Fourier analysis of the sampling characteristics of the phase-shifting algorithm

Hongwei Guo; Mingyi Chen

doi:10.1117/12.505277

22 December 2003 Fourier analysis of the sampling characteristics of the phase-shifting algorithm

Hongwei Guo, Mingyi Chen

Proceedings Volume 5180, Optical Manufacturing and Testing V; (2003) https://doi.org/10.1117/12.505277
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

In this paper, we analyze the phase-shifting algorithm by utilizing Fourier transformation theory. In fact, the phase-shifting algorithm is corresponding to a discrete Fourier transformation (DFT), the image capturing operation is a temporal sampling procedure, and the purpose of phase-shifting technique is to retrieve the phase of one frequency component. According to the sampling theory, if the number of phase steps is too less that means a too low sampling frequency is adopted, the frequency of interest will be mixed with high order spectra. By mathematical analysis, the relationship between the number of phase steps and the effect of harmonics is deduced, and the criterion of selecting phase step number is discussed. The applications of the Fourier analysis in digital fringe projection profilometry are described.

Citation Download Citation

Hongwei Guo and Mingyi Chen "Fourier analysis of the sampling characteristics of the phase-shifting algorithm", Proc. SPIE 5180, Optical Manufacturing and Testing V, (22 December 2003); https://doi.org/10.1117/12.505277

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available