Approximate reconstruction from ray integrals of a function on a domain with low refraction
An approach is proposed for reconstruction from ray integrals of a function defined on a Riemannian domain with low refraction. Using the back-projection operator and the fast Fourier transform, an inversion algorithm is constructed for the ray transform and its numerical study is carried out.
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| Veröffentlicht in: | Journal of applied and industrial mathematics 2015, Vol.9 (1), p.36-46 |
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| container_end_page | 46 |
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| container_issue | 1 |
| container_start_page | 36 |
| container_title | Journal of applied and industrial mathematics |
| container_volume | 9 |
| creator | Derevtsov, E. Yu Maltseva, S.V. Svetov, I. E. |
| description | An approach is proposed for reconstruction from ray integrals of a function defined on a Riemannian domain with low refraction. Using the back-projection operator and the fast Fourier transform, an inversion algorithm is constructed for the ray transform and its numerical study is carried out. |
| doi_str_mv | 10.1134/S1990478915010056 |
| format | Article |
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| identifier | ISSN: 1990-4789 |
| ispartof | Journal of applied and industrial mathematics, 2015, Vol.9 (1), p.36-46 |
| issn | 1990-4789 1990-4797 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1677948341 |
| source | Springer Journals |
| subjects | Algorithms Approximation Construction industry Electromagnetism Fourier transforms Integrals Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Reconstruction Refraction Studies Tomography Transforms |
| title | Approximate reconstruction from ray integrals of a function on a domain with low refraction |
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