| Presentation | 2006-01-24 Estimating Suitable Parameter of Dynamical System Defined by PMART with Eigenvalue Yoshihiro IMAKURA, Tetsushi UETA, Tetsuya YOSHINAGA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we investigate dynamical behavior of an iterative image reconstruction technique called PMART(Power Multiplicative Algebraic Reconstruction Technique) used for the X-ray computed tomography(CT). Therefore, we analyze the PMART updating scheme as a bifurcation problem of the dynamical system. We insist that above failure of the image reconstruction is caused by bifurcations of the system. We develop a method for solving this bifurcation problem, and as a result, we obtain bifurcation diagrams of the fixed or periodic points. These diagrams suggest us parameter regions and an initial value set in which the PMART can operate normally. Moreover, we obtain the value of parameter achieving the fastest convergence by using eigenvalue. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Iterative method / Image reconstruction technique / Bifurcation / Eigenvalue / PMART / X-ray CT |
| Paper # | NLP2005-106 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2006/1/17(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Estimating Suitable Parameter of Dynamical System Defined by PMART with Eigenvalue |
| Sub Title (in English) | |
| Keyword(1) | Iterative method |
| Keyword(2) | Image reconstruction technique |
| Keyword(3) | Bifurcation |
| Keyword(4) | Eigenvalue |
| Keyword(5) | PMART |
| Keyword(6) | X-ray CT |
| 1st Author's Name | Yoshihiro IMAKURA |
| 1st Author's Affiliation | Faculty of Engineering, Tokushima University() |
| 2nd Author's Name | Tetsushi UETA |
| 2nd Author's Affiliation | Faculty of Engineering, Tokushima University |
| 3rd Author's Name | Tetsuya YOSHINAGA |
| 3rd Author's Affiliation | Faculty of Medicine, Tokushima University |
| Date | 2006-01-24 |
| Paper # | NLP2005-106 |
| Volume (vol) | vol.105 |
| Number (no) | 547 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |