Iterative choice of the optimal regularization parameter in TV image restoration

DOI10.3934/ipi.2015.9.1171zbMath1332.65074OpenAlexW2525266511MaRDI QIDQ256109

Bruno Sixou, Françoise Peyrin, Alina Toma

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.3934/ipi.2015.9.1171

zbMATH Keywords

regularization parameterlinear inverse problemsMorozov principletotal variation regularizationUPRE

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Convex functions and convex programs in convex geometry (52A41) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (6)

Residual whiteness principle for automatic parameter selection in \(\ell_2-\ell_2\) image super-resolution problems ⋮ Multiresolution Parameter Choice Method for Total Variation Regularized Tomography ⋮ Nonconvex mixed TV/Cahn-Hilliard functional for super-resolution/segmentation of 3D trabecular bone images ⋮ On the identification of Lamé parameters in linear isotropic elasticity via a weighted self-guided TV-regularization method ⋮ ADMM-based residual whiteness principle for automatic parameter selection in single image super-resolution problems ⋮ Unbiased predictive risk estimation of the Tikhonov regularization parameter: convergence with increasing rank approximations of the singular value decomposition

Uses Software

• NESTA
• RecPF

Cites Work

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