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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 12, Pages 95–102
DOI: https://doi.org/10.26907/0021-3446-2023-12-95-102 (Mi ivm9929) 		 
Brief communications

Equivalence of computed tomography problem with the problem of recovery of functions by finite convolutions in a scheme of computational (numerical) diameter

N. Temirgaliyev, Sh. K. Abikenova, Sh. U. Azhgaliev, Ye. Ye. Nurmoldin, G. E. Taugynbayeva, A. Zh. Zhubanysheva

L.N. Gumilyov Eurasian National University, 2 Satpaeva str., Astana, 010008 Republic of Kazakhstan
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DOI: https://doi.org/10.26907/0021-3446-2023-12-95-102
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 non-trivial results in Computed Tomography.
Keywords: Radon transform, computed tomography, equivalence of transformations in their norms, computational (numerical) diameter.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP09260484
Received: 25.09.2023
Revised: 25.09.2023
Accepted: 26.09.2023
Document Type: Article
UDC: 517
Language: Russian
Citation: N. Temirgaliyev, Sh. K. Abikenova, Sh. U. Azhgaliev, Ye. Ye. Nurmoldin, G. E. Taugynbayeva, A. Zh. Zhubanysheva, “Equivalence of computed tomography problem with the problem of recovery of functions by finite convolutions in a scheme of computational (numerical) diameter”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 12, 95–102
Citation in format AMSBIB
\Bibitem{TemAbiAzh23}
\by N.~Temirgaliyev, Sh.~K.~Abikenova, Sh.~U.~Azhgaliev, Ye.~Ye.~Nurmoldin, G.~E.~Taugynbayeva, A.~Zh.~Zhubanysheva
\paper Equivalence of computed tomography problem with the problem of recovery of functions by finite convolutions in a scheme of computational (numerical) diameter
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 12
\pages 95--102
\mathnet{http://mi.mathnet.ru/ivm9929}
\crossref{https://doi.org/10.26907/0021-3446-2023-12-95-102}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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