Nonlinear Smoothing and Multiresolution Analysis
Author | : Carl Rohwer |
Publisher | : Birkhäuser |
Total Pages | : 137 |
Release | : 2009-09-03 |
ISBN-10 | : 376439062X |
ISBN-13 | : 9783764390624 |
Rating | : 4/5 (624 Downloads) |
Download or read book Nonlinear Smoothing and Multiresolution Analysis written by Carl Rohwer and published by Birkhäuser. This book was released on 2009-09-03 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.