A new algorithm for computerized tomography based on fast Fourier transforms for nonequispaced data

Potts, Daniel ; Steidl, Gabriele

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URL: http://ub-madoc.bib.uni-mannheim.de/1848
URN: urn:nbn:de:bsz:180-madoc-18486
Document Type: Working paper
Year of publication: 2000
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: 92C55 65R10 65T50 44A12 ,
Subject headings (SWD): Computertomographie , Schnelle Fourier-Transformation , Radon-Transformation , Linogram
Keywords (English): Fast Fourier transform for nonequispaced data , Radon transform , computerized tomography , gridding , linogram , chirp-z transform
Abstract: In this paper, we propose a new linogram algorithm for the high quality Fourier reconstruction of digital N x N images from their Radon transform. The algorithm is based on univariate fast Fourier transforms for nonequispaced data in the time domain and in the frequency domain. The algorithm requires only O(N²log N) arithmetic operations and preserves the good reconstruction quality of the filtered backprojection.
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