Second Generation Wavelets and Applications

Wavelets are mathematical functions that divide data into different frequency components, and then study each component with a resolution matched to its scale.

First generation wavelets have proved useful in many applications in engineering and computer science. However they cannot be used with non-linear, data-adaptive decompositions and non-equispaced data

Second Generation Wavelets and Applications introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics.

This book details the mathematical fundamentals of the lifting transform and illustrates the latest applications of the transform in signal and image processing, numerical analysis, scattering data smoothing and rendering of computer images.

List of contents

The Classical Wavelet Transform for Continuous-time and Discrete-time Signals.- Second-generation Wavelets.- Nonlinear and Adaptive Lifting.- Numerical Condition.- Applications of Nonlinear Lifting in Imaging.

Summary

Second Generation Wavelets and Applications introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics.

This book details the mathematical fundamentals of the lifting transform and illustrates the latest applications of the transform in signal and image processing, numerical analysis, scattering data smoothing and rendering of computer images.

Product details

• Authors: Maarten Jansen, Maarten H Jansen, Maarten H. Jansen, Patrick Oonincx, Patrick J Oonincx, Patrick J. Oonincx
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 08.06.2005
• EAN: 9781852339166
• ISBN: 978-1-85233-916-6
• No. of pages: 138
• Dimensions: 155 mm x 12 mm x 235 mm
• Weight: 344 g
• Illustrations: X, 138 p.
• Subjects: Natural sciences, medicine, IT, technology > Technology > General, dictionaries; B, Calculus, Function, rendering, engineering, Computer Graphics, Signal Processing, Numerical analysis, Computational Intelligence, Image processing, Wavelets, Wavelet