Nonlinear Smoothing and Multiresolution Analysis [electronic resource]
- 作者： Rohwer, Carl.
- 其他作者：
- 出版： Basel : Birkhauser Verlag Basel Boston Berlin
- 叢書名： International series of numerical mathematics150
- 主題： Nonlinear theories , Fourier analysis , Mathematics--Computer simulation. , Mathematics , Signal, Image and Speech Processing. , Appl.Mathematics/Computational Methods of Engineering. , Applications of Mathematics. , Approximations and Expansions. , Fourier analysis , Operator theory
- ISBN： 9783764373825 (electronic bk.) 、 9783764372293 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005017660 | 機讀編目格式
館藏資訊
This monograph presents a new theory for analysis, comparison and design of nonlinear smoothers, linking to established practices. Although a part of mathematical morphology, the special properties yield many simple, powerful and illuminating results leading to a novel nonlinear multiresolution analysis with pulses that may be as natural to vision as wavelet analysis is to acoustics. Similar to median transforms, they have the advantages of a supporting theory, computational simplicity, remarkable consistency, full trend preservation, and a Parceval-type identity. Although the perspective is new and unfamiliar to most, the reader can verify all the ideas and results with simple simulations on a computer at each stage. The framework developed turns out to be a part of mathematical morphology, but the additional specific structures and properties yield a heuristic understanding that is easy to absorb for practitioners in the fields like signal- and image processing. The book targets mathematicians, scientists and engineers with interest in concepts like trend, pulse, smoothness and resolution in sequences.