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Applied Optics

Applied Optics


  • Vol. 42, Iss. 35 — Dec. 10, 2003
  • pp: 7066–7071

Phase retrieval in digital speckle pattern interferometry by use of a smoothed space–frequency distribution

Alejandro Federico and Guillermo H. Kaufmann  »View Author Affiliations

Applied Optics, Vol. 42, Issue 35, pp. 7066-7071 (2003)

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We evaluate the use of a smoothed space-frequency distribution (SSFD) to retrieve optical phase maps in digital speckle pattern interferometry (DSPI). The performance of this method is tested by use of computer-simulated DSPI fringes. Phase gradients are found along a pixel path from a single DSPI image, and the phase map is finally determined by integration. This technique does not need the application of a phase unwrapping algorithm or the introduction of carrier fringes in the interferometer. It is shown that a Wigner-Ville distribution with a smoothing Gaussian kernel gives more-accurate results than methods based on the continuous wavelet transform. We also discuss the influence of filtering on smoothing of the DSPI fringes and some additional limitations that emerge when this technique is applied. The performance of the SSFD method for processing experimental data is then illustrated.

© 2003 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry

Original Manuscript: March 21, 2003
Revised Manuscript: August 26, 2003
Published: December 10, 2003

Alejandro Federico and Guillermo H. Kaufmann, "Phase retrieval in digital speckle pattern interferometry by use of a smoothed space–frequency distribution," Appl. Opt. 42, 7066-7071 (2003)

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  1. J. M. Huntley, “Automated analysis of speckle interferograms,” in Digital Speckle Pattern Interferometry and Related Techniques, P. K. Rastogi, ed. (Wiley, Chichester, UK, 2001), pp. 59–139.
  2. M. Kujawinska, “Spatial phase measurement methods,” in Interferogram Analysis, D. Robinson, G. Reid, eds. (Institute of Physics, Bristol, UK, 1993), pp. 145–193.
  3. X. Colonna De Lega, “Continuous deformation measurement using dynamic phase-shifting and wavelet transform,” in Applied Optics and Optoelectronics 1996, K. T. V. Grattan, ed. (Institute of Physics, Bristol, UK, 1996), pp. 261–267.
  4. L. Watkins, S. Tan, T. Barnes, “Determination of interferometer phase distributions by use of wavelets,” Opt. Lett. 24, 905–907 (1999). [CrossRef]
  5. N. Delprat, B. Escudié, P. Guillemain, R. Kronland-Martinet, P. Tchamitchian, B. Torrsani, “Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies,” IEEE Trans. Inf. Theory 38, 644–664 (1992). [CrossRef]
  6. M. Afifi, A. Fassi-Fihri, M. Marjane, K. Nassim, S. Rachafi, “Paul wavelet-based algorithm for optical phase distribution evaluation,” Opt. Commun. 211, 47–51 (2002). [CrossRef]
  7. L. Cohen, “Time-frequency distributions—a review,” Proc. IEEE 77, 941–981 (1989). [CrossRef]
  8. A. Federico, G. H. Kaufmann, “Comparative study of wavelet thresholding methods for denoising electronic speckle pattern interferometry fringes,” Opt. Eng. 40, 2598–2604 (2001). [CrossRef]
  9. B. Boashash, “Estimating and interpreting the instantaneous frequency of a signal. 1. Fundamentals,” Proc. IEEE 80, 520–538 (1992). [CrossRef]
  10. F. Hlawatsch, G. Boudreaux-Bartels, “Linear and quadratic time-frequency signal representations,” IEEE Signal Process Mag. 9, 21–67 (1992). [CrossRef]
  11. T. Claasen, W. Mecklenbräuker, “The Wigner distribution—a tool for time-frequency signal analysis. I. Continuous-time signals,” Philips J. Res. 35, 217–250 (1980).
  12. S. Mallat, A Wavelet Tour of Signal Processing (Academic, San Diego, Calif., 1998).
  13. A. Federico, G. H. Kaufmann, “Evaluation of the continuous wavelet transform method for the phase measurement of electronic speckle pattern interferometry fringes,” Opt. Eng. 41, 3209–3216 (2002). [CrossRef]
  14. G. H. Kaufmann, “Nondestructive testing with thermal waves using phase shifted temporal speckle pattern interferometry,” Opt. Eng. 42, 2010–2014 (2003). [CrossRef]

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