Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs - MaRDI portal

On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs

From MaRDI portal
Publication:4653882

DOI10.1137/S0036142903422429zbMath1083.94001OpenAlexW2156575092MaRDI QIDQ4653882

Thomas Brox, Joachim Weickert, Pavel Mrázek, Gabriele Drauschke, Martin Welk

Publication date: 1 March 2005

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142903422429




Related Items

Total-variation mode decompositionGeneralized methods and solvers for noise removal from piecewise constant signals. I. Background theoryGeneralized methods and solvers for noise removal from piecewise constant signals. II. New methodsStaircasing in semidiscrete stabilised inverse linear diffusion algorithmsA MULTISCALE WAVELET-INSPIRED SCHEME FOR NONLINEAR DIFFUSIONCompressed sensing by inverse scale space and curvelet thresholdingSpectral Decompositions Using One-Homogeneous FunctionalsFrom local kernel to nonlocal multiple-model image denoisingMultiscale geometric analysis of turbulence by curveletsTotal variation wavelet thresholdingTotal Variation on a TreeA Parallel Douglas–Rachford Algorithm for Minimizing ROF-like Functionals on Images with Values in Symmetric Hadamard ManifoldsNonlinear spectral analysis via one-homogeneous functionals: overview and future prospectsMultiscale hybrid nonlocal means filtering using modified similarity measureSplines in higher order TV regularizationImage segmentation using some piecewise constant level set methods with MBO type of projectionVariational image segmentation model coupled with image restoration achievementsAdaptive anisotropic total variation: analysis and experimental findings of nonlinear spectral propertiesGeneralised nonlocal image smoothingInvariant $\varphi$-Minimal Sets and Total Variation Denoising on GraphsThe Geometry of Sparse Analysis RegularizationOn mathematical modeling in image reconstruction and beyondModel selection with low complexity priorsIterative CT reconstruction based on ADMM using shearlet sparse regularizationCorrespondence between frame shrinkage and high-order nonlinear diffusionITERATIVE REGULARIZATION AND NONLINEAR INVERSE SCALE SPACE BASED ON TRANSLATION INVARIANT WAVELET SHRINKAGECONVERGENCE OF AN ITERATIVE NONLINEAR SCHEME FOR DENOISING OF PIECEWISE CONSTANT IMAGESMaximal solutions of sparse analysis regularizationA stable method solving the total variation dictionary model with \(L^\infty\) constraintsSpectral Representations of One-Homogeneous FunctionalsA Convex and Exact Approach to Discrete Constrained TV-L1 Image Approximation$\ell _0$ Minimization for wavelet frame based image restorationA BREGMAN ITERATIVE REGULARIZATION METHOD FOR WAVELET-BASED IMAGE DEBLURRINGEdge-preserving wavelet thresholding for image denoisingLocally analytic schemes: a link between diffusion filtering and wavelet shrinkageA MULTISCALE TIGHT FRAME-INSPIRED SCHEME FOR NONLINEAR DIFFUSIONImage Restoration: Wavelet Frame Shrinkage, Nonlinear Evolution PDEs, and BeyondNumerical aspects of TV flowStructure-texture image decomposition -- modeling, algorithms, and parameter selectionPDE evolutions for M-smoothers in one, two, and three dimensionsAn accelerated algebraic multigrid algorithm for total-variation denoisingLow Complexity Regularization of Linear Inverse ProblemsA discrete theory and efficient algorithms for forward-and-backward diffusion filteringBivariate density estimation using BV regularisationStructural Adaptive Smoothing ProceduresParseval proximal neural networksMathematical concepts of multiscale smoothingTowards artifact-free characterization of surface topography using complex wavelets and total variation minimizationDiffusion-inspired shrinkage functions and stability results for wavelet denoisingGeneralized Intersection Algorithms with Fixed Points for Image Decomposition LearningVariance Estimation in Heteroscedastic Models by Undecimated Haar TransformMultiscale Segmentation via Bregman Distances and Nonlinear Spectral AnalysisAn iterative decoupled method with weighted nuclear norm minimization for image restoration