A Local Approach to Resolution Analysis of Image Reconstruction in Tomography
From MaRDI portal
Publication:4588203
DOI10.1137/17M1112108zbMath1376.44002OpenAlexW2758992391MaRDI QIDQ4588203
Publication date: 1 November 2017
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/17m1112108
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for integral transforms (65R10)
Related Items
Using the Navier-Cauchy equation for motion estimation in dynamic imaging ⋮ 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 ⋮ 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 ⋮ Analysis of Reconstruction from Discrete Radon Transform Data in R^3 When the Function Has Jump Discontinuities ⋮ Multiscale Factorization of the Wave Equation with Application to Compressed Sensing Photoacoustic Tomography
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reconstructing singularities of a function from its Radon transform
- Optimality of the fully discrete filtered backprojection algorithm for tomographic inversion
- The Mathematics of Computerized Tomography
- Null space and resolution in dynamic computerized tomography
- Rational approximations for tomographic reconstructions
- Sampling in Flat Detector Fan Beam Tomography
- Resolution of Reconstruction Methods in Computerized Tomography
- Singularities of the radon transform
- Detectable Singularities from Dynamic Radon Data
- Motion compensated local tomography
- An accurate approximate algorithm for motion compensation in two-dimensional tomography
- Convergence of computational algorithms for recovering discontinuous functions from the Radon transform
- Reconstruction of characteristic functions in two-dimensional Radon tomography
- Tomography with a finite set of projections: singular value decomposition and resolution
- High-resolution computed tomography from efficient sampling
- Efficient sampling on coarse grids in tomography
- Singularities of the Radon transform
- Localization of harmonic decomposition of the Radon transform
- Sampling in Fan Beam Tomography
