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. Abikenova, Sh Urynbasarovich Azhgaliev, Y. Y. Nurmoldin, Galiya Erbolovna Taugynbayeva, Aksaule Zhanbyrshievna Zhubanysheva

2023

Full text Open access: Hybrid Metadata (CSL-JSON)

DOI 10.26907/0021-3446-2023-12-95-102

Data confidence 70 medium

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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 non-trivial results in Computed Tomography.