Tomographic reconstruction with spatially varying parameter selection

DOI10.1088/1361-6420/ab72d4zbMath1504.68272arXiv1811.10227OpenAlexW3004903087WikidataQ107752261 ScholiaQ107752261MaRDI QIDQ5000591

Carola-Bibiane Schönlieb, Yiqiu Dong

Publication date: 14 July 2021

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

Full work available at URL: https://arxiv.org/abs/1811.10227

zbMATH Keywords

computed tomographyinverse problemsvariational methodstotal variation regularizationspatially varying parameter

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for integral transforms (65R10) Inverse problems in optimal control (49N45)

Related Items (2)

On and Beyond Total Variation Regularization in Imaging: The Role of Space Variance ⋮ Hybrid projection methods for large-scale inverse problems with mixed Gaussian priors

Uses Software

• AIR tools
• ASTRA

Cites Work

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• Nonlinear total variation based noise removal algorithms
• A model of regularization parameter determination in low-dose X-ray CT reconstruction based on dictionary learning
• Denoising with higher order derivatives of bounded variation and an application to parameter estimation
• Sparse regularization in limited angle tomography
• Automated regularization parameter selection in multi-scale total variation models for image restoration
• AIR tools II: algebraic iterative reconstruction methods, improved implementation
• Mathematical Methods in Image Reconstruction
• Fundamentals of Computerized Tomography
• Microlocal Analysis in Tomography
• Simultaneous tomographic reconstruction and segmentation with class priors
• Spatially dependent regularization parameter selection in total generalized variation models for image restoration
• On the Convergence of Alternating Minimization for Convex Programming with Applications to Iteratively Reweighted Least Squares and Decomposition Schemes
• Tomographic reconstructions from incomplete data-numerical inversion of the exterior Radon transform
• Limited-data x-ray CT for underwater pipeline inspection
• On local tomography
• Structure Tensor Total Variation
• Robust Frame Based X-Ray CT Reconstruction
• Discrete Inverse Problems
• Characterization and reduction of artifacts in limited angle tomography
• An Infeasible Primal-Dual Algorithm for Total Bounded Variation--Based Inf-Convolution-Type Image Restoration
• Total Generalized Variation

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