Regularization approach for inverting the exponential Radon transforms (ERT)

DOI10.1016/J.AMC.2008.11.005zbMath1163.65097OpenAlexW2022086920MaRDI QIDQ1002310

Wang, Ping, Zheng, Kewang

Publication date: 25 February 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.11.005

zbMATH Keywords

Sobolev spacesregularizationill-posed problemexponential Radon transform

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Radon transform (44A12) Numerical methods for integral transforms (65R10)

Cites Work

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• Filtered-backprojection and the exponential Radon transform
• Determination of an unknown coefficient in a nonlinear heat equation
• Reconstruction of heat sources in heat conduction equations
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• Computerized Tomography with Unknown Sources
• Fourier Inversion of the Attenuated X-Ray Transform
• Inversion of the exponential X-ray transform. I: Analysis
• The Exponential Radon Transform
• A family of $\pi$-scheme exponential Radon transforms and the uniqueness of their inverses
• Some inversion formulas in the single photon emission computed tomography
• Inversion of the exponential X‐ray transform. II: Numerics
• Reconstruction of spatial heat sources in heat conduction problems

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