A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transform Научная публикация
| Журнал |
Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219 , E-ISSN: 1569-3945 |
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| Вых. Данные | Год: 2023, Том: 31, Номер: 6, Страницы: 959-965 Страниц : 7 DOI: 10.1515/jiip-2023-0038 | ||
| Ключевые слова | Weighted Radon transform; integral geometry; probing; tomography; differential equation; discontinuous functions | ||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Институт математики им. С.Л. Соболева СО РАН | FWNF-2022-0009 |
Реферат:
We study the problem of the integral geometry, in which the functions are integrated over hyperplanes in the n-dimensional Euclidean space, n = 2m + 1. The integrand is the product of a function of n variables called the density and weight function depending on 2n variables. Such an integration is called here the weighted Radon transform, which coincides with the classical one if the weight function is equal to one. It is proved the uniqueness for the problem of determination of the surface on which the integrand is discontinuous.
Библиографическая ссылка:
Anikonov D.S.
, Kazantsev S.G.
, Konovalova D.S.
A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transform
Journal of Inverse and Ill-Posed Problems. 2023. V.31. N6. P.959-965. DOI: 10.1515/jiip-2023-0038 WOS Scopus РИНЦ OpenAlex
A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transform
Journal of Inverse and Ill-Posed Problems. 2023. V.31. N6. P.959-965. DOI: 10.1515/jiip-2023-0038 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 24 апр. 2023 г. |
| Принята к публикации: | 29 июл. 2023 г. |
| Опубликована в печати: | 4 окт. 2023 г. |
| Опубликована online: | 4 окт. 2023 г. |
Идентификаторы БД:
| Web of science: | WOS:001079744100001 |
| Scopus: | 2-s2.0-85173788825 |
| РИНЦ: | 64773773 |
| OpenAlex: | W4387305297 |