Geodesic
Equivalence of computed tomography problem with the problem of recovery of functions by finite convolutions in a scheme of computational (numerical) diameter
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2023), pp. 95-102.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Mots-clés : Radon transform
Keywords: computed tomography, equivalence of transformations in their norms, computational (numerical) diameter. 
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     title = {Equivalence of computed tomography problem with the problem of recovery of functions by finite convolutions in a scheme of computational (numerical) diameter},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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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. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2023), pp. 95-102. http://geodesic.mathdoc.fr/item/IVM_2023_12_a7/

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