Shi-Ching Wu
Fractal analyses of some natural systems
Wu, Shi-Ching
Authors
Contributors
Jack, 1955 Hardisty
Supervisor
David, lecturer in geography Taylor
Supervisor
Abstract
Fractal dimensions are estimated by the box-counting method for real world data sets and for mathematical models of three natural systems. 1 he natural systems are nearshore sea wave profiles, the topography of Shei-pa National Park in Taiwan, and the normalised difference vegetation index (NDV1) image of a fresh fern. I he mathematical models which represent the natural systems utilise multi-frequency sinusoids for the sea waves, a synthetic digital elevation model constructed by the mid-point displacement method for the topography and the Iterated Function System (IFS) codes for the fern leaf. The results show that similar fractal dimensions are obtained for discrete sub-sections of the real and synthetic one-dimensional wave data, whilst different fractal dimensions are obtained for discrete sections of the real and synthetic topographical and fern data. The similarities and differences are interpreted in the context of system evolution which was introduced by Mandelbrot (1977). Finally, the results for the fern images show that use of fractal dimensions can successfully separate void and filled elements of the two-dimensional series.
Citation
Wu, S.-C. (1999). Fractal analyses of some natural systems. (Thesis). University of Hull. Retrieved from https://hull-repository.worktribe.com/output/4224357
Thesis Type | Thesis |
---|---|
Deposit Date | Oct 12, 2022 |
Publicly Available Date | Feb 24, 2023 |
Keywords | Geography |
Public URL | https://hull-repository.worktribe.com/output/4224357 |
Additional Information | Department of Geography, The University of Hull |
Award Date | Jan 1, 1999 |
Files
Thesis
(20.6 Mb)
PDF
Copyright Statement
© 1999 Wu, Shi-Ching. All rights reserved. No part of this publication may be reproduced without the written permission of the copyright holder.
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