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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
Author
Yamaguchi, Yusaku The University of Tokushima
Fujimoto, Ken'ichi The University of Tokushima KAKEN Search Researchers
Al-Ola, Omar M. Abou Tanta University
Keywords
Binary tomography
Continuous-time image reconstruction
Differential equation
Stability of solution
Kullback-Leibler divergence
Content Type
Thesis or Dissertation
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.
Journal Title
Communications in Nonlinear Science and Numerical Simulation
ISSN
10075704
NCID
AA11763280
AA11811598
Publisher
Elsevier
Volume
18
Issue
8
Start Page
2081
End Page
2087
Published Date
2013-01-17
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
TextVersion
ETD
MEXT report number
甲第2818号
Diploma Number
甲保第15号
Granted Date
2015-03-23
Degree Name
Doctor of Health Science
Grantor
Tokushima University
departments
Medical Sciences