Nonlinear Smoothing and Multiresolution Analysis
(Sprache: Englisch)
This monograph presents a new theory for analysis, comparisonand design of nonlinear smoothers, linking to establishedpractices. Although a part of mathematical morphology, the specialproperties yield many simple, powerful and illuminating resultsleading to...
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This monograph presents a new theory for analysis, comparisonand design of nonlinear smoothers, linking to establishedpractices. Although a part of mathematical morphology, the specialproperties yield many simple, powerful and illuminating resultsleading to a novel nonlinear multiresolution analysis with pulsesthat may be as natural to vision as wavelet analysis is toacoustics. Similar to median transforms, they have the advantagesof a supporting theory, computational simplicity, remarkableconsistency, full trend preservation, and a Parceval-typeidentity.Although the perspective is new and unfamiliar to most, thereader can verify all the ideas and results with simple simulationson a computer at each stage. The framework developed turns out tobe a part of mathematical morphology, but the additional specificstructures and properties yield a heuristic understanding that iseasy to absorb for practitioners in the fields like signal- andimage processing.The book targets mathematicians, scientists and engineers withinterest in concepts like trend, pulse, smoothness and resolutionin sequences.
Inhaltsverzeichnis zu „Nonlinear Smoothing and Multiresolution Analysis “
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.
Bibliographische Angaben
- Autor: Carl Rohwer
- 2005, 2005, 137 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 376437229X
- ISBN-13: 9783764372293
- Erscheinungsdatum: 16.06.2005
Sprache:
Englisch
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