EBOOK

Nonlinear Smoothing and Multiresolution Analysis


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Juni 2005

Beschreibung

Beschreibung

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.

Inhaltsverzeichnis

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.

Innenansichten

EAN: 9783764372293
ISBN: 376437229X
Untertitel: 2005. Auflage. Book. Sprache: Englisch.
Verlag: Birkhäuser
Erscheinungsdatum: Juni 2005
Seitenanzahl: 156 Seiten
Format: gebunden
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