| Document Type
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BL
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| Record Number
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956085
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| Doc. No
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b710455
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| Main Entry
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Rohwer, Carl, (Carl H.)
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| Title & Author
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Nonlinear smoothing and multiresolution analysis /\ Carl Rohwer.
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| Publication Statement
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Basel ;Boston :: Birkhäuser Verlag,, ©2005.
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| Series Statement
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International series of numerical mathematics ;; v. 150
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| Page. NO
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1 online resource (xiv, 137 pages) :: illustrations
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| ISBN
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376437229X
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: 3764373822
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: 6610346992
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: 9783764372293
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: 9783764373825
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: 9786610346998
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| Bibliographies/Indexes
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Includes bibliographical references (pages 131-133) and index.
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| Contents
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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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| Abstract
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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.
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| Subject
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Fourier analysis.
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Mathematics-- Computer simulation.
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Nonlinear theories.
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Computersimulation-- Harmonische Analyse-- Nichtlineare Theorie.
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Fourier analysis.
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Harmonische Analyse-- Nichtlineare Theorie-- Computersimulation.
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MATHEMATICS-- General.
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| Subject
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Nichtlineare Theorie-- Harmonische Analyse-- Computersimulation.
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| Subject
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Nonlinear theories.
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Fourier analysis.
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| Subject
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Mathematics-- Computer simulation.
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| Subject
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Nonlinear theories.
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| Dewey Classification
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511/.8
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| LC Classification
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QA427.R64 2005eb
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| NLM classification
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N94clc
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