Fractal Geometry
Mathematical Methods, Algorithms, Applications

J M Blackledge (Author), A K Evans (Author), M J Turner (Author)

9781904275008, Elsevier Science

Paperback / softback, published 1 September 2002

244 pages
23.3 x 15.6 x 1.6 cm, 0.38 kg

"A fascinatingly informative book, recommended to all applied mathematicians, showing the diverse uses of fractal techniques, covered in a basic way so that the non-specialist will be able to understand." --Mathematics Today

International authorities from Canada, Denmark, England, Germany, Russia and South Africa focus on research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis. They address the rich panoply of manifold applications of fractal geometry available for study and research in science and industry: i.e., remote sensing, mapping, texture creations, pattern recognition, image compression, aeromechanical systems, cryptography and financial analysis. Economically priced, this important and authoritative reference source for research and study cites over 230 references to the literature, copiously illustrated with over 320 diagrams and photographs. The book is published for The Institute of Mathematics and its Applications, co-sponsored with The Institute of Physics and The Institution of Electrical Engineers.

Chaotic dynamics in a simple aeromechanical system
Random walks with fluctuating step number, scale invariant behaviour, and self-organised-criticality
Fractional integrals, singular measures and epsilon functions
Diffusion on fractals: Efficient algorithms to compute the random walk dimension
Why study financial time series? Analysis of the limitations of fractal dimension texture segmentation for image Characterisation
Fractal basins of attraction in the inversion of gravity and magnetic data
Properties of fractal compression and their use in texture mapping
Fractal time and nested detectors
Deterministic chaos in digital cryptography
The making of fractal geometry in digital imaging.

Subject Areas: Geometry [PBM]