ITOe | 2017 | ISBN: 9535132148 9789535132141 | 218 Pages | PDF | 35 MB
The applications to different areas of knowledge have been surprising. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book.
Tis book presents the use of fractal geometry, in particular, fractal analysis in two sciences: health sciences and social sciences and humanities.
Fractal analysis has entered a new era.
Part 1 is Health Science. In it, we present the latest advances in cardiovascular signs, kidney images to determine cancer growth, EEG signals, magnetoencephalography signals, and photosensitive epilepsy. We show how it is possible to produce ultrasonic lenses or even sound focusing.
In Part 2, we present the use of fractal analysis in social sciences and humanities. It includes anthropology, hierarchical scaling, human settlements, language, fractal dimension of different cultures, cultural traits, and Mesoamerican complexity.
And in Part 3, we present a few useful tools for fractal analysis, such as graphs and correlation, self-affine and self-similar graphs, and correlation function. It is impossible to picture today's research without fractal geometry.
1 Fractal Analysis of Cardiovascular Signals Empowering the Bioengineering Knowledge
2 Complex Systems with Self?Elimination of Dissipation with Implication in Bio?Structural Behavior Via Nondifferentiability
3 The Fractal Analysis of the Images and Signals in Medical Diagnostics
4 Polyadic Cantor Fractals: Characterization, Generation, and Application as Ultrasonic Lenses
5 Fractal to Non-Fractal Morphological Transitions in Stochastic Growth Processes
6 The Altepetl: Fractal Modeling of a Pre-Hispanic Human Agency
7 Fractal Analysis Based on Hierarchical Scaling in Complex Systems
8 Characterization of Cultural Traits by Means of Fractal Analysis
9 On Self?Affine and Self?Similar Graphs of Fractal Interpolation Functions Generated from Iterated Function Systems
10 Pair-Pair Angular Correlation Function