Description |
1 online resource (xiv, 137 pages) : illustrations |
Series |
International series of numerical mathematics ; v. 150 |
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International series of numerical mathematics ; v. 150.
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Contents |
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 |
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 |
Bibliography |
Includes bibliographical references (pages 131-133) and index |
Notes |
Print version record |
In |
Springer e-books |
Subject |
Nonlinear theories.
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Fourier analysis.
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Mathematics -- Computer simulation
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Fourier Analysis
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MATHEMATICS -- General.
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Fourier analysis.
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Mathematics -- Computer simulation.
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Nonlinear theories.
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Análisis de Fourier
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Teorías no lineales
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Fourier analysis
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Nonlinear theories
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Nichtlineare Theorie -- Harmonische Analyse -- Computersimulation.
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Harmonische Analyse -- Nichtlineare Theorie -- Computersimulation.
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Computersimulation -- Harmonische Analyse -- Nichtlineare Theorie.
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Form |
Electronic book
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LC no. |
2005048165 |
ISBN |
9783764373825 |
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3764373822 |
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376437229X |
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9783764372293 |
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6610346992 |
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9786610346998 |
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