title: Image reconstruction from fan-beam projections on less than a short scan.
abstract: This work is concerned with 2D image reconstruction from fan-beam projections. It is shown that exact and stable reconstruction of a given region-of-interest in the object does not require all lines passing through the object to be measured. Complete (non-truncated) fan-beam projections provide sufficient information for reconstruction when 'every line passing through the region-of-interest intersects the vertex path in a non-tangential way'. The practical implications of this condition are discussed and a new filtered-backprojection algorithm is derived for reconstruction. Experiments with computer-simulated data are performed to support the mathematical results.
authors.affiliation: Department of Radiology, University of Utah, Salt Lake City, USA. noo@doug.med.utah.edu
authors.forename: Frédéric
authors.initials: F
authors.lastname: Noo
authors.forename: Michel
authors.initials: M
authors.lastname: Defrise
authors.forename: Rolf
authors.initials: R
authors.lastname: Clackdoyle
authors.forename: Hiroyuki
authors.initials: H
authors.lastname: Kudo
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D006257:Head / Q000000981:diagnostic imaging*; D006801:Humans; D019047:Phantoms, Imaging; D011856:Radiographic Image Enhancement / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D014057:Tomography, X-Ray Computed / Q000295:instrumentation / Q000379:methods*