F. Amiot, M. Bornert, P. Doumalin, J. C. Dupré, M. Fazzini et al., Assessment of Digital Image Correlation Measurement Accuracy in the Ultimate Error Regime: Main Results of a Collaborative Benchmark, Strain, vol.45, issue.6, pp.483-496, 2013.
DOI : 10.1111/j.1475-1305.2008.00592.x
URL : https://hal.archives-ouvertes.fr/hal-01069741

A. Baddeley, Spatial point processes and their applications Stochastic Geometry: Lectures given at the C.I.M.E. Summer School held in Martina, pp.1-75, 2004.

R. Balcaen, L. Wittevrongel, P. L. Reu, P. Lava, and D. Debruyne, Stereo-DIC Calibration and Speckle Image Generator Based on FE Formulations, Experimental Mechanics, vol.3, issue.1, pp.703-718, 2017.
DOI : 10.1017/CBO9780511811685

A. Baldi, Digital image correlation and color cameras Online first, Experimental Mechanics, 2017.
DOI : 10.1007/s11340-017-0347-2

Y. Barranger, P. Doumalin, J. C. 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 : 10.1364/OL.36.000763

B. Blaysat, M. Grédiac, and F. Sur, Effect of interpolation on noise propagation from images to DIC displacement maps, International Journal for Numerical Methods in Engineering, vol.50, issue.1, pp.213-232, 2016.
DOI : 10.1111/str.12070
URL : https://hal.archives-ouvertes.fr/hal-01255944

B. Blaysat, M. Grédiac, and F. Sur, On the Propagation of Camera Sensor Noise to Displacement Maps Obtained by DIC - an Experimental Study, Experimental Mechanics, vol.45, issue.2, pp.919-944, 2016.
DOI : 10.1117/1.2168411
URL : https://hal.archives-ouvertes.fr/hal-01269655

B. Blaysat, M. Grédiac, and F. Sur, Assessing the Metrological Performance of DIC Applied on RGB Images, Proceedings of the 2016 Annual Conference of the International Digital Imaging Correlation Society, 2017.
DOI : 10.1016/j.optlaseng.2016.05.006
URL : https://hal.archives-ouvertes.fr/hal-01500324

G. Bomarito, J. Hochhalter, and T. Ruggles, Development of optimal multiscale patterns for digital image correlation via local grayscale variation Online first, Experimental Mechanics, 2017.

M. Bornert, F. Brémand, P. Doumalin, J. C. Dupré, M. Fazzini et al., Assessment of Digital Image Correlation Measurement Errors: Methodology and Results, Experimental Mechanics, vol.43, issue.4, pp.353-370, 2009.
DOI : 10.1117/12.7972925
URL : https://hal.archives-ouvertes.fr/hal-00881043

M. Bornert, P. Doumalin, J. C. Dupré, C. Poilâne, L. Robert et al., Short remarks about synthetic image generation in the context of sub-pixel accuracy of digital image correlation, Proceedings of the 15th International Conference on Experimental Mechanics (ICEM15). Porto, Portugal, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00836213

M. Bornert, P. Doumalin, J. C. Dupré, C. Poilâne, L. Robert et al., Assessment of Digital Image Correlation Measurement Accuracy in the Ultimate Error Regime: Improved Models of Systematic and Random Errors, Experimental Mechanics, vol.49, issue.6, 2017.
DOI : 10.1111/str.12054
URL : https://hal.archives-ouvertes.fr/hal-01657693

M. Bornert, P. Doumalin, J. C. Dupré, C. Poilâne, L. Robert et al., Shortcut in DIC error assessment induced by image interpolation used for subpixel shifting, Optics and Lasers in Engineering, vol.91, pp.124-133, 2017.
DOI : 10.1016/j.optlaseng.2016.11.014
URL : https://hal.archives-ouvertes.fr/hal-01620034

F. X. Briol, C. Oates, M. Girolami, M. Osborne, and D. Sejdinovic, Probabilistic integration: A role for statisticians in numerical analysis? Tech. Rep, p.5, 2016.

