OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 2 — Feb. 1, 2010
  • pp: 276–285

Fourier analysis of two-stage phase-shifting algorithms

Marta Miranda and Benito V. Dorrío  »View Author Affiliations


JOSA A, Vol. 27, Issue 2, pp. 276-285 (2010)
http://dx.doi.org/10.1364/JOSAA.27.000276


View Full Text Article

Enhanced HTML    Acrobat PDF (678 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Differential phase-shifting algorithms (DPSAs) and sum phase-shifting algorithms (SPSAs) recover directly the phase difference and the phase sum, respectively, encoded in two patterns. These algorithms can be obtained, for instance, by an appropriate combination of phase-shifting algorithms (PSAs), which makes unnecessary the previous calculation and subtraction or addition of each individual optical phase by means of conventional PSAs. A filtering process in the frequency domain is presented that allows us to obtain in a simple and elegant manner a qualitative characterization with a Fourier description of the two-stage phase-shifting evaluation that reveals possible phase shifter miscalibration errors and unexpected harmonics in the signal.

© 2010 Optical Society of America

OCIS Codes
(050.5080) Diffraction and gratings : Phase shift
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(120.5060) Instrumentation, measurement, and metrology : Phase modulation
(070.2615) Fourier optics and signal processing : Frequency filtering

ToC Category:
Image Processing

History
Original Manuscript: August 6, 2009
Revised Manuscript: November 24, 2009
Manuscript Accepted: December 1, 2009
Published: January 25, 2010

Citation
Marta Miranda and Benito V. Dorrío, "Fourier analysis of two-stage phase-shifting algorithms," J. Opt. Soc. Am. A 27, 276-285 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-2-276

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited