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OverviewThis work 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 generalize 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. The results of this book should be of interest to mathematicians and computer scientists interested in fractals and computer graphics. Full Product DetailsAuthor: Yumei Dang (Univ Of Illinois At Chicago, Usa) , Louis H Kauffman (Univ Of Illinois At Chicago, Usa) , Daniel Sandin (Univ Of Illinois At Chicago, Usa)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Volume: 17 Dimensions: Width: 16.20cm , Height: 1.70cm , Length: 23.00cm Weight: 0.630kg ISBN: 9789810232962ISBN 10: 9810232969 Pages: 164 Publication Date: 07 August 2002 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Awaiting stock  The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of ContentsReviews?The subject is very interesting and very modern. The book is very well written and contains various coloured fractal images.? Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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