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: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2006/v7r121.html
Дата изменения: Mon Oct 9 15:25:59 2006 Дата индексирования: Mon Oct 1 22:40:57 2012 Кодировка: |
"The central slice theorem generalization for a fan-beam tomography" Pickalov V.V., Kazantsev D.I., Golubyatnikov V.P. |
The problems of few-view tomography require sophisticated iterative algorithms which employ a priori information on an unknown object. One of the well-developed algorithms for parallel tomography is the Gerchberg-Papoulis algorithm, which alternately iterates images in Fourier space and in image space. The application of this algorithm in the case of fan-beam tomography is blocked by the lack of the corresponding central slice theorem that connects 1D Fourier coefficients of projections with the Fourier coefficients of a 2D image. In this paper, we formulate the central slice theorem for the case of fan-beam tomography. The use of this modified theorem is illustrated by several numerical examples.
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Pickalov V.V., Kazantsev D.I.
e-mail: pickalov@itam.nsc.ru,
www.itam.nsc.ru/lab17
Golubyatnikov V.P. e-mail: glbtn@math.nsc.ru |