[en] Speckle shearing interferometry (shearography) is a full-field strain measurement technique that can be used in vibration analysis. In our case, we apply a method that combines the time-averaging and phase-shifting tech- niques. It produces binary phase patterns, where the phase changes are related to the zeroes of a Bessel J 0 function, typical of time-averaging. However, the contrast and resolution are better compared to traditional time-averaging. In a previous paper, we have shown that this is particularly useful in vibration testing performed under industrial conditions, because fringe patterns are noisier than in quiet laboratory environments. This paper goes a step further in proposing a processing method for estimating the vibration amplitude, for helping non-experts to identify vibration modes. Since shearography measures the spatial derivative of displacement, spatial integration is required. Prior to that, different processes like denoising, binarization, automated nodal line detection, and amplitude assignment are applied. We analyze the performance of the method on synthetic and experimental data, in the function of noise level and fringes density. Results on data acquired in an industrial environment illustrate the good performances of the proposed method.
Disciplines :
Computer science
Author, co-author :
Kirkove, Murielle ; Université de Liège - ULiège > CSL (Centre Spatial de Liège)
Guérit, Stéphanie
Jacques, Laurent
Loffet, Christophe
Languy, Fabian ; Université de Liège - ULiège > CSL (Centre Spatial de Liège)
P. Picart, M. Gross, and P. Marquet, “Basic fundamentals of digital holography,” in New Techniques in Digital Holography, P. Picart, ed. (Wiley-ISTE, 2015).
A. E. Ennos, “Speckle interferometry,” in Laser Speckle and Related Phenomena, J. C. Dainty, ed., 2nd ed. (Springer, 1984).
W. Steinchen and L. Yang, Digital Shearography: Theory and Application of Digital Speckle Pattern Shearing Interferometry (SPIE, 2003).
M. K. Kalms and W. Osten, “Mobile shearography system for the inspection of aircraft and automotive components,” Opt. Eng. 42, 1188–1196 (2003).
D. Francis, R. P. Tatam, and R. M. Groves, “Shearography technology and applications: a review,” Meas. Sci. Technol. 21, 102001 (2010).
M. R. Viotti and A. Albertazzi, Jr., Robust Speckle Metrology: Techniques for Stress Analysis and NDT (SPIE, 2014).
R. Powell and K. A. Stetson, “Interferometric vibration analysis by wavefront reconstruction,” J. Opt. Soc. Am. 55, 1593–1598 (1965).
K. Creath and G. Å. Slettemoen, “Vibration-observation techniques for digital speckle-pattern interferometry,” J. Opt. Soc. Am. A 2, 1629–1636 (1985).
E. Vikhagen, “Vibration measurement using phase shifting TV-holography and digital image processing,” Opt. Commun. 69, 214–218 (1989).
O. J. Lokberg and K. Hogmoen, “Use of modulated reference wave in electronic speckle pattern interferometry,” J. Phys. E 9, 847–851 (1976).
K. A. Stetson and W. R. Brohinski, “Fringe-shifting technique for numerical analysis of time-average holograms of vibrating objects,” J. Opt. Soc. Am. A 5, 1472–1476 (1988).
S. Ellingsrud and G. O. Rosvold, “Analysis of data-based TV-holography system used to measure small vibration amplitudes,” J. Opt. Soc. Am. A 9, 237–251 (1992).
U. P. Kumar, Y. Kalyani, N. K. Mohan, and M. P. Kothiyal, “Time-average TV holography for vibration fringe analysis,” Appl. Opt. 48, 3094–3101 (2009).
T. Statsenko, V. Chatziioannou, T. Moore, and W. Kausel, “Methods of phase reconstruction for time-averaging electronic speckle pattern interferometry,” Appl. Opt. 55, 1913–1919 (2016).
T. Statsenko, V. Chatziioannou, T. Moore, and W. Kausel, “Deformation reconstruction by means of surface optimization. Part I: time-averaged electronic speckle pattern interferometry,” Appl. Opt. 56, 654–661 (2017).
B. Deepan, C. Quan, and C. J. Tay, “Quantitative vibration analysis using a single fringe pattern in time-average speckle interferometry,” Appl. Opt. 55, 5876–5883 (2016).
A. Styk and M. Brzezinski, “Vibration amplitude recovery from time averaged interferograms using the directional spatial carrier phase shifting method,” Proc. SPIE 8082, 80821X (2011).
