The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields
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Publication:5122325
DOI10.1007/978-3-030-40616-5_42OpenAlexW3006647506MaRDI QIDQ5122325
Bernadette N. Hahn, I. E. Svetov, Anna Petrovna Polyakova
Publication date: 22 September 2020
Published in: Lecture Notes in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-40616-5_42
singular value decompositionorthogonal polynomialtransverse ray transformlongitudinal ray transformdynamic vector tomography
Related Items (2)
Singular value decomposition for longitudinal, transverse and mixed ray transforms of 2D tensor fields ⋮ A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method
Cites Work
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- 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
- The approximate inverse in action. III: 3D-Doppler tomography
- Integral geometry for tensor fields. Transl. from the Russian
- A numerical solver based on \(B\)-splines for 2D vector field tomography in a refracting medium
- Approximate inversion of operators of two-dimensional vector tomography
- Null space and resolution in dynamic computerized tomography
- Numerical solution of the problem of reconstructing a potential vector field in the unit ball from its normal Radon transform
- 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
- Polynomial bases for subspaces of vector fields in the unit ball. Method of ridge functions
- Reconstruction of the solenoidal part of a three-dimensional vector field by its ray transforms along straight lines parallel to coordinate planes
- Efficient algorithms for linear dynamic inverse problems with known motion
- Reconstruction of a Vector Field in a Ball from its Normal Radon Transform
- Singular value decomposition and its application to numerical inversion for ray transforms in 2D vector tomography
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