2009 Fiscal Year Final Research Report
Study of harmonic analysis and applications to multidimensional signal processing
| Project/Area Number |
19340029
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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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 | The University of Tokyo |
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Principal Investigator |
ARAI Hotoshi The University of Tokyo, 大学院・数理科学研究科, 教授 (10175953)
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| Co-Investigator(Kenkyū-buntansha) |
KANJIN Yuichi 金沢大学, 理工研究域機械工学系, 教授 (50091674)
HORA Akihito 名古屋大学, 大学院・多元数理科学研究科, 教授 (10212200)
TACHIZAWA Kazuya 北海道大学, 大学院・数学研究院, 准教授 (80227090)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 調和解析学 / フレームレット / ウェーブレット / 錯視 / 脳 / 信号処理 / フラクタル |
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| Research Abstract |
The main theme of this research project is harmonic analysis and its applications to multidimensional signal processing. I constructed new framelets (with S.Arai). Applying them, we succeeded in the discovery of illusory components in Arai's fractal spiral illusion, and in the removal of illusory components from the illusion (Arai and Arai (1), in press). This result was reported by Kakenhi News (2009, vol.1). Moreover, I obtained some results related to frame operators and multidimensional polyphase matrices.
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