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A Total Fractional-Order Variation Regularized Reconstruction Method for CT
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-22
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The total variation (TV) regularized reconstruction methods for computed tomography (CT) may lead to staircase effects in the reconstructed images because of using the TV regularization.
This paper develops a total fractional-order variation regularized CT reconstruction method, aiming at overcoming the weakness of the reconstruction methods based on the TV.
Specifically, we propose an optimization model for CT reconstruction, including a fidelity term, a regularization term, and a constraint term.
Here, the regularization is a total fractional-order variation arising from the fractional derivative of the underlying solution.
To address the nondifferentiability of the resulting model, we introduce a fixed-point characterization for its solution through the proximity operators of the nondifferentiable functions.
Based on the characterization, we further develop a fixed-point iterative scheme to solve the resulting model and provide convergence analysis of the developed scheme.
Numerical experiments are presented to demonstrate that the developed method outperforms the TV regularized reconstruction method in terms of suppressing noise for CT reconstruction.
American Psychological Association (APA)
Chen, Yun& Guo, Baoyu& Lu, Yao. 2020. A Total Fractional-Order Variation Regularized Reconstruction Method for CT. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1194606
Modern Language Association (MLA)
Chen, Yun…[et al.]. A Total Fractional-Order Variation Regularized Reconstruction Method for CT. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1194606
American Medical Association (AMA)
Chen, Yun& Guo, Baoyu& Lu, Yao. A Total Fractional-Order Variation Regularized Reconstruction Method for CT. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1194606
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194606