Nonlinear smoothing and multiresolution analysis
- 作者： Rohwer, Carl (Carl H.)
- 出版： Basel ;Boston : Birkhäuser Verlag
- 叢書名： International series of numerical mathematicsv. 150
- 主題： Nonlinear theories , Fourier analysis , Mathematics--Computer simulation. , Nichtlineare Theorie--Harmonische Analyse--Computersimulation. , Harmonische Analyse--Nichtlineare Theorie--Computersimulation. , Computersimulation--Harmonische Analyse--Nichtlineare Theorie.
- ISBN： 376437229X (hbk) 、 9783764372293 (hbk)
- 資料類型: 圖書
- 內容註: Includes bibliographical references (p. [131]-133) and index.
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讀者標籤：
- 系統號： 005014998 | 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.