Title
Broken ray transform: inversion and a range condition
Abbreviated Journal Title
Inverse Probl.
Keywords
Mathematics, Applied; Physics, Mathematical
Abstract
In this paper we study a class of broken ray transforms (BRT), which can be implemented with flat and/or curved detectors. In the case of two detectors we obtain an inversion formula, which involves a second-order derivative of the data and integration along characteristics. In the case of three detectors, we obtain an inversion formula, which is purely local and involves only the first-order derivatives of the data. Hence the formula solves the interior problem. Neither the object nor the source and detectors require to be rotated in order to obtain a complete data set. We also prove a theorem, which describes the range of the BRT in the case of three detectors. Finally, the results of numerical experiments are presented.
Journal Title
Inverse Problems
Volume
29
Issue/Number
7
Publication Date
1-1-2013
Document Type
Article
Language
English
First Page
15
WOS Identifier
ISSN
0266-5611
Recommended Citation
"Broken ray transform: inversion and a range condition" (2013). Faculty Bibliography 2010s. 4189.
https://stars.library.ucf.edu/facultybib2010/4189
Comments
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