Deblurring Images
From MaRDI portal
Publication:3432846
DOI10.1137/1.9780898718874zbMath1112.68127OpenAlexW4246327874MaRDI QIDQ3432846
James G. Nagy, Dianne P. O'Leary, Per Christian Hansen
Publication date: 18 April 2007
Full work available at URL: https://doi.org/10.1137/1.9780898718874
Symbolic computation and algebraic computation (68W30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to computer science (68-01) Computing methodologies for image processing (68U10)
Related Items
On the regularizing behavior of the SDA and SDC gradient methods in the solution of linear ill-posed problems, A hybrid optimization method for multiplicative noise and blur removal, Iterative constrained minimization for vectorial TV image deblurring, Optimal preconditioning for image deblurring with anti-reflective boundary conditions, A stopping criterion for iterative regularization methods, Weighted hyper-Laplacian prior with overlapping group sparsity for image restoration under Cauchy noise, Image deblurring by sparsity constraint on the Fourier coefficients, A convergent least-squares regularized blind deconvolution approach, Algorithms and software for total variation image reconstruction via first-order methods, On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation, Speckle noise removal in ultrasound images by first- and second-order total variation, Inheritance of the discrete Picard condition in Krylov subspace methods, A new framework for multi-parameter regularization, Spatially dependent regularization parameter selection for total generalized variation-based image denoising, A special Hermitian and skew-Hermitian splitting method for image restoration, Restoring Poissonian images by a combined first-order and second-order variation approach, Coupling image restoration and segmentation: a generalized linear model/Bregman perspective, Application of the least squares solutions in image deblurring, The block Lanczos algorithm for linear ill-posed problems, Extensions of the Justen-Ramlau blind deconvolution method, Subspace-restricted singular value decompositions for linear discrete ill-posed problems, A parallel splitting method for separable convex programs, Constrained numerical optimization methods for blind deconvolution, On the variational data assimilation problem solving and sensitivity analysis, Optimal filters from calibration data for image deconvolution with data acquisition error, A proximal alternating linearization method for minimizing the sum of two convex functions, Image deblurring with matrix regression and gradient evolution, A new steplength selection for scaled gradient methods with application to image deblurring, A note on Taylor boundary conditions for accurate image restoration, An improved Newton projection method for nonnegative deblurring of Poisson-corrupted images with Tikhonov regularization, NPtool: a MATLAB software for nonnegative image restoration with Newton projection methods, Kronecker product approximations for image restoration with whole-sample symmetric boundary conditions, Linearized proximal alternating minimization algorithm for motion deblurring by nonlocal regularization, An ADM-based splitting method for separable convex programming, Preconditioned iterative regularization in Banach spaces, Shift-invariant approximations of structured shift-variant blurring matrices, Wavelet-based two-level methods for image restoration, Improved susceptibility artifact correction of echo-planar MRI using the alternating direction method of multipliers, Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions, Kernel optimization for blind motion deblurring with image edge prior, Accelerated GNHSS iterative method for weighted Toeplitz regularized least-squares problems from image restoration, Fast transforms for high order boundary conditions in deconvolution problems, Mixed higher order variational model for image recovery, Rotational image deblurring with sparse matrices, Quasi-Newton projection methods and the discrepancy principle in image restoration, Adaptive choice of the Tikhonov regularization parameter to solve ill-posed linear algebraic equations via Liapunov optimizing control, Sampling-based uncertainty quantification in deconvolution of X-ray radiographs, The effect of numerical model error on data assimilation, An efficient nonconvex regularization for wavelet frame and total variation based image restoration, Image reconstruction and restoration using the simplified topological \(\varepsilon\)-algorithm, Embedding and approximation theorems for echo state networks, Approximation of functions of large matrices with Kronecker structure, A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions, Deep neural networks motivated by partial differential equations, ADMM-softmax: an ADMM approach for multinomial logistic regression, A multigrid frame based method for image deblurring, Condition estimation for regression and feature selection, A generalized matrix