Nonlinear Smoothing and Multiresolution Analysis

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 anal...

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Bibliografiske detaljer
Hovedforfatter: Rohwer, Carl
Format: Livre numérique
Sprog:Anglais
Udgivet: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Udgivelse:1st ed. 2005.
Serier:International Series of Numerical Mathematics 150
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Edition sous un autre format:• Nonlinear Smoothing and Multiresolution Analysis, Texte imprimé, 9783764390624
• Nonlinear smoothing and multiresolution analysis, Carl Rohwer, Basel, Birkhäuser Verlag, 2005, 1 vol. (XIV- 137 p.), International series of numerical mathematics, 3-7643-7229-X
Beskrivelse
Summary: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.
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ISBN:9783764373825
ISSN:2296-6072
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