On a singular value decomposition of the normal Radon transform operator acting on 3D 2-tensor fields
Open Access
- 1 January 2021
- conference paper
- Published by IOP Publishing in Journal of Physics: Conference Series
- Vol. 1715 (1) , 012041
Abstract
We consider the problem of reconstructing the potential part of a symmetric 2-tensor field defined in a unit ball by its known values of the normal Radon transform. To solve the problem, a singular value decomposition of the normal Radon transform operator is constructed. The basis functions and fields using the Jacobi, Gegenbauer polynomials and spherical harmonics are constructed.Keywords
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