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arXiv · 1503.04322

On the $X$-ray transform of planar symmetric 2-tensors

Kamran Sadiq·Otmar Scherzer·Alexandru Tamasan
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Abstract

In this paper we study the attenuated $X$-ray transform of 2-tensors supported in strictly convex bounded subsets 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.

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Kamran Sadiq, Otmar Scherzer, Alexandru Tamasan. 2015-03-14. On the $X$-ray transform of planar symmetric 2-tensors. https://arxiv.org/abs/1503.04322

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