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Hypercomplex iterations : distance estimation and higher dimensional fractals

Author: Yumei Dang; Louis H Kauffman; Daniel J Sandin
Publisher: Singapore ; River Edge, NJ : World Scientific, ©2002.
Series: K & E series on knots and everything, v. 17.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

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  Read more...

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Genre/Form: Electronic books
Computer network resources
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Yumei Dang; Louis H Kauffman; Daniel J Sandin
OCLC Number: 567899054
Description: 1 online resource (xv, 144 pages) : illustrations (some color).
Contents: Contents: Introduction: Hypercomplex Iteractions in a Nutshell; Deterministic Fractals and Distance Estimation; Classical Analysis: Complex and Quaternionic: Distance Estimation in Complex Space; Quaternion Analysis; Quaternions and the Dirac String Trick; Hypercomplex Iteractions: Quaternion Mandelbrot Sets; Distance Estimation in Higher Dimensional Spaces; Inverse Iteraction, Ray Tracing and Virtual Reality: Inverse Iteraction: An Interactive Visualization; Ray Tracing Methods by Distance Estimation; Quaternion Deterministic Fractals in Virtual Reality.
Series Title: K & E series on knots and everything, v. 17.
Other Titles: Distance estimation and higher dimensional fractals
Responsibility: Yumei Dang, Louis H. Kauffman, Daniel Sandin.

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?The subject is very interesting and very modern. The book is very well written and contains various coloured fractal images.?

 
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