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Applied Optics

Applied Optics


  • Vol. 42, Iss. 32 — Nov. 10, 2003
  • pp: 6504–6513

Instantaneous frequency and its application to strain extraction in moire interferometry

Qian Kemao, Seah Hock Soon, and Anand Asundi  »View Author Affiliations

Applied Optics, Vol. 42, Issue 32, pp. 6504-6513 (2003)

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Moire interferometry is an effective experimental technique for measurement of in-plane deformation. However, it is information on the derivatives of the deformation, i.e., strains, that is usually desired in experimental mechanics. It is shown that the desired strains are the instantaneous frequencies of the fringe pattern and that either an energy operator or wavelet ridges can be used to extract the instantaneous frequencies from a single fringe pattern. The energy operator is a pixelwise processor; thus the strain extraction can be done on the fly, but it is sensitive to noise. The wavelet ridges extract the local features in the fringe pattern. The strain extraction is thus insensitive to noise, and good results are obtainable at the cost of longer computation time. The two methods can thus be chosen for different needs in strain analysis. The properties of the two methods as well as their applications to a real fringe pattern are given. The effectiveness of the proposed methods is illustrated by their comparison with traditional methods.

© 2003 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.7410) Image processing : Wavelets
(120.3180) Instrumentation, measurement, and metrology : Interferometry

Original Manuscript: August 7, 2003
Published: November 10, 2003

Qian Kemao, Seah Hock Soon, and Anand Asundi, "Instantaneous frequency and its application to strain extraction in moire interferometry," Appl. Opt. 42, 6504-6513 (2003)

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  1. D. Post, B. Han, P. Ifju, High Sensitivity Moiré (Springer-Verlag, Berlin, 1994). [CrossRef]
  2. D. W. Robinson, G. T. Reid, eds., Interferogram Analysis: Digital Fringe Pattern Measurement Techniques (Institute of Physics, Bristol, UK, 1993).
  3. A. Asundi, M. T. Cheung, “Moiré of moiré interferometry,” Exp. Tech. 11(8), 28–30 (1987). [CrossRef]
  4. A. K. Asundi, “Moiré methods using computer-generated gratings,” Opt. Eng. 32, 107–116 (1993). [CrossRef]
  5. A. Asundi, W. Jun, “Strain contouring using Gabor filters: principle and algorithm,” Opt. Eng. 41, 1400–1405 (2002). [CrossRef]
  6. S. L. Hahn, Hilbert Transforms in Signal Processing (Artech House, Norwood, Mass., 1996).
  7. P. Maragos, A. C. Bovik, T. F. Quatieri, “A multidimensional energy operator for image processing,” in Visual Communications and Image Processing ’92, P. Maragos, ed., Proc. SPIE1818, 177–186 (1992). [CrossRef]
  8. P. Maragos, A. C. Bovik, “Demodulation of images modeled by amplitude-frequency modulations using multidimensional energy seperation,” in Proceedings of the IEEE International Conference on Image Processing (Institute of Electrical and Electronics Engineering, Piscataway, N.J., 1994), Vol. 3, pp. 421–425.
  9. P. Maragos, J. F. Kaiser, T. F. Quatieri, “On amplitude and frequency demodulation using energy operators,” IEEE Trans. Signal Process. 41, 1532–1550 (1993). [CrossRef]
  10. P. Maragos, J. F. Kaiser, T. F. Quatieri, “Energy separation in signal modulation with application to speech analysis,” IEEE Trans. Signal Process. 41, 3024–3051 (1993). [CrossRef]
  11. M. Servin, M. Kujawinska, “Modern fringe pattern analysis in interferometry,” in Handbook of Optical Engineering, D. Malacara, B. J. Thompson eds. (Marcel Dekker, New York, 2001), pp. 373–426.
  12. J. F. Kaiser, “On a simple algorithm to calculate the ‘energy’ of a signal,” in Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (Institute of Electrical and Electronics Engineering, Piscataway, N.J., 1990), Vol. 1, pp. 381–384. [CrossRef]
  13. S. Mallat, A Wavelet Tour of Signal Processing, 2nd ed. (Academic, San Diego, Fla., 1999).
  14. N. Delprat, B. Escudié, P. Guillemain, R. Kronland-Martinet, P. Tchamitchian, B. Torrésani, “Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies,” IEEE Trans. Inf. Theory 38, 644–664 (1992). [CrossRef]
  15. P. Guillemain, R. Kronland-Martinet, “Characterization of acoustic signals through continuous linear time-frequency representations,” Proc. IEEE 84, 561–585 (1996). [CrossRef]
  16. W. Jun, A. Asundi, “Strain contouring with Gabor filters: filter bank design,” Appl. Opt. 41, 7229–7236 (2002). [CrossRef] [PubMed]

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