Augmented Lagrangian method for total variation restoration with non-quadratic fidelity

From MaRDI portal
Publication:534506

DOI10.3934/ipi.2011.5.237zbMath1225.80013OpenAlexW2327462959MaRDI QIDQ534506

Chunlin Wu, Juyong Zhang, Xue-Cheng Tai

Publication date: 17 May 2011

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2011.5.237




Related Items (56)

Image deblurring via total variation based structured sparse model selectionA combined higher order non-convex total variation with overlapping group sparsity for Poisson noise removalA Fast Relaxed Normal Two Split Method and an Effective Weighted TV Approach for Euler's Elastica Image InpaintingFast multidimensional completion and principal component analysis methods via the cosine productA regularization method based on level sets and augmented Lagrangian for parameter identification problems with piecewise constant solutionsConvex image denoising via non-convex regularization with parameter selectionData-Driven Tight Frame Construction for Impulsive Noise RemovalA multi-parameter regularization model for deblurring images corrupted by impulsive noiseAn accelerated augmented Lagrangian method for linearly constrained convex programming with the rate of convergence \(O\left({1/{k^2}} \right)\)A new TV-Stokes model for image deblurring and denoising with fast algorithmsConvex non-convex image segmentationNonlocal total variation models for multiplicative noise removal using split Bregman iterationTotal generalized variation for triangulated surface dataAlternating forward-backward splitting for linearly constrained optimization problemsEuler's elastica-based algorithm for parallel MRI reconstruction using sensitivity encodingImpulse noise removal by using a nonconvex TGV regularizer and nonconvex fidelityAn \(l_0\)-norm based color image deblurring model under mixed random-valued impulse and Gaussian noiseLow Rank and Total Variation Based Two-Phase Method for Image Deblurring with Salt-and-Pepper Impulse NoiseAugmented Lagrangian method for total variation based image restoration and segmentation over triangulated surfacesDomain decomposition methods with graph cuts algorithms for total variation minimizationGeometry of total variation regularized \(L^p\)-modelProximity algorithms for the L1/TV image denoising modelHybrid Variational Model for Texture Image RestorationThe Moreau envelope approach for the L1/TV image denoising modelA new TV-Stokes model with augmented Lagrangian method for image denoising and deconvolutionUnnamed ItemA stable method solving the total variation dictionary model with \(L^\infty\) constraintsAn augmented Lagrangian method for solving a new variational model based on gradients similarity measures and high order regulariation for multimodality registrationA globally convergent algorithm for a class of gradient compounded non-Lipschitz models applied to non-additive noise removalA generalized matrix Krylov subspace method for TV regularizationFast algorithm for image denoising with different boundary conditionsHigh-order total variation regularization approach for axially symmetric object tomography from a single radiographSparse representation based image deblurring model under random-valued impulse noiseA new linearized split Bregman iterative algorithm for image reconstruction in sparse-view X-ray computed tomographyFast optimization for multichannel total variation minimization with non-quadratic fidelityTruncated fractional-order total variation model for image restorationRetinex based on exponent-type total variation schemeVariational Phase Retrieval with Globally Convergent Preconditioned Proximal AlgorithmImage reconstruction by minimizing curvatures on image surfaceA nonmonotone gradient algorithm for total variation image denoising problemsMultichannel parallel deblurring and collaborative registration using Gaussian total variation regularization for image fusionBilinear constraint based ADMM for mixed Poisson-Gaussian noise removalWhiteness constraints in a unified variational framework for image restorationAn $\mathcal O(1/{k})$ Convergence Rate for the Variable Stepsize Bregman Operator Splitting AlgorithmFast half-quadratic algorithm for image restoration and reconstructionImage denoising using the Gaussian curvature of the image surfaceHigh-order total bounded variation model and its fast algorithm for Poissonian image restorationIterative methods for computing the resolvent of the sum of a maximal monotone operator and composite operator with applicationsNon-Lipschitz Models for Image Restoration with Impulse Noise RemovalTotal generalized variation restoration with non-quadratic fidelityNon-convex fractional-order TV model for impulse noise removalThe \(\ell_{2,p}\) regularized total variation with overlapping group sparsity prior for image restoration with impulse noiseNew Splitting Algorithms for Multiplicative Noise Removal Based on Aubert-Aujol ModelA Novel Mesh Denoising Method Based on Relaxed Second-Order Total Generalized VariationA tensor regularized nuclear norm method for image and video completionThe lower bound of nonlocal gradient for non-convex and non-smooth image patches based regularization


Uses Software



This page was built for publication: Augmented Lagrangian method for total variation restoration with non-quadratic fidelity