Analysis of resolution of tomographic-type reconstruction from discrete data for a class of distributions
From MaRDI portal
Publication:5139322
DOI10.1088/1361-6420/abb2fbzbMath1458.94186arXiv2001.05774OpenAlexW3081346326MaRDI QIDQ5139322
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The analysis of linear partial differential operators. III: Pseudo-differential operators
- The analysis of linear partial differential operators. IV: Fourier integral operators
- Reconstructing singularities of a function from its Radon transform
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- Exact cone beam reconstruction formulae for functions and their gradients for spherical and flat detectors
- Reconstruction in the three-dimensional parallel scanning geometry with application in synchrotron-based x-ray tomography
- Singularities of the radon transform
- A Local Approach to Resolution Analysis of Image Reconstruction in Tomography
- Singularities of the Radon transform
- Asymptotics of pseudodifferential operators acting on functions with corner singularities
- Localization of harmonic decomposition of the Radon transform
- Resolution Analysis of Inverting the Generalized Radon Transform from Discrete Data in $\mathbb{R}^3$
- Semiclassical Sampling and Discretization of Certain Linear Inverse Problems
- Analysis of Reconstruction from Discrete Radon Transform Data in R^3 When the Function Has Jump Discontinuities
- Sampling in Fan Beam Tomography
This page was built for publication: Analysis of resolution of tomographic-type reconstruction from discrete data for a class of distributions