Local Tomography for the Generalized Radon Transform

DOI10.1137/S0036139995291842zbMath0897.65084OpenAlexW2044291252MaRDI QIDQ4377345

Alexander Katsevich

Publication date: 9 February 1998

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139995291842

zbMATH Keywords

algorithmgeneralized Radon transformlocal tomographyelliptic pseudodifferential operatordetection of discontinuities

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30)

Related Items (6)

Deep microlocal reconstruction for limited-angle tomography ⋮ Local tomography for the limited-angle problem ⋮ An electron tomography algorithm for reconstructing 3D morphology using surface tangents of projected scattering interfaces ⋮ Limited Data Problems for the Generalized Radon Transform in ${{\mathbb R}^n}$ ⋮ Deep Neural Networks for Inverse Problems with Pseudodifferential Operators: An Application to Limited-Angle Tomography ⋮ Asymptotics of pseudodifferential operators acting on functions with corner singularities

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