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2007 Fiscal Year Final Research Report Summary

Development of fast image reconstruction technique for CT image using active nonlinear dynamics of iterative method

Research Project

Project/Area Number 18560412
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Measurement engineering
Research InstitutionThe University of Tokushima

Principal Investigator

YOSHINAGA Tetsuya  The University of Tokushima, Faculty of Medicine, Professor (40220694)

Project Period (FY) 2006 – 2007
KeywordsCT / Image Reconstruction / Nonlinear Dynamical System / Bifurcation / Iterative Method / Medical Imaging Equipments
Research Abstract

Iterative reconstruction is a well known method of reconstructing computed tomography (CT) images, and it has advantages over the filtered back-projection procedure, which is commonly used for CT reconstruction in medical practices, in reducing artifacts. Because of the high quality of these reconstructions, a lot of research has been done on improving the iterative deblurring procedures. Of the iterative reconstruction algorithms, the power multiplicative algebraic reconstruction technique (PMART) has good properties for maximizing entropy ; however, it requires a large number of iterations to obtain the final reconstructed image for large data sets.
The final reconstructed image obtained by applying an iterative reconstruction algorithm for appropriate initial pixel values corresponds to a fixed or periodic point observed in the dynamical system describing the iterative reconstruction technique. Our bifurcation analysis of PMART with multiple pixels enabled us to observe various kinds … More of nonlinear phenomena such as the coexistence of a false image, the transition of stability of fixed points, and the generation of a two-periodic point, by changing one of the system parameters. The results also suggest appropriate parameter regions and phantom-image values within the PMART can operate normally.
To improve the speed of convergence, we propose an extended PMART, which is a dynamical class that includes the multiplicative algebraic reconstruction technique (MART) as well as PMART. The process of convergence for iterative points in the neighborhood of a reconstructed image can be reduced to the property of the characteristic multiplier of a stable fixed point observed in the dynamical system. To investigate the behavior of convergence, we present a computational method of obtaining parameter sets in which the given real or absolute values of the characteristic multiplier are equal. The advantage of the extended PMART is verified by comparing it with the standard MART using numerical experiments. Less

  • Research Products

    (7 results)

All 2008 2007

All Journal Article (4 results) (of which Peer Reviewed: 2 results) Presentation (2 results) Patent(Industrial Property Rights) (1 results)

  • [Journal Article] Bifurcation analysis of iterative image reconstruction method for computed tomography2008

    • Author(s)
      Tetsuya Yoshinaga
    • Journal Title

      International Journal of Bifurcation and Chaos 18(4)

      Pages: 1219-1225

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Bifurcation Analysis of Itera-tive Image Reconstruction Method for Computed Tomography2008

    • Author(s)
      Tetsuya, Yoshinaga
    • Journal Title

      International Journal of Bifurcation and Chaos Vol.18 No.4

      Pages: 1219-1225

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] 画像領域分割の改良を目的としたシナプス結合振動子ネットワークにみられる分岐2007

    • Author(s)
      藤本憲市
    • Journal Title

      電子情報通信学会論文誌(A) J90-A(11)

      Pages: 817-825

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Bifurcations in an Oscillator Net-work with Synaptic Coupling for Improving Image Segmentation2007

    • Author(s)
      Ken'ichi, Fujimoto
    • Journal Title

      IEICE TRANSACTIONS on Funda-mentals of Electronics, Communica-tions and Computer Sciences Vol.J90-A No.11

      Pages: 817-825

    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] Dynamical Property of Periodic Oscillations Observed in a Coupled Neural Oscillator Network for Image Segmentation2008

    • Author(s)
      Tetsuya, Yoshinaga
    • Organizer
      Proc. of International Conference on Bio-inspired Systems and Signal Pro-cessing, Vol.2, pp.141-146
    • Place of Presentation
      Funchal, Jan
    • Year and Date
      20080000
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] Dynamical property of periodic oscillations observed in a coupled neural oscillator network for image segmentation2008

    • Author(s)
      Tetsuya Yoshinaga
    • Organizer
      Internal Conference on Bio-inspired Systems and Signal Processing
    • Place of Presentation
      Funchal, Portugal
    • Year and Date
      2008-01-28
    • Description
      「研究成果報告書概要(和文)」より
  • [Patent(Industrial Property Rights)] 動的画像領域分割方法, 動的画像領域分割装置, および動的画像領域分割プログラム2008

    • Inventor(s)
      吉永 哲哉, 藤本 憲市, 武藏 美緒
    • Industrial Property Rights Holder
      吉永哲哉, 藤本憲市, 武藏美緒
    • Industrial Property Number
      特願2008-054151
    • Filing Date
      2008-03-04
    • Description
      「研究成果報告書概要(和文)」より

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Published: 2010-02-04  

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