title: Evaluation of a new gridding method for fully 3D direct Fourier PET reconstruction based on a two-plane geometry.
abstract: This study investigated how the choice of fixed planes for the representation of the projection data of a cylindrical positron emission tomography (PET) scanner simplifies the frequency interpolation required by the 3D Fourier slice theorem (3D-FST). A new gridding algorithm based on a two-plane geometry and requiring only 1D interpolations in the Fourier domain was compared with the direct implementation of the 3D-FST. We show that the use of two orthogonal planes leads to signal to noise ratios similar to those achieved with the 3D-FST algorithm from projection data acquired with up to two times more count rates, while the resolution remains similar.
authors.affiliation: Department of Mathematics, Montpellier Science University, 34095 Montpellier, France. faybenb@hotmail.com
authors.forename: F Ben
authors.initials: FB
authors.lastname: Bouallègue
authors.forename: J F
authors.initials: JF
authors.lastname: Crouzet
authors.forename: D
authors.initials: D
authors.lastname: Mariano-Goulart
mesh_terms: D000465:Algorithms; D001921:Brain / Q000000981:diagnostic imaging*; D005583:Fourier Analysis; D006801:Humans; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D019047:Phantoms, Imaging; D049268:Positron-Emission Tomography / Q000295:instrumentation / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity