitive to nonlinear phase-shift error and second-harmonic distortion: a comparative study", Opt. Eng. 38(9), 1524-1533 (Sep 01, 1999). ; http://dx.doi.org/10.1117/1.602203


Figures

Tables

Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging & repositioning the boxes below.

Related Book Chapters

Topic Collections

PubMed Articles
Advertisement
  • Don't have an account?
  • Subscribe to the SPIE Digital Library
  • Create a FREE account to sign up for Digital Library content alerts and gain access to institutional subscriptions remotely.
Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).
Access This Proceeding
Sign in or Create a personal account to Buy this article ($15 for members, $18 for non-members).
Access This Chapter

Access to SPIE eBooks is limited to subscribing institutions and is not available as part of a personal subscription. Print or electronic versions of individual SPIE books may be purchased via SPIE.org.