The subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety of applications with significant impact in several branches of earth system sciences.
Wavelets and Fractals in Earth System Sciences highlights the role of advanced data processing techniques in present-day research in various fields of earth system sciences. The book consists of ten chapters, providing a well-balanced blend of information about the role of wavelets, fractals, and multifractal analyses with the latest examples of their application in various research fields. By combining basics with advanced material, this book introduces concepts as needed and serves as an excellent introductory material and also as an advanced reference text for students and researchers.
Introduction to Wavelets and Fractals. Construction of Wavelets: Principles and Practices. The Genesis of Wavelet Transform Types and Applications. Multiscale Processing: A Boon for Self-Similar Data, Data Compression, Singularities, and Noise Removal. Fractals and Wavelets in Applied Geophysics with Some Examples. Role of Multifractal Studies in Earthquake Prediction. Geomagnetic Jerks: A Study Using Complex Wavelets. Application of Wavelet Transforms to Paleomonsoon Data from Speleothems. Unraveling Nonstationary Behavior in Rainfall Anomaly and Tree- Ring Data: A Wavelet Perspective. Phase Field Modeling of the Evolution of Solid-Solid and Solid-Liquid Boundaries: Fourier and Wavelet Implementations.