A. Katsevich

activity

20162021

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3 papers · 1 filter

math.NA2021

Resolution analysis of inverting the generalized $N$ -dimensional Radon transform in $R^{n}$ from discrete data

Alexander Katsevich

Let $R$ denote the generalized Radon transform (GRT), which integrates over a family of $N$ -dimensional smooth submanifolds $S_{y ~} \subset U$ , $1\le…

math.NA2020

Analysis of resolution of tomographic-type reconstruction from discrete data for a class of distributions

Alexander Katsevich

Let $f (x)$ , $x \in R^{2}$ , be a piecewise smooth function with a jump discontinuity across a smooth surface $S$ . Let $f_{Λ ε}$ denote the Lambda tomography (LT) reconst…

math.NA2019

Resolution analysis of inverting the generalized Radon transform from discrete data in $R^{3}$

Alexander Katsevich

A number of practically important imaging problems involve inverting the generalized Radon transform (GRT) $R$ of a function $f$ in $R^{3}$ . On the other hand, not m…

Resolution analysis of inverting the generalized N-dimensional Radon transform in Rn from discrete data

Analysis of resolution of tomographic-type reconstruction from discrete data for a class of distributions

Resolution analysis of inverting the generalized Radon transform from discrete data in R3

Resolution analysis of inverting the generalized $N$ -dimensional Radon transform in $R^{n}$ from discrete data

Resolution analysis of inverting the generalized Radon transform from discrete data in $R^{3}$