J. Aelterman, B. Goossens, A. Pizurica, and W. Philips, Recent advances in signal processing, pp.211-236, 2010.

S. Avril, P. Feissel, F. Pierron, and P. Villon, Comparison of two approaches for differentiating full-field data in solid mechanics, Measurement Science and Technology, vol.21, issue.1, pp.15703-15713, 2007.
DOI : 10.1088/0957-0233/21/1/015703

URL : https://hal.archives-ouvertes.fr/emse-00509118

S. Avril, P. Feissel, F. Pierron, and P. Villon, Estimation of the strain field from full-field displacement noisy data, European Journal of Computational Mechanics, vol.17, pp.5-7857, 2008.
URL : https://hal.archives-ouvertes.fr/emse-00497681

C. Badulescu, M. Bornert, J. Dupré, S. Equis, M. Grédiac et al., Demodulation of spatial carrier images: performance analysis of several algorithms, Experimental Mechanics, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00834981

C. Badulescu, M. Grédiac, and J. Mathias, Investigation of the grid method for accurate in-plane strain measurement, Measurement Science and Technology, vol.20, issue.9, p.20095102, 2009.
DOI : 10.1088/0957-0233/20/9/095102

C. Badulescu, M. Grédiac, J. Mathias, and D. Roux, A Procedure for Accurate One-Dimensional Strain Measurement Using the Grid Method, Experimental Mechanics, vol.29, issue.7???8, pp.841-854, 2009.
DOI : 10.1007/s11340-008-9203-8

Y. Barranger, P. Doumalin, J. Dupré, and A. Germaneau, Strain Measurement by Digital Image Correlation: Influence of Two Types of Speckle Patterns Made from Rigid or Deformable Marks, Strain, vol.36, issue.5, pp.357-365, 2012.
DOI : 10.1111/j.1475-1305.2011.00831.x

M. Bornert, F. Brémand, P. Doumalin, J. Dupré, M. Fazzini et al., Assessment of Digital Image Correlation Measurement Errors: Methodology and Results, Experimental Mechanics, vol.43, issue.4, pp.49353-370, 2009.
DOI : 10.1007/s11340-008-9204-7

URL : https://hal.archives-ouvertes.fr/hal-00881043

A. Delaiglea and P. Hallb, On optimal kernel choice for deconvolution, Statistics & Probability Letters, vol.76, issue.15, pp.1594-1602, 2006.
DOI : 10.1016/j.spl.2006.04.016

D. Delpueyo, M. Grédiac, X. Balandraud, and C. Badulescu, Investigation of martensitic microstructures in a monocrystalline Cu???Al???Be shape memory alloy with the grid method and infrared thermography, Mechanics of Materials, vol.45, pp.34-51, 2012.
DOI : 10.1016/j.mechmat.2011.09.007

B. Dhanasekar and B. Ramamoorthy, Restoration of blurred images for surface roughness evaluation using machine vision, Tribology International, vol.43, issue.1-2, pp.268-276, 2010.
DOI : 10.1016/j.triboint.2009.05.030

P. A. Gorry, General least-squares smoothing and differentiation by the convolution (Savitzky-Golay) method, Analytical Chemistry, vol.62, issue.6, pp.570-573, 1990.
DOI : 10.1021/ac00205a007

M. Grédiac and E. Toussaint, Studying the Mechanical Behaviour of Asphalt Mixture with the Grid Method, Strain, vol.28, issue.1, 2012.
DOI : 10.1111/str.12006

H. Haddadi and S. Belhabib, Use of rigid-body motion for the investigation and estimation of the measurement errors related to digital image correlation technique, Optics and Lasers in Engineering, vol.46, issue.2, pp.185-196, 2008.
DOI : 10.1016/j.optlaseng.2007.05.008

P. Lava, S. Cooreman, S. Coppieters, M. D. Strycker, and D. Debruyne, Assessment of measuring errors in DIC using deformation fields generated by plastic FEA, Optics and Lasers in Engineering, vol.47, issue.7-8, pp.747-753, 2009.
DOI : 10.1016/j.optlaseng.2009.03.007

D. Lecompte, A. Smits, S. Bossuyt, H. Sol, J. Vantomme et al., Quality assessment of speckle patterns for digital image correlation, Optics and Lasers in Engineering, vol.44, issue.11, pp.1132-1145, 2006.
DOI : 10.1016/j.optlaseng.2005.10.004

L. B. Lucy, An iterative technique for the rectification of observed distributions, The Astronomical Journal, vol.79, issue.6, pp.745-754, 1974.
DOI : 10.1086/111605

A. M. Maas and P. A. Somers, Two-dimensional deconvolution applied to phasestepped shearography, Optics and Lasers in Engineering, vol.26, pp.1594-1602, 2006.
DOI : 10.1016/0143-8166(95)00138-7

L. B. Meng, G. C. Jin, and X. F. Yao, Application of iteration and finite element smoothing technique for displacement and strain measurement of digital speckle correlation, Optics and Lasers in Engineering, vol.45, issue.1, pp.57-63, 2007.
DOI : 10.1016/j.optlaseng.2006.04.012

B. Pan, Z. Lu, and H. Xie, Mean intensity gradient: An effective global parameter for quality assessment of the speckle patterns used in digital image correlation, Optics and Lasers in Engineering, vol.48, issue.4, pp.469-477, 2010.
DOI : 10.1016/j.optlaseng.2009.08.010

E. A. Patterson, E. Hack, P. Brailly, R. L. Burguete, Q. Saleem et al., Calibration and evaluation of optical systems for full-field strain measurement, Optics and Lasers in Engineering, vol.45, issue.5, pp.45550-564, 2007.
DOI : 10.1016/j.optlaseng.2006.08.012

W. H. Richardson, Bayesian-Based Iterative Method of Image Restoration*, Journal of the Optical Society of America, vol.62, issue.1, pp.55-59, 1972.
DOI : 10.1364/JOSA.62.000055

J. L. Starck, E. Pantin, and F. Murtagh, Deconvolution in astronomy: A review. Publications of the Astronomical Society of the Pacific, pp.1051-1069, 2002.

F. Sur and M. Grédiac, Towards deconvolution to enhance the grid method for in-plane strain measurement, Inverse Problems and Imaging, vol.8, issue.1, 2012.
DOI : 10.3934/ipi.2014.8.259

URL : https://hal.archives-ouvertes.fr/hal-00749804

Y. Surrel, Photomechanics, Topics in Applied Physic 77, chapter Fringe Analysis, pp.55-102, 2000.

A. N. Tikhonov and V. A. Arsenin, Solutions of ill-posed problems, 1977.

Y. Q. Wang, M. A. Sutton, H. A. Bruck, and H. W. Schreier, Quantitative Error Assessment in Pattern Matching: Effects of Intensity Pattern Noise, Interpolation, Strain and Image Contrast on Motion Measurements, Strain, vol.47, issue.2, pp.160-178, 2009.
DOI : 10.1111/j.1475-1305.2008.00592.x

N. Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series, 1964.