The broken ray transform: additional properties and new inversion formula
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Publication:5236699
DOI10.1088/1361-6420/ab355fzbMath1436.78005arXiv1904.00341OpenAlexW3098608179MaRDI QIDQ5236699
Joseph A. O'Sullivan, Michael R. Walker II
Publication date: 10 October 2019
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.00341
Biomedical imaging and signal processing (92C55) Radon transform (44A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Geometric optics (78A05)
Related Items (4)
V-line 2-tensor tomography in the plane ⋮ Inversion and symmetries of the star transform ⋮ Compton scattering tomography in translational geometries ⋮ Generalized V-line transforms in 2D vector tomography
Cites Work
- The broken ray transform on the square
- Inversion of the V-line Radon transform in a disc and its applications in imaging
- Mathematical Methods in Image Reconstruction
- Broken ray transform: inversion and a range condition
- Inversion of the star transform
- On new {\mathfrak V}-line Radon transforms in \mathbb {R}^{2} and their inversion
- Inversion formulas for the broken-ray Radon transform
- Nonreciprocal broken ray transforms with applications to fluorescence imaging
- Compton camera imaging and the cone transform: a brief overview
- Abel transforms with low regularity with applications to x-ray tomography on spherically symmetric manifolds
- The V-line transform with some generalizations and cone differentiation
- Exact inversion of the conical Radon transform with a fixed opening angle
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