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Fractal Analysis [Hardback]

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  • Formāts: Hardback, 277 pages, height x width: 229x152 mm
  • Izdošanas datums: 30-Dec-2020
  • Izdevniecība: Arcler Education Inc
  • ISBN-10: 1774076993
  • ISBN-13: 9781774076996
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Fractal AnalysisPalielināt
  • Formāts: Hardback, 277 pages, height x width: 229x152 mm
  • Izdošanas datums: 30-Dec-2020
  • Izdevniecība: Arcler Education Inc
  • ISBN-10: 1774076993
  • ISBN-13: 9781774076996
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9781774076996.html
Keywords:
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
xv
List of Abbreviations
xxi
Preface xxiii
Chapter 1 Introduction
1(4)
References
3(2)
Chapter 2 Definition of Fractal Topography to Essential Understanding of Scale-Invariance
5(16)
Abstract
5(1)
Introduction
6(3)
Methods and Discussion
9(6)
Conclusion
15(2)
Acknowledgements
17(1)
References
18(3)
Chapter 3 Entropy and Fractal Antennas
21(24)
Abstract
21(1)
Introduction
22(1)
Concept of Entropy
23(4)
Remarks on Fractal Geometry
27(6)
Fractal Antennas
33(8)
Conclusions
41(1)
References
42(3)
Chapter 4 Edges of Saturn's Rings are Fractal
45(12)
Abstract
45(1)
Background
46(1)
Results And Discussion
47(4)
Conclusions
51(1)
Methods
51(3)
Acknowledgment
54(1)
References
55(2)
Chapter 5 The Fractal Patterns of Words in a Text: A Method for Automatic Keyword Extraction
57(24)
Abstract
57(1)
Introduction
58(2)
Background And Related Works
60(2)
Methods
62(3)
Results
65(11)
Conclusion
76(1)
Appendix Description of Related Methods Of Word Ranking
77(1)
Acknowledgments
78(1)
Author Contributions
78(1)
References
79(2)
Chapter 6 Higuchi Dimension of Digital Images
81(20)
Abstract
81(1)
Introduction
82(2)
Methods
84(5)
Results
89(5)
Discussion
94(3)
Conclusion
97(1)
References
98(3)
Chapter 7 Towards Video Quality Metrics Based on Colour Fractal Geometry
101(32)
Abstract
101(1)
Video Quality Metrics
102(4)
Fractal Analysis
106(1)
Colour Fractal Dimension And Lacunarity
107(2)
Approach Argumentation And Validation
109(6)
Experimental Results
115(6)
Comparison
121(2)
Subjective Tests
123(2)
Conclusions
125(2)
References
127(6)
Chapter 8 Fractal Analysis of Time-Series Data Sets: Methods and Challenges
133(36)
Abstract
133(1)
Introduction
134(1)
Motivating The Fractal Dimension
134(7)
Time-Series Fractal Structures
141(4)
Fractal Analysis Of Time-Series Traces: Beyond Box-Counting
145(6)
Evaluating Fractal Analysis Techniques
151(4)
Relationship Between Fractal Dimension And Spectral Exponent
155(2)
Generating Fractional Brownian Motions And Characterizing Fractal Analysis Techniques
157(7)
Conclusions
164(2)
Acknowledgments
166(1)
References
167(2)
Chapter 9 A Tutorial Introduction to Adaptive Fractal Analysis
169(24)
Abstract
169(1)
Introduction
170(8)
Applications Of Afa
178(8)
General Discussion
186(2)
Acknowledgments
188(1)
References
189(4)
Chapter 10 Pitfalls in Fractal Time Series Analysis: fMRI BOLD as an Exemplary Case
193(60)
Abstract
193(1)
Introduction
194(2)
Concept Of Fractal Time Series Analyses
196(6)
Implementation Of Fractal Time Series Analyses
202(9)
Characterization Of Methods
211(8)
Pitfalls
219(12)
Demonstration
231(8)
Physiological Correlates Of Fractal Measures Of fMRI Bold Time Series
239(2)
Acknowledgments
241(1)
References
242(11)
Chapter 11 Characterization of Forested Landscapes from Remotely Sensed Data Using Fractals and Spatial Autocorrelation
253(32)
Abstract
253(1)
Introduction
254(1)
Fractal Analysis And Spatial Autocorrelation Methods
255(4)
Case Study
259(2)
Image Characterization And Modeling System (ICAMS)
261(1)
Procedure
262(5)
Results
267(9)
Conclusions
276(1)
Acknowledgments
277(1)
References
278(7)
Chapter 12 Application of Fractal Algorithms of Coastline Echo's Generation on Marine Radar Simulator
285(22)
Abstract
285(1)
Background
286(1)
Literature Review
287(2)
Methods
289(9)
Result And Discussion
298(3)
Conclusion
301(2)
References
303(4)
Chapter 13 Three-Dimensional Surface Parameters and Multi-Fractal Spectrum of Corroded Steel
307(22)
Abstract
307(1)
Introduction
308(1)
Materials And Methods
309(4)
Results And Discussion
313(10)
Conclusions
323(2)
References
325(4)
Chapter 14 Application of the Fractal Geometry Theory on Fracture Network Simulation
329(16)
Abstract
329(1)
Introduction
330(2)
Fractal Fractures Based On The L-System
332(9)
Conclusions
341(1)
References
342(3)
Chapter 15 Drained Rock Volume Around Hydraulic Fractures in Porous Media: Planar Fractures versus Fractal Networks
345(42)
Abstract
345(1)
Introduction
346(6)
Fractures And Fractal Theory
352(5)
Flow Models
357(6)
Results
363(10)
Discussion
373(3)
Conclusions
376(3)
References
379(8)
Chapter 16 Multifractal Analysis of Weighted Networks by a Modified Sandbox Algorithm
387(20)
Abstract
387(1)
Introduction
388(2)
Results And Discussion
390(4)
High-Energy Theory Collaboration Network
394(3)
Conclusions
397(1)
Methods
397(4)
Acknowledgements
401(1)
References
402(5)
Chapter 17 Reliable Multi-Fractal Characterization of Weighted Complex Networks: Algorithms and Implications
407(48)
Abstract
407(1)
Introduction
408(5)
Results
413(28)
Discussion
441(4)
Methods
445(6)
Acknowledgements
451(1)
References
452(3)
Index 455