Wavelets and Fractals in Earth System Sciences Book

Wavelets and Fractals in Earth System Sciences


  • Author : E. Chandrasekhar
  • Publisher : Taylor & Francis
  • Release Date : 2013-11-20
  • Genre: Science
  • Pages : 306
  • ISBN 10 : 9781466553590

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Wavelets and Fractals in Earth System Sciences Excerpt :

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.

Fractal Solutions for Understanding Complex Systems in Earth Sciences Book

Fractal Solutions for Understanding Complex Systems in Earth Sciences


  • Author : V.P. Dimri
  • Publisher : Springer
  • Release Date : 2015-11-21
  • Genre: Science
  • Pages : 152
  • ISBN 10 : 9783319246758

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Fractal Solutions for Understanding Complex Systems in Earth Sciences Excerpt :

This book deals with fractals in understanding problems encountered in earth science, and their solutions. It starts with an analysis of two classes of methods (homogeneous fractals random models, and homogeneous source distributions or “one point” distributions) widely diffused in the geophysical community, especially for studying potential fields and their related source distributions. Subsequently, the use of fractals in potential fields is described by scaling spectral methods for estimation of curie depth. The book also presents an update of the use of the fractal concepts in geological understanding of faults and their significance in geological modelling of hydrocarbon reservoirs. Geophysical well log data provide a unique description of the subsurface lithology; here, the Detrended Fluctuation Analysis technique is presented in case studies located off the west-coast of India. Another important topic is the fractal model of continuum percolation which quantitatively reproduce the flow path geometry by applying the Poiseuille’s equation. The pattern of fracture heterogeneity in reservoir scale of natural geological formations can be viewed as spatially distributed self-similar tree structures; here, the authors present simple analytical models based on the medium structural characteristics to explain the flow in natural fractures. The Fractal Differential Adjacent Segregation (F-DAS) is an unconventional approach for fractal dimension estimation using a box count method. The present analysis provides a better understanding of variability of the system (adsorbents – adsorbate interactions). Towards the end of book, the authors discuss multi-fractal scaling properties of seismograms in order to quantify the complexity associated with high-frequency seismic signals. Finally, the book presents a review on fractal methods applied to fire point processes and satellite time-continuous signals that are sensitive to fire occurrences.

Frontiers of Fractal Analysis Book

Frontiers of Fractal Analysis


  • Author : Santo Banerjee
  • Publisher : CRC Press
  • Release Date : 2022-07-07
  • Genre: Mathematics
  • Pages : 182
  • ISBN 10 : 9781000625875

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Frontiers of Fractal Analysis Excerpt :

The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry. However, nature is not restricted to such Euclidean objects which are only characterized typically by integer dimensions. Hence, the conventional geometric approach cannot meet the requirements of solving or analysing nonlinear problems which are related with natural phenomena, therefore, the fractal theory has been born, which aims to understand complexity and provide an innovative way to recognize irregularity and complex systems. Although the concepts of fractal geometry have found wide applications in many forefront areas of science, engineering and societal issues, they also have interesting implications of a more practical nature for the older classical areas of science. Since its discovery, there has been a surge of research activities in using this powerful concept in almost every branch of scientific disciplines to gain deep insights into many unresolved problems. This book includes eight chapters which focus on gathering cutting-edge research and proposing application of fractals features in both traditional scientific disciplines and in applied fields.

Machine Intelligence and Signal Analysis Book

Machine Intelligence and Signal Analysis


  • Author : M. Tanveer
  • Publisher : Springer
  • Release Date : 2018-08-07
  • Genre: Technology & Engineering
  • Pages : 767
  • ISBN 10 : 9789811309236

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Machine Intelligence and Signal Analysis Excerpt :

The book covers the most recent developments in machine learning, signal analysis, and their applications. It covers the topics of machine intelligence such as: deep learning, soft computing approaches, support vector machines (SVMs), least square SVMs (LSSVMs) and their variants; and covers the topics of signal analysis such as: biomedical signals including electroencephalogram (EEG), magnetoencephalography (MEG), electrocardiogram (ECG) and electromyogram (EMG) as well as other signals such as speech signals, communication signals, vibration signals, image, and video. Further, it analyzes normal and abnormal categories of real-world signals, for example normal and epileptic EEG signals using numerous classification techniques. The book is envisioned for researchers and graduate students in Computer Science and Engineering, Electrical Engineering, Applied Mathematics, and Biomedical Signal Processing.

