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moreira o fractal analysis 2020

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Textbook in PDF format The book "Fractal Analysis" is a collection of contemporaneous articles aims to guide the reader through the world of fractals. A world of computer-generated self-similar patterns that can capture the intricacy of natural structure such as snowflakes, fern leaves, and tree branching. A world that is not only aesthetically pleasing but that is also at the basis of new technologies such as fractal antennas included in every mobile phone. The book is centred on simulation models as well as on the implementation of different methods of measuring the spatial and temporal characteristics of fractal patterns. For instance, box-counting based methods that can be used to determine the fractal dimension of the edges of the Saturn’s rings, forested landscapes, brain imaging data, and occurrence of words in text. It also includes an overview of fractal theory concepts, from self-similarity to the complexity of fractal networks. List of Contributors List of Abbreviations Preface Introduction References Definition of Fractal Topography to Essential Understanding of Scale-Invariance Abstract Introduction Methods and Discussion Conclusion Acknowledgements References Entropy and Fractal Antennas Abstract Introduction Concept of Entropy Remarks on Fractal Geometry Fractal Antennas Conclusions References Edges of Saturn’s Rings are Fractal Abstract Background Results And Discussion Conclusions Methods Acknowledgment References The Fractal Patterns of Words in a Text: A Method for Automatic Keyword Extraction Abstract Introduction Background And Related Works Methods Results Conclusion Appendix. Description of Related Methods Of Word Ranking Acknowledgments Author Contributions References Higuchi Dimension of Digital Images Abstract Introduction Methods Results Discussion Conclusion References Towards Video Quality Metrics Based on Colour Fractal Geometry Abstract Video Quality Metrics Fractal Analysis Colour Fractal Dimension And Lacunarity Approach Argumentation And Validation Experimental Results Comparison Subjective Tests Conclusions References Fractal Analysis of Time-Series Data Sets: Methods and Challenges Abstract Introduction Motivating The Fractal Dimension Time-Series Fractal Structures Fractal Analysis Of Time-Series Traces: Beyond Box-Counting Evaluating Fractal Analysis Techniques Relationship Between Fractal Dimension And Spectral Exponent Generating Fractional Brownian Motions And Characterizing Fractal Analysis Techniques Conclusions Acknowledgments References A Tutorial Introduction to Adaptive Fractal Analysis Abstract Introduction Applications Of Afa General Discussion Acknowledgments References Pitfalls in Fractal Time Series Analysis: fMRI BOLD as an Exemplary Case Abstract Introduction Concept Of Fractal Time Series Analyses Implementation Of Fractal Time Series Analyses Characterization Of Methods Pitfalls Demonstration Physiological Correlates Of Fractal Measures Of fMRI Bold Time Series Acknowledgments References Characterization of Forested Landscapes from Remotely Sensed Data Using Fractals and Spatial Autocorrelation Abstract Introduction Fractal Analysis And Spatial Autocorrelation Methods Case Study Image Characterization And Modeling System (ICAMS) Procedure Results Conclusions Acknowledgments References Application of Fractal Algorithms of Coastline Echo’s Generation on Marine Radar Simulator Abstract Background Literature Review Methods Result And Discussion Conclusion References Three-Dimensional Surface Parameters and Multi-Fractal Spectrum of Corroded Steel Abstract Introduction Materials And Methods Results And Discussion Conclusions References Application of the Fractal Geometry Theory on Fracture Network Simulation Abstract Introduction Fractal Fractures Based On The L-System Conclusions References Drained Rock Volume Around Hydraulic Fractures in Porous Media: Planar Fractures versus Fractal Networks Abstract Introduction Fractures And Fractal Theory Flow Models Results Discussion Conclusions References Multifractal Analysis of Weighted Networks by a Modified Sandbox Algorithm Abstract Introduction Results And Discussion High-Energy Theory Collaboration Network Conclusions Methods Acknowledgements References Reliable Multi-Fractal Characterization of Weighted Complex Networks: Algorithms and Implications Abstract Introduction Results Discussion Methods Acknowledgements References Index Back Cover

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