International Series of Numerical Mathematics
cover

Nonlinear Smoothing and Multiresolution Analysis

Authors: Rohwer, Carl

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About this book

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.

Table of contents (10 chapters)

Table of contents (10 chapters)
  • Operators on Sequences

    Pages 1-7

  • Basic Rank Selectors, Pulses and Impulses

    Pages 9-19

  • LULU-Smoothers, Signals and Ambiguity

    Pages 21-30

  • LULU-Intervals, Noise and Co-idempotence

    Pages 31-41

  • Smoothing and Approximation with Signals

    Pages 43-50

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-7643-7382-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA in USD
  • ISBN 978-3-7643-7229-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Smoothing and Multiresolution Analysis
Authors
Series Title
International Series of Numerical Mathematics
Series Volume
150
Copyright
2005
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7382-5
DOI
10.1007/3-7643-7382-2
Hardcover ISBN
978-3-7643-7229-3
Series ISSN
0373-3149
Edition Number
1
Number of Pages
XIV, 137
Topics