title: Computing reconstruction kernels for circular 3-D cone beam tomography.
abstract: In this paper, we present techniques for deriving inversion algorithms in 3-D computer tomography. To this end, we introduce the mathematical model and apply a general strategy, the so-called approximate inverse, for deriving both exact and numerical inversion formulas. Using further approximations, we derive a 2-D shift-invariant filter for circular-orbit cone-beam imaging. Results from real data are presented.
authors.affiliation: Department of Mathematics, Saarland University, 66041 Saarbrücken, Germany. louis@num.uni-sb.de
authors.forename: Alfred K
authors.initials: AK
authors.lastname: Louis
authors.forename: Thomas
authors.initials: T
authors.lastname: Weber
authors.forename: David
authors.initials: D
authors.lastname: Theis
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D003198:Computer Simulation; D005583:Fourier Analysis; D006801:Humans; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted; D019047:Phantoms, Imaging; D012984:Software; D014057:Tomography, X-Ray Computed / Q000379:methods*