TY - RPRT
T1 - On the smoothing property of the Bayes approach to picture reconstruction
T3 - Saarbrücken, 1978
A1 - Natterer,Frank
Y1 - 2011/07/29
N2 - The paper is concerned with the reconstruction of a picture density f from a finite number of its strip integrals. It is shown that the Bayes estimate for f is in the Sobolev space H^{3/2} if the isotropic exponential model for f is used. As picture densities are far from being in H^{3/2} (the isotropic exponential model e.g. implies, roughly speaking, only fin H^{1/2}), the Bayes approach can be expected to smooth out peaks and high contrasts. This drawback of the Bayes approach was in fact observed in a comparative numerical test carried out by Herman and Lent [ 6].
CY - Saarbrücken
PB - Saarländische Universitäts- und Landesbibliothek
AD - Postfach 151141, 66041 Saarbrücken
UR - http://scidok.sulb.uni-saarland.de/volltexte/2011/4043
ER -