Phase extraction in dynamic speckle interferometry with empirical mode decomposition and hilbert transform

Strain

Volumn 46, Issue 6, 2010, Pages 550-558

  Equis, S ^a   Jacquot, P ^a  

^a EPFL   (Switzerland)

Author keywords

dynamic speckle interferometry; empirical mode decomposition; Hilbert transform; phase evaluation

Indexed keywords

CHARACTERISATION; DYNAMIC REGIMES; DYNAMIC SPECKLE; EMPIRICAL MODE DECOMPOSITION; ENGINEERING ACTIVITIES; EXPERIMENTAL MECHANICS; FIELD MEASUREMENT; FRINGE PROCESSING; HILBERT TRANSFORM; HISTORY ANALYSIS; NANOMETRICS; OPTICAL METROLOGY; PHASE EVALUATION; PHASE EXTRACTION; PHASE-SHIFTING METHOD; ROUGH SURFACES; SPECKLE FIELD; SPECKLE INTERFEROMETRY;

DEFORMATION; DYNAMICS; INTERFEROMETRY; MATHEMATICAL TRANSFORMATIONS; PIXELS; POWER QUALITY;

SPECKLE;

EID: 78649242660     PISSN: 00392103     EISSN: 14751305     Source Type: Journal    
DOI: 10.1111/j.1475-1305.2008.00451.x     Document Type: Article

References (25)

1. Osten, W., and, Jüptner, W., (2001) In: Proceeding of the "Fringe" Conferences Series (, W. Osten, Ed.). Elsevier, Berlin.
2. Colonna de Lega, X., and, Jacquot, P., (1996) Deformation measurement with object-induced dynamic phase-shifting. Appl. Opt. 35, 5115 - 5121.
3. Robin, E., and, Valle, V., (2005) Phase demodulation method from a single fringe pattern based on correlation technique with a polynomial form. Appl. Opt. 34, 7261 - 7269.
4. Takeda, M., Ina, H., and, Kobayashi, S., (1982) Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry. J. Opt. Soc. Am. 72, 156 - 160.
5. Larkin, K. G., Bone, D. J., and, Oldfield, M. A., (2001) Natural demodulation of two-dimensional fringe patterns. J. Opt. Soc. Am. A 18, 1862 - 1881.
6. Bone, D. J., Bachor, H.-A., and, Sandeman, R. J., (1986) Fringe-pattern analysis using a 2-D Fourier transform. Appl. Opt. 25, 1653 - 1660.
7. Baldi, A., and, Bertolino, F., (2001) On the Application of the 2D fast Fourier transform to the surface reconstruction by optical profilometers. XII Int. Conf. Des. Tools Methods Ind. Eng. B1, 9 - 16.
8. Cherbuliez, M., Jacquot, P., and, Colonna de Lega, X., (1999) Wavelet processing of interferometric signals and fringe patterns. Conf. Wavelet Appl. Signal Image Proc. VII. Proc. SPIE 3813, 692 - 702.
9. Kaufmann, G. H., (2003) Phase measurement in temporal speckle pattern interferometry using the Fourier transform method with and without a temporal carrier. Opt. Comm. 217, 141 - 149.
10. Madjarova, V. D., Kadono, H., and, Toyooka, S., (2003) Dynamic speckle pattern interferometry (DESPI) phase analyses with temporal Hilbert transform. Opt. Exp. 11, 617 - 623.
11. Huang, N. E., Shen, Z., Long, S. R., Wu, M. C., Shih, H. H., Zheng, Q., Yen, N.-C., Tung, C. C., and, Liu, H. H., (1998) The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc. R. Soc. Lond. A 454, 903 - 995.
12. Rilling, G., Flandrin, P., and, Gonçalves, P., (2003) On empirical mode decomposition and its algorithms. IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing NSIP-03.
13. Huang, N. E., Wu, M. C., Long, S. R., Shen, S. S. P., Qu, W., Gloersen, P., and, Fan, K. L., (2003) A confidence limit for the empirical mode decomposition and Hilbert spectral analysis. Proc. R. Soc. Lond. A 459, 2317 - 2345.
14. Federico, A., and, Kaufmann, G., (2006) Evaluation of dynamic speckle activity using the empirical mode decomposition. Opt. Comm. 267, 287 - 294.
15. Equis, S., Baldi, A., and, Jacquot, P., (2007) Phase extraction in dynamic speckle interferometry by empirical mode decomposition. Proc. Int. Conf. Exp. Mech. ICEM13, 719 - 720.
16. Marengo Rodriguez, F. A., Federico, A., and, Kaufmann, G. H., (2007) Phase measurement improvement in temporal speckle pattern interferometry using empirical mode decomposition. Opt. Comm. 275, 38 - 41. (Pubitemid 46709962)
17. Bracewell, R., (1965) The Fourier Transform and Its Applications. McGraw-Hill Book Company, New York.
18. Bedrosian, E., (1963) A product theorem for Hilbert transforms. Proc. IEEE 51, 868 - 869.
19. Lehmann, M., (2001) Speckle statistics in the context of digital speckle interferometry. In: Digital Speckle Pattern Interferometry and Related Techniques, Chapter 1 (, P. K. Rastogi, Ed.), John Wiley & Sons, Ltd, Chichester: 1 - 58.
20. Mandel, L., (1974) Interpretation of Instantaneous Frequencies. Am. J. Phys. 42, 840 - 846.
21. Loughlin, P. J., and, Tacer, T., (1996) On the amplitude- and frequency-modulation decomposition of signals. J. Acoust. Soc. Am. 100, 1594 - 1601.
22. Boashash, B., (1992) Estimating and interpreting the instantaneous frequency of a signal. Proc. IEEE 80, 520 - 568.
23. Vikhagen, E., (1990) Nondestructive testing by use of TV holography and deformation phase gradient calculation. Appl. Opt. 29, 137 - 144.
24. An, W., and, Carlsson, T. E., (2003) Speckle interferometry for measurement of continuous deformations. Optics Lasers Eng. 40, 529 - 541.
25. Rilling, G., and, Flandrin, P., (2006) On the influence of sampling on the empirical mode decomposition. IEEE Int. Conf. Acoust. Speech Signal Proc. ICASSP-06, SPTM-P5.11.