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

DOI10.1088/1361-6420/abb2fbzbMath1458.94186arXiv2001.05774OpenAlexW3081346326MaRDI QIDQ5139322

Alexander Katsevich

Publication date: 8 December 2020

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.05774

zbMATH Keywords

samplingtomographyreconstructionresolutionclassical singularitiestransition behavior

Mathematics Subject Classification ID

Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Sampling theory in information and communication theory (94A20)

Related Items (6)

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 ⋮ 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 ⋮ Foreword to special issue of Inverse Problems on modern challenges in imaging

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