Inproceedings,

The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields

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Numerical Computations: Theory and Algorithms, page 446--453. Cham, Springer International Publishing, (2020)
DOI: 10.1007/978-3-030-40616-5_42

Abstract

The problem of dynamic 2D vector tomography is considered. Object motion is a combination of rotation and shifting. Properties of the dynamic ray transform operators are investigated. Singular value decomposition of the operators is constructed with usage of classic orthogonal polynomials.

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