A geometric based preprocessing for weighted ray transforms with applications in SPECT
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Publication:2042425
DOI10.1515/jiip-2020-0015zbMath1480.44003arXiv1911.05470OpenAlexW3024987707MaRDI QIDQ2042425
Publication date: 20 July 2021
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.05470
Uses Software
Cites Work
- L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
- The X-ray transform for a generic family of curves and weights
- The invertibility of rotation invariant Radon transforms
- The Radon transform.
- An inversion formula for the attenuated \(X\)-ray transformation
- Integral geometry for tensor fields. Transl. from the Russian
- The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
- A duality for symmetric spaces with applications to group representations
- Inversion of the attenuated Radon transform
- A new SPECT reconstruction algorithm based on the Novikov explicit inversion formula
- On Radon transforms on compact Lie groups
- Combined source and attenuation reconstructions in SPECT
- Local non-injectivity for weighted radon transforms
- Using NFFT 3---A Software Library for Various Nonequispaced Fast Fourier Transforms
- Spherical Functions on a Semisimple Lie Group, I
- Inversion of weighted Radon transforms via finite Fourier series weight approximations
- The inversion problem and applications of the generalized radon transform
- The Dependence of the Generalized Radon Transform on Defining Measures
- Radon Inversion--Variations on a Theme
- Generalized and attenuated radon transforms: restorative approach to the numerical inversion
- An iterative inversion of weighted Radon transforms along hyperplanes
- Microlocal analysis of imaging operators for effective common offset seismic reconstruction
- On single-photon emission computed tomography imaging based on an exact formula for the nonuniform attenuation correction
- Geodesic ray transform with matrix weights for piecewise constant functions
- Weighted Radon transforms for which Chang's approximate inversion formula is exact
- The geodesic X-ray transform with matrix weights
- On Wiener-type filters in SPECT
- Radon-Fourier transforms on symmetric spaces and related group representations
- The Radon Transform and Medical Imaging
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