TY  - RPRT
T1  - Picture reconstruction from projections in restricted range
T3  - Saarbrücken, 1979
A1  - Louis,Alfred K.
Y1  - 2011/07/29
N2  - 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.
CY  - Saarbrücken
PB  - Universitäts- und Landesbibliothek
AD  - Postfach 151141, 66041 Saarbrücken
UR  - http://scidok.sulb.uni-saarland.de/volltexte/2011/4044
ER  -