C. Cofaru, W. Philips, and W. V. Paepegem, Evaluation of digital image correlation techniques using realistic ground truth speckle images, Measurement Science and Technology, vol.21, issue.5, pp.551-568, 2010.
DOI : 10.1088/0957-0233/21/5/055102

R. Corless and N. Fillion, A Graduate Introduction to Numerical Methods, 2014.
DOI : 10.1007/978-1-4614-8453-0

P. Doumalin, M. Bornert, and D. Caldemaison, Microextensometry by image correlation applied to micromechanical studies using the scanning electron microscopy, Proceedings of the international conference on advanced technology in experimental mechanics, pp.81-86, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00116552

J. Estrada and C. Franck, Intuitive Interface for the Quantitative Evaluation of Speckle Patterns for Use in Digital Image and Volume Correlation Techniques, Journal of Applied Mechanics, vol.82, issue.9, pp.1-1, 2015.
DOI : 10.1115/1.4030821

B. Galerne, COMPUTATION OF THE PERIMETER OF MEASURABLE SETS VIA THEIR COVARIOGRAM. APPLICATIONS TO RANDOM SETS, Image Analysis & Stereology, vol.30, issue.1, pp.39-51, 2011.
DOI : 10.5566/ias.v30.p39-51
URL : https://hal.archives-ouvertes.fr/hal-00480825

B. Galerne and Y. Gousseau, The Transparent Dead Leaves Model, Advances in Applied Probability, vol.12, issue.01, pp.1-20, 2012.
DOI : 10.1214/EJP.v12-429
URL : https://hal.archives-ouvertes.fr/hal-00505281

M. A. Gallego, M. V. Ibanez, and A. Simó, PARAMETER ESTIMATION IN NON-HOMOGENEOUS BOOLEAN MODELS: AN APPLICATION TO PLANT DEFENSE RESPONSE, Image Analysis & Stereology, vol.33, issue.2, pp.27-38, 2015.
DOI : 10.5566/ias.1076

D. Goldberg, What every computer scientist should know about floating-point arithmetic, ACM Computing Surveys, vol.23, issue.1, pp.5-48, 1991.
DOI : 10.1145/103162.103163

R. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision, 2000.
DOI : 10.1017/CBO9780511811685

G. Healey and R. Kondepudy, Radiometric CCD camera calibration and noise estimation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.16, issue.3, pp.267-276, 1994.
DOI : 10.1109/34.276126

T. Hua, H. Xie, S. Wang, Z. Hu, P. Chen et al., Evaluation of the quality of a speckle pattern in the digital image correlation method by mean subset fluctuation, Optics & Laser Technology, vol.43, issue.1, pp.9-13, 2011.
DOI : 10.1016/j.optlastec.2010.04.010

J. Koljonen and J. Alander, Deformation image generation for testing a strain measurement algorithm, Optical Engineering, vol.47, issue.10, pp.1-13, 2008.
DOI : 10.1117/1.2993319

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.7-8, 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

R. Lehoucq, P. Reu, and D. Turner, The Effect of the Ill-posed Problem on Quantitative Error Assessment in Digital Image Correlation, Experimental Mechanics, vol.48, 2017.
DOI : 10.1016/j.optlaseng.2009.08.010

P. Mazzoleni, F. Matta, E. Zappa, M. Sutton, and A. Cigada, Gaussian pre-filtering for uncertainty minimization in digital image correlation using numerically-designed speckle patterns, Optics and Lasers in Engineering, vol.66, pp.19-33, 2015.
DOI : 10.1016/j.optlaseng.2014.08.004

J. M. Morel and G. Yu, ASIFT: A New Framework for Fully Affine Invariant Image Comparison, SIAM Journal on Imaging Sciences, vol.2, issue.2, pp.438-469, 2009.
DOI : 10.1137/080732730
URL : http://www.cmap.polytechnique.fr/~yu/publications/ASIFT_SIIMS_final.pdf

F. Murthagh, J. Starck, and A. Bijaoui, Image restoration with noise suppression using a multiresolution support, Astronomy and astrophysics, vol.112, pp.179-189, 1995.

