Continuous-time image reconstruction for binary tomography

• Material Type: 博士論文
• Title: Continuous-time image reconstruction for binary tomography
• Author/Editor: Yamaguchi, Yusaku; Fujimoto, Ken'ichi; Al-Ola, Omar M. Abou; Yoshinaga, Tetsuya
• Author Heading: Yamaguchi, Yusaku; Fujimoto, Ken'ichi; Al-Ola, Omar M. Abou; Yoshinaga, Tetsuya
• Publication, Distribution, etc.: Elsevier
• Publication Date: 2013-01-17
• Publication Date (W3CDTF): 2013-01-17
• Alternative Title: バイナリ・トモグラフィのための連続時間画像再構成
• Periodical title: Communications in Nonlinear Science and Numerical Simulation
• No. or year of volume/issue: 18 8
• Volume: 18
• Issue: 8
• Pages: 2081-2087
• ISSN (Periodical Title): ISSN : 1007-5704
• Degree grantor/type: 徳島大学
• Date Granted: 2015-03-23
• Dissertation Number: 甲第2818号
• Degree Type: 博士（保健学）
• Text Language Code: eng
• Subject Heading: Binary tomography; Continuous-time image reconstruction; Differential equation; Stability of solution; Kullback-Leibler divergence
• Target Audience: 一般
• Note (General): 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.
• Format (IMT): application/pdf
• Access Restrictions: インターネット公開
• Related Material (DOI): 10.1016/j.cnsns.2013.01.001
• Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）; https://irdb.nii.ac.jp
• Original Data Provider (Database): 徳島大学 : 徳島大学機関リポジトリ

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http://repo.lib.tokushima-u.ac.jp/files/public/10/109383/20170929143600793368/LID201505251032.pdf fulltext

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