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Tomographic Image Reconstruction Based on Minimization of Symmetrized Kullback-Leibler Divergence
Joint Authors
Kasai, Ryosuke
Yamaguchi, Yusaku
Kojima, Takeshi
Yoshinaga, Tetsuya
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Iterative reconstruction (IR) algorithms based on the principle of optimization are known for producing better reconstructed images in computed tomography.
In this paper, we present an IR algorithm based on minimizing a symmetrized Kullback-Leibler divergence (SKLD) that is called Jeffreys’ J-divergence.
The SKLD with iterative steps is guaranteed to decrease in convergence monotonically using a continuous dynamical method for consistent inverse problems.
Specifically, we construct an autonomous differential equation for which the proposed iterative formula gives a first-order numerical discretization and demonstrate the stability of a desired solution using Lyapunov’s theorem.
We describe a hybrid Euler method combined with additive and multiplicative calculus for constructing an effective and robust discretization method, thereby enabling us to obtain an approximate solution to the differential equation.
We performed experiments and found that the IR algorithm derived from the hybrid discretization achieved high performance.
American Psychological Association (APA)
Kasai, Ryosuke& Yamaguchi, Yusaku& Kojima, Takeshi& Yoshinaga, Tetsuya. 2018. Tomographic Image Reconstruction Based on Minimization of Symmetrized Kullback-Leibler Divergence. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209512
Modern Language Association (MLA)
Kasai, Ryosuke…[et al.]. Tomographic Image Reconstruction Based on Minimization of Symmetrized Kullback-Leibler Divergence. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1209512
American Medical Association (AMA)
Kasai, Ryosuke& Yamaguchi, Yusaku& Kojima, Takeshi& Yoshinaga, Tetsuya. Tomographic Image Reconstruction Based on Minimization of Symmetrized Kullback-Leibler Divergence. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209512
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209512