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| Content Provider | Springer Nature Link |
|---|---|
| Author | Kovalova, D. S. |
| Copyright Year | 2009 |
| Abstract | An X-ray tomography problem is formulated and analyzed within the framework of a mathematical model based on the polychromatic stationary radiative transfer equation with no collision integral. It is assumed that the outgoing radiation density is only given, and the task is to find the surface of an internal inclusion on whose boundary the coefficients of the equation may have jump discontinuities. The uniqueness of the solution is proved, and the corresponding solution algorithm is outlined. A feature of this work is that the research technique is local in character. This makes it possible to use only some of the available data, and the procedure can be stopped at an intermediate stage of the reconstruction, which can be useful in applications. |
| Starting Page | 183 |
| Ending Page | 193 |
| Page Count | 11 |
| File Format | |
| ISSN | 09655425 |
| Journal | Computational Mathematics and Mathematical Physics |
| Volume Number | 49 |
| Issue Number | 1 |
| e-ISSN | 15556662 |
| Language | English |
| Publisher | SP MAIK Nauka/Interperiodica |
| Publisher Date | 2009-02-06 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | X-ray tomography stepwise reconstruction inverse problem in radiative transfer theory Computational Mathematics and Numerical Analysis |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computational Mathematics |
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