NPtool: a MATLAB software for nonnegative image restoration with Newton projection methods

DOI10.1007/s11075-012-9602-xzbMath1262.65033OpenAlexW2063429930WikidataQ113106675 ScholiaQ113106675MaRDI QIDQ1944749

Elena Loli Piccolomini, Germana Landi

Publication date: 27 March 2013

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9602-x

zbMATH Keywords

convergenceregularizationconstrained optimizationnumerical examplesTikhonovpackageleast squaresimage restorationNewton projection methodsMatlab softwareimage denoising and deblurring

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Packaged methods for numerical algorithms (65Y15)

Related Items (9)

Restoring Poissonian images by a combined first-order and second-order variation approach ⋮ Deblurring Poisson noisy images by total variation with overlapping group sparsity ⋮ An efficient nonconvex regularization for wavelet frame and total variation based image restoration ⋮ PNKH-B: A Projected Newton--Krylov Method for Large-Scale Bound-Constrained Optimization ⋮ Poisson image denoising based on fractional-order total variation ⋮ NPtool ⋮ 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 ⋮ An iterative decoupled method with weighted nuclear norm minimization for image restoration

Uses Software

• Matlab
• RestoreTools

Cites Work

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• Nonlinear total variation based noise removal algorithms
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• Deblurring Images
• Numerical Optimization
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• Rank-Deficient and Discrete Ill-Posed Problems
• Fast, robust total variation-based reconstruction of noisy, blurred images
• Projected Newton Methods for Optimization Problems with Simple Constraints
• Computational Methods for Inverse Problems
• Recovery of Blocky Images from Noisy and Blurred Data
• Fast Gradient-Based Algorithms for Constrained Total Variation Image Denoising and Deblurring Problems
• Covariance-Preconditioned Iterative Methods for Nonnegatively Constrained Astronomical Imaging

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