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03303nam a22005415i 4500 |
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978-3-7643-7382-5 |
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DE-He213 |
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20151204164023.0 |
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cr nn 008mamaa |
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|a 9783764373825
|9 978-3-7643-7382-5
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|a 10.1007/3-7643-7382-2
|2 doi
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|a Rohwer, Carl.
|e author.
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|a Nonlinear Smoothing and Multiresolution Analysis
|h [electronic resource] /
|c by Carl Rohwer.
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|a Basel :
|b Birkhäuser Basel,
|c 2005.
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| 300 |
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|a XIV, 137 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
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|a text file
|b PDF
|2 rda
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| 490 |
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|a International Series of Numerical Mathematics ;
|v 150
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|a Operators on Sequences -- Basic Rank Selectors, Pulses and Impulses -- LULU-Smoothers, Signals and Ambiguity -- LULU-Intervals, Noise and Co-idempotence -- Smoothing and Approximation with Signals -- Variation Reduction and Shape Preservation -- Multiresolution Analysis of Sequences -- The Discrete Pulse Transform -- Fair Comparison with Linear Smoothers -- Interpretation and Future.
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|a 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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| 650 |
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|a Mathematics.
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| 650 |
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|a Approximation theory.
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| 650 |
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|a Fourier analysis.
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| 650 |
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|a Operator theory.
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| 650 |
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|a Applied mathematics.
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| 650 |
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|a Engineering mathematics.
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| 650 |
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|a Mathematics.
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|a Mathematics, general.
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|a Approximations and Expansions.
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| 650 |
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|a Fourier Analysis.
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| 650 |
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|a Operator Theory.
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| 650 |
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4 |
|a Appl.Mathematics/Computational Methods of Engineering.
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| 650 |
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4 |
|a Signal, Image and Speech Processing.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783764372293
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| 830 |
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|a International Series of Numerical Mathematics ;
|v 150
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| 856 |
4 |
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|u http://dx.doi.org/10.1007/3-7643-7382-2
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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