WAVELET METHODS IN MATHEMATICAL ANALYSIS AND ENGINEERING

This book gives a comprehensive overview of both the fundamentals of wavelet analysis and related tools and of the most active recent developments towards applications It offers a stateoftheart in several active areas of research where wavelet ideas or more generally multiresolution ideas have proved particularly effectiveThe main applications covered are in the numerical analysis of PDEs and signal and image processing Recently introduced techniques such as Empirical Mode Decomposition EMD and new trends in the recovery of missing data such as compressed sensing are also presented Applications range for the reconstruction of noisy or blurred images pattern and face recognition to nonlinear approximation in strongly anisotropic contexts and to the classification tools based on multifractal analysis