A multi-level preconditioned Krylov method for the efficient solution of algebraic tomographic reconstruction problems
DOI10.1016/j.cam.2014.12.044zbMath1311.65162arXiv1310.0956OpenAlexW2117347707WikidataQ62663805 ScholiaQ62663805MaRDI QIDQ2018482
Jan Sijbers, Wim Vanroose, Pieter Ghysels, Wim van Aarle, Siegfried Cools
Publication date: 24 March 2015
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.0956
waveletsconvergencepreconditioningmultigridnumerical experimenttomographyKrylov methodslinear iterative methodalgebraic reconstructionlinear inversion problem
Radon transform (44A12) Numerical methods for wavelets (65T60) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32) Preconditioners for iterative methods (65F08)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- The hierarchical basis multigrid method
- A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations
- Local Fourier analysis of the complex shifted Laplacian preconditioner for Helmholtz problems
- Algebraic Multilevel Krylov Methods
- Recent computational developments in Krylov subspace methods for linear systems
- A general framework for nonlinear multigrid inversion
- Why do commercial CT scanners still employ traditional, filtered back-projection for image reconstruction?
- Orthonormal bases of compactly supported wavelets
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- Optical tomography in medical imaging
- Multigrid solution of a linearized, regularized least-squares problem in electrical impedance tomography
- A Multigrid Tutorial, Second Edition
- Fourier Analysis of GMRES(m) Preconditioned by Multigrid
- Linear and Nonlinear Inverse Problems with Practical Applications
- Tikhonov Regularization and Total Least Squares
- Multilevel Image Reconstruction with Natural Pixels
- Analyzing the wave number dependency of the convergence rate of a multigrid preconditioned Krylov method for the Helmholtz equation with an absorbing layer
- Discrete Inverse Problems
- DART: A Practical Reconstruction Algorithm for Discrete Tomography
- Two-Level preconditioned Krylov subspace methods for the solution of three-dimensional heterogeneous Helmholtz problems in seismics
- The speed of convergence of one iterative process
This page was built for publication: A multi-level preconditioned Krylov method for the efficient solution of algebraic tomographic reconstruction problems