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pro vyhledávání: '"Aramyan, Rafik"'
Autor:
Aramyan, Rafik
Hyperplane is a set of non-injectivity of the spherical Radon transform (SRT) in the space of continuous functions in R^d. In this article, for the reconstruction of an unknown function f from C(R^3) (the support can be non-compact), using the spheri
Externí odkaz:
http://arxiv.org/abs/2404.04630
The problem of recovering a moment-determinate multivariate function $f$ via its moment sequence is studied. Under mild conditions on $f$, the point-wise and $L_1$-rates of convergence for the proposed constructions are established. The cases where $
Externí odkaz:
http://arxiv.org/abs/2312.04462
Autor:
Aramyan, Rafik
In this article we study the spherical mean Radon transform in $\mathbf R^3$ with detectors centered on a plane. We use the consistency method suggested by the author of this article for the inversion of the transform in 3D. A new iterative inversion
Externí odkaz:
http://arxiv.org/abs/2206.11605
Autor:
Aramyan, Rafik
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 February 2024 530(2)
Akademický článek
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Autor:
Aramyan, Rafik
The article suggests a new approach what is called a consistency method for the inversion of the spherical Radon transform in 2D with detectors on a line. It is known that there is not an exact inversion formula in 2D. By means of the method was prov
Externí odkaz:
http://arxiv.org/abs/1705.10690
Publikováno v:
In Journal of Computational and Applied Mathematics 15 October 2021 395
Autor:
Aramyan, Rafik1,2 (AUTHOR) rafikaramyan@yahoo.com
Publikováno v:
Studies in Applied Mathematics. Aug2024, Vol. 153 Issue 2, p1-14. 14p.
The present paper suggests a new approach for geometric representation of 3D spatial models and provides a new compression algorithm for 3D meshes, which is based on mathematical theory of convex geometry. In our approach we represent a 3D convex pol
Externí odkaz:
http://arxiv.org/abs/1308.2509