Introduction to Continuous Wavelet Analysis --;Building Your Own Wavelets at Home --;Factoring Wavelet Transforms into Lifting Steps --;Spherical Wavelets: Efficiently Representing Functions on a Sphere --;Least-Squares Geopotential Approximation by Windowed Fourier Transform and Wavelet Transform.
This book contains state-of-the-art continuous wavelet analysis of one and more dimensional (geophysical) signals. It also contains an extension of standard wavelet approximation to the application of so-called second generation wavelets for efficient representation of signals at various scales even on the sphere and more complex geometries.