Add to ORKGIn this article we characterize the range of the attenuated and non-attenuated $X$-ray transform of compactly supported symmetric tensor fields in the Euclidean plane. The characterization is in terms of a Hilbert-transform associated with $A$-analytic maps in the sense of Bukhgeim.Comment: 29 pages. arXiv admin note: text overlap with arXiv:1503.0432
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International audienceJohn proved that a function $j$ on the manifold of lines in $R^3$ belongs to t...
In this paper, we will provide an overview of the topology of real symmetric second-order tensor fie...
Disformal transformation is a generalisation of the well-known conformal transformation commonly ela...
We find the necessary and sufficient conditions on the Fourier coefficients of a function $g$ on the...
We present a reconstruction method which stably recovers some sufficiently smooth, real valued, symm...
ABSTRACT. In this paper we study the attenuated X-ray transform of 2-tensors supported in strictly c...
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In the present dissertation, we characterize the range of the attenuated Radon transform of zero, on...
We explain how the theory of A-analytic maps of A. Bukhgeim can apply to a local CT inversion proble...
This article surveys recent results aiming at obtaining refined mapping estimates for the X-ray tran...
We find necessary and sufficient conditions on the Fourier coefficients of a function $g$ on the tor...
We characterize the range of the attenuated and nonattenuated X-ray transform of compactly supported...
We propose a novel matrix regularization for tensor fields. In this regularization, tensor fields ar...
Abstract. We describe the range of the attenuated ray transform of a unitary connection on a simple ...
Let Im denote the Euclidean ray transform acting on compactly supported symmetric m-tensor field dis...
International audienceJohn proved that a function $j$ on the manifold of lines in $R^3$ belongs to t...
In this paper, we will provide an overview of the topology of real symmetric second-order tensor fie...
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