Spatial Analysis for Radar Remote Sensing of Tropical Forests Book

Spatial Analysis for Radar Remote Sensing of Tropical Forests


  • Author : Gianfranco D. De Grandi
  • Publisher : CRC Press
  • Release Date : 2021-03-25
  • Genre: Technology & Engineering
  • Pages : 372
  • ISBN 10 : 9781000364781

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Spatial Analysis for Radar Remote Sensing of Tropical Forests Excerpt :

Spatial Analysis for Radar Remote Sensing of Tropical Forests is based on the authors’ extensive involvement in Synthetic Aperture Radar (SAR) mapping projects, targeting the health of an earth ecosystem with great relevance for climate change studies: the tropical forests. The subject is developed from a vantage point provided by analysis in a combined space, scale (frequency), time, wavelength, polarization domain. The combination of space and scale offers the capability to zoom in and out like a virtual microscope to the resolution in tune with the underlying ecological phenomenon. It also enables statistical measures (correlations) related to the forest spatial distribution in case of backscatter, or to the canopy height variations in case of interferometric observations. The time dimension brings into play measures of the ecosystem dynamics, such as the flooding extent in the swamp forests, deforestation or degradation events. Wavelength and polarization agility extend the abovementioned capabilities by radar observations that are in tune with particular characteristics of the forest and terrain layers. The book’s spotlight is on radar spatial random fields, these being populated by either backscatter observations or elevation data from interferometric SAR. The basic tenet here is that the spatial statistic of the fields measured by the wavelet variance (in stationary or non-stationary situations) carries fingerprints of the forest structure. Features: Uniquely focused on specific techniques that provide multi-resolution spatial and temporal analysis of forest structure characteristics and changes. Examines several large and important international remote sensing projects aimed at documenting entire tropical ecosystems. Provides novel wavelet methods for tropical forest structural measures. As the first book on this topic, this composite approach appeals to both students learning through important case studies and to researchers finding new ideas for future

Acoustic Analysis of Pathologies Book

Acoustic Analysis of Pathologies


  • Author : Amy Neustein
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2020-08-10
  • Genre: Technology & Engineering
  • Pages : 237
  • ISBN 10 : 9781501513138

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Acoustic Analysis of Pathologies Excerpt :

This book provides the reader with empirical findings on innovative signal processing approaches to detecting pathologies in infant cries, by comparing new technological approaches to standard ones. The contributors examine novel approaches to machine adaptation to dysarthric speech.

Fractal Behaviour of the Earth System Book

Fractal Behaviour of the Earth System


  • Author : V.P. Dimri
  • Publisher : Springer Science & Business Media
  • Release Date : 2005-12-27
  • Genre: Science
  • Pages : 208
  • ISBN 10 : 9783540265368

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Fractal Behaviour of the Earth System Excerpt :

It is with pleasure that I write the foreword to this excellent book. A wide range of observations in geology and solid-earth geophysics can be - plained in terms of fractal distributions. In this volume a collection of - pers considers the fractal behavior of the Earth's continental crust. The book begins with an excellent introductory chapter by the editor Dr. V.P. Dimri. Surface gravity anomalies are known to exhibit power-law spectral behavior under a wide range of conditions and scales. This is self-affine fractal behavior. Explanations of this behavior remain controversial. In chapter 2 V.P. Dimri and R.P. Srivastava model this behavior using Voronoi tessellations. Another approach to understanding the structure of the continental crust is to use electromagnetic induction experiments. Again the results often exhibit power law spectral behavior. In chapter 3 K. Bahr uses a fractal based random resister network model to explain the observations. Other examples of power-law spectral observations come from a wide range of well logs using various logging tools. In chapter 4 M. Fedi, D. Fiore, and M. La Manna utilize multifractal models to explain the behavior of well logs from the main KTB borehole in Germany. In chapter 5 V.V. Surkov and H. Tanaka model the electrokinetic currents that may be as- ciated with seismic electric signals using a fractal porous media. In chapter 6 M. Pervukhina, Y. Kuwahara, and H. Ito use fractal n- works to correlate the elastic and electrical properties of porous media.

