An image reconstruction model regularized by edge-preserving diffusion and smoothing for limited-angle computed tomography

DOI10.1088/1361-6420/ab08f9OpenAlexW2916026560WikidataQ128332477 ScholiaQ128332477MaRDI QIDQ5228014

No author found.

Publication date: 8 August 2019

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

Full work available at URL: https://doi.org/10.1088/1361-6420/ab08f9

zbMATH Keywords

total variationedge-preserving smoothinglimited-angle computed tomographyedge-preserving diffusion

Mathematics Subject Classification ID

Mathematical programming (90Cxx) Connections of general topology with other structures, applications (54Hxx) Equations and inequalities involving nonlinear operators (47Jxx) Nonlinear operators and their properties (47Hxx)

Related Items (6)

A General Non-Lipschitz Infimal Convolution Regularized Model: Lower Bound Theory and Algorithm ⋮ Deep microlocal reconstruction for limited-angle tomography ⋮ Template-based CT reconstruction with optimal transport and total generalized variation ⋮ Limited-angle CT reconstruction with generalized shrinkage operators as regularizers ⋮ A fast image reconstruction method for planar objects CT inspired by differentiation property of Fourier transform (DPFT) ⋮ A content-adaptive unstructured grid based regularized CT reconstruction method with a SART-type preconditioned fixed-point proximity algorithm

Uses Software

• UNLocBoX
• TVR-DART

Cites Work

• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• The Little Engine that Could: Regularization by Denoising (RED)
• Incomplete data problems in x-ray computerized tomography
• On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
• An algorithm for total variation minimization and applications
• Sparse regularization in limited angle tomography
• Image reconstruction model for the exterior problem of computed tomography based on weighted directional total variation
• Backward-backward splitting in Hadamard spaces
• Statistical inverse problems: discretization, model reduction and inverse crimes
• The Mathematics of Computerized Tomography
• Proximal Splitting Methods in Signal Processing
• A Mumford–Shah-Like Method for Limited Data Tomography with an Application to Electron Tomography
• The Split Bregman Method for L1-Regularized Problems
• A proximal decomposition method for solving convex variational inverse problems
• Practical and mathematical aspects of the problem of reconstructing objects from radiographs
• Tomographic reconstructions from incomplete data-numerical inversion of the exterior Radon transform
• TVR-DART: A More Robust Algorithm for Discrete Tomography From Limited Projection Data With Automated Gray Value Estimation
• Limited-data x-ray CT for underwater pipeline inspection
• Joint image reconstruction and segmentation using the Potts model
• DART: A Practical Reconstruction Algorithm for Discrete Tomography
• Characterization and reduction of artifacts in limited angle tomography
• Stable signal recovery from incomplete and inaccurate measurements

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