OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 5 — Mar. 5, 2007
  • pp: 2288–2298

Local adaptable quadrature filters to demodulate single fringe patterns with closed fringes.

J. C. Estrada, M. Servin, and J. L. Marroquín  »View Author Affiliations


Optics Express, Vol. 15, Issue 5, pp. 2288-2298 (2007)
http://dx.doi.org/10.1364/OE.15.002288


View Full Text Article

Enhanced HTML    Acrobat PDF (1595 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We propose a new approach to demodulate a single fringe pattern with closed fringes by using Local Adaptable Quadrature Filters (LAQF). Quadrature filters have been widely used to demodulate complete image interferograms with carrier frequency. However, in this paper, we propose the use of quadrature filters locally, assuming that the phase is locally quasimonochromatic, since quadrature filters are not capable to demodulate image interferograms with closed fringes. The idea, in this paper, is to demodulate the fringe pattern with closed fringes sequentially, using a fringe following scanning strategy. In particular we use linear robust quadrature filters to obtain a fast and robust demodulation method for single fringe pattern images with closed fringes. The proposed LAQF method does not require a previous fringe pattern normalization. Some tests with experimental interferograms are shown to see the performance of the method along with comparisons to its closest competitor, which is the Regularized Phase Tracker (RPT), and we will see that this method is tolerant to higher levels of noise.

© 2007 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: November 29, 2006
Revised Manuscript: January 25, 2007
Manuscript Accepted: January 29, 2007
Published: March 5, 2007

Citation
J. C. Estrada, M. Servin, and J. L. Marroquín, "Local adaptable quadrature filters to demodulate single fringe patterns with closed fringes," Opt. Express 15, 2288-2298 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-5-2288


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. Takeda, H. Ina, and S. Kobayashi, "Fourier transform methods of fringe-pattern analysis for computer-based topography and interferometry," J. Opt. Soc. Am. 72, 156-160 (1982). [CrossRef]
  2. T. Kreis, "Digital holographic interference-phase measurement using the Fourier-transform method," J. Opt. Soc. Am. A  3, 847-855, 1986. [CrossRef]
  3. K. G. Larkin, D. J. Bone, and M. A. Oldfield, "Natural demodulation of two-dimensional fringe patterns. I. general background of the spiral phase quadrature transform," J. Opt. Soc. Am. A  18, 1862-1870 (2001). [CrossRef]
  4. K. G. Larkin, "Natural demodulation of two-dimensional fringe patterns. II. Stationary phase analysis of the spiral phase quadrature transform," J. Opt. Soc. Am. A  18, 1871-1881 (2001). [CrossRef]
  5. M. Servin, J. A. Quiroga, and J. L. Marroquin, "General n-dimensional quadrature transform and its application to interferogram demodulation," J. Opt. Soc. Am. A  20, 925-934 (2003). [CrossRef]
  6. M. Servin and 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]
  7. J. A. Quiroga, J. A G’omez-Pedrero, and A. Garc’ıa-Botella, "Algorithm for fringe pattern normalization," Opt. Commun.  19, 743-51 (2001). [CrossRef]
  8. J. A. Quiroga and M. Servin, "Isotropic n-dimensional fringe pattern normalization," Opt. Commun.  22, 4221- 227 (2003). [CrossRef]
  9. J. A. Guerrero, J. L. Marroquin, and M. Rivera, "Adaptive monogenic filtering and normalization of ESPI fringe patterns," Opt. Lett.  30, 318-320 (2005). [CrossRef]
  10. B. Strobel, "Processing of interferometric phase maps as complex-valued phasor images," Appl. Opt.  35, 2192- 2198 (1996). [CrossRef] [PubMed]
  11. E. O. Brigham, The fast fourier tranform. (Prentice-Hall, 1974).
  12. R. Legarda-S’aenz and W. Osten and W. J¨uptner, "Improvement of the Regularized Phase Tracking Technique for the Processing of Nonnormalized Fringe Patterns," Appl. Opt.  41, 5519-5526 (2002).Q1 [CrossRef] [PubMed]
  13. M. Rivera, "Robust phase demodulation of interferograms with open or closed fringes," J. Opt. Soc. Am. A  22, 1170-1175 (2005). [CrossRef]
  14. R. Legarda-Saenz and M. Rivera, "Fast half-quadratic regularized phase tracking for nonnormalized fringe patterns," J. Opt. Soc. Am. A  23, 2724-2731 (2006). [CrossRef]
  15. J. L. Marroquin and J. E. Figueroa and M. Servin, "Robust quadrature filters," J. Opt. Soc. Am. A 14, 779-791 (1997). [CrossRef]
  16. Jorge Nocedal and Stephen J. Wright, Numerical Optimization. Springer (1999).

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