U. P. Kumar, N. K. Mohan, and M. P. Kothiyal, “Time average vibration fringe analysis using Hilbert transformation,” Appl. Opt. 49, 5777–5786 (2010).
M. Wielgus and K. Patorski, “Evaluation of amplitude encoded fringe patterns using the bidimensional empirical mode decomposition and the 2D Hilbert transform generalizations,” Appl. Opt. 50, 5513–5523 (2011).
M. Trusiak, A. Styk, and K. Patorski, “Hilbert–Huang transform based advanced Bessel fringe generation and demodulation for full-field vibration studies of specular reflection micro-objects,” Opt. Lasers Eng. 110, 100–112 (2018).
L. Yang, W. Steinchen, G. Kupfer, P. Mäckel, and F. Vössing, “Vibration analysis by means of digital shearography,” Opt. Lasers Eng. 30, 199–212 (1998).
S. Nakadate, H. Saito, and T. Nakajima, “Vibration measurement using phase-shifting stroboscopic holographic interferometry,” Opt. Acta 33, 1295–1309 (1986).
D. N. Borza, “Full-field vibration amplitude recovery from high-resolution time-averaged speckle interferograms and digital holograms by regional inverting of the Bessel function,” Opt. Lasers Eng. 44, 747–770 (2006).
D. Borza, “High-resolution time-average electronic holography for vibration measurement,” Opt. Lasers Eng. 41, 515–527 (2004).
D. N. Borza, “A new interferometric method for vibration measurement by electronic holography,” Exp. Mech. 42, 432–438 (2002).
J.-F. Vandenrijt, C. Thizy, and M. P. Georges, “Vibration analysis by speckle interferometry with CO2 lasers and microbolometers arrays,” in Imaging and Applied Optics (2014), paper DTh4B.8.
F. Languy, J.-F. Vandenrijt, and C. Thizy, J. Rochet and C. Loffet, D. Simon and M. P. Georges, “Vibration mode shapes visualization in industrial environment by real-time time-averaged phase-stepped electronic speckle pattern interferometry at 10.6 μm and shearography at 532 nm,” Opt. Eng. 55, 121704 (2016).
K. Creath, “Phase-measurement interferometry techniques,” Prog. Opt. 26, 349–393 (1988).
I. Yamaguchi, “Fundamentals and applications of speckle,” Proc. SPIE 4933, 1–8 (2003).
H. Aebischer and S. Waldner, “Simple and effective method for filtering speckle-interferometric phase fringe patterns,” Opt. Commun. 162, 205–210 (1999).
T. Bose, Digital Signal and Image Processing (Utah State University, Wiley, 2004).
I. Pitas and A. N. Venetsanopoulos, Nonlinear Digital Filters: Principles and Applications (Kluwer Academic, 1990).
A. C. Bovik, T. S. Huang, and J. D. C. Munson, “The effect of median filtering on edge estimation and detection,” IEEE Trans. Pattern Anal. Mach. Intell. PAMI-9, 181–194 (1987).
M. Nikolova, “A variational approach to remove outliers and impulse noise,” J. Math. Imaging Vis. 20, 99–120 (2004).
A. Chambolle and T. Pock, “A first-order primal-dual algorithm for convex problems with applications to imaging,” J. Math. Imaging Vis. 40, 120–145 (2011).
L. I. Rudin, S. Osher, and E. Fatemi, “Nonlinear total variation based noise removal algorithms,” Physica D 60, 259–268 (1992).
N. Parikh and S. Boyd, “Proximal algorithms,” in Foundations and Trends in Optimization (2014), Vol. 1, pp. 127–239.
L. Sachs, Applied Statistics: A Handbook of Techniques, 2nd ed. (Springer, 1984).
R. C. Gonzalez, R. E. Woods, and S. L. Eddins, Digital Image Processing Using MATLAB (Prentice Hall, 2004).
J.-L. Starck, E. J. Candes, and D. L. Donoho, “The curvelet transform for image denoising,” IEEE Trans. Image Process. 11, 670–684 (2002).
R. Bergmann, F. Laus, G. Steidl, and A. Weinmann, “Second order differences of cyclic data and applications in variational denoising,” SIAM J. Imaging Sci. 7, 2916–2953 (2014).