Picture reconstruction from projections in restricted range

DOI10.22028/D291-26088 10.1002/mma.1670020207; 10.22028/D291-26088zbMath0457.65081OpenAlexW1993338590MaRDI QIDQ3907032

Alfred K. Louis

Publication date: 1980

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670020207

zbMATH Keywords

Radon transformnumerical experimentsincomplete datacomputerized tomographySobolev space estimates

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Software, source code, etc. for problems pertaining to biology (92-04)

Related Items

A geometric projection-space reconstruction algorithm, Biorthogonal decompositions of the Radon transform by multivariate interpolation, Sums of homogeneous functions and the range of the divergent beam x-ray transform, On the range of the Radon transform and its dual, Ghosts in tomography – the null space of the radon transform, Analyzing Reconstruction Artifacts from Arbitrary Incomplete X-ray CT Data, Continuity of the Radon transform and its inverse on Euclidean space, Incomplete data problems in x-ray computerized tomography

Cites Work

• Practical and mathematical aspects of the problem of reconstructing objects from radiographs
• A Sobolev Space Analysis of Picture Reconstruction
• Uniform asymptotic expansions at a caustic
• The paley‐wiener theorem for the radon transform
• Errata
• Reconstruction of pictures from their projections
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