Krylov subspace method for TV regularization, Robust regression for mixed Poisson-Gaussian model, Modulus-based iterative methods for constrained Tikhonov regularization, Some novel linear regularization methods for a deblurring problem, An effective alternating direction method of multipliers for color image restoration, An \(\ell^2\)-\(\ell^q\) regularization method for large discrete ill-posed problems, Numerical methods for \(A\)-optimal designs with a sparsity constraint for ill-posed inverse problems, Convex constrained optimization for large-scale generalized Sylvester equations, A hybrid multilevel-active set method for large box-constrained linear discrete ill-posed problems, Regularization techniques for ill-posed inverse problems in data assimilation, A shifted nested splitting iterative method with applications to ill-posed problems and image restoration, Diagonalization of tensors with circulant structure, Antireflective boundary conditions for deblurring problems, Cascadic multilevel methods for fast nonsymmetric blur- and noise-removal, An efficient variational method for image restoration, Two new efficient iterative regularization methods for image restoration problems, Attention-based convolutional autoencoders for 3D-variational data assimilation, Solution methods for linear discrete ill-posed problems for color image restoration, A parallel operator splitting algorithm for solving constrained total-variation retinex, A class of ADMM-based algorithms for three-block separable convex programming, Irregularization accelerates iterative regularization, Tensor Krylov subspace methods with an invertible linear transform product applied to image processing, A special generalized HSS method for discrete ill-posed problems, Image restoration with a high-order total variation minimization method, Solving separable nonlinear least squares problems using the QR factorization, A phase model using the Huber norm for estimating point spread function under frozen flow hypothesis, Efficient position estimation of 3D fluorescent spherical beads in confocal microscopy via Poisson denoising, Variable splitting based method for image restoration with impulse plus Gaussian noise, Linearized Krylov subspace Bregman iteration with nonnegativity constraint, Computing the pseudoinverse of specific Toeplitz matrices using rank-one updates, The anti-reflective algebra: Structural and computational analysis with application to image deblurring and denoising, The Sylvester and Bézout resultant matrices for blind image deconvolution, An automatic regularization parameter selection algorithm in the total variation model for image deblurring, A Bayesian level set method for the shape reconstruction of inverse scattering problems in elasticity, Prediction-correction matrix splitting iteration algorithm for a class of large and sparse linear systems, The LSQR method for solving tensor least-squares problems, The application of regularisation to variable selection in statistical modelling, On the GSOR iteration method for image restoration, Fast alternating direction multipliers method by generalized Krylov subspaces, Some projection methods with the BB step sizes for variational inequalities, Tensorial conditional gradient method for solving multidimensional ill-posed problems, Echo state networks trained by Tikhonov least squares are \(L^2(\mu)\) approximators of ergodic dynamical systems, A comparison of parameter choice rules for \(\ell^p\)-\(\ell^q\) minimization, Efficient estimation of regularization parameters via downsampling and the singular value expansion, downsampling regularization parameter estimation, A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation, Total variation image deblurring with space-varying kernel, Ill-conditioning of the truncated singular value decomposition, Tikhonov regularization and their applications to numerical partial differential equations, Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems, Proximal Markov chain Monte Carlo algorithms, Performance of first- and second-order methods for \(\ell_1\)-regularized least squares problems, Feasibility-based fixed point networks, Sparse signal recovery by accelerated ℓq (0<q<1) thresholding algorithm, Modulus Methods for Nonnegatively Constrained Image Restoration, A customized proximal point algorithm for convex minimization with linear constraints, The Anti-Reflective Transform and Regularization by Filtering, An augmented Lagrangian based parallel splitting method for separable convex minimization with applications to image processing, An accelerated common fixed point algorithm for a countable family of \(G\)-nonexpansive mappings with applications to image recovery, Toeplitz momentary symbols: definition, results, and limitations in the spectral analysis of structured matrices, A Proximal Strictly Contractive Peaceman--Rachford Splitting Method for Convex Programming with Applications to Imaging, An Improved Fast Iterative