Nonlinear smoothing and multiresolution analysis /

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Bibliographic Details
Author / Creator:Rohwer, Carl (Carl H.)
Imprint:Basel ; Boston : Birkhäuser Verlag, c2005.
Description:1 online resource (xiv, 137 p.) : ill.
Language:English
Series:International series of numerical mathematics ; v. 150
International series of numerical mathematics ; v. 150.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8877060
Hidden Bibliographic Details
ISBN:9783764373825
3764373822
9786610346998
6610346992
376437229X (Cloth)
9783764372293 (Cloth)
Notes:Includes bibliographical references (p. [131]-133) and index.
Description based on print version record.
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.
Other form:Print version: Rohwer, Carl (Carl H.). Nonlinear smoothing and multiresolution analysis. Basel ; Boston : Birkhäuser Verlag, c2005 376437229X 9783764372293

MARC

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504 |a Includes bibliographical references (p. [131]-133) and index. 
505 0 |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. 
520 |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. 
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