Hypercomplex Iterations: Distance Estimation And Higher Dimensional Fractals (With Cd Rom)

Hypercomplex Iterations: Distance Estimation And Higher Dimensional Fractals (With Cd Rom)

EnglishEbook
Yumei Dang, Dang
World Scientific Publishing Company
EAN: 9789814496803
Available online
CZK 577
Common price CZK 641
Discount 10%
pc

Detailed information

This book is based on the authors' research on rendering images of higher dimensional fractals by a distance estimation technique. It is self-contained, giving a careful treatment of both the known techniques and the authors' new methods. The distance estimation technique was originally applied to Julia sets and the Mandelbrot set in the complex plane. It was justified, through the work of Douady and Hubbard, by deep results in complex analysis. In this book the authors generalise the distance estimation to quaternionic and other higher dimensional fractals, including fractals derived from iteration in the Cayley numbers (octonionic fractals). The generalization is justified by new geometric arguments that circumvent the need for complex analysis. This puts on a firm footing the authors' present work and the second author's earlier work with John Hart and Dan Sandin. The results of this book will be of great interest to mathematicians and computer scientists interested in fractals and computer graphics.
EAN 9789814496803
ISBN 9814496804
Binding Ebook
Publisher World Scientific Publishing Company
Publication date August 6, 2002
Pages 164
Language English
Country Singapore
Authors Daniel Sandin, Sandin; Louis H Kauffman, Kauffman; Yumei Dang, Dang
Series Series On Knots And Everything
Manufacturer information
The manufacturer's contact information is currently not available online, we are working intensively on the axle. If you need information, write us on helpdesk@megabooks.sk, we will be happy to provide it.