title: Exact fan-beam and 4pi-acquisition cone-beam SPECT algorithms with uniform attenuation correction.
abstract: This paper presents analytical fan-beam and cone-beam reconstruction algorithms that compensate for uniform attenuation in single photon emission computed tomography. First, a fan-beam algorithm is developed by obtaining a relationship between the two-dimensional (2D) Fourier transform of parallel-beam projections and fan-beam projections. Using this relationship, 2D Fourier transforms of equivalent parallel-beam projection data are obtained from the fan-beam projection data. Then a quasioptimal analytical reconstruction algorithm for uniformly attenuated Radon data, developed by Metz and Pan, is used to reconstruct the image. A cone-beam algorithm is developed by extending the fan-beam algorithm to 4pi solid angle geometry. The cone-beam algorithm is also an exact algorithm.
authors.affiliation: Department of Physics, University of Utah, Salt Lake City, Utah 84112, USA. tangql@physics.utah.edu
authors.forename: Qiulin
authors.initials: Q
authors.lastname: Tang
authors.forename: Gengsheng L
authors.initials: GL
authors.lastname: Zeng
authors.forename: Jiansheng
authors.initials: J
authors.lastname: Wu
authors.forename: Grant T
authors.initials: GT
authors.lastname: Gullberg
mesh_terms: D000465:Algorithms; D001921:Brain / Q000473:pathology; D003198:Computer Simulation; D005583:Fourier Analysis; D006801:Humans; D007089:Image Enhancement; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional; D015233:Models, Statistical; D008962:Models, Theoretical; D019047:Phantoms, Imaging; D016012:Poisson Distribution; D011857:Radiographic Image Interpretation, Computer-Assisted / Q000379:methods*; D017550:Spectroscopy, Fourier Transform Infrared; D015899:Tomography, Emission-Computed, Single-Photon / Q000379:methods*