|Statement||[edited by] Eric W. Mitchell and Scott R. Murray|
|LC Classifications||QA614.86 .C585 2011|
|The Physical Object|
|LC Control Number||2011045795|
A tale of two fractals. This book is devoted to a phenomenon of fractal sets, or simply fractals. Topics covered includes: Sierpinski gasket, Harmonic functions on Sierpinski gasket, Applications of generalized numerical systems, Apollonian Gasket, Arithmetic properties of Apollonian gaskets, Geometric and group-theoretic approach. This book presents current research in the study of the classification and application of fractals. Topics discussed include the fractal model application for nanocomposite polymer/organoclay structures; generalised Rauzy fractals and quasiperiodic tilings; the fractal characterisation of zooplankton motion; fractal space-time theory; Higuchi's fractal dimension method in neurophysiological. “Cocoa-buttered girls were stretched out on the public beach in apparently random alignments, but maybe if a weather satellite zoomed in on one of those bodies and then zoomed back out, the photos would show the curving beach itself was another woman, a fractal image made up of . Scattering, Natural Surfaces, and Fractals provides a comprehensive overview of electromagnetic scattering from natural surfaces, ranging from the classical to the more recent (fractal) remote sensing applications become increasingly important, this text provides readers with a solid background in interpretation, classification and thematization of microwave images.
In 2 libraries. xii, p.: ill. ; 26 cm. Fractals. Handbook on the classification and application of fractals / Kyle J. Brennan editor. - Version details - Trove. Classification of fractals «on: Novem , AM» I've noticed that there seem to be two main types of fractals, those which are sort of raster based (based on pixels) and those which are constructed of geometric shapes (Koch curve). Application of Chaos and Fractals to Computer Vision This book provides a thorough investigation of the application of chaos theory and fractal analysis to computer vision. The field of chaos theory has been studied in dynamical physical systems, and has been very successful in providing computational models for very complex problems ranging Cited by: 1. Back to summary |Download this issue Fractals and their contribution to biology and medicine by G. A. Losa, Switzerland Gabriele A. LOSA, PhD Fellow Member of the European Academy of Sciences, Institute of Scientific Interdisciplinary Studies (ISIS), Locarno SWITZERLAND The term Fractal coined by Mandelbrot from the Latin adjective fractus (fragmented, irregular) derives from the [ ].
Stevens' book is a bit dated from a computer standpoint, but the algorithms are quite useful for those who want some introduction to fractals and how to generate and analyze them. Abstract. All fractals yield to a combined topological and measure-theoretical classification scheme proposed. The three criteria applied in succession are: (1) Reducibility, or not, to a product of a lower-dimensional fractal and a smooth manifold; (2) Connectedness, or not (line/web; islands); (3) Measure, within the fractal boundary, of the fractal points (positive; zero).Cited by: 6. Chapter 8. Fractals “Pathological monsters! cried the terrified mathematician Every one of them a splinter in my eye I hate the Peano Space and the Koch Curve I fear the Cantor Ternary Set The Sierpinski Gasket makes me wanna cry And a million miles away a butterfly flapped its wings On a cold November day a man named Benoit Mandelbrot was born” — Jonathan Coulton, lyrics from. creator brennan, kyle j subjects fractals.; mathematics - topology. contents. handbook on the classification and application of fractals ; handbook on the classification and application of fractals ; contents ; preface ; extended geometrical and generalized fractals, chaos and applications ; abstract ; 1.