Two-dimensional deconvolution applied to phase-stepped shearography

Maas, Ad A. M.; Somers, Peter

doi:10.1016/0143-8166(95)00138-7

Cited by 20 publications

(6 citation statements)

References 7 publications

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“…A very interesting possibility is Fourier reconstruction [10]. In this method the images are obtained without the need for Filtered Back Projection (FBP).…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional imaging of two types of radicals by the CW-EPR method

Czechowski

Krzyminiewski

Jurga

et al. 2008

Journal of Magnetic Resonance

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“…A very interesting possibility is Fourier reconstruction [10]. In this method the images are obtained without the need for Filtered Back Projection (FBP).…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional imaging of two types of radicals by the CW-EPR method

Czechowski

Krzyminiewski

Jurga

et al. 2008

Journal of Magnetic Resonance

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“…Deconvolution techniques are widely used in image processing but it seems that they have only seldom been employed in the field of mechanics [19,20]. Concerning displacement and strain measurement, one of the main reasons is certainly that the "classic" procedure involves several non-linear steps and numerous parameters.…”

Section: Introductionmentioning

confidence: 99%

Using deconvolution to improve the metrological performance of the grid method

Grédiac

Sur

Bădulescu

et al. 2013

Optics and Lasers in Engineering

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WOSInternational audienceThe use of various deconvolution techniques to enhance strain maps obtained with the grid method is addressed in this study. Since phase derivative maps obtained with the grid method can be approximated by their actual counterparts convolved by the envelope of the kernel used to extract phases and phase derivatives, non-blind restoration techniques can be used to perform deconvolution. Six deconvolution techniques are presented and employed to restore a synthetic phase derivative map, namely direct deconvolution, regularized deconvolution, Richardson-Lucy algorithm and Wiener filtering, the last two with two variants concerning their practical implementations. Obtained results show that the noise that corrupts the grid images must be thoroughly taken into account to limit its effect on the deconvolved strain maps. The difficulty here is that the noise on the grid image yields a spatially correlated noise on the strain maps. In particular, numerical experiments on synthetic data show that direct and regularized deconvolutions are unstable when noisy data are processed. The same remark holds when Wiener filtering is employed without taking into account noise autocorrelation. On the other hand, the Richardson-Lucy algorithm and Wiener filtering with noise autocorrelation provide deconvolved maps where the impact of noise remains controlled within a certain limit. It is also observed that the last technique outperforms the Richardson-Lucy algorithm. Two short examples of actual strain fields restoration are finally shown. They deal with asphalt and shape memory alloy specimens. The benefits and limitations of deconvolution are presented and discussed in these two cases. The main conclusion is that strain maps are correctly deconvolved when the signal-to-noise ratio is high and that actual noise in the actual strain maps must be more specifically characterized than in the current study to address higher noise levels with Wiener filtering

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“…This procedure induces more severe convolution for phase derivatives than for phases. Deconvolution techniques have only seldom been employed in the field of mechanics [7][8]. Concerning displacement and strain measurement, one of the main reasons is certainly that the "classic" procedure to find strain maps, which consists in finding first displacement maps, smoothing them and differentiate the obtained result, involves several non-linear steps and numerous parameters.…”

Section: Introductionmentioning

confidence: 99%

Deconvolving Strain Maps Obtained with the Grid Method

Grédiac

Sur

Bădulescu

et al. 2013

Advancement of Optical Methods in Experimental Mechanics, Volume 3

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The use of various deconvolution techniques to enhance strain maps obtained with the grid method is addressed in this study. Since phase derivative maps obtained with this measurement technique can be approximated by their actual counterparts convolved by the envelope of the kernel used to extract phases and phase derivatives, non-blind restoration techniques can be used to perform deconvolution. Six deconvolution techniques are compared here in order to restore a synthetic phase derivative map. Obtained results are analyzed and discussed.

show abstract

Two-dimensional deconvolution applied to phase-stepped shearography

Cited by 20 publications

References 7 publications

Two-dimensional imaging of two types of radicals by the CW-EPR method

Two-dimensional imaging of two types of radicals by the CW-EPR method

Using deconvolution to improve the metrological performance of the grid method

Deconvolving Strain Maps Obtained with the Grid Method

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