Quasi-Newton projection methods and the discrepancy principle in image restoration

DOI10.1016/j.amc.2011.07.026zbMath1269.65053OpenAlexW2078678074MaRDI QIDQ654689

Elena Loli Piccolomini, Germana Landi

Publication date: 29 December 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.026

zbMATH Keywords

Gaussian noisediscrepancy principlePoisson noiseNewton projection methodsnonnegative image restoration

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Stochastic programming (90C15) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items

A stopping criterion for iterative regularization methods ⋮ Constrained numerical optimization methods for blind deconvolution ⋮ A modified Newton projection method for \(\ell _1\)-regularized least squares image deblurring

Uses Software

• caos

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A projected Newton-CG method for nonnegative astronomical image deblurring
• Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems
• A discrepancy principle for Poisson data
• Regularization parameter selection methods for ill-posed Poisson maximum likelihood estimation
• Two-Metric Projection Methods for Constrained Optimization
• Deblurring Images
• A scaled gradient projection method for constrained image deblurring
• Efficient gradient projection methods for edge-preserving removal of Poisson noise
• Iteration methods for convexly constrained ill-posed problems in hilbert space
• Solution of Sparse Indefinite Systems of Linear Equations
• 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
• A Statistical Model for Positron Emission Tomography
• Nonnegative least-squares image deblurring: improved gradient projection approaches
• Covariance-Preconditioned Iterative Methods for Nonnegatively Constrained Astronomical Imaging