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. 
@article{IVM_2023_12_a7,
     author = {N. Temirgaliyev and Sh. K. Abikenova and Sh. U. Azhgaliev and Ye. Ye. Nurmoldin and G. E. Taugynbayeva and A. Zh. Zhubanysheva},
     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},
     pages = {95--102},
     publisher = {mathdoc},
     number = {12},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_12_a7/}
}
TY  - JOUR
AU  - N. Temirgaliyev
AU  - Sh. K. Abikenova
AU  - Sh. U. Azhgaliev
AU  - Ye. Ye. Nurmoldin
AU  - G. E. Taugynbayeva
AU  - A. Zh. Zhubanysheva
TI  - Equivalence of computed tomography problem with the problem of recovery of functions by finite convolutions in a scheme of computational (numerical) diameter
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2023
SP  - 95
EP  - 102
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2023_12_a7/
LA  - ru
ID  - IVM_2023_12_a7
ER  - 
%0 Journal Article
%A N. Temirgaliyev
%A Sh. K. Abikenova
%A Sh. U. Azhgaliev
%A Ye. Ye. Nurmoldin
%A G. E. Taugynbayeva
%A A. Zh. Zhubanysheva
%T Equivalence of computed tomography problem with the problem of recovery of functions by finite convolutions in a scheme of computational (numerical) diameter
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2023
%P 95-102
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2023_12_a7/
%G ru
%F IVM_2023_12_a7
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/