Phase measurement in temporal speckle pattern interferometry signals presenting low-modulated regions by means of the bidimensional empirical mode decomposition

Applied Optics

Volumn 50, Issue 5, 2011, Pages 641-647

  Bernini, María Belén ^a   Federico, Alejandro ^b   Kaufmann, Guillermo H ^a,c  

^a INSTITUTO DE FÍSICA ROSARIO   (Argentina)

^b INSTITUTO NACIONAL DE TECNOLOGÍA INDUSTRIAL   (Argentina)

^c Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas Ocampo y Esmeralda   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

INTERFEROMETRY; MATHEMATICAL TRANSFORMATIONS; ONE DIMENSIONAL; PIXELS; SPECKLE;

BI-DIMENSIONAL EMPIRICAL MODE DECOMPOSITIONS; EMPIRICAL MODE DECOMPOSITION; HILBERT TRANSFORM; MEASUREMENT TECHNIQUES; PHASE RETRIEVAL; SPECKLE INTERFEROGRAMS; TEMPORAL CARRIER; TEMPORAL SPECKLE PATTERN INTERFEROMETRY;

PHASE MEASUREMENT;

EID: 79951966683     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.50.000641     Document Type: Article

References (17)

1. J. M. Huntley, "Automated analysis of speckle interferograms," in Digital Speckle Pattern Interferometry and Related Techniques, P. K. Rastogi, ed. (Wiley, 2001), pp. 59-139.
2. M. Takeda, H. Ina, and S. Kobayashi, "Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry," J. Opt. Soc. Am. 72, 156-160 (1982). (Pubitemid 12518205)
3. G. H. Kaufmann and G. E. Galizzi, "Phase measurement in temporal speckle pattern interferometry: comparison between the phase-shifting and the Fourier transform methods," Appl. Opt. 41, 7254-7263 (2002). (Pubitemid 35468300)
4. G. H. Kaufmann, "Phase measurement in temporal speckle pattern interferometry using the Fourier transform method with and without a temporal carrier," Opt. Commun. 217, 141-149 (2003).
5. L. R. Watkins, "Phase recovery from fringe patterns using the continuous wavelet transform," Opt. Lasers Eng. 45, 298-303 (2007) . (Pubitemid 44602245)
6. A. Federico and G. H. Kaufmann, "Phase recovery in temporal speckle pattern interferometry using the generalized Stransform," Opt. Lett. 33, 866-868 (2008). (Pubitemid 351656678)
7. V. D. Madjarova, H. Kadono, and S. Toyooka, "Use of dynamic electronic speckle pattern interferometry with the Hilbert transform method to investigate thermal expansion of a joint material," Appl. Opt. 45, 7590-7596 (2006). (Pubitemid 44671382)
8. S. Equis and P. Jacquot, "Phase extraction in dynamic speckle interferometry with empirical mode decomposition and Hilbert transform," Strain 46, 550-558 (2008).
9. F. A. Marengo Rodriguez, A. Federico, and G. H. Kaufmann, "Hilbert transform analysis of a time series of speckle interferograms with a temporal carrier," Appl. Opt. 47, 1310-1316 (2008) .
10. N. E. Huang, Z. Shen, S. R. Long, M. C. Wu, H. H. Shih, Q. Zheng, N. C. Yen, C. C. Tung, and H. H. Liu, "The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis," Proc. R. Soc. A 454, 903-995 (1998). (Pubitemid 128733183)
11. S. Equis and P. Jacquot, "A new application of the Delaunay triangulation: the processing of speckle interferometry signals," in Proceedings of Fringe, the International Workshop on Automatic Processing of Fringe Patterns, W. Osten and M. Kujawinska, eds. (Springer, 2009), pp 123-131.
12. A. Federico and G. H. Kaufmann, "Robust phase recovery in temporal speckle pattern interferometry using a 3D directional wavelet transform," Opt. Lett. 34, 2336-2338 (2009).
13. M. B. Bernini, A. Federico, and G. H. Kaufmann, "Normalization of fringe patterns using the bidimensional empirical mode decomposition and the Hilbert transform," Appl. Opt. 48, 6862-6869 (2009).
14. C. Damerval, S. Meignen, and V. Perrier, "A fast algorithm for bidimensional EMD," IEEE Signal Process. Lett. 12, 701-704 (2005). (Pubitemid 41448579)
15. W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge University, 1992), Chap. 13.
16. Z. Wu and N. E. Huang, "Ensemble empirical mode decomposition: a noise-assisted data analysis method," Advances Adapt. Data Anal. 1,1-41 (2009).
17. M. B. Bernini, A. Federico, and G. H. Kaufmann, "Noise reduction in digital speckle pattern interferometry using bidimensional empirical mode decomposition," Appl. Opt. 47, 2592-2598 (2008).