Resolution Analysis of Inverting the Generalized Radon Transform from Discrete Data in $\mathbb{R}^3$

DOI10.1137/19M1295039zbMath1469.44005arXiv1908.04753OpenAlexW3081280821MaRDI QIDQ5124627

Alexander Katsevich

Publication date: 30 September 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.04753

zbMATH Keywords

uniform distributiondiscrete datageneralized Radon transformresolution analysis

Mathematics Subject Classification ID

Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for integral transforms (65R10)

Related Items (10)

An efficient algorithm to compute the X-ray transform ⋮ Resolution of 2 Dimensional Reconstruction of Functions with Nonsmooth Edges from Discrete Radon Transform Data ⋮ The Radon transform with finitely many angles ^* ⋮ Novel Resolution Analysis for the Radon Transform in \(\mathbb R^2\) for Functions with Rough Edges ⋮ Sampling the X-ray Transform on Simple Surfaces ⋮ Resolution analysis of inverting the generalized \(N\)-dimensional Radon transform in \(\mathbb{R}^n\) from discrete data ⋮ Tomographic inverse problems: mathematical challenges and novel applications. Abstracts from the workshop held April 30 -- May 5, 2023 ⋮ Semiclassical Sampling and Discretization of Certain Linear Inverse Problems ⋮ Analysis of resolution of tomographic-type reconstruction from discrete data for a class of distributions ⋮ Sampling for the V-line transform with vertex on a circle

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