E-Book, Englisch, Band 150, 137 Seiten, eBook
Rohwer Nonlinear Smoothing and Multiresolution Analysis
2005
ISBN: 978-3-7643-7382-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 150, 137 Seiten, eBook
Reihe: International Series of Numerical Mathematics
ISBN: 978-3-7643-7382-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
