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

IF 0.5 Q3 MATHEMATICS Russian Mathematics Pub Date : 2024-02-28 DOI:10.3103/s1066369x23120095
N. Temirgaliyev, Sh. K. Abikenova, Sh. U. Azhgaliyev, Ye. Ye. Nurmoldin, G. E. Taugynbayeva, A. Zh. Zhubanysheva
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引用次数: 0

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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计算（数值）直径方案中的计算机断层扫描问题与通过有限卷积恢复函数问题的等价性
摘要 阐述了用专门构建的元素进行有限密度变换和 Radon 变换等算子求得的人体所需密度的偏差规范的等价性。它说明了以前在计算（数值）直径理论中建立的计算机科学如何立即导致计算断层扫描中的非难结果。
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来源期刊
Russian Mathematics
Russian Mathematics MATHEMATICS-
CiteScore
0.90
自引率
25.00%
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0
期刊介绍： Russian Mathematics  is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.
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