Inversion of the attenuated X-ray transforms -- method of convolution-backprojection

DOI10.1016/J.ACHA.2021.06.003zbMath1471.65221OpenAlexW3172487892MaRDI QIDQ2036505

Yufeng Yu

Publication date: 29 June 2021

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2021.06.003

zbMATH Keywords

inversion formulaRadon transformsconvolution-backprojection methodattenuated X-ray transforms

Mathematics Subject Classification ID

Numerical methods for integral transforms (65R10) Integral operators (47G10) Numerical methods for inverse problems for integral equations (65R32)

Cites Work

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• On the inversion of the attenuated Radon transform
• Spherical Radon transform and related wavelet transforms
• Two-dimensional tomography problems and the theory of \(A\)-analytic functions
• The Radon transform.
• An inversion formula for the attenuated \(X\)-ray transformation
• Novikov's inversion formula for the attenuated Radon transform -- a new approach
• Convolution-backprojection method for the \(k\)-plane transform, and Calderón's identity for ridgelet transforms
• Inversion of the attenuated X-ray transforms: method of Riesz potentials
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• Inversion of the attenuated Radon transform
• Analytic Tomography
• On the Funk-Radon-Helgason Inversion Method in Integral Geometry

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