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E-raamat: Fractal Analysis

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  • Formaat: 485 pages
  • Ilmumisaeg: 30-Jan-2021
  • Kirjastus: Arcler Press
  • ISBN-13: 9781774079003
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Fractal AnalysisSuurem pilt
  • Formaat: 485 pages
  • Ilmumisaeg: 30-Jan-2021
  • Kirjastus: Arcler Press
  • ISBN-13: 9781774079003
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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.
Chapter 1: Introductory
Chapter
Chapter 2: Definition of Fractal Topography to Essential Understanding of
Scale-Invariance
Chapter 3: Entropy and Fractal Antennas
Chapter 4: Edges of Saturn's Rings are Fractal
Chapter 5: The Fractal Patterns of Words in a Text: A Method for Automatic
Keyword Extraction
Chapter 6: Higuchi Dimension of Digital Images
Chapter 7: Towards Video Quality Metrics Based on Colour Fractal Geometry
Chapter 8: Fractal Analysis of Time-Series Data Sets: Methods and Challenges
Chapter-9: A Tutorial Introduction to Adaptive Fractal Analysis
Chapter-10: Pitfalls in Fractal Time Series Analysis: fMRI BOLD as an
Exemplary Case
Chapter-11: Characterization of Forested Landscapes from Remotely Sensed Data
Using Fractals and Spatial Autocorrelation
Chapter 12: Application of Fractal Algorithms of Coastline Echo's Generation
on Marine Radar Simulator
Chapter 13: Three-Dimensional Surface Parameters and Multi-Fractal Spectrum
of Corroded Steel
Chapter 14: Application of the Fractal Geometry Theory on Fracture Network
Simulation
Chapter 15: Drained Rock Volume Around Hydraulic Fractures in Porous Media:
Planar Fractures versus Fractal Networks
Chapter 16: Multifractal Analysis of Weighted Networks by a Modified Sandbox
Algorithm
Chapter 17: Reliable Multi-Fractal Characterization of Weighted Complex
Networks: Algorithms and Implications
Olga Moreira is a Ph.D. in Astrophysics and B.Sc. in Physics and Applied Mathematics. She is an experienced technical writer and researcher which former fellowships include postgraduate positions at two of the most renown European institutions in the fields of Astrophysics and Space Science (the European Southern Observatory, and the European Space Agency). Presently, she is an independent scientist working on projects involving machine learning and neural networks research as well as peer-reviewing and edition of academic books.
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