An Adaptive Proximal Point Algorithm for Sparse-View CT Image Reconstruction

被引:0
|
作者
Zhu Y. [1 ]
Chen M.-Z. [1 ]
Chen Y. [2 ]
Yu G.-H. [2 ]
Wei L. [3 ]
机构
[1] School of Physics and Electronics Information, Gannan Normal University, Ganzhou, 341000, Jiangxi
[2] School of Mathematics and Computer Science, Gannan Normal University, Ganzhou, 341000, Jiangxi
[3] College of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing
来源
Dianzi Keji Daxue Xuebao/Journal of the University of Electronic Science and Technology of China | 2019年 / 48卷 / 02期
关键词
Computed tomography reconstruction; Proximal point; Saddle point problems; Sparse view; Total variation;
D O I
10.3969/j.issn.1001-0548.2019.02.011
中图分类号
学科分类号
摘要
This paper presents an adaptive proximal point algorithm (APPA) for sparse-view computed tomography (CT) image reconstruction based on total variation regularization. The proposed algorithm chooses an adaptive proximal parameter matrix which is neither necessary symmetric nor constant in each iteration. By using the framework of contraction method, the global convergence result could be established for the proposed algorithm under suitable conditions. Numerical results for 2-D CT reconstruction from simulated digital Shepp-Logan phantom data show that APPA method is effective and practical. © 2019, Editorial Board of Journal of the University of Electronic Science and Technology of China. All right reserved.
引用
收藏
页码:228 / 232
页数:4
相关论文
共 16 条
  • [1] Gao H.-W., Zhang L., Chen Z.-Q., Et al., Reviews of image reconstruction from limited-angle, Computerized Tomography Theory and Applications, 15, 1, pp. 46-50, (2006)
  • [2] Hsieh J., Zhang C.-Z., Computer Tomography: Principle, Design, Artifacts and Recent Advances, (2006)
  • [3] Yu H., Bin Y., Lei L., Et al., Rebinned filtered back-projection reconstruction from truncated data for half-covered helical cone-beam computed tomography, IEEE Transactions on Nuclear Science, 61, 5, pp. 2753-2763, (2014)
  • [4] Nassi M., Brody W.R., Medoff B.P., Et al., Iterative reconstruction-reprojection: an algorithm for limited data cardiac-computed tomography, IEEE Transactions on Biomedical Engineering, 29, 5, pp. 333-341, (1982)
  • [5] Herman G.T., Meyer L.B., Algebraic reconstruction techniques can be made computationally efficient [positron emission tomography application], IEEE Transactions on Medical Imaging, 12, 3, pp. 600-609, (1993)
  • [6] Fang L., Juan F.P., Abascal J., Et al., Total variation regularization with split Bregman-based method in magnetic induction tomography using experimental data, IEEE Sensors Journal, 17, 4, pp. 976-985, (2017)
  • [7] Persson M., Bone D., Elmqvist H., Total variation norm for three-dimensional iterative reconstruction in limited view angle tomography, Physics in Medicine and Biology, 46, 3, pp. 853-866, (2001)
  • [8] Sidky E.Y., Pan X., Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization, Physics in Medicine and Biology, 53, 17, pp. 4777-4807, (2008)
  • [9] Sidky E.Y., Chartrand R., Boone J.M., Et al., Constrained minimization for enhanced exploitation of gradient sparsity: Application to CT image reconstruction, IEEE Journal of Translational Engineering in Health and Medicine, 2, pp. 1-18, (2014)
  • [10] Fessler J.A., Penalized weighted least-squares image reconstruction for positron emission tomography, IEEE Transactions on Medical Imaging, 13, 2, pp. 290-300, (1994)