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List-mode data reconstruction via the finite Hilbert transform of the derivative of the backprojection

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1 Author(s)
Gengsheng L. Zeng ; Utah Center for Advanced Imaging Research (UCAIR), Department of Radiology, University of Utah, Salt Lake City, 84108, USA

An exact analytical image reconstruction method is presented for two-dimensional (2D) imaging. The method performs backprojection, the derivative and finite Hilbert transforms. This method can be applied to many imaging geometries. The backprojection procedure is imaging- geometry dependent, while the differentiation and the finite Hilbert transform procedures are identical for all imaging geometries. This algorithm is applicable to list-mode data in nuclear medicine, while other filtered backprojection algorithms cannot be applied directly to the list-mode data.

Published in:

2007 IEEE Nuclear Science Symposium Conference Record  (Volume:6 )

Date of Conference:

Oct. 26 2007-Nov. 3 2007