Property of Equilibrium Existed in Continuous-Time Image Reconstruction System With Subsets for Medical Tomographic Image

カテゴリ: 部門大会

論文No: MC13-6

グループ名: 【C】平成21年電気学会電子・情報・システム部門大会講演論文集

発行日: 2009/09/03

タイトル(英語): Property of Equilibrium Existed in Continuous-Time Image Reconstruction System With Subsets for Medical Tomographic Image

著者名: アボウ アルオラオマル(徳島大学),藤本 憲市(徳島大学),吉永 哲哉(徳島大学)

著者名(英語): omar Abou Al-Ola (The University of Tokushima),ken'ichi Fujimoto(The University of Tokushima),tetsuya Yoshinaga(The University of Tokushima)

キーワード: 断層画像|画像再構成|不良設定逆問題|連続時間力学系|部分集合|tomographic image|image reconstruction|ill-posed inverse problem|continuous-time dynamical system|subsets

要約(日本語): In general, a problem for reconstructing tomographic images from a projection operator and projection data becomes ill-posed. To find an approximation of the true solution, such an ill-posed problem can be replaced with a minimization problem of an objective function. For such a minimization problem, the authors have proposed a continuous-time image reconstruction (CIR) system. In this paper, we proposed a modified CIR system with subsets of projections and projection data. Although the whole system becomes a non-autonomous periodical system for all the time, the individual system in each time interval without switching subsets is an autonomous system. As the first step of our study, the convergence and stability of an equilibrium in the autonomous systems were analyzed theoretically.

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