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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 4 — Feb. 1, 2000
  • pp: 502–508

Improved regularized phase-tracking technique for the processing of squared-grating deflectograms

Jesús Villa, Juan Antonio Quiroga, and Manuel Servín  »View Author Affiliations


Applied Optics, Vol. 39, Issue 4, pp. 502-508 (2000)
http://dx.doi.org/10.1364/AO.39.000502


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Abstract

We propose a robust procedure based on the regularized phase-tracking (RPT) technique to demodulate squared-grating deflectograms. The use of squared gratings, already reported, lets us multiplex the information of the deflections in two orthogonal directions in a single image, thus avoiding the necessity of rotating the gratings. The good noise-rejection characteristics of the RPT technique are improved by use of a quasi-Newton optimization algorithm and a quality-map-based algorithm for the crystal-growing process.

© 2000 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
(120.4120) Instrumentation, measurement, and metrology : Moire' techniques
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(170.4460) Medical optics and biotechnology : Ophthalmic optics and devices

Citation
Jesús Villa, Juan Antonio Quiroga, and Manuel Servín, "Improved regularized phase-tracking technique for the processing of squared-grating deflectograms," Appl. Opt. 39, 502-508 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-4-502


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References

  1. A. W. Lohmann and D. E. Silva, “An interferometer based on talbot effect,” Opt. Commun. 2, 413–415 (1971).
  2. O. Kafri and I. Glatt, The Physics of Moiré Metrology (Wiley, New York, 1989).
  3. O. Kafri and A. Livnat, “Reflective surface analysis using moiré deflectometry,” Appl. Opt. 26, 2507–2508 (1987).
  4. Z. Karny and O. Kafri, “Refractive-index measurement by moiré deflectometry,” Appl. Opt. 21, 3326–3328 (1982).
  5. E. Keren and E. Bar-Ziv, “Measurements of temperature distribution flames by moiré deflectometry,” Appl. Opt. 20, 4263–4266 (1981).
  6. M. Servín and R. Rodriguez-Vera, “Automatic fringe detection algorithm used for moiré deflectometry,” Appl. Opt. 29, 3266–3270 (1990).
  7. H. Canabal and J. A. Quiroga, “Automatic processing in moiré deflectometry by local fringe direction calculation,” Appl. Opt. 37, 5894–5901 (1998).
  8. T. Pfeifer and B. Wang, “Phase-shifting moiré deflectometry,” Optik 98, 158–162 (1995).
  9. H. Canabal, J. A. Quiroga, and E. Bernabeu, “Improved phase-shifting method for automatic processing of moiré deflectograms,” Appl. Opt. 37, 6227–6233 (1998).
  10. E. Keren and O. Kafri, “Diffraction effects in moiré deflectometry,” J. Opt. Soc. Am. A 2, 111–120 (1985).
  11. E. Bar-Ziv, “Effect of diffraction on the moiré image,” J. Opt. Soc. Am. A 2, 371–379 (1985).
  12. M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. A 72, 156–160 (1982).
  13. M. Takeda and S. Kobayashi, “Lateral aberration measurements with a digital Talbot interferometer,” Appl. Opt. 23, 1760–1764 (1984).
  14. J. A. Quiroga, D. Crespo, and E. Bernabeu, “Fourier transform method for automatic processing of moiré deflectograms,” Opt. Eng. 38, 974–982 (1999).
  15. C. Roddier and F. Roddier, “Interferogram analysis using Fourier transform techniques,” Appl. Opt. 26, 1668–1673 (1987).
  16. J. Gu and F. Chen, “Fast Fourier transform, iteration, and least-squares-fit demodulation image processing of single-carrier fringe pattern,” J. Opt. Soc. Am. A 12, 2159–2164 (1995).
  17. M. Servín, J. L. Marroquín, 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).
  18. J. C. Wyant, “Double frequency grating lateral shear interferometer,” Appl. Opt. 12, 2057–2060 (1973).
  19. J. M. Huntley and J. E. Field, “High resolution moiré photography: application to dynamic stress analysis,” Opt. Eng. 28, 926–933 (1989).
  20. M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging (Institute of Physics, London, 1998), Chap. 5.
  21. Matlab Optimization Toolbox, User’s Guide, Version 5 (MathWorks Inc., 24 Prime Park Way, Natick, Mass., 01760–1500).
  22. B. Ströbel, “Processing of interferometric phase maps as complex-valued phasor images,” Appl. Opt. 35, 2192–2198 (1996).
  23. R. L. Burden and J. D. Faires, Numerical Analysis, 6th ed. (International Thomson Publishing, Stamford, Conn., 1997).
  24. J. Alonso, J. A. Gomez-Pedrero, and E. Bernabeu, “Local dioptric power matrix in a progressive addition lens,” Ophthalmic Physiol. Opt. 17, 522–529 (1997).

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