Shrinkage Thresholding Algorithm for Image Deblurring, New self-adaptive methods with double inertial steps for solving splitting monotone variational inclusion problems with applications, Tensor Krylov subspace methods via the Einstein product with applications to image and video processing, Structure preserving preconditioners for image deblurring, Regularizing preconditioners by non-stationary iterated Tikhonov with general penalty term, Runge-Kutta-like scaling techniques for first-order methods in convex optimization, Optimal reduced space for variational data assimilation, Adaptive parameter based matrix splitting iteration method for the large and sparse linear systems, Golub-Kahan vs. Monte Carlo: a comparison of bidiagonlization and a randomized SVD method for the solution of linear discrete ill-posed problems, Generalized cross validation for \(\ell^p\)-\(\ell^q\) minimization, A special modified Tikhonov regularization matrix for discrete ill-posed problems, Spectral representations and global maps of cellular automata dynamics, An extension of the positive-definite and skew-Hermitian splitting method for preconditioning of generalized saddle point problems, The Sylvester Resultant Matrix and Image Deblurring, Graph Laplacian for image deblurring, Inverse subspace problems with applications, LOCAL BOUNDEDNESS OF NONAUTONOMOUS SUPERPOSITION OPERATORS IN, \( \chi^2\) test for total variation regularization parameter selection, Stabilization of generalized empirical interpolation method (GEIM) in presence of noise: a novel approach based on Tikhonov regularization, Fast self-adaptive regularization iterative algorithm for solving split feasibility problem, An Arnoldi-based preconditioner for iterated Tikhonov regularization, Numerical methods for CT reconstruction with unknown geometry parameters, IR tools: a MATLAB package of iterative regularization methods and large-scale test problems, Lanczos-based fast blind deconvolution methods, Computation of outer inverses of tensors using the QR decomposition, An efficient computational approach for multiframe blind deconvolution, Kronecker product approximations for image restoration with new mean boundary conditions, Numerical minimization of a second-order functional for image segmentation, New quantum algorithm for visual tracking, Secant variable projection method for solving nonnegative separable least squares problems, Synthetic boundary conditions for image deblurring, Conjugate gradient method preconditioned with modified block SSOR iteration for multiplicative half-quadratic image restoration, Tensor factorization with total variation and Tikhonov regularization for low-rank tensor completion in imaging data, Hybrid and Iteratively Reweighted Regularization by Unbiased Predictive Risk and Weighted GCV for Projected Systems, Primal-dual splittings as fixed point iterations in the range of linear operators, A relaxed Newton-Picard like method for Huber variant of total variation based image restoration, A general framework for ADMM acceleration, Application of fractional derivatives for obtaining new Tikhonov regularization matrices, Fuzzy mathematics with limited possibilities for assigning membership functions, Regularization parameter estimation for large-scale Tikhonov regularization using a priori information, Non-blind and blind deconvolution under Poisson noise using fractional-order total variation, Fast computation of convolution operations via low-rank approximation, A customized Douglas-Rachford splitting algorithm for separable convex minimization with linear constraints, Spectral analysis of the anti-reflective algebra, Three-dimensional fractional total variation regularized tensor optimized model for image deblurring, Cyclic and simultaneous iterative methods to matrix equations of the form \(A_iXB_i=F_i\), Preconditioners for image restoration by reblurring techniques, Flexible GMRES for total variation regularization, Linear Inverse Problems, Large-Scale Inverse Problems in Imaging, Regularization Preconditioners for Frame-Based Image Deblurring with Reduced Boundary Artifacts, Sparse Wavelet Representations of Spatially Varying Blurring Operators, Generalized Hermitian and skew-Hermitian splitting iterative method for image restoration, Optimal regularized low rank inverse approximation, Variable Metric Inexact Line-Search-Based Methods for Nonsmooth Optimization, High-order total variation-based Poissonian image deconvolution with spatially adapted regularization parameter, Unnamed Item, A class of upper and lower triangular splitting iteration methods for image restoration, An alternating iterative algorithm for image deblurring and denoising problems, Tikhonov Regularization and Randomized GSVD, An Alternating Semiproximal Method for Nonconvex Regularized Structured Total Least Squares Problems, A ``nonconvex+nonconvex approach for image restoration with impulse noise removal, A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems, Randomized