Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations

Optics and Lasers in Engineering - Tập 45 - Trang 304-317 - 2007
Qian Kemao1
1School of Computer Engineering, Nanyang Technological University, Singapore 639798, Singapore

Tài liệu tham khảo

1993 Huntley, 1998, Automated fringe pattern analysis in experimental mechanics: a review, J Strain Anal, 33, 105, 10.1243/0309324981512850 Dorrio, 1999, Phase-evaluation methods in whole-field optical measurement techniques, Meas Sci Technol, 10, R33, 10.1088/0957-0233/10/3/005 Servin, 2001, Modern fringe analysis in interferometry Creath, 1988, Phase-measurement interferometry techniques, vol. 26, 349 Takeda, 1982, Fourier transform methods of fringe-pattern analysis for computer-based topography and interferometry, J Opt Soc Am, 72, 156, 10.1364/JOSA.72.000156 Kemao, 2003, Smoothing filters in phase-shifting interferometry, Opt Laser Technol, 35, 649, 10.1016/S0030-3992(03)00113-0 Servin, 1997, Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique, Appl Opt, 36, 4540, 10.1364/AO.36.004540 Servin, 1998, Phase-shifting interferometry using a two-dimensional regularized phase-tracking technique, J Mod Opt, 45, 1809, 10.1080/09500349808231704 Servin, 1999, Phase unwrapping through demodulation by use of the regularized phase-tracking technique, Appl Opt, 38, 1934, 10.1364/AO.38.001934 Villa, 1999, Robust profilometer for the measurement of 3-D object shapes based on a regularized phase tracker, Opt Laser Eng, 31, 279, 10.1016/S0143-8166(99)00023-8 Servin, 2001, Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms, J Opt Soc Am A, 18, 689, 10.1364/JOSAA.18.000689 Watkins, 1999, Determination of interferometer phase distributions by use of wavelets, Opt Lett, 24, 905, 10.1364/OL.24.000905 Fang, 2001, Digital transform processing of carrier fringe patterns from speckle-shearing interferometry, J Mod Opt, 48, 507, 10.1080/09500340108230928 Liu, 2003, Sensitivity improvement in phase-shifted moiré interferometry using 1-D continuous wavelet transform image processing, Opt Eng, 42, 2646, 10.1117/1.1592803 Liu, 2004, Moiré interferogram phase extraction: a ridge detection algorithm for continuous wavelet transforms, Appl Opt, 43, 850, 10.1364/AO.43.000850 Kadooka, 2003, Strain analysis for moiré interferometry using the two-dimensional continuous wavelet transform, Exp Mech, 43, 45, 10.1007/BF02410483 Qian, 2003, Instantaneous frequency and its application in strain extraction in moiré interferometry, Appl Opt, 42, 6504, 10.1364/AO.42.006504 Sciammarella, 2003, Determination of strains from fringe patterns using space–frequency representations, Opt Eng, 42, 3182, 10.1117/1.1613276 Dursun, 2004, Continuous wavelet transform analysis of projected fringe patterns, Meas Sci Technol, 15, 1768, 10.1088/0957-0233/15/9/013 Zhong, 2004, Spatial carrier-fringe pattern analysis by means of wavelet transform: wavelet transform profilometry, Appl Opt, 43, 4993, 10.1364/AO.43.004993 Tay, 2004, Instantaneous velocity displacement and contour measurement by use of shadow moiré and temporal wavelet analysis, Appl Opt, 43, 4164, 10.1364/AO.43.004164 Fu, 2005, Wavelet analysis of speckle patterns with a temporal carrier, Appl Opt, 44, 959, 10.1364/AO.44.000959 Federico, 2003, Phase retrieval in digital speckle pattern interferometry by use of a smoothed space–frequency distribution, Appl Opt, 42, 7066, 10.1364/AO.42.007066 Qian, 2004, Windowed Fourier transform for fringe pattern analysis, Appl Opt, 43, 2695, 10.1364/AO.43.002695 Qian, 2004, Windowed Fourier transform for fringe pattern analysis: addendum, Appl Opt, 43, 3472, 10.1364/AO.43.003472 Qian, 2003, Filtering the complex field in phase shifting interferometry, Opt Eng, 42, 2792, 10.1117/1.1609457 Larkin, 2001, Natural demodulation of two-dimensional fringe patters, I: general background of the spiral phase quadrature transform, J Opt Soc Am A, 18, 1862, 10.1364/JOSAA.18.001862 Mallat, 1999 Oppenheim, 1999 Gonzalez, 2002 Qian, 2002 Qian, 2004, Windowed Fourier transform for demodulation of carrier fringe patterns, Opt Eng, 43, 1472, 10.1117/1.1759333 Kreis, 1986, Digital holographic interference-phase measurement using the Fourier transform method, J Opt Soc Am A, 3, 847, 10.1364/JOSAA.3.000847 Qian, 2003, Algorithm for directly retrieving the phase difference: a generalization, Opt