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Image reconstruction via the finite Hilbert transform of the derivative of the backprojection
Author(s) -
Zeng Gengsheng L.
Publication year - 2007
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.2739813
Subject(s) - iterative reconstruction , derivative (finance) , mathematics , medical imaging , calculus (dental) , computer science , computer vision , artificial intelligence , medicine , dentistry , financial economics , economics
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.