Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613953 | Journal of Mathematical Analysis and Applications | 2016 | 19 Pages |
Abstract
In this paper we study the attenuated X-ray transform of 2-tensors supported in convex bounded subsets with sufficiently smooth boundary in the Euclidean plane. We characterize its range and reconstruct all possible 2-tensors yielding identical X-ray data. The characterization is in terms of a Hilbert-transform associated with A-analytic maps in the sense of Bukhgeim.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Kamran Sadiq, Otmar Scherzer, Alexandru Tamasan,