ENGLISH

Nonlinear Smoothing and Multiresolution Analysis

By Carl Rohwer (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2005
ISBN
9783764372293, 376437229X
DOI
10.1007/3-7643-7382-2
LCC
QA427 .R64 2005
Open Library ID
OL21700534M
Language
english
Format
PDF
Filesize
962 kB (985437 bytes)
Series
International Series of Numerical Mathematics 150
Edition
1
Pages
137\144
Library
kolxoz
Time added
2010-02-18 13:16:04
Approximations and Expansions; Fourier Analysis; OImage and Speech Processing; Applications of Mathe

Description

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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