Microlocal Analysis of Generalized Radon Transforms from Scattering Tomography
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Publication:5860349
DOI10.1137/20M1357305zbMath1489.44004arXiv2007.00208OpenAlexW3184033993MaRDI QIDQ5860349
James W. Webber, Eric Todd Quinto
Publication date: 19 November 2021
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.00208
Radon transform (44A12) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Linear integral equations (45A05)
Related Items (2)
Microlocal properties of seven-dimensional lemon and apple Radon transforms with applications in Compton scattering tomography ⋮ An exact Radon formula for Lambertian tomography
Cites Work
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- Inversion of the V-line Radon transform in a disc and its applications in imaging
- The analysis of linear partial differential operators. III: Pseudo-differential operators
- The analysis of linear partial differential operators. IV: Fourier integral operators
- Support curves of invertible Radon transforms
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- Bragg scattering tomography
- Fourier integral operators. I
- Fourier integral operators. II
- On the Determination of a Function from Its Conical Radon Transform with a Fixed Central Axis
- Microlocal Analysis of SAR Imaging of a Dynamic Reflectivity Function
- A uniform reconstruction formula in integral geometry
- Inversion formulas for the broken-ray Radon transform
- Singularities of the X-Ray Transform and Limited Data Tomography in $\mathbb{R}^2 $ and $\mathbb{R}^3 $
- Three-Dimensional Image Reconstruction from Compton Camera Data
- Analytical inversion of the Compton transform using the full set of available projections
- Microlocal Analysis of a Compton Tomography Problem
- New properties of the V-line Radon transform and their imaging applications
- Radon's Problem for Some Surfaces in R n
- The Dependence of the Generalized Radon Transform on Defining Measures
- Compton camera imaging and the cone transform: a brief overview
- Some analytic properties of the cone transform
- The V-line transform with some generalizations and cone differentiation
- Inversion of the conical Radon transform with vertices on a surface of revolution arising in an application of a Compton camera
- A joint reconstruction and lambda tomography regularization technique for energy-resolved x-ray imaging
- Inversion formulas for cone transforms arising in application of Compton cameras
- Recovery of singularities for the weighted cone transform appearing in Compton camera imaging
- Analyzing Reconstruction Artifacts from Arbitrary Incomplete X-ray CT Data
- Artifacts in Incomplete Data Tomography with Applications to Photoacoustic Tomography and Sonar
- Analytic Inversion of a Conical Radon Transform Arising in Application of Compton Cameras on the Cylinder
- Exact reconstruction formulas for a Radon transform over cones
- Exact inversion of the conical Radon transform with a fixed opening angle
- Radon transforms on a class of cones with fixed axis direction
- Fourier integral operators
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