Convergence of Iterative Method as Discretization of Continuous-Time Image Reconstruction System for Computed Tomography

• Tateishi Kiyoko

  Graduate School of Health Sciences, The University of Tokushima

• Fujimoto Ken'ichi

  Institute of Health Biosciences, The University of Tokushima

• Yoshinaga Tetsuya

  Institute of Health Biosciences, The University of Tokushima

Abstract

We present a nonnegatively constrained iterative method formulated by discretizing nonlinear differential equations in a continuous-time image reconstruction (CIR) system for computed tomography (CT). The method of using the discretization has a simple structure, and is based on the continuous approach for an ill-posed inverse problem; therefore, we expect that the method of using the discretization produces better-quality images quickly and easily against the conventional methods. We give proof of the convergence of a desired solution in the discretized CIR system, theoretically. The theory is illustrated through experiments with a simulated phantom and projection data acquired from an X-ray CT scanner.

Journal

• Journal of Signal Processing

  Journal of Signal Processing 16 (6), 617-621, 2012

  Research Institute of Signal Processing, Japan

Keywords

• computed tomography
• image reconstruction
• continuous approach
• discretization
• convergence of solution

Details

• CRID: 1390001204464877440
• NII Article ID: 130004457056
• NII Book ID: AA11147833
• DOI: 10.2299/jsp.16.617
• ISSN: 18801013
• ISSN: 13426230
• NDL BIB ID: 032212251
• Web Site: http://id.ndl.go.jp/bib/032212251
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I032212251
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed