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简介： 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
state of the art in several active areas of research where
wavelet ideas, or more generally multiresolution ideas have
proved particularly effective.
The 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.
