Alexander Katsevich

activity

20142023

most citedSingular value decomposition of a finite Hilbert transform defined on several intervals and the interior problem of tomography: the Riemann-Hilbert problem approach

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NA2023

Analysis of view aliasing for the generalized Radon transform in $R^{2}$

Alexander Katsevich

In this paper we consider the generalized Radon transform $R$ in the plane. Let $f$ be a piecewise smooth function, which has a jump across a smooth curve $S$ . We…

math.NA2021★ 1 cited

Resolution of 2D reconstruction of functions with nonsmooth edges from discrete Radon transform data

Alexander Katsevich

Let $f$ be an unknown function in $R^{2}$ , and $f_{ε}$ be its reconstruction from discrete Radon transform data, where $ε$ is the data sampling rate. We study the resolution of…

math.SP2014★ 1 cited

Singular value decomposition of a finite Hilbert transform defined on several intervals and the interior problem of tomography: the Riemann-Hilbert problem approach

Marco Bertola, Alexander Katsevich, Alex Tovbis

We study the asymptotics of singular values and singular functions of a Finite Hilbert transform (FHT), which is defined on several intervals. Transforms of this kind arise in the…

Analysis of view aliasing for the generalized Radon transform in R2

Resolution of 2D reconstruction of functions with nonsmooth edges from discrete Radon transform data

Singular value decomposition of a finite Hilbert transform defined on several intervals and the interior problem of tomography: the Riemann-Hilbert problem approach

Analysis of view aliasing for the generalized Radon transform in $R^{2}$