Alexander Katsevich

activity

20142024

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 4 of their papers we have counts for

collaborators

Showing math.NAShow all

3 papers · 1 filter

math.NA2024

Local reconstruction analysis of inverting the Radon transform in the plane from noisy discrete data

Anuj Abhishek, Alexander Katsevich, James W. Webber

In this paper, we investigate the reconstruction error, $N_\e^{\text{rec}}(x)$, when a linear, filtered back-projection (FBP) algorithm is applied to noisy, discrete Radon transfor…

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…

Local reconstruction analysis of inverting the Radon transform in the plane from noisy discrete data

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

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