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E-book
Author Rohwer, Carl (Carl H.)

Title Nonlinear smoothing and multiresolution analysis / Carl Rohwer
Published Basel ; Boston : Birkhäuser Verlag, ©2005

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Description 1 online resource (xiv, 137 pages) : illustrations
Series International series of numerical mathematics ; v. 150
International series of numerical mathematics ; v. 150.
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.
Fourier analysis.
Mathematics -- Computer simulation
Fourier Analysis
MATHEMATICS -- General.
Fourier analysis.
Mathematics -- Computer simulation.
Nonlinear theories.
Análisis de Fourier
Teorías no lineales
Fourier analysis
Nonlinear theories
Nichtlineare Theorie -- Harmonische Analyse -- Computersimulation.
Harmonische Analyse -- Nichtlineare Theorie -- Computersimulation.
Computersimulation -- Harmonische Analyse -- Nichtlineare Theorie.
Form Electronic book
LC no. 2005048165
ISBN 9783764373825
3764373822
376437229X
9783764372293
6610346992
9786610346998