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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 27 — Sep. 20, 2013
  • pp: 6804–6812

Fringe phase extraction using windowed Fourier transform guided by principal component analysis

Zhihui Zhang and Hongwei Guo  »View Author Affiliations


Applied Optics, Vol. 52, Issue 27, pp. 6804-6812 (2013)
http://dx.doi.org/10.1364/AO.52.006804


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Abstract

The windowed Fourier transform (WFT) has been recognized as an effective tool for extracting phase map from a single fringe pattern. This paper presents a new WFT-based algorithm, which is guided by the principal component analysis (PCA) of the fringe pattern. With it, the principal direction of frequency at each pixel is determined first by using the PCA of the gradients of the fringe pattern, and then the windowed Fourier ridge for each pixel is detected by searching a one-dimensional space of frequency, so that the computational burden for phase extraction is alleviated significantly. In addition, this technique enables automatically identifying and excluding the regions of singular points from the fringe pattern by using the eigenvalues resulting from the PCA just mentioned. Numerical simulation and experiment are carried out to demonstrate the validity of this method.

© 2013 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: June 24, 2013
Revised Manuscript: August 22, 2013
Manuscript Accepted: August 23, 2013
Published: September 19, 2013

Citation
Zhihui Zhang and Hongwei Guo, "Fringe phase extraction using windowed Fourier transform guided by principal component analysis," Appl. Opt. 52, 6804-6812 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-27-6804


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References

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