Affiliations: [a]
School of Science, North University of China, Taiyuan, Shanxi, China
| [b]
Department of Electrical and Computer Engineering, University of Massachusetts Lowell, Lowell, MA, USA
| [c]
Department of Biomedical Engineering, Wake Forest University Health Sciences, Winston-Salem, NC, USA
| [d]
Virginia Tech-Wake Forest University School of Biomedical Engineering and Sciences, Winston-Salem, NC, USA
Correspondence:
[*]
Corresponding author: Hengyong Yu, Department of Electrical and Computer Engineering, University of Massachusetts Lowell, Lowell, MA 01854, USA. Tel.: +1 978 934 6756; Fax: +1 978 934 3027; E-mail: hengyong-yu@ieee.org.
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.
Keywords: Ordered subset Split-Bregman, interior tomography, compressive sensing, total variation minimization, piecewise constant imaging model
