J. Réthoré, A fully integrated noise robust strategy for the identification of constitutive laws from digital images, International Journal for Numerical Methods in Engineering, vol.84, issue.6, pp.631-660, 2010.

H. W. Schreier and M. Sutton, Systematic errors in digital image correlation due to undermatched subset shape functions, Experimental Mechanics, vol.42, issue.3, pp.303-310, 2002.
DOI : 10.1177/001448502321548391

A. Savitzky and M. J. Golay, Smoothing and differentiation of data by simplified leastsquares procedures, Analytical Chemistry, vol.36, issue.3, pp.1627-1639, 1964.
DOI : 10.1021/ac60214a047

F. Sur and M. Grédiac, Towards deconvolution to enhance the grid method for inplane strain measurement, Inverse Problems and Imaging, vol.8, issue.1, pp.259-291, 2014.
DOI : 10.3934/ipi.2014.8.259
URL : https://hal.archives-ouvertes.fr/hal-00749804

M. Grédiac, B. Blaysat, and F. Sur, A critical comparison of some metrological parameters characterizing local digital image correlation and grid method, Experimental Mechanics, vol.57, issue.3, pp.871-903, 2017.

M. Sutton, J. J. Orteu, and H. Schreier, Image Correlation for Shape, Motion and Deformation Measurements. Basic Concepts, Theory and Applications, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01729219

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.469-77, 2010.

J. Neggers, B. Blaysat, J. P. Hoefnagels, and M. G. Geers, On image gradients in digital image correlation, International Journal for Numerical Methods in Engineering, vol.105, issue.4, pp.243-260, 2016.
DOI : 10.1002/nme.4971
URL : https://pure.tue.nl/ws/files/20993582/NeggersOnimage2016.pdf

Y. Surrel and B. Zhao, Simultaneous u-v displacement field measurement with a phaseshifting grid method, Proceedings of the SPIE, the International Society for Optical Engineering, vol.2342, 1994.

G. F. Bomarito, J. D. Hochhalter, T. J. Ruggles, and A. H. Cannon, Increasing accuracy and precision of digital image correlation through pattern optimization, Optics and Lasers in Engineering, vol.91, pp.73-85, 2017.

M. J. Hytch, E. Snoeck, and R. Kilaas, Quantitative measurement of displacement and strain fields from HREM micrographs, Ultramicroscopy, vol.74, pp.131-146, 1998.

R. H. Zhu, H. M. Xie, X. L. Dai, J. Zhu, and A. Jin, Residual stress measurement in thin films using a slitting method with geometric phase analysis under a dual beam (fib/sem) system, Measurement Science and Technology, vol.25, issue.9, p.95003, 2014.

X. Dai, H. Xie, H. Wang, C. Li, Z. Liu et al., The geometric phase analysis method based on the local high resolution discrete Fourier transform for deformation measurement, Measurement Science and Technology, vol.25, issue.2, p.25402, 2014.

X. Dai, H. Xie, and H. Wang, Geometric phase analysis based on the windowed Fourier transform for the deformation field measurement, Optics and Laser Technology, vol.58, issue.6, pp.119-127, 2014.

M. Grédiac, F. Sur, and B. Blaysat, The grid method for in-plane displacement and strain measurement: a review and analysis, Strain, vol.52, issue.3, pp.205-243, 2016.

Q. Kemao, Windowed Fourier transform for fringe pattern analysis, Applied Optics, vol.43, issue.13, pp.2695-2702, 2004.

Q. Kemao, H. Wang, and W. Gao, Windowed fourier transform for fringe pattern analysis: theoretical analyses, Applied Optics, vol.47, issue.29, pp.5408-5419, 2010.

M. Grédiac, B. Blaysat, and F. Sur, Extracting displacement and strain fields from checkerboard images with the localized spectrum analysis, Experimental Mechanics Accepted, 2018.

F. Sur and M. Grédiac, Influence of the analysis window on the metrological performance of the grid method, Journal of Mathematical Imaging and Vision, vol.56, issue.3, pp.472-498, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01298523

J. L. Starck, E. Pantin, and F. Murtagh, Deconvolution in astronomy: A review, Astronomical Society of the Pacific, vol.114, issue.800, pp.1051-1069, 2002.

