Includes bibliographical references (pages 131-133) and index.
CONTENTS NOTE
Text of Note
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.
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SUMMARY OR ABSTRACT
Text of Note
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.