Wavelet Theory and Applications

Author: Cheng Lizhi
Publisher:
Publish Date: 2004-09-01
Features: This book is written based on the author's many years of teaching for graduate students in applied mathematics and computational mathematics, combined with his own research achievements. The book is divided into two parts: the first part covers the basic theory and methods of wavelets, including: an introduction to Fourier analysis, Haar wavelet analysis, multiresolution analysis and wavelet construction, multiband wavelets and the design of multiband wavelets, multiresolution analysis and discrete multiresolution wavelet transform, lifting-based wavelets and related integer discrete transforms; the second part covers the applications of wavelet transforms, including: the application of wavelets in image compression, the application of wavelet transforms in image denoising and image enhancement, ridgelet transform theory and its applications, the application of wavelet transforms in digital watermarking, wavelet-based methods for solving differential equations, and the solution of Toeplitz systems based on wavelets and multigrid methods. This book can be used as a reference and learning material for graduate students and researchers and educators in mathematics, information, and related fields.