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Equivalence of Computed Tomography Problem with the Problem of Recovery of Functions by Finite Convolutions in a Scheme of Computational (Numerical) Diameter

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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.

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Funding

The work was supported by the Ministry of Science and Higher Education and Science of the Republic of Kazakhstan, project no. AP09260484.

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Authors and Affiliations

  1. Gumilyov Eurasian National University, 010008, Astana, Republic of Kazakhstan

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

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  1. N. Temirgaliyev
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  2. Sh. K. Abikenova
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  3. Sh. U. Azhgaliyev
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  4. Ye. Ye. Nurmoldin
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  5. G. E. Taugynbayeva
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  6. A. Zh. Zhubanysheva
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Corresponding authors

Correspondence to N. Temirgaliyev, Sh. K. Abikenova, Sh. U. Azhgaliyev, Ye. Ye. Nurmoldin, G. E. Taugynbayeva or A. Zh. Zhubanysheva.

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Temirgaliyev, N., Abikenova, S.K., Azhgaliyev, S.U. et al. Equivalence of Computed Tomography Problem with the Problem of Recovery of Functions by Finite Convolutions in a Scheme of Computational (Numerical) Diameter. Russ Math. 67, 86–91 (2023). https://doi.org/10.3103/S1066369X23120095

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