Semi-Linearized Proximal Alternating Minimization for a Discrete Mumford–Shah Model
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[1] Stuart German,et al. Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images , 1988 .
[2] Daniel Cremers,et al. Real-Time Minimization of the Piecewise Smooth Mumford-Shah Functional , 2014, ECCV.
[3] J. Pesquet,et al. Parallel algorithm and hybrid regularization for dynamic PET reconstruction , 2010, IEEE Nuclear Science Symposuim & Medical Imaging Conference.
[4] Andreas Weinmann,et al. Jump-Sparse and Sparse Recovery Using Potts Functionals , 2013, IEEE Transactions on Signal Processing.
[5] Julien Mairal,et al. Optimization with Sparsity-Inducing Penalties , 2011, Found. Trends Mach. Learn..
[6] Gabriele Steidl,et al. Multiclass Segmentation by Iterated ROF Thresholding , 2013, EMMCVPR.
[7] Xavier Bresson,et al. Fast Global Minimization of the Active Contour/Snake Model , 2007, Journal of Mathematical Imaging and Vision.
[8] Martin Storath,et al. Iterative Potts and Blake–Zisserman minimization for the recovery of functions with discontinuities from indirect measurements , 2015, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[9] Nelly Pustelnik,et al. A New Proximal Method for Joint Image Restoration and Edge Detection with the Mumford-Shah Model , 2018, 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).
[10] Martin Storath,et al. An algorithmic framework for Mumford–Shah regularization of inverse problems in imaging , 2015 .
[11] Tieyong Zeng,et al. Regularized Non-local Total Variation and Application in Image Restoration , 2017, Journal of Mathematical Imaging and Vision.
[12] G. Herman,et al. Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography. , 1970, Journal of theoretical biology.
[13] D. Mumford,et al. Optimal approximations by piecewise smooth functions and associated variational problems , 1989 .
[14] P. Jaccard. Distribution de la flore alpine dans le bassin des Dranses et dans quelques régions voisines , 1901 .
[15] Cewu Lu,et al. Image smoothing via L0 gradient minimization , 2011, ACM Trans. Graph..
[16] Andrea Braides. Approximation of Free-Discontinuity Problems , 1998 .
[17] Jayant Shah,et al. Free-discontinuity problems via functionals involving the L1-norm of the gradient and their approximations , 1999 .
[18] Laurent Condat,et al. Discrete Total Variation: New Definition and Minimization , 2017, SIAM J. Imaging Sci..
[19] Nelly Pustelnik,et al. Hybrid regularization for data restoration in the presence of Poisson noise , 2009, 2009 17th European Signal Processing Conference.
[20] Dimitri Van De Ville,et al. Dynamic PET Reconstruction Using Wavelet Regularization With Adapted Basis Functions , 2008, IEEE Transactions on Medical Imaging.
[21] Gabriele Steidl,et al. Removing Multiplicative Noise by Douglas-Rachford Splitting Methods , 2010, Journal of Mathematical Imaging and Vision.
[22] Jayant Shah,et al. A common framework for curve evolution, segmentation and anisotropic diffusion , 1996, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition.
[23] A. N. Tikhonov,et al. REGULARIZATION OF INCORRECTLY POSED PROBLEMS , 1963 .
[24] Sixun Huang,et al. Inverse problems in atmospheric science and their application , 2005 .
[25] Tony F. Chan,et al. Mumford and Shah Model and Its Applications to Image Segmentation and Image Restoration , 2015, Handbook of Mathematical Methods in Imaging.
[26] Raymond H. Chan,et al. Linkage between Piecewise Constant Mumford-Shah model and ROF model and its virtue in image segmentation , 2018, ArXiv.
[27] J. Pesquet,et al. Wavelet-Based Image Deconvolution and Reconstruction , 2016 .
[28] Josiane Zerubia,et al. Richardson–Lucy algorithm with total variation regularization for 3D confocal microscope deconvolution , 2006, Microscopy research and technique.
[29] Michael Unser,et al. Joint image reconstruction and segmentation using the Potts model , 2014, 1405.5850.
[30] Hédy Attouch,et al. Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality , 2008, Math. Oper. Res..
[31] Heinz H. Bauschke,et al. Convex Analysis and Monotone Operator Theory in Hilbert Spaces , 2011, CMS Books in Mathematics.
[32] Mila Nikolova,et al. Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models , 2006, SIAM J. Appl. Math..
[33] L. Ambrosio,et al. Approximation of functional depending on jumps by elliptic functional via t-convergence , 1990 .
[34] Jacques-Olivier Lachaud,et al. Image restoration and segmentation using the Ambrosio-Tortorelli functional and Discrete Calculus , 2016, 2016 23rd International Conference on Pattern Recognition (ICPR).
[35] F. Bach,et al. Optimization with Sparsity-Inducing Penalties (Foundations and Trends(R) in Machine Learning) , 2011 .
[36] Donald Geman,et al. Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[37] Jacques-Olivier Lachaud,et al. Numerical Implementation of the Ambrosio-Tortorelli Functional Using Discrete Calculus and Application to Image Restoration and Inpainting , 2016, RRPR@ICPR.
[38] Charless C. Fowlkes,et al. Contour Detection and Hierarchical Image Segmentation , 2011, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[39] XuYi,et al. Image smoothing via L0 gradient minimization , 2011 .
[40] K. Lange,et al. EM reconstruction algorithms for emission and transmission tomography. , 1984, Journal of computer assisted tomography.
[41] Xavier Bresson,et al. Nonlocal Mumford-Shah Regularizers for Color Image Restoration , 2011, IEEE Transactions on Image Processing.
[42] L. Rudin,et al. Nonlinear total variation based noise removal algorithms , 1992 .
[43] Nahum Kiryati,et al. Semi-blind image restoration via Mumford-Shah regularization , 2006, IEEE Transactions on Image Processing.
[44] Marc Teboulle,et al. Proximal alternating linearized minimization for nonconvex and nonsmooth problems , 2013, Mathematical Programming.
[45] Guillermo Sapiro,et al. A Variational Framework for Simultaneous Motion Estimation and Restoration of Motion-Blurred Video , 2007, 2007 IEEE 11th International Conference on Computer Vision.
[46] Huaiyu Zhu. On Information and Sufficiency , 1997 .
[47] Eero P. Simoncelli,et al. Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.
[48] Ken D. Sauer,et al. Parallelizable Bayesian tomography algorithms with rapid, guaranteed convergence , 2000, IEEE Trans. Image Process..
[49] Christopher Zach,et al. Discretized Convex Relaxations for the Piecewise Smooth Mumford-Shah Model , 2017, EMMCVPR.
[50] Patrick L. Combettes,et al. Proximal Splitting Methods in Signal Processing , 2009, Fixed-Point Algorithms for Inverse Problems in Science and Engineering.