Modern Engineering Mathematics Book

Modern Engineering Mathematics


  • Author : Abul Hasan Siddiqi
  • Publisher : CRC Press
  • Release Date : 2017-12-22
  • Genre: Mathematics
  • Pages : 826
  • ISBN 10 : 9781498712095

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Modern Engineering Mathematics Excerpt :

This book is a compendium of fundamental mathematical concepts, methods, models, and their wide range of applications in diverse fields of engineering. It comprises essentially a comprehensive and contemporary coverage of those areas of mathematics which provide foundation to electronic, electrical, communication, petroleum, chemical, civil, mechanical, biomedical, software, and financial engineering. It gives a fairly extensive treatment of some of the recent developments in mathematics which have found very significant applications to engineering problems.

Time Series Analysis in Seismology Book

Time Series Analysis in Seismology


  • Author : Alejandro Ramírez-Rojas
  • Publisher : Elsevier
  • Release Date : 2019-08-02
  • Genre: Science
  • Pages : 404
  • ISBN 10 : 9780128149027

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Time Series Analysis in Seismology Excerpt :

Time Series Analysis in Seismology: Practical Applications provides technical assistance and coverage of available methods to professionals working in the field of seismology. Beginning with a thorough review of open problems in geophysics, including tectonic plate dynamics, localization of solitons, and forecasting, the book goes on to describe the various types of time series or punctual processes obtained from those systems. Additionally, the book describes a variety of methods and techniques relating to seismology and includes a discussion of future developments and improvements. Time Series Analysis in Seismology offers a concise presentation of the most recent advances in the analysis of geophysical data, particularly with regard to seismology, making it a valuable tool for researchers and students working in seismology and geophysics. Presents the necessary tools for time series analysis as it relates to seismology in a compact and consistent manner Includes a discussion of technical resources that can be applied to time series data analysis across multiple disciplines Describes the methods and techniques available for solving problems related to the analysis of complex data sets Provides exercises at the end of each chapter to enhance comprehension

Optical Remote Sensing of Ocean Hydrodynamics Book

Optical Remote Sensing of Ocean Hydrodynamics


  • Author : Victor Raizer
  • Publisher : CRC Press
  • Release Date : 2019-03-04
  • Genre: Technology & Engineering
  • Pages : 280
  • ISBN 10 : 9781351119160

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Optical Remote Sensing of Ocean Hydrodynamics Excerpt :

Optical Remote Sensing is one of the main technologies used in sea surface monitoring. Optical Remote Sensing of Ocean Hydrodynamics investigates and demonstrates capabilities of optical remote sensing technology for enhanced observations and detection of ocean environments. It provides extensive knowledge of physical principles and capabilities of optical observations of the oceans at high spatial resolution, 1-4m, and on the observations of surface wave hydrodynamic processes. It also describes the implementation of spectral-statistical and fusion algorithms for analyses of multispectral optical databases and establishes physics-based criteria for detection of complex wave phenomena and hydrodynamic disturbances including assessment and management of optical databases. This book explains the physical principles of high-resolution optical imagery of the ocean surface, discusses for the first time the capabilities of observing hydrodynamic processes and events, and emphasizes the integration of optical measurements and enhanced data analysis. It also covers both the assessment and the interpretation of dynamic multispectral optical databases and includes applications for advanced studies and nonacoustic detection. This book is an invaluable resource for researches, industry professionals, engineers, and students working on cross-disciplinary problems in ocean hydrodynamics, optical remote sensing of the ocean and sea surface remote sensing. Readers in the fields of geosciences and remote sensing, applied physics, oceanography, satellite observation technology, and optical engineering will learn the theory and practice of optical interactions with the ocean.

Fractals and Dynamic Systems in Geoscience Book

Fractals and Dynamic Systems in Geoscience


  • Author : Tom G. Blenkinsop
  • Publisher : Birkhäuser
  • Release Date : 2012-12-06
  • Genre: Science
  • Pages : 192
  • ISBN 10 : 9783034884303

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Fractals and Dynamic Systems in Geoscience Excerpt :

Concepts and methods of fractal geometry penetrate various branches of human knowledge to an increasing degree. This tendency is particularly striking in the geosciences, because many processes occurring in and on the Earth result in time dependences and spatial patterns that have a fractal character. The contributions in this volume arose from the "3rd International Symposium on Fractals and Dynamic Systems in Geosciences", held at Stara Lesna, Slovakia in June, 1997. The volume contains new ideas and applications of fractal geometry in such diverse branches of geoscience as engineering geology, the physics of the lithosphere (including faulting, seismicity, and fluid flow), and climate behavior.

