The Interior Radon Transform
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Publication:4012471
DOI10.1137/0152040zbMath0757.44003OpenAlexW2038753442MaRDI QIDQ4012471
Publication date: 27 September 1992
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0152040
singular value decompositioncomputerized tomographyconsistency conditionslimited data probleminterior Radon transform
Numerical methods for integral equations (65R20) Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10)
Related Items (13)
The numerical method of inversion for the interior Radon transform ⋮ A range characterization of the single-quadrant ADRT ⋮ REGION-OF-INTEREST TOMOGRAPHY USING A COMPOSITE FOURIER-WAVELET ALGORITHM ⋮ Iterative positive thresholding algorithm for non-negative sparse optimization ⋮ Mumford-Shah-TV functional with application in X-ray interior tomography ⋮ Singular value decomposition for longitudinal, transverse and mixed ray transforms of 2D tensor fields ⋮ Functional Relations, Sharp Mapping Properties, and Regularization of the X-Ray Transform on Disks of Constant Curvature ⋮ Linear convergence of iterative soft-thresholding ⋮ Range characterizations and singular value decomposition of the geodesic X-ray transform on disks of constant curvature ⋮ Commuting integral and differential operators and the master symmetries of the Korteweg–de Vries equation ⋮ Radon transform over cones and related deconvolution problems. ⋮ On Sobolev instability of the interior problem of tomography ⋮ Ill-Posed Problems: From Linear to Nonlinear and Beyond
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