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Article type: Research Article
Authors: Wu, Junfenga; b; * | Dai, Fanga | Hu, Ganga | Mou, Xuanqinc
Affiliations: [a] College of Science, Xi’an University of Technology, Xi’an, China | [b] The Key Laboratory of Computer Network and Information Integration, Southeast University, Ministry of Education, Nanjing, China | [c] The Institute of Image processing and Pattern recognition, Xi’an Jiaotong University, Xi’an, China
Correspondence: [*] Corresponding author: Junfeng Wu, College of Science, Xi’an University of Technology, Xi’an, Shanxi, 710048, China. E-mail: [email protected].
Abstract: Excessive radiation exposure in computed tomography (CT) scans increases the chance of developing cancer and has become a major clinical concern. Recently, statistical iterative reconstruction (SIR) with l0-norm dictionary learning regularization has been developed to reconstruct CT images from the low dose and few-view dataset in order to reduce radiation dose. Nonetheless, the sparse regularization term adopted in this approach is l0-norm, which cannot guarantee the global convergence of the proposed algorithm. To address this problem, in this study we introduced the l1-norm dictionary learning penalty into SIR framework for low dose CT image reconstruction, and developed an alternating minimization algorithm to minimize the associated objective function, which transforms CT image reconstruction problem into a sparse coding subproblem and an image updating subproblem. During the image updating process, an efficient model function approach based on balancing principle is applied to choose the regularization parameters. The proposed alternating minimization algorithm was evaluated first using real projection data of a sheep lung CT perfusion and then using numerical simulation based on sheep lung CT image and chest image. Both visual assessment and quantitative comparison using terms of root mean square error (RMSE) and structural similarity (SSIM) index demonstrated that the new image reconstruction algorithm yielded similar performance with l0-norm dictionary learning penalty and outperformed the conventional filtered backprojection (FBP) and total variation (TV) minimization algorithms.
Keywords: L1 norm dictionary learning, alternating minimization algorithm, balancing principle, low dose CT reconstruction
DOI: 10.3233/XST-17358
Journal: Journal of X-Ray Science and Technology, vol. 26, no. 4, pp. 603-622, 2018
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