A numerical solver based on \(B\)-splines for 2D vector field tomography in a refracting medium
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Publication:2229810
DOI10.1016/j.matcom.2013.10.002zbMath1499.65047OpenAlexW2012424541MaRDI QIDQ2229810
I. E. Svetov, Thomas Schuster, E. Yu. Derevtsov, Yuriy S. Volkov
Publication date: 18 February 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2013.10.002
Related Items (14)
Efficient tensor tomography in Fan-beam coordinates ⋮ Numerical solution of the problem of reconstructing a potential vector field in the unit ball from its normal Radon transform ⋮ Approximate reconstruction from ray integrals of a function on a domain with low refraction ⋮ Singular value decomposition for longitudinal, transverse and mixed ray transforms of 2D tensor fields ⋮ Inversion of generalized Radon transforms acting on 3D vector and symmetric tensor fields ⋮ A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method ⋮ Differential Equations and Uniqueness Theorems for the Generalized Attenuated Ray Transforms of Tensor Fields ⋮ The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields ⋮ The Method of Approximate Inverse in Slice-by-Slice Vector Tomography Problems ⋮ Full reconstruction of a vector field from restricted Doppler and first integral moment transforms in \(\mathbb{R}^n\) ⋮ Generalized attenuated ray transforms and their integral angular moments ⋮ The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields ⋮ Determination of Discontinuities of a Function in a Domain with Refraction from Its Attenuated Ray Transform ⋮ On solenoidal-injective and injective ray transforms of tensor fields on surfaces
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