2016 Fiscal Year Final Research Report
A theory and applications of multidimensional wavelets
| Project/Area Number |
26730099
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Perceptual information processing
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| Research Institution | Tokai University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | ウェーブレット / 画像処理 / データ解析 / 球面 |
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| Outline of Final Research Achievements |
In this study, we extended discrete wavelet transforms, which is one of the data analysis tools, to multidimension, and studied the effect on a range of applications. In two dimensions, we proposed a new class of nonseparable two-dimensional wavelets focused on image processing tasks such as feature extraction of images, image restoration, image compression and so on. Mathematical aspects of the proposed methods were studied, and its performance in the image processing applications was also evaluated. We also constructed spherical wavelets, and applied them to data analysis on a sphere.
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| Free Research Field |
応用数学，情報科学
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