rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Nonlinear Smoothing and Multiresolution Analysis
  name:
    name part: Rohwer, Carl.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2005
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 137 p. online resource.
  abstract: 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: 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.
  note: by Carl Rohwer.
  subject:
    topic: Mathematics
  subject:
    topic: Approximation theory
  subject:
    topic: Fourier analysis
  subject:
    topic: Operator theory
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Mathematics, general
  subject:
    topic: Approximations and Expansions
  subject:
    topic: Fourier Analysis
  subject:
    topic: Operator Theory
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  subject:
    topic: Signal, Image and Speech Processing
  classification: QA1-939
  classification: 510
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: International Series of Numerical Mathematics ; 150
  identifier: 9783764373825
  identifier: http://dx.doi.org/10.1007/3-7643-7382-2
  record info:
    record creation date: 100301
    record change date: 20151204164023.0
    record identifier: 978-3-7643-7382-5