Invertibility and stability for a generic class of Radon transforms with application to dynamic operators
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Publication:2316698
DOI10.1515/jiip-2018-0014zbMath1429.44001arXiv1707.08936OpenAlexW2951593635WikidataQ128813788 ScholiaQ128813788MaRDI QIDQ2316698
Publication date: 6 August 2019
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.08936
Integral transforms in distribution spaces (46F12) Radon transform (44A12) Pseudodifferential and Fourier integral operators on manifolds (58J40) Integral geometry (53C65)
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Cites Work
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- The X-ray transform for a generic family of curves and weights
- A support theorem for the geodesic ray transform on functions
- Support theorems for real-analytic Radon transforms
- Local tomography for the limited-angle problem
- Stability estimates for the \(X\)-ray transform of tensor fields and boundary rigidity
- Injectivity and stability for a generic class of generalized Radon transforms
- Reconstruction of dynamic objects with affine deformations in computerized tomography
- Fourier integral operators. I
- Microlocal Analysis in Tomography
- Local Tomography and the Motion Estimation Problem
- Detectable Singularities from Dynamic Radon Data
- Motion compensated local tomography
- An accurate approximate algorithm for motion compensation in two-dimensional tomography
- The inversion problem and applications of the generalized radon transform
- Some Problems in Integral Geometry and Some Related Problems in Micro-Local Analysis
- Improved cone beam local tomography
- Efficient algorithms for linear dynamic inverse problems with known motion
- Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients
