Total Variation Restoration of Images Corrupted by Poisson Noise with Iterated Conditional Expectations, Proceedings of the International Conference on Scale Space and Variational Methods in Computer Vision, pp.178-190, 2015. ,
DOI : 10.1007/978-3-319-18461-6_15
URL : https://hal.archives-ouvertes.fr/hal-01275813
Cardinal spline filters: Stability and convergence to the ideal sinc interpolator, Signal Processing, vol.28, issue.2, pp.127-138, 1992. ,
DOI : 10.1016/0165-1684(92)90030-Z
Studies in linear and non-linear programming, 1958. ,
Dual Norms and Image Decomposition Models, International Journal of Computer Vision, vol.19, issue.3, pp.85-104, 2005. ,
DOI : 10.1007/s11263-005-4948-3
URL : https://hal.archives-ouvertes.fr/inria-00071453
Total variation super resolution using a variational approach, 2008 15th IEEE International Conference on Image Processing, pp.641-644, 2008. ,
DOI : 10.1109/ICIP.2008.4711836
Fast Gradient-Based Algorithms for Constrained Total Variation Image Denoising and Deblurring Problems, IEEE Transactions on Image Processing, vol.18, issue.11, pp.2419-2434, 2009. ,
DOI : 10.1109/TIP.2009.2028250
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems, SIAM Journal on Imaging Sciences, vol.2, issue.1, pp.183-202, 2009. ,
DOI : 10.1137/080716542
Convex optimization, 2004. ,
Total Generalized Variation, SIAM Journal on Imaging Sciences, vol.3, issue.3, pp.492-526, 2010. ,
DOI : 10.1137/090769521
Linear filtering : From the continuous spectral definition to the numerical computations . IPOL preprint, 2015. ,
An algorithm for total variation minimization and applications, Journal of Mathematical Imaging and Vision, vol.20, issue.12, pp.89-97, 2004. ,
Total variation minimization and a class of binary MRF models. In Energy minimization methods in computer vision and pattern recognition, pp.136-152, 2005. ,
An introduction to total variation for image analysis. Theoretical foundations and numerical methods for sparse recovery, pp.263-340, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00437581
An Upwind Finite-Difference Method for Total Variation???Based Image Smoothing, SIAM Journal on Imaging Sciences, vol.4, issue.1, pp.277-299, 2011. ,
DOI : 10.1137/090752754
A First-Order Primal-Dual Algorithm for Convex Problems with??Applications to Imaging, Journal of Mathematical Imaging and Vision, vol.60, issue.5, pp.120-145, 2011. ,
DOI : 10.1007/s10851-010-0251-1
URL : https://hal.archives-ouvertes.fr/hal-00490826
High-Order Total Variation-Based Image Restoration, SIAM Journal on Scientific Computing, vol.22, issue.2, pp.503-516, 2000. ,
DOI : 10.1137/S1064827598344169
Total variation blind deconvolution, IEEE Transactions on Image Processing, vol.7, issue.3, pp.370-375, 1998. ,
DOI : 10.1109/83.661187
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.1221
Simultaneous total variation image inpainting and blind deconvolution, International Journal of Imaging Systems and Technology, vol.8, issue.1, pp.92-102, 2005. ,
DOI : 10.1002/ima.20041
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1.2218
Proximal splitting methods in signal processing In Fixed-point algorithms for inverse problems in science and engineering, pp.185-212, 2011. ,
Signal Recovery by Proximal Forward-Backward Splitting, Multiscale Modeling & Simulation, vol.4, issue.4, pp.1168-1200, 2005. ,
DOI : 10.1137/050626090
URL : https://hal.archives-ouvertes.fr/hal-00017649
Discrete Total Variation: New Definition and Minimization, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01309685
Image Restoration with Discrete Constrained Total Variation Part I: Fast and Exact Optimization, Journal of Mathematical Imaging and Vision, vol.2, issue.4, pp.261-276, 2006. ,
DOI : 10.1007/s10851-006-8803-0
A simple algorithm for a class of nonsmooth convex???concave saddle-point problems, Operations Research Letters, vol.43, issue.2, pp.209-214, 2015. ,
DOI : 10.1016/j.orl.2015.02.001
Convex Analysis and Variational Problems, SIAM, vol.28, 1999. ,
DOI : 10.1137/1.9781611971088
Irregular to Regular Sampling, Denoising, and Deconvolution, Multiscale Modeling & Simulation, vol.7, issue.4, pp.1574-1608, 2009. ,
DOI : 10.1137/080719443
Total Variation Projection With First Order Schemes, IEEE Transactions on Image Processing, vol.20, issue.3, pp.657-669, 2011. ,
DOI : 10.1109/TIP.2010.2072512
URL : https://hal.archives-ouvertes.fr/hal-00401251
The Design and Implementation of FFTW3, Proceedings of the IEEE, vol.93, issue.2, pp.216-231, 2005. ,
DOI : 10.1109/JPROC.2004.840301
Linear Methods for Image Interpolation, Image Processing On Line, vol.1, 2011. ,
DOI : 10.5201/ipol.2011.g_lmii
A Spectral Approach to Total Variation, Proceedings of the International Conference on Scale Space and Variational Methods in Computer Vision, Lecture Rémy Abergel, pp.36-47, 2013. ,
DOI : 10.1007/978-3-642-38267-3_4
Total variation based interpolation, Proceedings of the European signal processing conference, pp.1741-1744, 1998. ,
Robust Estimation of a Location Parameter, The Annals of Mathematical Statistics, vol.35, issue.1, pp.73-101, 1964. ,
DOI : 10.1214/aoms/1177703732
Robust regression: asymptotics, conjectures and Monte Carlo. The Annals of Statistics, pp.799-821, 1973. ,
