Variational multiplicative noise removal by DC programming

DOI10.1007/s10915-016-0175-zzbMath1350.49047OpenAlexW2268440417MaRDI QIDQ333222

Mohammad Hasan, M. Dambrine

Publication date: 28 October 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0175-z

zbMATH Keywords

total variationmultiplicative noiseprimal-dual algorithmDC programmingdeblurring

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Applications of mathematical programming (90C90) Nonlinear programming (90C30) Numerical methods involving duality (49M29) Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) Numerical methods based on nonlinear programming (49M37) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods of relaxation type (49M20) Inverse problems in optimal control (49N45)

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Cites Work

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• Nonlinear total variation based noise removal algorithms
• Optimization for computer vision. An introduction to core concepts and methods
• Testing copositivity with the help of difference-of-convex optimization
• Variable metric forward-backward algorithm for minimizing the sum of a differentiable function and a convex function
• Computing sparse representation in a highly coherent dictionary based on difference of \(L_1\) and \(L_2\)
• Image recovery via nonlocal operators
• Convex analysis approach to d. c. programming: Theory, algorithms and applications
• An algorithm for total variation minimization and applications
• An efficient algorithm for globally minimizing a quadratic function under convex quadratic constraints
• The DC (Difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems
• A first-order primal-dual algorithm for convex problems with applications to imaging
• Collusive game solutions via optimization
• A Convex Variational Model for Restoring Blurred Images with Multiplicative Noise
• A Two-Stage Image Segmentation Method for Blurry Images with Poisson or Multiplicative Gamma Noise
• Smoothing Nonlinear Conjugate Gradient Method for Image Restoration Using Nonsmooth Nonconvex Minimization
• A Nonlinear Inverse Scale Space Method for a Convex Multiplicative Noise Model
• A New Total Variation Method for Multiplicative Noise Removal
• A Weighted Difference of Anisotropic and Isotropic Total Variation Model for Image Processing
• A Variational Approach to Removing Multiplicative Noise
• A D.C. Optimization Algorithm for Solving the Trust-Region Subproblem
• A New Decomposition Method for Multiuser DC-Programming and Its Applications
• On the Convergence of Nonconvex Minimization Methods for Image Recovery
• A Convex Max-Flow Approach to Distribution-Based Figure-Ground Separation
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• Minimization of $\ell_{1-2}$ for Compressed Sensing
• Computational Aspects of Constrained L 1-L 2 Minimization for Compressive Sensing
• Fast Nonconvex Nonsmooth Minimization Methods for Image Restoration and Reconstruction
• Framelet-Based Blind Motion Deblurring From a Single Image
• Non-Lipschitz $\ell_{p}$-Regularization and Box Constrained Model for Image Restoration
• Image Processing and Analysis
• Combined SVM-based feature selection and classification