ISBN: 9789810232962 - hypercomplex iterations: distance estimation and higher dimensional fractals (with cd rom): 17 (series on knots and everything) (13 resultados)

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Hardcover. Condición: new. Hardcover. 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 quatemionic 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. This 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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Hardcover. Condición: Brand New. hardback/cd-rom edition. 144 pages. 9.25x6.25x0.75 inches. In Stock.

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Condición: New. 2002. Illustrated. hardcover. . . . . .

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Hardcover. Condición: new. Hardcover. 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 quatemionic 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. This 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

hardcover. Condición: Sehr gut. 164 Seiten; 9789810232962.2 Gewicht in Gramm: 1.

Condición: gut. 2002. Hypercomplex Iterations, Distance Estimation and Higher Dimensional Fractals (K & E Series on Knots and Everything) In deutscher Sprache. pages.