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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| 22m1507449.pdf | 1.34 MB | Adobe PDF | 見る/開く |
| タイトル: | Numerical Reconstruction of Radiative Sources from Partial Boundary Measurements |
| 著者: | Fujiwara, Hiroshi   Sadiq, Kamran Tamasan, Alexandru |
| 著者名の別形: | 藤原, 宏志 |
| キーワード: | radiative transport source reconstruction numerical solution to Cauchy type singular integral equations A-analytic maps Hilbert transform Bukhgeim--Beltrami equation optical molecular imaging 65N21 45E05 |
| 発行日: | Jun-2023 |
| 出版者: | Society for Industrial & Applied Mathematics (SIAM) |
| 誌名: | SIAM Journal on Imaging Sciences |
| 巻: | 16 |
| 号: | 2 |
| 開始ページ: | 948 |
| 終了ページ: | 968 |
| 抄録: | We consider an inverse source problem in the stationary radiative transport through an absorbing and scattering medium in two dimensions. Using the angularly resolved radiation measured on an arc of the boundary, we propose a numerical algorithm to recover the source in the convex hull of this arc. The method involves an unstable step of inverting a bounded operator whose range is not closed. We show that the continuity constant of the discretized inverse grows at most linearly with the discretization step, thus stabilizing the problem. Numerical examples presented show the effectiveness of the proposed method. |
| 著作権等: | © 2023 SIAM. Published by SIAM under the terms of the Creative Commons 4.0 license. This work is licensed under a Creative Commons Attribution 4.0 International License. |
| URI: | http://hdl.handle.net/2433/284656 |
| DOI(出版社版): | 10.1137/22m1507449 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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