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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 14 — May. 10, 2007
  • pp: 2670–2675

Multiscale windowed Fourier transform for phase extraction of fringe patterns

Jingang Zhong and Huiping Zeng  »View Author Affiliations


Applied Optics, Vol. 46, Issue 14, pp. 2670-2675 (2007)
http://dx.doi.org/10.1364/AO.46.002670


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Abstract

A multiscale windowed Fourier transform for phase extraction of fringe patterns is presented. A local stationary length of signal is used to control the window width of a windowed Fourier transform automatically, which is measured by an instantaneous frequency gradient. The instantaneous frequency of the fringe pattern is obtained by detecting the ridge of the wavelet transform. The numerical simulation and experiment have proved the validity of this method. The combination of the windowed Fourier transform and the wavelet transform makes the extracted phase more precise than other methods.

© 2007 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(100.7410) Image processing : Wavelets

ToC Category:
Image Processing

History
Original Manuscript: September 8, 2006
Revised Manuscript: January 3, 2007
Manuscript Accepted: January 10, 2007
Published: April 23, 2007

Citation
Jingang Zhong and Huiping Zeng, "Multiscale windowed Fourier transform for phase extraction of fringe patterns," Appl. Opt. 46, 2670-2675 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-14-2670


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References

  1. M. Takeda and K. Mutoh, "Fourier transform profilometry for the automatic measurement of 3D object shapes," Appl. Opt. 22, 3977-3982 (1983). [CrossRef] [PubMed]
  2. K. Qian, "Windowed Fourier transform for fringe pattern analysis," Appl. Opt. 43, 2695-2702 (2004). [CrossRef]
  3. R. G. Stockwell, L. Mansinha, and R. P. Lowe, "Localization of the complex spectrum: the S transform," IEEE Trans. Signal Process. 44, 998-1001 (1996). [CrossRef]
  4. L. R. Watkins, S. M. Tan, and T. H. Barnes, "Determination of interferometer phase distributions by use of wavelets," Opt. Lett. 24, 905-907 (1997). [CrossRef]
  5. K. Kadooka, K. Kunoo, N. Uda, K. Ono, and T. Nagayasu, "Strain analysis for moiré interferometry using the two-dimensional continuous wavelet transform," Exp. Mech. 43, 45-51 (2003). [CrossRef]
  6. C. J. Tay, C. Quan, Y. Fu, and Y. Huang, "Instantaneous velocity displacement and contour measurement by use of shadow moiré and temporal wavelet analysis," Appl. Opt. 43, 4164-4171 (2004). [CrossRef] [PubMed]
  7. J. Zhong and J. Weng, "Phase retrieval of optical fringe patterns from the ridge of a wavelet transform," Opt. Lett. 30, 2560-2562 (2005). [CrossRef] [PubMed]
  8. S. Mallat, A Wavelet Tour of Signal Processing (Academic, 1998).
  9. N. Delprat, B. Escudié, P. Guillemain, R. Kronland-Martinet, P. Tchamitchian, and B. Torrésani, "Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies," IEEE Trans. Inf. Theory 38, 644-664 (1992). [CrossRef]
  10. A. René, L. Wen, and B. Torrésani, "Characterization of signals by the ridges of their wavelet transforms," IEEE Trans. Signal Process. 45, 2586-2590 (1997). [CrossRef]
  11. X. Su and W. Chen, "Reliability-guided phase unwrapping algorithm: a review," Opt. Lasers Eng. 42, 245-261 (2004). [CrossRef]

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