Incomplete data problems in X-ray computerized tomography. II: Truncated projections and region-of-interest tomography

DOI10.1007/BF01396611zbMath0675.65137OpenAlexW1270224975WikidataQ60707604 ScholiaQ60707604MaRDI QIDQ1122350

Alfred K. Louis, Andreas Rieder

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133403

zbMATH Keywords

consistencysingular value decompositioncomputerized tomographydivergent beam transformfanbeam geometryincomplete data problemsregion-of-interest tomographytruncated projections

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Integral equations with miscellaneous special kernels (45H05)

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Cites Work

• Incomplete data problems in x-ray computerized tomography
• The divergent beam x-ray transform
• Reconstruction from Restricted Radon Transform Data: Resolution and Ill-Conditionedness
• Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case
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