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portada Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (with CD Rom)
Type
Physical Book
Author
Publisher
Year
2002
Language
English
Pages
164
Format
Hardcover
Dimensions
23.6x16.2x1.7 cm
Weight
0.63 kg.
ISBN
9810232969
ISBN13
9789810232962
Categories

Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (with CD Rom)

Louis H. Kauffman (Author) · Yumei Dang (Author) · Daniel Sandin (Author) · World Scientific Publishing Company · Hardcover

Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (with CD Rom) - Dang, Yumei ; Kauffman, Louis H. ; Sandin, Daniel

New Book Imported to Taiwan
Delivery: 13 Nov - 30 Nov Shipping: 13 to 19 business days.
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NT$ 2,796

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Synopsis "Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (with CD Rom)"

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.

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