On a singular value decomposition of the normal Radon transform operator acting on 3D 2-tensor fields-Reference-Cited by-同舟云学术

On a singular value decomposition of the normal Radon transform operator acting on 3D 2-tensor fields

Published:2021-01-01 Issue:1 Volume:1715 Page:012041
ISSN:1742-6588
Container-title:Journal of Physics: Conference Series
language:
Short-container-title:J. Phys.: Conf. Ser.

Author:

Polyakova A P,Svetov I E

Abstract

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.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Link

https://iopscience.iop.org/article/10.1088/1742-6596/1715/1/012041/pdf

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