Interior Tomography Using 1D Generalized Total Variation. Part I: Mathematical Foundation

DOI10.1137/140982428zbMath1316.44002OpenAlexW2039574235MaRDI QIDQ5253188

Michael Unser, Minji Lee, John Paul Ward, Jong Chul Ye

Publication date: 4 June 2015

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140982428

zbMATH Keywords

algorithmnumerical exampleRadon transformHilbert transformperfect reconstructioninterior tomographygeneralized total variation

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10)

Related Items (3)

Interior Tomography Using 1D Generalized Total Variation. Part II: Multiscale Implementation ⋮ Optimization-Based Approach for Joint X-Ray Fluorescence and Transmission Tomographic Inversion ⋮ Nonlocal TV-Gaussian prior for Bayesian inverse problems with applications to limited CT reconstruction

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