Continuous-time image reconstruction for binary tomography

Persistent ID (NDL): info:ndljp/pid/9506173

Material type: 博士論文

Author: Yamaguchi, Yusakuほか

Publisher: Elsevier

Publication date: 2013-01-17

Material Format: Digital

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Name of awarding university/degree: 徳島大学,博士（保健学）

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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 to...

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Digital

Material Type: 博士論文
ISSN: 1007-5704
Title: Continuous-time image reconstruction for binary tomography
Volume: 18 8
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
Degree grantor/type: 徳島大学
Date Granted: 2015-03-23
Date Granted (W3CDTF): 2015-03-23
Dissertation Number: 甲第2818号
Degree Type: 博士（保健学）
Conferring No. (Dissertation): 甲第2818号
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.
DOI: info:doi/10.1016/j.cnsns.2013.01.001
https://doi.org/info:doi/10.1016/j.cnsns.2013.01.001
Persistent ID (NDL): info:ndljp/pid/9506173
https://dl.ndl.go.jp/pid/9506173
Collection: 障害者向け資料
Collection (Materials For Handicapped People:1): テキストデータ
Collection (particular): 国立国会図書館デジタルコレクション > デジタル化資料 > 博士論文
https://dl.ndl.go.jp/collections/A00014
Acquisition Basis: 博士論文（自動収集）
Date Accepted (W3CDTF): 2015-10-01T11:16:23+09:00
Format (IMT): application/pdf
Access Restrictions: 国立国会図書館内限定公開
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Availability of remote photoduplication service: 可
Periodical Title (URI): http://repo.lib.tokushima-u.ac.jp/109383
Data Provider (Database): 国立国会図書館 : 国立国会図書館デジタルコレクション
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