Please use this identifier to cite or link to this item: doi:10.22028/D291-26087
Title: On the smoothing property of the Bayes approach to picture reconstruction
Author(s): Natterer, Frank
Language: English
Year of Publication: 1978
OPUS Source: Saarbrücken, 1978
DDC notations: 004 Computer science, internet
Publikation type: Report
Abstract: 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].
Link to this record: urn:nbn:de:bsz:291-scidok-40432
Series name: Bericht / A / Fachbereich Angewandte Mathematik und Informatik, Universität des Saarlandes
Series volume: 1978/16
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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