Eng, 42, 1721, 10.1117/1.1573640 Delprat, 1992, Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies, IEEE Trans Inf Theory, 38, 644, 10.1109/18.119728 Guillemain, 1996, Characterization of acoustic signals through continuous linear time–frequency representations, Proc IEEE, 84, 561, 10.1109/5.488700 Kaufmann, 1996, Speckle noise reduction in television holography fringes using wavelet thresholding, Opt Eng, 35, 9, 10.1117/1.600874 Federico, 2001, Comparative study of wavelet thresholding methods for denoising electronic speckle pattern interferometry fringes, Opt Eng, 40, 2598, 10.1117/1.1412616 Teolis, 1998 Qian, 2005, Two-dimensional windowed Fourier frames for noise reduction in fringe pattern analysis, Opt Eng, 44, 075601, 10.1117/1.1948107 Laine, 2000, Wavelets in temporal and spatial processing of biomedical images, Annu Rev Biomed Eng, 2, 511, 10.1146/annurev.bioeng.2.1.511 Bovik, 1990, Multichannel texture analysis using localized spatial filters, IEEE Trans Pattern Anal Mach Intell, 12, 55, 10.1109/34.41384 Bovik, 1992, Localized measurement of emergent image frequencies by Gabor wavelets, IEEE Trans Inf Theory, 38, 691, 10.1109/18.119731 Rivera, 2005, Robust phase demodulation of interferograms with open or closed fringes, J Opt Soc Am A, 22, 1170, 10.1364/JOSAA.22.001170 Quan, 2005, Phase extraction from a single fringe pattern based on guidance of an extreme map, Appl Opt, 44, 4814, 10.1364/AO.44.004814 Asundi, 1987, Moiré of moiré interferometry, Exp Tech, 11, 28, 10.1111/j.1747-1567.1987.tb00253.x Ghiglia, 1998 Itoh, 1982, Analysis of the phase unwrapping algorithm, Appl Opt, 21, 2470, 10.1364/AO.21.002470 Qian, 2005, A simple phase unwrapping approach based on filtering by windowed Fourier transform, Opt Laser Technol, 37, 458, 10.1016/j.optlastec.2004.07.007 Cai, 2003, Phase-shift extraction and wave-front reconstruction in phase-shifting interferometry with arbitrary phase steps, Opt Lett, 28, 1808, 10.1364/OL.28.001808 Cai, 2004, Generalized phase-shifting interferometry with arbitrary unknown phase steps for diffraction objects, Opt Lett, 29, 183, 10.1364/OL.29.000183 Gutmann, 1998, Phase-shifter calibration and error detection in phase-shifting applications: a new method, Appl Opt, 37, 7624, 10.1364/AO.37.007624 Goldberg, 2001, Fourier-transform method of phase-shift determination, Appl Opt, 40, 2886, 10.1364/AO.40.002886 Qian, 2004, Calibration of phase-shift from two fringe patterns, Meas Sci Technol, 15, 2142, 10.1088/0957-0233/15/10/025 Osten W, Juptner W, Mieth U. Knowledge assisted evaluation of fringe patterns for automatic fault detection. In: Pryputniewicz RJ, Brown GM, Juptner WP, editors. Interferometry VI: applications; Proc SPIE 1993;2004:256–68. Juptner W, Mieth U, Osten W. Application of neural networks and knowledge based systems for automatic identification of fault indicating fringe patterns. In: Pryputniewicz RJ, Stupnicki J, editors. Interferometry ‘94; Proc SPIE 1994;2342:16–26. Li, 2000, Wavelet transform for detection of partial fringe patterns induced by defects in nondestructive testing of holographic interferometry and electronic speckle pattern interferometry, Opt Eng, 39, 2821, 10.1117/1.1308485 Krüger, 2001, Fault detection and feature analysis in interferometrer fringe patterns by the application of wavelet filters in convolution processors, J Electron Imag, 10, 228, 10.1117/1.1318908 Qian, 2005, Fault detection by interferometric fringe pattern analysis using windowed Fourier transform, Meas Sci Technol, 16, 1582, 10.1088/0957-0233/16/8/006 Canny, 1986, A computational approach to edge detection, IEEE Trans Pattern Anal Mach Intell, 8, 679, 10.1109/TPAMI.1986.4767851 Hongbin, 1999, Measuring instantaneous frequencies of fringe image and its application in phase unwrapping, Acta Electron Sinica, 27, 15 Federico A, Kaufmann GH. Retrieval of phase-derivative discontinuities in digital speckle pattern interferometry fringes using the Wigner–Ville distribution. In: Creath K, Schmit J, editors. Interferometry XII: techniques and analysis; Proc SPIE 2004;5531:127–33. Miao H. The studies on real time phase measurement technique and its application to protein crystal growth, PhD dissertation, University of Science and Technology of China, PR China, 1999. Buckheit, 1995, Wavelab and reproducible research, 55