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, Φ] with Φ< π. We consider the reconstruction of pictures from p+1 complete projections in [O, Φ]. 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- α if the original belongs to the SOBOLEV space H o α. The validity of our error estimate is investigeted by numerical experiments. |
Link to this record: | urn:nbn:de:bsz:291-scidok-40444 hdl:20.500.11880/26144 http://dx.doi.org/10.22028/D291-26088 |
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 |
Files for this record:
File | Description | Size | Format | |
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fb14_1979_12.pdf | 6,27 MB | Adobe PDF | View/Open |
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