Fractals  Wavelets  and their Applications Book

Fractals Wavelets and their Applications


  • Author : Christoph Bandt
  • Publisher : Springer
  • Release Date : 2014-09-27
  • Genre: Mathematics
  • Pages : 508
  • ISBN 10 : 9783319081052

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Fractals Wavelets and their Applications Excerpt :

Fractals and wavelets are emerging areas of mathematics with many common factors which can be used to develop new technologies. This volume contains the selected contributions from the lectures and plenary and invited talks given at the International Workshop and Conference on Fractals and Wavelets held at Rajagiri School of Engineering and Technology, India from November 9-12, 2013. Written by experts, the contributions hope to inspire and motivate researchers working in this area. They provide more insight into the areas of fractals, self similarity, iterated function systems, wavelets and the applications of both fractals and wavelets. This volume will be useful for the beginners as well as experts in the fields of fractals and wavelets.

Application of Fractals in Earth Sciences Book

Application of Fractals in Earth Sciences


  • Author : V.P. Dimri
  • Publisher : CRC Press
  • Release Date : 2000-01-01
  • Genre: Science
  • Pages : 248
  • ISBN 10 : 9054102845

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Application of Fractals in Earth Sciences Excerpt :

This text examines the emerging field of fractals and its applications in earth sciences. Topics covered include: concepts of fractal and multifractal chaos; the application of fractals in geophysics, geology, climate studies, and earthquake seismology.

Encyclopedia of Solid Earth Geophysics Book
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Encyclopedia of Solid Earth Geophysics


  • Author : Harsh Gupta
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-06-29
  • Genre: Science
  • Pages : 1539
  • ISBN 10 : 9789048187010

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Encyclopedia of Solid Earth Geophysics Excerpt :

The past few decades have witnessed the growth of the Earth Sciences in the pursuit of knowledge and understanding of the planet that we live on. This development addresses the challenging endeavor to enrich human lives with the bounties of Nature as well as to preserve the planet for the generations to come. Solid Earth Geophysics aspires to define and quantify the internal structure and processes of the Earth in terms of the principles of physics and forms the intrinsic framework, which other allied disciplines utilize for more specific investigations. The first edition of the Encyclopedia of Solid Earth Geophysics was published in 1989 by Van Nostrand Reinhold publishing company. More than two decades later, this new volume, edited by Prof. Harsh K. Gupta, represents a thoroughly revised and expanded reference work. It brings together more than 200 articles covering established and new concepts of Geophysics across the various sub-disciplines such as Gravity, Geodesy, Geomagnetism, Seismology, Seismics, Deep Earth Processes, Plate Tectonics, Thermal Domains, Computational Methods, etc. in a systematic and consistent format and standard. It is an authoritative and current reference source with extraordinary width of scope. It draws its unique strength from the expert contributions of editors and authors across the globe. It is designed to serve as a valuable and cherished source of information for current and future generations of professionals.

Wavelets in Geophysics Book

Wavelets in Geophysics


  • Author : Efi Foufoula-Georgiou
  • Publisher : Elsevier
  • Release Date : 2014-06-28
  • Genre: Science
  • Pages : 373
  • ISBN 10 : 9780080520872

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Wavelets in Geophysics Excerpt :

Applications of wavelet analysis to the geophysical sciences grew from Jean Morlet's work on seismic signals in the 1980s. Used to detect signals against noise, wavelet analysis excels for transients or for spatiallylocalized phenomena. In this fourth volume in the renown WAVELET ANALYSIS AND ITS APPLICATIONS Series, Efi Foufoula-Georgiou and Praveen Kumar begin with a self-contained overview of the nature, power, and scope of wavelet transforms. The eleven originalpapers that follow in this edited treatise show how geophysical researchers are using wavelets to analyze such diverse phenomena as intermittent atmospheric turbulence, seafloor bathymetry, marine and other seismic data, and flow in aquifiers. Wavelets in Geophysics will make informative reading for geophysicists seeking an up-to-date account of how these tools are being used as well as for wavelet researchers searching for ideas for applications, or even new points of departure. Includes twelve original papers written by experts in the geophysical sciences Provides a self-contained overview of the nature, power, and scope of wavelet transforms Presents applications of wavelets to geophysical phenomena such as: The sharp events of seismic data, Long memory processes, such as fluctuation in the level of the Nile, A structure preserving decomposition of turbulence signals