M. Almeida and L. Almeida, Blind deblurring of foregroundbackground images, 16th IEEE International Conference on, pp.1301-1304, 2009.

G. Ayers and J. Dainty, Iterative blind deconvolution method and its applications, Optics Letters, vol.13, issue.7, pp.547-549, 1988.
DOI : 10.1364/OL.13.000547
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.466.6607

J. Bardsley, S. Jefferies, J. Nagy, and R. Plemmons, A computational method for the restoration of images with an unknown, spatially-varying blur, Optics Express, vol.14, issue.5, pp.1767-1782, 2006.
DOI : 10.1364/OE.14.001767

B. Hadj, S. Blanc-feraud, L. Aubert, G. Engler, and G. , Blind restoration of confocal microscopy images in presence of a depth-variant blur and poisson noise, Acoustics, Speech and Signal Processing (ICASSP), 2013 IEEE International Conference on, pp.915-919, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00920192

P. Blomgren and T. Chan, Color TV: total variation methods for restoration of vector-valued images, IEEE Transactions on Image Processing, vol.7, issue.3, pp.304-309, 1998.
DOI : 10.1109/83.661180

D. Calvetti, B. Lewis, and L. Reichel, <title>Restoration of images with spatially variant blur by the GMRES method</title>, Advanced Signal Processing Algorithms, Architectures, and Implementations X, p.364, 2000.
DOI : 10.1117/12.406515

P. Campisi, K. Egiazarian, M. Liebling, and T. Blu, Blind image deconvolution: theory and applications Discretization of continuous convolution operators for accurate modeling of wave propagation in digital holography, JOSA A, issue.10, pp.302012-2020, 2007.
DOI : 10.1201/9781420007299

A. Chakrabarti, T. Zickler, and W. Freeman, Analyzing spatiallyvarying blur, 2010 IEEE Conference on, pp.2512-2519, 2010.
DOI : 10.1109/cvpr.2010.5539954
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.163.3628

Y. Chen, R. Ranftl, and T. Pock, Insights Into Analysis Operator Learning: From Patch-Based Sparse Models to Higher Order MRFs, IEEE Transactions on Image Processing, vol.23, issue.3, pp.1060-1072, 2014.
DOI : 10.1109/TIP.2014.2299065

Y. Chuang, B. Curless, D. Salesin, and R. Szeliski, A bayesian approach to digital matting, Proceedings of the 2001 IEEE Computer Society Conference on, p.264, 2001.

G. Cresci, R. Davies, A. Baker, and M. Lehnert, Accounting for the anisoplanatic point spread function in deep wide-field adaptive optics images, Astronomy and Astrophysics, vol.438, issue.2, pp.757-767, 2005.
DOI : 10.1051/0004-6361:20052890

M. Delbracio, P. Musé, A. Almansa, and J. Morel, The Non-parametric Sub-pixel Local Point Spread Function Estimation Is a Well Posed Problem, International Journal of Computer Vision, vol.22, issue.11, pp.175-194, 2012.
DOI : 10.1007/s11263-011-0460-0
URL : https://hal.archives-ouvertes.fr/hal-00540637

G. Demoment, Image reconstruction and restoration: Overview of common estimation structures and problems. Acoustics, Speech and Signal Processing, IEEE Transactions on, vol.37, issue.12, pp.2024-2036, 1989.

L. Denis, E. Thiébaut, and F. Soulez, Fast model of space-variant blurring and its application to deconvolution in astronomy, 2011 18th IEEE International Conference on Image Processing, 2011.
DOI : 10.1109/ICIP.2011.6116257
URL : https://hal.archives-ouvertes.fr/hal-00618696

P. Escande and P. Weiss, Numerical computation of spatially varying blur operators a review of existing approaches with a new one. arXiv preprint arXiv, p.14041023, 2014.

