FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Extrapolation method for inversion of the generalized Radon transform |
Aref'ev E.P., Prokhorov I.V. |
2025, issue 1, P. 13-20 DOI: https://doi.org/10.47910/FEMJ202501 |
Abstract |
| The issues of numerical determination of a function defined on a plane by its integrals along strips of relatively small width are considered. An algorithm for solving the problem is proposed, based on extrapolation of several images obtained as a result of approximate inversion of the Radon transform for strips of different widths. The results of numerical calculations are presented, limitations and prospects for using the extrapolation approach are indicated. |
Keywords: generalized Radon transform, extrapolation, numerical algorithm. |
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References |
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