Moreira Fractal Analysis

Erscheinungsjahr 2020
ISBN: 978-1-77407-900-3
Verlag: Arcler Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 485 Seiten, Electronic book text, Format (B × H): 152 mm x 229 mm

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.

Autoren/Hrsg.

Moreira, Olga

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

- 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

Über Autor(innen)

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.