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Fractal analysis has rapidly become an important field in materials science and engineering with broad applications to theoretical analysis and quantitative description of microstructures of materials. Fractal methods have thus far shown great potential in engineering applications in quantitative microscopic analysis of materials using commercial microscopes. This book attempts to introduce the fundamentals and the basis methods of fractal description of microstructures in combination with digital imaging and computer technologies. Basic concepts are given in the form of mathematical expressions. Detailed algorithms in practical applications are also provided. Fractal measurement, error analysis and fractal description of cluster growth, thin films and surfaces are emphasized in this book. Image-Based Fractal Description of Microstructures provides a comprehensive approach to materials characterization by fractal from theory to application.
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.
Nanocomposites are composite materials that have dimensions less than 100 nm in at least one of their phases, offering a higher surface-to-volume ratio. They are high-performance materials, exhibit unusual properties, and are considered as materials of the 21st century. In this book, experts from the field discuss the basic concepts, synthesis, characterization, properties, and applications of nanocomposites. The book is helpful for researchers, professional engineers, students, and those associated with a variety of disciplines of both academia and industry in seeking an understanding of what has been recently done in the field and the challenges related to it.
An Aspen Food Engineering Series Book. This new edition provides a comprehensive reference on food microstructure, emphasizing its interdisciplinary nature, rooted in the scientific principles of food materials science and physical chemistry. The book details the techniques available to study food microstructure, examines the microstructure of basic food components and its relation to quality, and explores how microstructure is affected by specific unit operations in food process engineering. Descriptions of a number of food-related applications provide a better understanding of the complexities of the microstructural approach to food processing. Color plates.
This important resource explores recent theoretical advances and modelling on fluids transport in fractal porous systems and presents a systematic understanding of the characterization of complex microstructure and transport mechanism in fractal porous media. Modelling of Flow and Transport in Fractal Porous Media shows how fractal theory and technology, combined with other modern experiments and numerical simulation methods, will assist researchers and practitioners in modelling of transport properties of fractal porous media, such as fluid flow, heat and mass transfer, mechanical characteristics, and electrical conductivity. - Presents the main methods and technologies for transport characterization of fractal porous media, including soils, reservoirs and artificial materials - Provides the most recent theoretical advances in modelling of fractal porous media, including gas and vapor transport in fibrous materials, nonlinear seepage flow in hydrocarbon reservoirs, mass transfer of porous nanofibers, and fractal mechanics of unsaturated soils - Includes multidisciplinary examples of applications of fractal theory to aid researchers and practitioners in characterizing various porous media structures
This book is a reflection of the modern scientific view of current and future problems and prospects of industry development: equipment and technologies. It combines the results of advanced researches of industry development: equipment and technologies in the field of various sciences – both technical and humanitarian, the synthesis of which allowed forming a holistic meta-scientific concept of industry development: equipment and technologies. The book consists of two parts. The first part reflects technical problems and ways of industry development: equipment and technologies. It examines the promising technologies for modern industrial development, the technogenic factors of neo-industrialization in the context of digital economy, strategic guidelines for the industry development: equipment and technologies from the standpoint of sustainable development, as well as integration mechanisms for the industry development: equipment and technologies, and scientific support for their activation. In the second part, organizational and managerial problems and ways of industry development: equipment and technologies are disclosed. The industry development: equipment and technologies were studied: a view from the standpoint of economics and management, legal barriers to the industry development: equipment: and technologies and the prospects for overcoming them, the impact of globalization on the industry development: equipment: and technologies and recommendations for managing internationalization, as well as social issues of industry development: equipment and technologies in the aspect of human resource’s training and management. The book combines the best works presented at the International Research and Practice Conference" Actual Problems and Ways of Industry Development: Equipment and Technologies", organized by the Komsomolsk-on-Amur State University and the Institute of Scientific Communications and held in Komsomolsk-on-Amur (Russia) September 28–October 1, 2020. The target audience of the book is academic scientists studying issues of industry development: equipment and technologies, as well as industrial enterprises and government regulators of industry development: equipment and technologies.
Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.
This book constitutes the refereed post-conference proceedings of the 22nd Iberoamerican Congress on Pattern Recognition, CIARP 2017, held in Valparaíso, Chile, in November 2017. The 87 papers presented were carefully reviewed and selected from 156 submissions. The papers feature research results in the areas of pattern recognition, image processing, computer vision, multimedia and related fields.
Fractals are infinite, complex patterns used in modeling physical and dynamic systems. Fractal theory research has increased across different fields of applications including engineering science, health science, and social science. Recent literature shows the vital role fractals play in digital image analysis, specifically in biomedical image processing. Fractal graphics is an interdisciplinary field that deals with how computers can be used to gain high-level understanding from digital images. Integrating artificial intelligence with fractal characteristics has resulted in new interdisciplinary research in the fields of pattern recognition and image processing analysis. Intelligent Fractal-Based Image Analysis: Application in Pattern Recognition and Machine Vision provides insights into the current strengths and weaknesses of different applications as well as research findings on fractal graphics in engineering and science applications. The book aims to improve the exchange of ideas and coherence between various core computing methods and highlight the relevance of related application areas for advanced as well as novice-user application. The book presents an in-depth look at core concepts, methodological aspects, and advanced feature opportunities, focusing on major real time applications in engineering science and health science. The book will appeal to researchers, data scientists, industry professionals, and graduate students in the fields of fractal graphics and its related applications. - Investigates advanced fractal theories spanning neural networks, fuzzy logic, machine learning, deep learning, and hybrid intelligent systems in solving pattern recognition problems - Explores the application of fractal theories to a wide range of medical image processing modalities - Presents case studies that illustrate the application and integration of fractal theories into intelligent computing in the resolution of important pattern recognition and machine vision problems