Title

Broken Ray Transform: Inversion And A Range Condition

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. © 2013 IOP Publishing Ltd.

Publication Date

7-1-2013

Publication Title

Inverse Problems

Volume

29

Issue

7

Number of Pages

-

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1088/0266-5611/29/7/075008

Socpus ID

84880730515 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84880730515

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