| ID | 109383 |
| Title Alternative | バイナリ・トモグラフィのための連続時間画像再構成
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| Author |
Yamaguchi, Yusaku
The University of Tokushima
Al-Ola, Omar M. Abou
Tanta University
Yoshinaga, Tetsuya
The University of Tokushima
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| Keywords | Binary tomography
Continuous-time image reconstruction
Differential equation
Stability of solution
Kullback-Leibler divergence
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| Content Type |
Thesis or Dissertation
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| Description | Binary tomography is the process of reconstructing a binary image from a finite number of projections. We present a novel method for solving binary tomographic inverse problems using a continuous-time image reconstruction (CIR) system described by nonlinear differential equations based on the minimization of a double Kullback- Leibler divergence. We prove theoretically that the divergence measure monotonically decreases in time. Moreover, we demonstrate numerically that the quality of the reconstructed images of the nonlinear CIR system is better than those from an iterative reconstruction method.
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| Journal Title |
Communications in Nonlinear Science and Numerical Simulation
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| ISSN | 10075704
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| NCID | AA11763280
AA11811598
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| Publisher | Elsevier
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| Volume | 18
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| Issue | 8
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| Start Page | 2081
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| End Page | 2087
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| Published Date | 2013-01-17
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| Remark | 内容要旨・審査要旨・論文本文の公開:
内容要旨 : LID201505251032.pdf 審査要旨 : LID201505251033.pdf 論文本文 : LID201509031001.pdf 本論文は, 著者Yusaku Yamaguchiの学位論文として提出され, 学位審査・授与の対象となっている。 |
| EDB ID | |
| DOI (Published Version) | |
| URL ( Publisher's Version ) | |
| FullText File | |
| language |
eng
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| TextVersion |
ETD
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| MEXT report number | 甲第2818号
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| Diploma Number | 甲保第15号
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| Granted Date | 2015-03-23
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| Degree Name |
Doctor of Health Science
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| Grantor |
Tokushima University
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| departments |
Medical Sciences
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