Carl Rohwer

(Author)

Nonlinear Smoothing and Multiresolution Analysis (2005)Hardcover - 2005, 16 June 2005

Nonlinear Smoothing and Multiresolution Analysis (2005)
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Description

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.

Product Details

Book Edition:
2005
Book Format:
Hardcover
Country of Origin:
US
Date Published:
16 June 2005
Dimensions:
23.39 x 15.6 x 1.12 cm
ISBN-10:
376437229X
ISBN-13:
9783764372293
Language:
English
Location:
Basel
Pages:
137
Publisher:
Weight:
399.16 gm