Posterior Expectation of the Total Variation Model: Properties and Experiments, SIAM Journal on Imaging Sciences, vol.6, issue.4, pp.2640-2684, 2013. ,
DOI : 10.1137/120902276
URL : https://hal.archives-ouvertes.fr/hal-00764175
Total variation denoising using iterated conditional expectation, Proceedings of the European signal processing conference, pp.1592-1596, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01214735
Edge Direction Preserving Image Zooming: A Mathematical and Numerical Analysis, SIAM Journal on Numerical Analysis, vol.39, issue.1, pp.1-37, 2001. ,
DOI : 10.1137/S0036142999362286
A Convex Optimization Approach for Depth Estimation Under Illumination Variation, IEEE Transactions on Image Processing, vol.18, issue.4, pp.813-830, 2009. ,
DOI : 10.1109/TIP.2008.2011386
URL : https://hal.archives-ouvertes.fr/hal-00692900
How to discretize the Total Variation of an image?, the 6th International Congress on Industrial Applied Mathematics Proceedings in Applied Mathematics and Mechanics, pp.1041907-1041908, 2007. ,
DOI : 10.1002/pamm.200700424
URL : https://hal.archives-ouvertes.fr/hal-00624503
Periodic Plus Smooth Image Decomposition, Journal of Mathematical Imaging and Vision, vol.4, issue.1, pp.161-179, 2011. ,
DOI : 10.1007/s10851-010-0227-1
URL : https://hal.archives-ouvertes.fr/hal-00388020
Proximité et dualité dans un espace hilbertien Bulletin de la Société mathématique de France, pp.273-299, 1965. ,
A method of solving a convex programming problem with convergence rate, Soviet Mathematics Doklady, pp.372-376, 1983. ,
Local Strong Homogeneity of a Regularized Estimator, SIAM Journal on Applied Mathematics, vol.61, issue.2, pp.633-658, 2000. ,
DOI : 10.1137/S0036139997327794
iPiano: Inertial Proximal Algorithm for Nonconvex Optimization, SIAM Journal on Imaging Sciences, vol.7, issue.2, pp.1388-1419, 2014. ,
DOI : 10.1137/130942954
Proximal algorithms. Foundations and Trends in optimization, pp.123-231, 2013. ,
A Sparsity-Based Variational Approach for the Restoration of SMOS Images From L1A Data, IEEE International Geoscience and Remote Sensing Symposium, pp.2487-2490, 2014. ,
DOI : 10.1109/TGRS.2017.2654864
URL : https://hal.archives-ouvertes.fr/hal-01341839
A Generalized Forward-Backward Splitting, SIAM Journal on Imaging Sciences, vol.6, issue.3, pp.1199-1226, 2013. ,
DOI : 10.1137/120872802
URL : https://hal.archives-ouvertes.fr/hal-00613637
Structural Properties of Solutions to Total Variation Regularization Problems, ESAIM: Modélisation Mathématique et Analyse Numérique, pp.799-810, 2000. ,
DOI : 10.1051/m2an:2000104
Convex analysis. Princeton university press, 1997. ,
<title>Nonlinear spectral extrapolation: new results and their application to spatial and medical imaging</title>, Neural, Morphological, and Stochastic Methods in Image and Signal Processing, pp.279-289, 1995. ,
DOI : 10.1117/12.216364
The statistics of natural images. Network: computation in neural systems, pp.517-548, 1994. ,
Nonlinear total variation based noise removal algorithms, Physica D: Nonlinear Phenomena, vol.60, issue.1-4, pp.259-268, 1992. ,
DOI : 10.1016/0167-2789(92)90242-F
Influence of Unknown Exterior Samples on Interpolated Values for Band-Limited Images, SIAM Journal on Imaging Sciences, vol.9, issue.1, pp.152-184, 2016. ,
DOI : 10.1137/140978338
URL : https://hal.archives-ouvertes.fr/hal-01287218
Sampling-50 years after Shannon, Proceedings of the IEEE, pp.569-587, 2000. ,
DOI : 10.1109/5.843002
Fast B-spline transforms for continuous image representation and interpolation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.3, pp.277-285, 1991. ,
DOI : 10.1109/34.75515
Ten good reasons for using spline wavelets, Optical Science, Engineering and Instrumentation'97 International Society for Optics and Photonics, pp.422-431, 1997. ,
Modeling textures with total variation minimization and oscillating patterns in image processing, Journal of Scientific Computing, vol.19, issue.1/3, pp.553-572, 2003. ,
DOI : 10.1023/A:1025384832106
Fast, robust total variation-based reconstruction of noisy, blurred images, IEEE Transactions on Image Processing, vol.7, issue.6, pp.813-824, 1998. ,
DOI : 10.1109/83.679423
A proximal method for inverse problems in image processing, Proceedings of the European signal processing conference, pp.1374-1378, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00417712
Efficient Schemes for Total Variation Minimization Under Constraints in Image Processing, SIAM Journal on Scientific Computing, vol.31, issue.3, pp.312047-2080, 2009. ,
DOI : 10.1137/070696143
URL : https://hal.archives-ouvertes.fr/inria-00166096
Anisotropic Huber-L1 Optical Flow, Procedings of the British Machine Vision Conference 2009, p.3, 2009. ,
DOI : 10.5244/C.23.108
Signal sinc???interpolation: A fast computer algorithm, Bioimaging, vol.4, issue.4, pp.225-231, 1996. ,
DOI : 10.1002/1361-6374(199612)4:4<225::AID-BIO1>3.0.CO;2-G
Functional Analysis Originally published as volume 123 in the series: Grundlehren der mathematischen Wissenschaften, 1968. ,
An efficient primal-dual hybrid gradient algorithm for total variation image restoration, UCLA CAM Report, 2008. ,