2004 Fiscal Year Final Research Report Summary
Microlocal filtering with wavelet frames multiresolution analysis
| Project/Area Number |
15540170
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Osaka Kyoiku University |
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Principal Investigator |
MORIMOTO Akira Osaka Kyoiku University, Faculty of Education, Assistant Professor, 教育学部, 助手 (50239688)
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| Co-Investigator(Kenkyū-buntansha) |
MANDAI Takeshi Osaka Electro-Communication University, Faculty of Engineering, Professor, 工学部, 教授 (10181843)
NAKAI Eiichi Osaka Kyoiku University, Faculty of Education, Associate Professor, 教育学部, 助教授 (60259900)
MACHIGASHIRA Yoshiro Osaka Kyoiku University, Faculty of Education, Associate Professor, 教育学部, 助教授 (00253584)
MORIOKA Tatsushi Osaka Kyoiku University, Faculty of Education, Associate Professor, 教育学部, 助教授 (80239631)
TAKEUCHI Jiro Science University of Tokyo, Faculty of Industrial Science and Technology, 基礎工学部, 教授 (80082402)
ASHINO Ryuichi Osaka Kyoiku University, Faculty of Education, Professor (80249490)
NAGASE Michihiro Osaka University, Graduate School of Science, Professor (70034733)
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| Project Period (FY) |
2003 – 2004
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| Keywords | frame / microlocal analysis / wavelet / filter / time frequency analysis / wavelet analysis / image processing / system identification |
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| Research Abstract |
It is shown that stationary wavelet transform commutes with time-invariant linear systems for every fixed scale. Using this fact, applications to system identifications are given.
Several image processing methods using SVD are investigated and hybrid methods of SVD and wavelets are proposed.
Pre-processing design of multiwavelet filters using neural networks for irregularly sampled data is given.
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