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Опубликовано 2008-10-25 Опубликовано на SciPeople2009-08-16 21:35:05 ЖурналIEEE Nuclear Science Symposium, Medical Imaging Conference

Fan-Beam Tomography Iterative Algorithm Based on Fourier Transform
D. I. Kazantsev, V. V. Pickalov / Даниил Казанцев
Аннотация 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.
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