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Although the applications of wavelets and fractals have increased in scientific and technological fields, including the earth sciences, there are few books devoted to the use of these techniques in the geosciences. This book highlights the role of advanced data processing techniques in current earth system science research. It covers applications of fractals, multifractals, and wavelets that address challenging problems in the earth sciences. It focuses on the continuous wavelet transform technique and uses examples to explain the differences between the wavelet method and other conventional signal processing techniques.
List of contents
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.
About the author
Dr. E. Chandrasekhar is currently an Associate Professor of Geophysics at Department of Earth Sciences, IIT Bombay, Powai, Mumbai, India. After completing M.Sc (Tech) in Geophysics from Osmania University, Hyderabad, India, he joined Indian Institute of Geomagnetism (IIG), in Mumbai, as a researcher. While serving at IIG, he completed his Ph.D in Physics from University of Mumbai in 1999. Later he accepted the prestigious JSPS postdoctoral fellowship and worked at Kyoto University, Japan, during 2000-2002. He was awarded the visiting scientist position by CNPq of Brazil, and worked at Observatorio Nacional, Rio de Janeiro, Brazil, during 2003-04, before joining IIT Bombay as a faculty in 2004. He was awarded the DAAD short term visiting fellowship to visit GFZ, Potsdam, Germany in 2010. His research interests are: Geophysical signal processing, Geoelectromagnetic induction studies, and Geomagnetism. More details about his publications, teaching, research guidance, etc. can be found at his web page: http://www.geos.iitb.ac.in/index.php/ecDr. V. P. Dimri is a Distinguished Scientist of Council of Scientific and Industrial Research (CSIR) working at National Geophysical Research Institute (NGRI), Hyderabad, India. Earlier, he served as the Director of the CSIR-NGRI from October 2001 to February 2010. Dr. Dimri has more than 125 research publications in referred journals. He is an author of the book entitled "Deconvolution and Inverse Theory" published by Elsevier, 1992 and co-authored other book "Fractal Models in Exploration Geophysics" published by Elsevier, 2012. Dr. Dimri has edited three more books on "Applications of Fractal in Earth Sciences" Balkema, USA, 2000 and "Fractal Behaviour in Earth System" Springer, 2005 and co-edited "Extreme Events and Natural Hazards: The Complexity Perspective", American Geophysical Union, monograph, 196, 2012. Dr. Dimri is the first Asian to get Lorenz Award Lecturer by Americ
Summary
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.
Additional text
"… 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 excellent introductory material and as an advanced reference text for students and researchers. The book is well written and covers a broad range."—The Leading Edge, September 2015
