OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 16 — Jun. 1, 2011
  • pp: 2425–2430

Two-dimensional continuous wavelet transform for phase determination of complex interferograms

Jun Ma, Zhaoyang Wang, Bing Pan, Thang Hoang, Minh Vo, and Long Luu  »View Author Affiliations


Applied Optics, Vol. 50, Issue 16, pp. 2425-2430 (2011)
http://dx.doi.org/10.1364/AO.50.002425


View Full Text Article

Enhanced HTML    Acrobat PDF (1023 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A robust two-dimensional continuous wavelet transform (2D-CWT) technique for interferogram analysis is presented. To cope with the phase determination ambiguity issue encountered in the analysis of complex interferograms, a phase determination rule is proposed according to the phase distribution continuity, and a frequency-guided scheme is employed to obtain the correct phase distribution following a conventional 2D-CWT analysis. The theories are given in details, and the validity of the proposed technique is verified by computer simulation and real experiments.

© 2011 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(100.7410) Image processing : Wavelets

ToC Category:
Image Processing

History
Original Manuscript: December 17, 2010
Revised Manuscript: February 9, 2011
Manuscript Accepted: February 26, 2011
Published: May 25, 2011

Citation
Jun Ma, Zhaoyang Wang, Bing Pan, Thang Hoang, Minh Vo, and Long Luu, "Two-dimensional continuous wavelet transform for phase determination of complex interferograms," Appl. Opt. 50, 2425-2430 (2011)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-16-2425


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982). [CrossRef]
  2. Q. Kemao, “Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations,” Opt. Lasers Eng. 45, 304–317 (2007). [CrossRef]
  3. P. Tomassini, A. Giulietti, L. A. Gizzi, M. Galimberti, D. Giulietti, M. Borghesi, and O. Willi, “Analyzing laser plasma interferograms with a continuous wavelet transform ridge extraction technique: The method,” Appl. Opt. 40, 6561–6568(2001). [CrossRef]
  4. K. Kadooka, K. Kunoo, N. Uda, K. Ono, and T. Nagayasu, “Strain analysis for moir interferometry using the two-dimensional continuous wavelet transform,” Exp. Mech. 43, 45–51 (2003). [CrossRef]
  5. H. Wang and Q. Kemao, “Frequency guided methods for demodulation of a single fringe pattern,” Opt. Express 17, 15118–15127 (2009). [CrossRef] [PubMed]
  6. 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] [PubMed]
  7. 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]
  8. M. Servin, J. L. Marroquin, and J. A. Quiroga, “Regularized quadrature and phase tracking from a single closed-fringe interferogram,” J. Opt. Soc. Am. A 21, 411–419 (2004). [CrossRef]
  9. K. Li and K. Qian, “Fast frequency-guided sequential demodulation of a single fringe pattern,” Opt. Lett. 35, 3718–3720(2010). [CrossRef]
  10. K. Li and B. Pan, “Frequency-guided windowed Fourier ridges technique for automatic demodulation of a single closed fringe pattern,” Appl. Opt. 49, 56–60 (2010). [CrossRef] [PubMed]
  11. H. Liu, A. N. Cartwright, and C. Basaran, “Moire interferogram phase extraction: A ridge detection algorithm for continuous wavelet transforms,” Appl. Opt. 43, 850–857 (2004). [CrossRef] [PubMed]
  12. Z. Wang and H. Ma, “Advanced continuous wavelet transform algorithm for digital interferogram analysis and processing,” Opt. Eng. 45, 045601 (2006). [CrossRef]
  13. H. Niu, C. Quan, and C. Tay, “Phase retrieval of speckle fringe pattern with carriers using 2D wavelet transform,” Opt. Lasers Eng. 47, 1334–1339 (2009). [CrossRef]
  14. M. Gdeisat, D. Burton, F. Lilley, M. Lalor, and C. Moore, “Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous Paul wavelet transform,” AIP Conf. Proc. 1236, 112–117 (2010). [CrossRef]
  15. S. Li, X. Su, and W. Chen, “Wavelet ridge techniques in optical fringe pattern analysis,” J. Opt. Soc. Am. A 27, 1245–1254(2010). [CrossRef]
  16. M. A. Gdeisat, D. R. Burton, and M. J. Lalor, “Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform,” Appl. Opt. 45, 8722–8732 (2006). [CrossRef] [PubMed]
  17. J. Antoine, R. Murenzi, P. Vandergheynst, and S. T. Ali, Two-Dimensional Wavelets and Their Relatives (Cambridge University, 2004). [CrossRef]

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited