Fourier reconstruction of functions from their nonstandard sampled Radon transform

Potts, Daniel ; Steidl, Gabriele

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URN: urn:nbn:de:bsz:180-madoc-16049
Document Type: Working paper
Year of publication: 2001
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Classification: MSC: 65T50 44A12 ,
Subject headings (SWD): Schnelle Fourier-Transformation , Radon-Transformation , Computertomographie
Keywords (English): Fast Fourier transform for nonequispaced data , Radon transform , computerized tomography , gridding , interlaced grid , nonstandard sampling
Abstract: In this paper, we suggest a new Fourier transform based algorithm forthe reconstruction of functions from their nonstandard sampled Radon transform. The algorithm incorporates recently developed fast Fourier transforms for nonequispaced data. We estimate the-corresponding aliasing error in dependence on the sampling geometry of the Radon transform and confirm our theoretical results by numerical examples.
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Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.

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