D. Fish, J. Grochmalicki, and E. Pike, Scanning singular-value-decomposition method for restoration of images with space-variant blur, Journal of the Optical Society of America A, vol.13, issue.3, pp.464-469, 1996.
DOI : 10.1364/JOSAA.13.000464

R. Flicker and F. Rigaut, Anisoplanatic deconvolution of adaptive optics images, Journal of the Optical Society of America A, vol.22, issue.3, pp.504-513, 2005.
DOI : 10.1364/JOSAA.22.000504

W. Freeman and E. Adelson, The design and use of steerable filters, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.9, pp.891-906, 1991.
DOI : 10.1109/34.93808

M. Frigo, A fast Fourier transform compiler, ACM SIGPLAN Notices, vol.34, issue.5, pp.169-180, 1999.
DOI : 10.1145/301631.301661

E. Gilad and J. Hardenberg, A fast algorithm for convolution integrals with space and time variant kernels, Journal of Computational Physics, vol.216, issue.1, pp.326-336, 2006.
DOI : 10.1016/j.jcp.2005.12.003

J. Goodman, J. Mcgraw-hill-gorski, F. Pfeuffer, and K. Klamroth, Introduction to Fourier optics Biconvex sets and optimization with biconvex functions: a survey and extensions, Mathematical Methods of Operations Research, vol.66, pp.373-407, 2007.

H. Greenspan, S. Belongie, R. Goodman, P. Perona, S. Rakshit et al., Overcomplete steerable pyramid filters and rotation invariance, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition CVPR-94, pp.222-228, 1994.
DOI : 10.1109/CVPR.1994.323833
URL : http://authors.library.caltech.edu/29416/1/GREcvpr94.pdf

M. Hirsch, S. Sra, B. Scholkopf, and S. Harmeling, Efficient filter flow for space-variant multiframe blind deconvolution, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp.607-614, 2010.
DOI : 10.1109/CVPR.2010.5540158

A. Levin, Blind motion deblurring using image statistics, Advances in Neural Information Processing Systems, vol.19, p.841, 2007.

E. Maalouf, B. Colicchio, and A. Dieterlen, Fluorescence microscopy three-dimensional depth variant point spread function interpolation using Zernike moments, Journal of the Optical Society of America A, vol.28, issue.9, pp.1864-1870, 2011.
DOI : 10.1364/JOSAA.28.001864
URL : https://hal.archives-ouvertes.fr/hal-00851896

V. Mahajan, Zernike Circle Polynomials and Optical Aberrations of Systems with Circular Pupils, Applied Optics, vol.33, issue.34, pp.8121-8121, 1994.
DOI : 10.1364/AO.33.008121

C. Martin and M. Porter, The Extraordinary SVD, The American Mathematical Monthly, vol.119, issue.10, pp.838-851, 2012.
DOI : 10.4169/amer.math.monthly.119.10.838

A. Matakos, S. Ramani, and J. Fessler, Accelerated Edge-Preserving Image Restoration Without Boundary Artifacts, IEEE Transactions on Image Processing, vol.22, issue.5, pp.2019-2029, 2013.
DOI : 10.1109/TIP.2013.2244218

D. Miraut and J. Portilla, Efficient shift-variant image restoration using deformable filtering (Part I), EURASIP Journal on Advances in Signal Processing, vol.2012, issue.1, pp.1-20, 2012.
DOI : 10.1006/acha.2000.0343

L. Mugnier, C. Robert, J. Conan, V. Michau, and S. Salem, Myopic deconvolution from wave-front sensing, Journal of the Optical Society of America A, vol.18, issue.4, pp.862-872, 2001.
DOI : 10.1364/JOSAA.18.000862

J. Nagy, O. Leary, and D. , Restoring Images Degraded by Spatially Variant Blur, SIAM Journal on Scientific Computing, vol.19, issue.4, p.1063, 1998.
DOI : 10.1137/S106482759528507X
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.7594

J. Nagy, K. Palmer, and L. Perrone, Iterative Methods for Image Deblurring: A Matlab Object-Oriented Approach, Numerical Algorithms, vol.36, issue.1, pp.73-93, 1023.
DOI : 10.1023/B:NUMA.0000027762.08431.64

