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Content Provider | IEEE Xplore Digital Library |
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Author | Kazantsev, Daniil Pickalov, Valery |
Copyright Year | 2008 |
Description | Author affiliation: Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, 630090, Russia (Kazantsev, Daniil) || Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, 630090, Russia (Pickalov, Valery) |
Abstract | In tomography with a small number of views (i.e., optical tomography) there is a big demand for the algorithms able to adapt and efficiently use different types of a priori information about the solution. The Gerchberg-Papoulis algorithm (G-P) is known as one of the best iterative methods of a limited data tomography with parallel arrangement of projections because of its wide range of constraints it is capable to embed into processing steps. The G-P algorithm is based on the theorem of the central slice in Fourier space for parallel geometry of scanning and intensive interpolation in both image and frequency domains. In fan-beam geometry such algorithm has not been investigated, because of the central slice theorem lacking. In this paper recently developed theorem of the central slice is stated for fan-beam geometry, and on its basis the new iterative G-P algorithm is developed. |
Starting Page | 4138 |
Ending Page | 4139 |
File Size | 634012 |
Page Count | 2 |
File Format | |
ISBN | 9781424427147 |
ISSN | 10957863 |
DOI | 10.1109/NSSMIC.2008.4774191 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2008-10-19 |
Publisher Place | Germany |
Access Restriction | Subscribed |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Tomography Iterative algorithms Fourier transforms Geometry Detectors Geophysics computing Nuclear and plasma sciences Optical recording Iterative methods Interpolation |
Content Type | Text |
Resource Type | Article |
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