A. Newson, J. Delon, and B. Galerne, A Stochastic Film Grain Model for Resolution-Independent Rendering, Computer Graphics Forum, vol.187, issue.2, pp.684-699, 2017.
DOI : 10.1145/237170.237267
URL : https://hal.archives-ouvertes.fr/hal-01520260

A. Newson, N. Faraj, J. Delon, and B. Galerne, Analysis of a Physically Realistic Film Grain Model, and a Gaussian Film Grain Synthesis Algorithm, Proceedings of the 6th Conference on Scale Space and Variational Methods in Computer Vision (SSVM), pp.196-207, 2017.
DOI : 10.1364/JOSA.73.001312
URL : https://hal.archives-ouvertes.fr/hal-01494123

A. Newson, N. Faraj, B. Galerne, and J. Delon, Realistic Film Grain Rendering, Image Processing On Line, vol.7, pp.165-183, 2017.
DOI : 10.5201/ipol.2017.192
URL : https://hal.archives-ouvertes.fr/hal-01536631

J. J. Orteu, D. Garcia, L. Robert, and F. Bugarin, A speckle texture image generator, Speckle06: Speckles, From Grains to Flowers, pp.410-411, 2006.
DOI : 10.1117/12.695280
URL : https://hal.archives-ouvertes.fr/hal-01644899

B. Pan, H. M. Xie, B. Q. Xu, and F. L. Dai, Performance of sub-pixel registration algorithms in digital image correlation, Measurement Science and Technology, vol.17, issue.6, pp.1615-1621, 2006.

K. Perlin, An image synthesizer, ACM SIGGRAPH Computer Graphics, vol.19, issue.3, pp.287-296, 1985.
DOI : 10.1145/325165.325247

M. Quenouille, The Evaluation of Probabilities in a Normal Multivariate Distribution, with Special Reference to the Correlation Ratio, Proceedings of the Edinburgh Mathematical Society, vol.8, issue.03, pp.95-100, 1949.
DOI : 10.1098/rspa.1928.0224

P. L. Reu, Experimental and Numerical Methods for Exact Subpixel Shifting, Experimental Mechanics, vol.41, issue.32, pp.443-452, 2011.
DOI : 10.1364/AO.41.006815

R. Schneider and W. Weil, Stochastic and Integral Geometry, 2008.
DOI : 10.1007/978-3-540-78859-1

H. Schreier and M. Sutton, Systematic errors in digital image correlation due to undermatched subset shape functions, Experimental Mechanics, vol.41, issue.1, pp.303-310, 2002.
DOI : 10.1007/BF02410987

J. Serra, The Boolean model and random sets, Computer Graphics and Image Processing, vol.12, issue.2, pp.99-126, 1980.
DOI : 10.1016/0146-664X(80)90006-4

J. Serra, Image Analysis and Mathematical Morphology, 1982.

C. Small, Expansions and Asymptotics for Statistics, Monographs on Statistics and Applied Probability, 2010.
DOI : 10.1201/9781420011029

D. Stoyan, W. Kendall, J. Mecke, and D. Kendall, Stochastic Geometry and Its Applications., Biometrics, vol.45, issue.2, 1987.
DOI : 10.2307/2531521

Y. Su, Q. Zhang, and Z. Gao, Statistical model for speckle pattern optimization, Optics Express, vol.25, issue.24, pp.259-30275, 2017.
DOI : 10.1364/OE.25.030259

M. Sutton, J. J. Orteu, and H. Schreier, Image Correlation for Shape, Motion and Deformation Measurements, 2009.

K. Triconnet, K. Derrien, F. Hild, and D. Baptiste, Parameter choice for optimized digital image correlation, Optics and Lasers in Engineering, vol.47, issue.6, pp.728-737, 2009.
DOI : 10.1016/j.optlaseng.2008.10.015
URL : https://hal.archives-ouvertes.fr/hal-00334368

L. Yu and B. Pan, The errors in digital image correlation due to overmatched shape functions, Measurement Science and Technology, vol.26, issue.4, p.45202, 2015.
DOI : 10.1088/0957-0233/26/4/045202