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Image reconstruction via the finite Hilbert transform of the derivative of the backprojection
1UCAIR, University of Utah, 729 Arapeen Drive, Salt Lake City, Utah 84108, USA. larry@ucair.med.utah.edu
Abstract:
An exact analytical image reconstruction method is presented for two-dimensional 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.
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