Tomographic Inverse Problem with Estimating Missing Projections

• Material Type: 博士論文
• ISSN: 1024-123X
• Title: Tomographic Inverse Problem with Estimating Missing Projections
• Volume: 2019
• Author/Editor: Kimura, Masashi; Yamaguchi, Yusaku; Abou Al-Ola, Omar M.; Yoshinaga, Tetsuya
• Author Heading: Kimura, Masashi; Yamaguchi, Yusaku; Abou Al-Ola, Omar M.; Yoshinaga, Tetsuya
• Publication, Distribution, etc.: Hindawi
• Publication Date: 2019-03-13
• Publication Date (W3CDTF): 2019-03-13
• Alternative Title: 欠損した投影の推定を伴う断層逆問題
• Periodical title: Mathematical Problems in Engineering
• Degree grantor/type: 徳島大学
• Date Granted: 2020-03-23
• Date Granted (W3CDTF): 2020-03-23
• Dissertation Number: 甲第3422号
• Degree Type: 博士（保健学）
• Conferring No. (Dissertation): 甲第3422号
• Text Language Code: eng
• Subject Heading: Inverse Problem; Nonlinear Dynamical System; Image Reconstruction; Metal Artifact Reduction
• Target Audience: 一般
• Note (General): Image reconstruction in computed tomography can be treated as an inverse problem, namely, obtaining pixel values of a tomographic image from measured projections. However, a seriously degraded image with artifacts is produced when a certain part of the projections is inaccurate or missing. A novel method for simultaneously obtaining a reconstructed image and an estimated projection by solving an initial-value problem of differential equations is proposed. A system of differential equations is constructed on the basis of optimizing a cost function of unknown variables for an image and a projection. Three systems described by nonlinear differential equations are constructed, and the stability of a set of equilibria corresponding to an optimized solution for each system is proved by using the Lyapunov stability theorem. To validate the theoretical result given by the proposed method, metal artifact reduction was numerically performed.
• DOI: info:doi/10.1155/2019/7932318; https://doi.org/info:doi/10.1155/2019/7932318
• Persistent ID (NDL): info:ndljp/pid/11498369; https://dl.ndl.go.jp/pid/11498369
• 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): 2020-06-07T00:39:19+09:00
• Format (IMT): application/pdf
• Access Restrictions: 国立国会図書館内限定公開
• Service for the Digitized Contents Transmission Service: 図書館・個人送信対象外
• Availability of remote photoduplication service: 可
• Periodical Title (URI): https://repo.lib.tokushima-u.ac.jp/114384
• 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; https://dl.ndl.go.jp