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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 35, Iss. 22 — Nov. 15, 2010
  • pp: 3718–3720

Fast frequency-guided sequential demodulation of a single fringe pattern

Li Kai and Qian Kemao  »View Author Affiliations


Optics Letters, Vol. 35, Issue 22, pp. 3718-3720 (2010)
http://dx.doi.org/10.1364/OL.35.003718


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Abstract

Fast frequency-guided sequential demodulation (FFSD) for demodulating a single closed-fringe pattern is proposed as an improvement of frequency-guided sequential demodulation (FSD). Instead of using optimization to estimate the local frequencies for determining the sign of the phase, the FFSD estimates the local frequencies by directly calculating the gradient of the obtained phase with an undetermined sign. This improvement considerably reduces the computational complexity of the FSD and leads to a faster and simpler method. Simulated and experimental fringe patterns are used to test the proposed method and show that the demodulation speed of FFSD is about 150 times faster than that of the FSD, while the robustness and accuracy remain almost the same.

© 2010 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3940) Instrumentation, measurement, and metrology : Metrology

ToC Category:
Image Processing

History
Original Manuscript: June 15, 2010
Revised Manuscript: October 9, 2010
Manuscript Accepted: October 9, 2010
Published: November 1, 2010

Citation
Li Kai and Qian Kemao, "Fast frequency-guided sequential demodulation of a single fringe pattern," Opt. Lett. 35, 3718-3720 (2010)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-22-3718


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References

  1. D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker, 1998).
  2. Q. Kemao and S. H. Soon, Opt. Lett. 32, 127 (2007). [CrossRef]
  3. H. Wang and Q. Kemao, Opt. Express 17, 15118 (2009). [CrossRef] [PubMed]
  4. H. Wang, K. Li, and Q. Kemao, “Frequency guided methods for demodulation of a single fringe pattern with quadratic phase matching,” (submitted to Opt. Express).
  5. M. Servin, J. A. Quiroga, and J. L. Marroquin, J. Opt. Soc. Am. A 20, 925 (2003). [CrossRef]
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  8. L. T. H. Nam and Q. Kemao, Proc. SPIE 7155, 71550T(2008). [CrossRef]
  9. J. Villa, I. De la Rosa, G. Miramontes, and J. A. Quiroga, J. Opt. Soc. Am. A 22, 2766 (2005). [CrossRef]
  10. Q. Kemao, Opt. Lasers Eng. 45, 304 (2007). [CrossRef]

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