Equivalence of Computed Tomography Problem with the Problem of Recovery of Functions by Finite Convolutions in a Scheme of Computational (Numerical) Diameter
Temirgaliyev N. Abikenova S.K. Azhgaliyev S.U. Nurmoldin Y.Y. Taugynbayeva G.E. Zhubanysheva A.Z.
December 2023Pleiades Publishing
Russian Mathematics
2023#67Issue 1286 - 91 pp.
Abstract: The equivalence of the norms of deviations of the desired density of a body from operators such as finite density transformation with specially constructed elements and the Radon transformation from it is stated. It is shown how computer science, previously established in the theory of computational (numerical) diameter, immediately leads to nontrivial results in computed tomography.
computational (numerical) diameter , computed tomography , equivalence of transformations in their norms , Radon transform
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Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Gumilyov Eurasian National University
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