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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 26 — Sep. 10, 2013
  • pp: 6572–6578

Phase shift estimation from variances of fringe pattern differences

Hongwei Guo and Zhihui Zhang  »View Author Affiliations


Applied Optics, Vol. 52, Issue 26, pp. 6572-6578 (2013)
http://dx.doi.org/10.1364/AO.52.006572


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Abstract

This paper presents a simple algorithm for estimating phase shifts from only three interferograms. In it, the fringe pattern differences are computed first in order to remove the background component, and then the variances and further the standard deviations (SDs) of fringe pattern differences are calculated. The phase shifts are estimated, by using the law of cosines, from a triangle whose lengths of sides are the SDs just calculated. This algorithm offers several advantages over others, e.g., being efficient, easy to implement, accurate, and less sensitive to noise. Numerical simulations and an experiment are performed to demonstrate its validity.

© 2013 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: June 26, 2013
Revised Manuscript: August 14, 2013
Manuscript Accepted: August 17, 2013
Published: September 9, 2013

Citation
Hongwei Guo and Zhihui Zhang, "Phase shift estimation from variances of fringe pattern differences," Appl. Opt. 52, 6572-6578 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-26-6572

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