J. Ng, R. Prager, N. Kingsbury, G. Treece, and A. Gee, Wavelet restoration of medical pulse-echo ultrasound images in an EM framework, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.54, issue.3, pp.550-568, 2007.
DOI : 10.1109/TUFFC.2007.278

J. Nocedal, Updating quasi-Newton matrices with limited storage, Mathematics of Computation, vol.35, issue.151, pp.773-782, 1980.
DOI : 10.1090/S0025-5718-1980-0572855-7

P. Perona, Deformable kernels for early vision. Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol.17, issue.5, pp.488-499, 1995.

T. Porter and T. Duff, Compositing digital images, ACM SIGGRAPH Computer Graphics, vol.18, issue.3, pp.253-259, 1984.
DOI : 10.1145/964965.808606

C. Preza and J. Conchello, Depth-variant maximum-likelihood restoration for three-dimensional fluorescence microscopy, Journal of the Optical Society of America A, vol.21, issue.9, pp.1593-1601, 2004.
DOI : 10.1364/JOSAA.21.001593

S. Reeves, Fast image restoration without boundary artifacts, IEEE Transactions on Image Processing, vol.14, issue.10, pp.1448-1453, 2005.
DOI : 10.1109/TIP.2005.854474

W. 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

A. Rogers and J. Fiege, STRONG GRAVITATIONAL LENS MODELING WITH SPATIALLY VARIANT POINT-SPREAD FUNCTIONS, The Astrophysical Journal, vol.743, issue.1, p.68, 2011.
DOI : 10.1088/0004-637X/743/1/68

L. Rudin, S. Osher, and E. Fatemi, Nonlinear total variation based noise removal algorithms, Physica D: Nonlinear Phenomena, vol.60, issue.1-4, pp.259-2680167, 1992.
DOI : 10.1016/0167-2789(92)90242-F

M. Sorel and J. Flusser, Space-Variant Restoration of Images Degraded by Camera Motion Blur, IEEE Transactions on Image Processing, vol.17, issue.2, pp.105-116, 2008.
DOI : 10.1109/TIP.2007.912928

F. Soulez, D. L. Thiébautthiébaut´thiébauté, C. Fournier, and C. Goepfert, Inverse problem approach in particle digital holography: out-of-field particle detection made possible, Journal of the Optical Society of America A, vol.24, issue.12, pp.3708-3716, 2007.
DOI : 10.1364/JOSAA.24.003708
URL : https://hal.archives-ouvertes.fr/ujm-00192619

F. Soulez, L. Denis, Y. Tourneur, and E. Thiébaut, Blind deconvolution of 3D data in wide field fluorescence microscopy, 2012 9th IEEE International Symposium on Biomedical Imaging (ISBI), pp.1735-1738, 2012.
DOI : 10.1109/ISBI.2012.6235915
URL : https://hal.archives-ouvertes.fr/hal-00691249

J. Wang and M. Cohen, Image and Video Matting: A Survey, Foundations and Trends?? in Computer Graphics and Vision, vol.3, issue.2, pp.97-175, 2007.
DOI : 10.1561/0600000019

J. Wei, C. Bouman, and J. Allebach, Fast space-varying convolution using matrix source coding with applications to camera stray light reduction, Image Processing IEEE Transactions on, vol.23, issue.5, pp.1965-19792311657, 2014.

O. Whyte, J. Sivic, A. Zisserman, and J. Ponce, Non-uniform deblurring for shaken images, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp.491-498, 2010.
DOI : 10.1109/CVPR.2010.5540175
URL : https://hal.archives-ouvertes.fr/hal-01053877

D. Zoran and Y. Weiss, From learning models of natural image patches to whole image restoration, 2011 International Conference on Computer Vision, pp.479-486, 2011.
DOI : 10.1109/ICCV.2011.6126278