| Presentation | 2013-04-25 Binary Tomography Using a Nonlinear Switched System Yusaku YAMAGUCHI, Ken'ichi FUJIMOTO, Tetsuya YOSHINAGA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We have shown that the stability of an equilibrium in a nonlinear switched dynamical system can be theoretically proved using a common Lyapunov function based on a double Kullback-Leibler divergence. Because all solutions to the differential equation stay within the box-constrained subspace corresponding to the domain of the divergence, the Lyapunov function is well-defined with respect to its domain. We apply the initial value problem of the system to obtain a box-constrained optimization solution for computed tomographic image reconstruction. In this paper, we demonstrate that, by means of numerical experiments, the images with the proposed system are higher in quality than those made with the conventional method not only for the binary tomography, but also for the continuous tomography such that the maximum pixel value to be reconstructed is previously given. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | nonlinear switched system / binary tomography / CT image reconstruction / Kullback-Leibler divergence / Lyapunov function |
| Paper # | NLP2013-3 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2013/4/18(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) | Binary Tomography Using a Nonlinear Switched System |
| Sub Title (in English) | |
| Keyword(1) | nonlinear switched system |
| Keyword(2) | binary tomography |
| Keyword(3) | CT image reconstruction |
| Keyword(4) | Kullback-Leibler divergence |
| Keyword(5) | Lyapunov function |
| 1st Author's Name | Yusaku YAMAGUCHI |
| 1st Author's Affiliation | Graduate School of Health Sciences, The University of Tokushima() |
| 2nd Author's Name | Ken'ichi FUJIMOTO |
| 2nd Author's Affiliation | Institute of Health Biosciences, The University of Tokushima |
| 3rd Author's Name | Tetsuya YOSHINAGA |
| 3rd Author's Affiliation | Institute of Health Biosciences, The University of Tokushima |
| Date | 2013-04-25 |
| Paper # | NLP2013-3 |
| Volume (vol) | vol.113 |
| Number (no) | 15 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |