title: Data consistency condition for truncated projections in fan-beam geometry.
abstract: It is well known that CT projections are redundant. Over the past decades, significant efforts have been devoted to characterize the data redundancy in different aspects. Very recently, Clackdoyle and Desbat reported a new integral-type data consistency condition (DCC) for truncated 2D parallel-beam projections, which can be applied to a region inside a field of view (FOV) but outside of the convex hull of the compact support of an object. Inspired by their work, here we derive a more general condition for 2D fan-beam geometry with a general scanning trajectory. This extended DCC is verified with simulated projections of the Shepp-Logan phantom and a clinically collected sinogram. Then, we demonstrate an application of the proposed DCC.
authors.affiliation: Department of Electrical and Computer Engineering, University of Massachusetts Lowell, Lowell, MA, USA.
authors.forename: Hengyong
authors.initials: H
authors.lastname: Yu
authors.affiliation: Biomedical Imaging Center, Center for Biotechnology and Interdisciplinary Studies, Department of Biomedical Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA.
authors.forename: Ge
authors.initials: G
authors.lastname: Wang
authors.affiliation: LMAM, School of Mathematical Sciences, Peking University, Beijing, China.
authors.forename: Jiansheng
authors.initials: J
authors.lastname: Yang
authors.affiliation: CT Systems and Applications Laboratory, GE Global Research Center, Niskayuna, NY, USA.
authors.forename: Jed D
authors.initials: JD
authors.lastname: Pack
authors.affiliation: LMAM, School of Mathematical Sciences, Peking University, Beijing, China.
authors.forename: Ming
authors.initials: M
authors.lastname: Jiang
authors.affiliation: CT Systems and Applications Laboratory, GE Global Research Center, Niskayuna, NY, USA.
authors.forename: Bruno
authors.initials: B
authors.lastname: De Man
mesh_terms: D016477:Artifacts; D003198:Computer Simulation; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D019047:Phantoms, Imaging; D014057:Tomography, X-Ray Computed / Q000379:methods*
keywords: Data consistency condition; fan-beam geometry; general scanning trajectory; interior problem; motion artifact reduction; truncated projections