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Fractal Geometry and Computer Graphics

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 785/5 ( reviews)

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Book Synopsis Fractal Geometry and Computer Graphics by : Jose L. Encarnacao

Download or read book Fractal Geometry and Computer Graphics written by Jose L. Encarnacao. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry has become popular in the last 15 years, its applications can be found in technology, science, or even arts. Fractal methods and formalism are seen today as a general, abstract, but nevertheless practical instrument for the description of nature in a wide sense. But it was Computer Graphics which made possible the increasing popularity of fractals several years ago, and long after their mathematical formulation. The two disciplines are tightly linked. The book contains the scientificcontributions presented in an international workshop in the "Computer Graphics Center" in Darmstadt, Germany. The target of the workshop was to present the wide spectrum of interrelationships and interactions between Fractal Geometry and Computer Graphics. The topics vary from fundamentals and new theoretical results to various applications and systems development. All contributions are original, unpublished papers.The presentations have been discussed in two working groups; the discussion results, together with actual trends and topics of future research, are reported in the last section. The topics of the book are divides into four sections: Fundamentals, Computer Graphics and Optical Simulation, Simulation of Natural Phenomena, Image Processing and Image Analysis.

The Science of Fractal Images

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Author :
Release : 1988
Genre : Fractals
Kind : eBook
Book Rating : 737/5 ( reviews)

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Book Synopsis The Science of Fractal Images by : Heinz-Otto Peitgen

Download or read book The Science of Fractal Images written by Heinz-Otto Peitgen. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt:

Chaos and Fractals

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Author :
Release : 1998
Genre : Computers
Kind : eBook
Book Rating : 021/5 ( reviews)

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Book Synopsis Chaos and Fractals by : Clifford A. Pickover

Download or read book Chaos and Fractals written by Clifford A. Pickover. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art. Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art. Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.

Computer Graphics Using Fractal Geometry

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Author :
Release : 1992
Genre : Computer graphics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Computer Graphics Using Fractal Geometry by : Eric Matthew Johnson

Download or read book Computer Graphics Using Fractal Geometry written by Eric Matthew Johnson. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:

Chaos and Fractals: The Mathematics Behind the Computer Graphics

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Author :
Release : 1989
Genre : Computers
Kind : eBook
Book Rating : 376/5 ( reviews)

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Book Synopsis Chaos and Fractals: The Mathematics Behind the Computer Graphics by : Robert L. Devaney

Download or read book Chaos and Fractals: The Mathematics Behind the Computer Graphics written by Robert L. Devaney. This book was released on 1989. Available in PDF, EPUB and Kindle. Book excerpt: The terms chaos and fractals have received widespread attention in recent years. The alluring computer graphics images associated with these terms have heightened interest among scientists in these ideas. This volume contains the introductory survey lectures delivered in the American Mathematical Society Short Course, Chaos and Fractals: The Mathematics Behind the Computer Graphics, on August 6-7, 1988, given in conjunction with the AMS Centennial Meeting in Providence, Rhode Island. In his overview, Robert L. Devaney introduces such key topics as hyperbolicity, the period doubling route to chaos, chaotic dynamics, symbolic dynamics and the horseshoe, and the appearance of fractals as the chaotic set for a dynamical system. Linda Keen and Bodil Branner discuss the Mandelbrot set and Julia sets associated to the complex quadratic family z -> z2 + c. Kathleen T. Alligood, James A. Yorke, and Philip J. Holmes discuss some of these topics in higher dimensional settings, including the Smale horseshoe and strange attractors. Jenny Harrison and Michael F. Barnsley give an overview of fractal geometry and its applications. -- from dust jacket.

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