title: A new scheme for view-dependent data differentiation in fan-beam and cone-beam computed tomography.
abstract: In computed tomography, analytical fan-beam (FB) and cone-beam (CB) image reconstruction often involves a view-dependent data differentiation. The implementation of this differentiation step is critical in terms of resolution and image quality. In this work, we present a new differentiation scheme that is robust to changes in the data acquisition geometry and to coarse view sampling. Our scheme was compared to two previously suggested methods, which we call the direct scheme and the chain-rule scheme. Image reconstructions were performed from computer-simulated data of the Shepp-Logan phantom, the FORBILD thorax phantom and a modified FORBILD head phantom. For FB reconstruction, we investigated three acquisition geometries: a circular, an ellipse-shaped and a square-shaped trajectory. For CB reconstruction, the circle-plus-line trajectory was considered. Image comparison showed that the new scheme performs consistently well when varying the scenario, in both FB and CB geometry, unlike the other two schemes.
authors.affiliation: UCAIR, Department of Radiology, University of Utah, UT, USA. noo@ucair.med.utah.edu
authors.forename: Frédéric
authors.initials: F
authors.lastname: Noo
authors.forename: Stefan
authors.initials: S
authors.lastname: Hoppe
authors.forename: Frank
authors.initials: F
authors.lastname: Dennerlein
authors.forename: Günter
authors.initials: G
authors.lastname: Lauritsch
authors.forename: Joachim
authors.initials: J
authors.lastname: Hornegger
mesh_terms: D000465:Algorithms; D016247:Information Storage and Retrieval / Q000379:methods*; D019047:Phantoms, Imaging; D011856:Radiographic Image Enhancement / Q000379:methods*; D011857:Radiographic Image Interpretation, Computer-Assisted / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D036542:Tomography, Spiral Computed / Q000295:instrumentation / Q000379:methods*