Please use this identifier to cite or link to this item: doi:10.22028/D291-26088
Title: Picture reconstruction from projections in restricted range
Author(s): Louis, Alfred K.
Language: English
Year of Publication: 1979
OPUS Source: Saarbrücken, 1979
DDC notations: 004 Computer science, internet
Publikation type: Report
Abstract: In order to reduce scanning time modern x-ray scanners provide projections only in a restricted range [O, &Phi;] with &Phi;< &pi;. We consider the reconstruction of pictures from p+1 complete projections in [O, &Phi;]. An extrapolation procedure is given to achieve approximations gp of the data in the whole range. We show that the L2-error of the corresponding picture is of order p- &alpha; if the original belongs to the SOBOLEV space H o &alpha;. The validity of our error estimate is investigeted by numerical experiments.
Link to this record: urn:nbn:de:bsz:291-scidok-40444
Series name: Bericht / A / Fachbereich Angewandte Mathematik und Informatik, Universität des Saarlandes
Series volume: 1979/12
Date of registration: 29-Jul-2011
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Informatik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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