A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method
From MaRDI portal
Publication:6192057
DOI10.1515/jiip-2022-0019OpenAlexW4307282813MaRDI QIDQ6192057
I. E. Svetov, Anna Petrovna Polyakova
Publication date: 12 February 2024
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2022-0019
singular value decompositionorthogonal polynomialtransverse ray transformlongitudinal ray transformdynamic vector tomography
Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamic linear inverse problems with moderate movements of the object: ill-posedness and regularization
- Comparison of two algorithms for the numerical solution of the two-dimensional vector tomography
- Singular value decompositions and inversion methods for the exterior Radon transform and a spherical transform
- The approximate inverse in action. III: 3D-Doppler tomography
- Integral geometry for tensor fields. Transl. from the Russian
- Reconstruction of dynamic objects with affine deformations in computerized tomography
- A numerical solver based on \(B\)-splines for 2D vector field tomography in a refracting medium
- Inversion formulas for recovering the harmonic 2D-vector field by known ray transforms
- Null space and resolution in dynamic computerized tomography
- Local Tomography and the Motion Estimation Problem
- Detectable Singularities from Dynamic Radon Data
- Numerical solution of the problem of reconstructing a potential vector field in the unit ball from its normal Radon transform
- Orthogonal Function Series Expansions and the Null Space of the Radon Transform
- An accurate approximate algorithm for motion compensation in two-dimensional tomography
- The x-ray transform: singular value decomposition and resolution
- A singular value decomposition for the radon transform inn-dimensional euclidean space
- Numerical solvers based on the method of approximate inverse for 2D vector and 2-tensor tomography problems
- Defect correction in vector field tomography: detecting the potential part of a field using BEM and implementation of the method
- Singular value decomposition for the 2D fan-beam Radon transform of tensor fields
- Approximate inverse for linear and some nonlinear problems
- The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields
- Polynomial bases for subspaces of vector fields in the unit ball. Method of ridge functions
- Efficient algorithms for linear dynamic inverse problems with known motion
- Representation of a Function by Its Line Integrals, with Some Radiological Applications
- Singular value decomposition and its application to numerical inversion for ray transforms in 2D vector tomography
This page was built for publication: A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method
