[Download] "Nonlinear Smoothing and Multiresolution Analysis" by Carl Rohwer ~ Book PDF Kindle ePub Free

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eBook details

• Title: Nonlinear Smoothing and Multiresolution Analysis
• Author : Carl Rohwer
• Release Date : January 17, 2006
• Genre: Mathematics,Books,Science & Nature,Professional & Technical,Engineering,
• Pages : * pages
• Size : 2851 KB

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.

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