Tomographic reconstructions from incomplete data-numerical inversion of the exterior Radon transform

DOI10.1088/0266-5611/4/3/019zbMath0663.65136OpenAlexW1988218070MaRDI QIDQ3814746

Eric Todd Quinto

Publication date: 1988

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/997e137e30880b0277e55887ad82460bfbf1ab1d

zbMATH Keywords

algorithmstabilitysingular value decompositioncomputerized tomographyreconstructiontruncated series expansionexterior Radon transformincomplete data problem

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10)

Related Items (14)

Local algorithms in exterior tomography ⋮ Research biography of a distinguished expert in the field of inverse problems: Professor Eric Todd Quinto ⋮ Compton scatter tomography in annular domains ⋮ Limited-data x-ray CT for underwater pipeline inspection ⋮ Algorithm for recovering discontinuities of a function from its Radon transform ⋮ Optimization for limited angle tomography in medical image processing ⋮ Microlocal Analysis in Tomography ⋮ Real Analytic Radon Transforms on Rank One Symmetric Spaces ⋮ Singularities of the Radon transform ⋮ Image reconstruction model for the exterior problem of computed tomography based on weighted directional total variation ⋮ An image reconstruction model regularized by edge-preserving diffusion and smoothing for limited-angle computed tomography ⋮ Tomographic reconstruction with spatially varying parameter selection ⋮ Reconstructing singularities of a function from its Radon transform ⋮ Joint Gaussian dictionary learning and tomographic reconstruction

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