core reduction for discrete ill-posed problem, An \(\ell^p\)-\(\ell^q\) minimization method with cross-validation for the restoration of impulse noise contaminated images, A sequential updating scheme of the Lagrange multiplier for separable convex programming, Matrix forms of iterative algorithms to solve large-scale discrete ill-posed problems with an application to image restoration, A Peaceman-Rachford splitting method with monotone plus skew-symmetric splitting for nonlinear saddle point problems, Image reconstruction from an efficient number of moment-based projections, Iterative hybrid regularization for extremely noisy full models in single particle analysis, Directional schemes for edge detection based on B-spline wavelets, Spectral filtering for trend estimation, Dealing with boundary artifacts in MCMC-based deconvolution, Color image and video restoration using tensor CP decomposition, Removal of blur in images based on least squares solutions, Introduction to variational image-processing models and applications, Scaling techniques for gradient projection-type methods in astronomical image deblurring, Krylov subspace split Bregman methods, Modified optimal Perry conjugate gradient method for solving system of monotone equations with applications, A new constrained total variational deblurring model and its fast algorithm, A partial splitting augmented Lagrangian method for low patch-rank image decomposition, A modified Newton projection method for \(\ell _1\)-regularized least squares image deblurring, Alternating direction method for the high-order total variation-based Poisson noise removal problem, Cartoon-texture image decomposition via non-convex low-rank texture regularization, A new block preconditioner for weighted Toeplitz regularized least-squares problems, Delayed over-relaxation in iterative schemes to solve rank deficient linear system of (matrix) equations, A blocking scheme for dimension-robust Gibbs sampling in large-scale image deblurring, Sparse Approximations with Interior Point Methods, A Hybrid LSMR Algorithm for Large-Scale Tikhonov Regularization, Convex minimization problems based on an accelerated fixed point algorithm with applications to image restoration problems, Near-Optimal Spectral Filtering and Error Estimation for Solving Ill-Posed Problems, Unnamed Item, Global-DGMRES method for matrix equationAXB = C, Wasserstein-Based Projections with Applications to Inverse Problems, Direct Implementation of Tikhonov Regularization for the First Kind Integral Equation, An approximate empirical Bayesian method for large-scale linear-Gaussian inverse problems, Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices, Learning regularization parameters for general-form Tikhonov, Discrete gradient methods for solving variational image regularisation models, Limited memory restarted \(\ell^p\)-\(\ell^q\) minimization methods using generalized Krylov subspaces, Learning spectral windowing parameters for regularization using unbiased predictive risk and generalized cross validation techniques for multiple data sets, A linearly-implicit and conservative Fourier pseudo-spectral method for the 3D Gross-Pitaevskii equation with angular momentum rotation, A novel linearized and momentum‐preserving Fourier pseudo‐spectral scheme for the <scp>Rosenau‐Korteweg</scp> de Vries equation, An efficient conjugate gradient method with strong convergence properties for non-smooth optimization, A modulus iteration method for non-negatively constrained TV image restoration, Convergence analysis of the Halpern iteration with adaptive anchoring parameters, A variable projection method for large-scale inverse problems with \(\ell^1\) regularization, Paige's algorithm for solving a class of tensor least squares problem, Range restricted iterative methods for linear discrete ill-posed problems, Generalized Sparse Bayesian Learning and Application to Image Reconstruction, Estimation of the Regularization Parameter in Linear Discrete Ill-Posed Problems Using the Picard Parameter, Variable projection methods for separable nonlinear inverse problems with general-form Tikhonov regularization, In focus -- hybrid deep learning approaches to the HDC2021 challenge, Restoring severely out-of-focus blurred text images with deep image prior, Let's enhance: a deep learning approach to extreme deblurring of text images, Fast hybrid iterative schemes for solving variational inclusion problems, DRIP: deep regularizers for inverse problems, Krylov methods for inverse problems: Surveying classical, and introducing new, algorithmic approaches, Nested alternating minimization with FISTA for non-convex and non-smooth optimization problems, Symmetrization techniques in image deblurring, Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion, A Learnable Group-Tube Transform Induced Tensor Nuclear Norm and Its Application for Tensor Completion, Fast algorithms for perturbed Toeplitz-plus-Hankel system based on discrete