Noise Reduction by Wavelet Thresholding / by Maarten Jansen
(Lecture Notes in Statistics ; 161)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer New York : Imprint: Springer |
| 出版年 | 2001 |
| 本文言語 | 英語 |
| 大きさ | XXI, 196 p. 13 illus : online resource |
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| 内容注記 | 1. Introduction and overview 2. Wavelets and wavelet thresholding 3. The minimum mean squared error threshold 4. Estimating the minimum MSE threshold 5. Thresholding and GCV applicability in more realistic situations 6. Bayesian correction with geometrical priors for image noise reduction 7. Smoothing non-equidistantly spaced data using second generation wavelets and thresholding |
|---|---|
| 一般注記 | Wavelet methods have become a widely spread tool in signal and image process ing tasks. This book deals with statistical applications, especially wavelet based smoothing. The methods described in this text are examples of non-linear and non parametric curve fitting. The book aims to contribute to the field both among statis ticians and in the application oriented world (including but not limited to signals and images). Although it also contains extensive analyses of some existing methods, it has no intention whatsoever to be a complete overview of the field: the text would show too much bias towards my own algorithms. I rather present new material and own insights in the questions involved with wavelet based noise reduction. On the other hand, the presented material does cover a whole range of methodologies, and in that sense, the book may serve as an introduction into the domain of wavelet smoothing. Throughout the text, three main properties show up ever again: sparsity, locality and multiresolution. Nearly all wavelet based methods exploit at least one of these properties in some or the other way. These notes present research results of the Belgian Programme on Interuniver sity Poles of Attraction, initiated by the Belgian State, Prime Minister's Office for Science, Technology and Culture. The scientific responsibility rests with me. My research was financed by a grant (1995 - 1999) from the Flemish Institute for the Promotion of Scientific and Technological Research in the Industry (IWT) |
| 著者標目 | *Jansen, Maarten author SpringerLink (Online service) |
| 件 名 | LCSH:Engineering LCSH:Statistics LCSH:Applied mathematics LCSH:Engineering mathematics LCSH:Vibration LCSH:Dynamical systems LCSH:Dynamics FREE:Engineering FREE:Appl.Mathematics/Computational Methods of Engineering FREE:Vibration, Dynamical Systems, Control FREE:Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences |
| 分 類 | DC23:519 |
| 巻冊次 | ISBN:9781461301455 
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| ISBN | 9781461301455 |
| URL | http://dx.doi.org/10.1007/978-1-4613-0145-5 |
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