title: Image reconstruction via the finite Hilbert transform of the derivative of the backprojection.
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.
authors.affiliation: UCAIR, University of Utah, 729 Arapeen Drive, Salt Lake City, Utah 84108, USA. larry@ucair.med.utah.edu
authors.forename: Gengsheng L
authors.initials: GL
authors.lastname: Zeng
mesh_terms: D000465:Algorithms; D007091:Image Processing, Computer-Assisted; D019047:Phantoms, Imaging; D011856:Radiographic Image Enhancement