cosine transform and their applications, A partially inertial customized Douglas-Rachford splitting method for a class of structured optimization problems, Double precision is not necessary for LSQR for solving discrete linear ill-posed problems, A Lagrangian Gauss--Newton--Krylov Solver for Mass- and Intensity-Preserving Diffeomorphic Image Registration, Modulus-based iterative methods for constrained ℓ p – ℓ q minimization, Seismic wavefield redatuming with regularized multi-dimensional deconvolution, Generalized Hybrid Iterative Methods for Large-Scale Bayesian Inverse Problems, A Multilevel Proximal Gradient Algorithm for a Class of Composite Optimization Problems, Unnamed Item, Unnamed Item, Reconciling Bayesian and Perimeter Regularization for Binary Inversion, Nonlinear optimization for mixed attenuation polyenergetic image reconstruction, An inner–outer iterative method for edge preservation in image restoration and reconstruction *, Nonnegative Tensor Patch Dictionary Approaches for Image Compression and Deblurring Applications, Convex blind image deconvolution with inverse filtering, Well-Posed Bayesian Inverse Problems with Infinitely Divisible and Heavy-Tailed Prior Measures, An ADMM-LAP method for total variation myopic deconvolution of adaptive optics retinal images, Analysis of a Fourier pseudo-spectral conservative scheme for the Klein–Gordon–Schrödinger equation, A novel energy-preserving scheme for the coupled nonlinear Schrödinger equations, On the iterative refinement of the solution of ill-conditioned linear system of equations, Point Spread Function Estimation in X-Ray Imaging with Partially Collapsed Gibbs Sampling, Lowest Complexity Self-Recursive Radix-2 DCT II/III Algorithms, Singular Value Decomposition Approximation via Kronecker Summations for Imaging Applications, A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation, Hybrid Projection Methods with Recycling for Inverse Problems, A linear state space model for photoacoustic imaging in an acoustic attenuating media, Learning regularization parameters of inverse problems via deep neural networks, Discrete cosine transform LSQR and GMRES methods for multidimensional ill-posed problems, Numerical initial data deformation exploiting a gluing construction: I. Exterior asymptotic Schwarzschild, A variational approach to cardiac motion estimation based on covariant derivatives and multi-scale Helmholtz decomposition, Two-parameter generalized Hermitian and skew-Hermitian splitting iteration method, Median filtering‐based methods for static background extraction from surveillance video, A COMBINED FIRST-ORDER AND SECOND-ORDER VARIATION APPROACH FOR MULTIPLICATIVE NOISE REMOVAL, Condition numbers for linear systems and Kronecker product linear systems with multiple right-hand sides, Lattice-Based Patterned Fabric Inspection by Using Total Variation with Sparsity and Low-Rank Representations, A global Lanczos method for image restoration, Unnamed Item, Randomized Dynamic Mode Decomposition, The augmented Lagrangian method with full Jacobian decomposition and logarithmic-quadratic proximal regularization for multiple-block separable convex programming, Regularization Strategies for Contiguous and Noncontiguous Damage Detection of Structures, Sampled Tikhonov regularization for large linear inverse problems, On the Sensitivity of Singular and Ill-Conditioned Linear Systems, On projected alternating BB methods for variational inequalities, An efficient Peaceman–Rachford splitting method for constrained TGV-shearlet-based MRI reconstruction, SPARCOM: Sparsity Based Super-resolution Correlation Microscopy, An Uncertainty-Weighted Asynchronous ADMM Method for Parallel PDE Parameter Estimation, Hybrid Projection Methods with Recycling for Inverse Problems, Projected Newton method for noise constrained Tikhonov regularization, Unnamed Item, A Framework for Regularization via Operator Approximation, NEW REGULARIZATION METHOD FOR CALIBRATED POD REDUCED-ORDER MODELS, Split-Douglas--Rachford Algorithm for Composite Monotone Inclusions and Split-ADMM, Regularization by Inexact Krylov Methods with Applications to Blind Deblurring, Asymptotics of eigenvalues for Toeplitz matrices with rational symbols that have a minimum of the 4th order, Alternating Direction Method of Multipliers for a Class of Nonconvex and Nonsmooth Problems with Applications to Background/Foreground Extraction, ADMM in Krylov Subspace and Its Application to Total Variation Restoration of Spatially Variant Blur, Well-Posed Bayesian Inverse Problems: Priors with Exponential Tails, Optimal Regularized Inverse Matrices for Inverse Problems, Numerical analysis of a new conservative scheme for the coupled nonlinear Schrödinger equations, Modified special HSS method for discrete ill-posed problems and image restoration, An iterative decoupled method with weighted nuclear norm minimization for image restoration, A direct method to Frobenius norm-based matrix regression
Uses Software