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Inversion of incomplete radon transform

✍ Scribed by A.G. Ramm; A.I. Katsevich


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
325 KB
Volume
5
Category
Article
ISSN
0893-9659

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## Abstract The Radon transform __R__(__p__, ΞΈ), θ∈__S__^__n__βˆ’1^, __p__βˆˆβ„^1^, of a compactly supported function __f__(__x__) with support in a ball __B__~__a__~ of radius a centred at the origin is given for all \documentclass{article}\pagestyle{empty}\begin{document}$ \theta \in \mathop {S^{n - 1

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The present paper deals with the computational complexity of the discrete inverse problem of reconstructing ΓΏnite point sets and more general functionals with ΓΏnite support that are accessible only through some of the values of their discrete Radon transform. It turns out that this task behaves quit