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Nonlinear Smoothing and Multiresolution Analysis
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 anal...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2005.
|
| Edición: | 1st ed. 2005. |
| Colección: | International Series of Numerical Mathematics,
150 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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|---|---|---|---|
| 001 | 978-3-7643-7382-5 | ||
| 003 | DE-He213 | ||
| 005 | 20220118131613.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2005 sz | s |||| 0|eng d | ||
| 020 | |a 9783764373825 |9 978-3-7643-7382-5 | ||
| 024 | 7 | |a 10.1007/3-7643-7382-2 |2 doi | |
| 050 | 4 | |a QA1-939 | |
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| 100 | 1 | |a Rohwer, Carl. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Nonlinear Smoothing and Multiresolution Analysis |h [electronic resource] / |c by Carl Rohwer. |
| 250 | |a 1st ed. 2005. | ||
| 264 | 1 | |a Basel : |b Birkhäuser Basel : |b Imprint: Birkhäuser, |c 2005. | |
| 300 | |a XIV, 137 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a International Series of Numerical Mathematics, |x 2296-6072 ; |v 150 | |
| 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. 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. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Approximation theory. | |
| 650 | 0 | |a Fourier analysis. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering-Data processing. | |
| 650 | 0 | |a Signal processing. | |
| 650 | 1 | 4 | |a Mathematics. |
| 650 | 2 | 4 | |a Approximations and Expansions. |
| 650 | 2 | 4 | |a Fourier Analysis. |
| 650 | 2 | 4 | |a Operator Theory. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
| 650 | 2 | 4 | |a Signal, Speech and Image Processing . |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783764390624 |
| 776 | 0 | 8 | |i Printed edition: |z 9783764372293 |
| 830 | 0 | |a International Series of Numerical Mathematics, |x 2296-6072 ; |v 150 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/3-7643-7382-2 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||