Resolution analysis of inverting the generalized \(N\)-dimensional Radon transform in \(\mathbb{R}^n\) from discrete data
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Publication:2686570
DOI10.1007/s00041-022-09975-xOpenAlexW4313204153MaRDI QIDQ2686570
Publication date: 28 February 2023
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.09035
Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10)
Related Items (3)
Resolution of 2 Dimensional Reconstruction of Functions with Nonsmooth Edges from Discrete Radon Transform Data ⋮ Novel Resolution Analysis for the Radon Transform in \(\mathbb R^2\) for Functions with Rough Edges ⋮ Tomographic inverse problems: mathematical challenges and novel applications. Abstracts from the workshop held April 30 -- May 5, 2023
Cites Work
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- Theory of Besov spaces
- The analysis of linear partial differential operators. III: Pseudo-differential operators
- The analysis of linear partial differential operators. IV: Fourier integral operators
- Oscillatory and Fourier integral operators with degenerate canonical relations
- Fourier integral operators. I
- Fourier integral operators. II
- Multiscale Discrete Approximation of Fourier Integral Operators
- Pseudodifferential and Singular Integral Operators
- Singularities of the radon transform
- Fast Computation of Fourier Integral Operators
- A Fast Butterfly Algorithm for the Computation of Fourier Integral Operators
- The Dependence of the Generalized Radon Transform on Defining Measures
- 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 resolution of tomographic-type reconstruction from discrete data for a class of distributions
- An Inversion Formula for Cone-Beam Reconstruction
- Analysis of Reconstruction from Discrete Radon Transform Data in R^3 When the Function Has Jump Discontinuities
- Sampling in Fan Beam Tomography
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