OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 1 — Jan. 1, 2010
  • pp: 56–60

Frequency-guided windowed Fourier ridges technique for automatic demodulation of a single closed fringe pattern

Kai Li and Bing Pan  »View Author Affiliations


Applied Optics, Vol. 49, Issue 1, pp. 56-60 (2010)
http://dx.doi.org/10.1364/AO.49.000056


View Full Text Article

Enhanced HTML    Acrobat PDF (413 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A frequency-guided windowed Fourier ridges (FG-WFR) technique for phase extraction from a single closed fringe pattern is proposed. The algorithm begins with a selected seed point and is then guided by the local frequency of the computed pixels. For the seed point, the whole spectral range is examined with WFR to provide reliable local frequency and phase estimation. However, for the rest of the pixels, the WFR algorithm is performed in a more narrow spectral range centered at the determined frequency of its computed neighboring pixel, which not only enforces the continuity of the local frequency between adjacent pixels but also reduces computation consumption significantly. Besides, since phase unwrapping can be readily implemented after demodulation of each pixel, the algorithm directly offers a continuous phase map. The proposed FG-WFR algorithm is verified by successfully demodulating two computer simulated fringe patterns and one noisy experimental fringe pattern.

© 2010 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(120.3940) Instrumentation, measurement, and metrology : Metrology

ToC Category:
Image Processing

History
Original Manuscript: August 26, 2009
Revised Manuscript: November 8, 2009
Manuscript Accepted: November 20, 2009
Published: December 21, 2009

Citation
Kai Li and Bing Pan, "Frequency-guided windowed Fourier ridges technique for automatic demodulation of a single closed fringe pattern," Appl. Opt. 49, 56-60 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-1-56


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. Takeda and K. Mutoh, “Fourier transform profilometry for the automatic measurement of 3-D object shapes,” Appl. Opt. 22, 3977-3982 (1983). [CrossRef]
  2. D. J. Bone, H. A. Bachor, and R. J. Sandeman, “Fringe-pattern analysis using a 2-D Fourier transform,” Appl. Opt. 25, 1653-1660 (1986). [CrossRef]
  3. X. Su and W. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35, 263-284 (2001).
  4. M. Servin, J. L. Marroquin, and F. J. Cuevas, “Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique,” Appl. Opt. 36, 4540-4548(1997). [CrossRef]
  5. M. Servin, J. L. Marroquin, and F. J. Cuevas, “Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms,” J. Opt. Soc. Am. A 18, 689-695 (2001). [CrossRef]
  6. L. S. Ricardo and R. Mariano, “Fast half-quadratic regularized phase tracking for nonnormalized fringe patterns,” J. Opt. Soc. Am. A 23, 2724-2731 (2006). [CrossRef]
  7. Q. Kemao and S. H. Soon, “Sequential demodulation of a single fringe pattern guided by local frequencies,” Opt. Lett. 32, 127-129 (2007). [CrossRef]
  8. C. J. Tay, C. Quan, S. Wei, and X. Y. He, “Demodulation of a single interferogram based on continuous wavelet transform and phase derivative,” Opt. Commun. 280, 327-336 (2007). [CrossRef]
  9. Q. Kemao, “Windowed Fourier transform for fringe pattern analysis,” Appl. Opt. 43, 2695-2702 (2004). [CrossRef]
  10. Q. Kemao, “Two-dimensional windowed Fourier transform for fringe pattern analysis: principles, application and implementation,” Opt. Lasers Eng. 45, 304-317 (2007).
  11. Q. Kemao, L. T. H. Nam, L. Feng, and S. H. Soon, “Comparative analysis on some filters for wrapped phase maps,” Appl. Opt. 46, 7412-7418 (2007). [CrossRef]
  12. L. Huang, Q. Kemao, B. Pan, and A. Asundi, “Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe,” Opt. Lasers Eng. doi:10.1016/j.optlaseng (2009). [CrossRef]
  13. X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42, 245-261 (2004).
  14. B. Pan, “Reliability-guided digital image correlation for image deformation measurement,” Appl. Opt. 48, 1535-1542 (2009). [CrossRef]
  15. B. Pan, Z. Y. Wang, and Z. X. Lu, “Genuine full-field deformation measurement of an object with complex shape using reliability-guided digital image correlation,” Opt. Express (to be published).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited