Nonlinear regularization of inversion of exponential Radon transform

DOI10.3103/S0278641912010098zbMath1157.65511MaRDI QIDQ2377610

O. V. Shestakov

Publication date: 20 January 2009

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

zbMATH Keywords

inversionreconstructionexponential Radon transformonlinear regularizationwavelet-series

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for wavelets (65T60) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30)

Cites Work

• The Radon transform
• Estimation of the distance between the densities of probabilistic measures with close projections
• A solution of the computer tomography paradox and estimating the distances between the densities of measures with the same marginals
• Inversion of the attenuated Radon transform
• Reconstruction of a two-dimensional reflecting medium over a circular domain: Exact solution
• Inversion of Spherical Means and the Wave Equation in Even Dimensions

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