title: Ordered-subset Split-Bregman algorithm for interior tomography.
abstract: Inspired by the Compressed Sensing (CS) theory, it has been proved that the interior problem of computed tomography (CT) can be accurately and stably solved if a region-of-interest (ROI) is piecewise constant or polynomial, resulting in the CS-based interior tomography. The key is to minimize the total variation (TV) of the ROI under the constraint of the truncated projections. Coincidentally, the Split-Bregman (SB) method has attracted a major attention to solve the TV minimization problem for CT image reconstruction. In this paper, we apply the SB approach to reconstruct an ROI for the CS-based interior tomography assuming a piecewise constant imaging model. Furthermore, the ordered subsets (OS) technique is used to accelerate the convergence of SB algorithm, leading to a new OS-SB algorithm for interior tomography. The conventional OS simultaneous algebraic reconstruction technique (OS-SART) and soft-threshold filtering (STF) based OS-SART are also implemented as references to evaluate the performance of the proposed OS-SB algorithm for interior tomography. Both numerical simulations and clinical applications are performed and the results confirm the advantages of the proposed OS-SB method.
authors.affiliation: School of Science, North University of China, Taiyuan, Shanxi, China.|Department of Electrical and Computer Engineering, University of Massachusetts Lowell, Lowell, MA, USA.
authors.forename: Huihua
authors.initials: H
authors.lastname: Kong
authors.affiliation: Department of Electrical and Computer Engineering, University of Massachusetts Lowell, Lowell, MA, USA.|Department of Biomedical Engineering, Wake Forest University Health Sciences, Winston-Salem, NC, USA.|Virginia Tech-Wake Forest University School of Biomedical Engineering and Sciences, Winston-Salem, NC, USA.
authors.forename: Rui
authors.initials: R
authors.lastname: Liu
authors.affiliation: Department of Electrical and Computer Engineering, University of Massachusetts Lowell, Lowell, MA, USA.
authors.forename: Hengyong
authors.initials: H
authors.lastname: Yu
mesh_terms: D000465:Algorithms; D057791:Cardiac Imaging Techniques / Q000379:methods*; D003198:Computer Simulation; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D019047:Phantoms, Imaging; D014057:Tomography, X-Ray Computed / Q000379:methods*
keywords: Ordered subset Split-Bregman; compressive sensing; interior tomography; piecewise constant imaging model; total variation minimization