Fourier reconstruction of functions from their nonstandard sampled Radon transform

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URL:	http://ub-madoc.bib.uni-mannheim.de/1604
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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BASE: Potts, Daniel ; Steidl, Gabriele

Google Scholar: Potts, Daniel ; Steidl, Gabriele

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