title: A priori information in a regularized sinogram-based method for removing ring artefacts in tomography.
abstract: Ring artefacts in X-ray computerized tomography reconstructions are considered. The authors propose a ring artefact removal method based on a priori information regarding the sinogram including smoothness along the horizontal coordinate, symmetry of the first and the final rows and consideration of small perturbations during acquisition. The method does not require prior reconstruction of the original or corrected sinograms. Its numerical implementation is based on quadratic programming. Its efficacy is examined with regard to experimental data sets collected on graphite and bone.
authors.affiliation: Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, Russia.
authors.forename: Sofya
authors.initials: S
authors.lastname: Titarenko
authors.forename: Valeriy
authors.initials: V
authors.lastname: Titarenko
authors.forename: Albrecht
authors.initials: A
authors.lastname: Kyrieleis
authors.forename: Philip J
authors.initials: PJ
authors.lastname: Withers
mesh_terms: D000465:Algorithms; D016477:Artifacts; D001842:Bone and Bones / Q000000981:diagnostic imaging*; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D017356:Synchrotrons; D014057:Tomography, X-Ray Computed / Q000379:methods*