R. C. Gonzalez and R. E. Woods, Digital Image Processing, 2006.

M. Grédiac, F. Sur, C. Badulescu, and J. Mathias, Using deconvolution to improve the metrological performance of the grid method, Optics and Lasers in Engineering, vol.51, issue.6, pp.716-734, 2013.

F. Murtagh, E. Pantin, and J. Starck, Deconvolution and blind deconvolution in astronomy, Blind Image Deconvolution: Theory and Applications, pp.277-316, 2007.

P. Sagaut, Structural modeling, Large Eddy Simulation for Incompressible Flows: An Introduction, pp.183-240, 2002.

F. Sur, B. Blaysat, and M. Grédiac, Rendering deformed speckle images with a Boolean model, Journal of Mathematical Imaging and Vision, vol.60, issue.5, pp.634-650, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01664997

P. Reu, All about speckles: Aliasing. Experimental Techniques, vol.38, pp.1-3, 2014.

M. Grédiac and F. Sur, Effect of sensor noise on the resolution and spatial resolution of the displacement and strain maps obtained with the grid method, Strain, vol.50, issue.1, pp.1-27, 2014.

R. B. Lehoucq, P. L. Reu, and D. Z. Turner, The effect of the ill-posed problem on quantitative error assessment in digital image correlation, Experimental Mechanics, 2017.

R. W. Schafer, What is a Savitzky-Golay filter? (lecture notes), IEEE Signal Processing Magazine, vol.28, issue.4, pp.111-117, 2011.

E. W. Grafarend, Linear and Nonlinear Models: Fixed Effects, Random Effects, and Mixed Models, 2006.

J. L. Piro and M. Grédiac, Producing and transferring low-spatial-frequency grids for measuring displacement fields with moiré and grid methods, Experimental Techniques, vol.28, issue.4, pp.23-26, 2004.

F. Sur, B. Blaysat, and M. Grédiac, Determining displacement and strain maps immune from aliasing effect with the grid method, Optics and Lasers in Engineering, vol.86, pp.317-328, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01352868

F. Pierron and M. Grédiac, The virtual fields method, vol.517, pp.978-979, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01024762

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.

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

, International vocabulary of metrology. Basic and general concepts and associated terms, 2008.

A. Chrysochoos and Y. Surrel, Chapter 1. Basics of metrology and introduction to techniques, Full-field measurements and identification in solid mechanics, pp.1-29, 2012.

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.49, issue.3, pp.353-370, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00881043

L. Wittevrongel, P. Lava, S. V. Lomov, and D. Debruyne, A self adaptive global digital image correlation algorithm, Experimental Mechanics, vol.55, issue.2, pp.361-378, 2015.

J. Blaber, B. Adair, and A. Antoniou, Ncorr: Open-source 2d digital image correlation matlab software, Experimental Mechanics, 2015.

C. Badulescu, M. Bornert, J. Dupré, S. Equis, M. Grédiac et al., Demodulation of spatial carrier images: Performance analysis of several algorithms, Experimental Mechanics, vol.53, issue.8, pp.1357-1370, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00834981

Y. Q. Wang, M. Sutton, H. 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.45, issue.2, pp.160-178, 2009.

Y. Su, Q. Zhang, Z. Gao, X. Xu, and X. Wu, Fourier-based interpolation bias prediction in digital image correlation, Optics Express, vol.23, issue.15, pp.19242-19260, 2015.

Y. Su, Q. Zhang, X. Xu, and Z. Gao, Quality assessment of speckle patterns for DIC by consideration of both systematic errors and random errors, Optics and Lasers in Engineering, vol.86, pp.132-142, 2016.

G. F. Bomarito, J. D. Hochhalter, and T. J. Ruggles, Development of optimal multiscale patterns for digital image correlation via local grayscale variation

Y. Surrel, Moiré and grid methods: a signal-processing approach, 1994.

Y. Surrel and . Photomechanics, Topics in Applied Physic, vol.77, pp.55-102, 2000.