Fractal Geometry And Computer Graphics

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Fractal Geometry and Computer Graphics

Author : Jose L. Encarnacao
Publisher : Springer Science & Business Media
ISBN 13 : 3642956785
Total Pages : 271 pages
Book Rating : 4.6/5 (429 download)

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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 and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. 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 All contributions are original, unpublished papers.The presentations have been discussed in two working groups; the discussion results, together with actual trends and topics of future research, are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.

Chaos and Fractals

Author : C.A. Pickover
Publisher : Elsevier
ISBN 13 : 0080528864
Total Pages : 469 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Chaos and Fractals by : C.A. Pickover

Download or read book Chaos and Fractals written by C.A. Pickover and published by Elsevier. This book was released on 1998-08-03 with total page 469 pages. 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.

The Science of Fractal Images

Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 146123784X
Total Pages : 328 pages
Book Rating : 4.4/5 (612 download)

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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 and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, Heinz-Otto Peit gen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba sic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics.

Selected Readings on Telecommunications and Networking

Author : Gutierrez, Jairo
Publisher : IGI Global
ISBN 13 : 1605660957
Total Pages : 464 pages
Book Rating : 4.6/5 (56 download)

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Book Synopsis Selected Readings on Telecommunications and Networking by : Gutierrez, Jairo

Download or read book Selected Readings on Telecommunications and Networking written by Gutierrez, Jairo and published by IGI Global. This book was released on 2008-08-31 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book presents quality articles focused on key issues concerning the planning, design, maintenance, and management of telecommunications and networking technologies"--Provided by publisher.

An Integrated Introduction to Computer Graphics and Geometric Modeling

Author : Ronald Goldman
Publisher : CRC Press
ISBN 13 : 1439803358
Total Pages : 592 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis An Integrated Introduction to Computer Graphics and Geometric Modeling by : Ronald Goldman

Download or read book An Integrated Introduction to Computer Graphics and Geometric Modeling written by Ronald Goldman and published by CRC Press. This book was released on 2009-07-14 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking a novel, more appealing approach than current texts, An Integrated Introduction to Computer Graphics and Geometric Modeling focuses on graphics, modeling, and mathematical methods, including ray tracing, polygon shading, radiosity, fractals, freeform curves and surfaces, vector methods, and transformation techniques. The author begins with f

The Fractal Geometry of Nature

Author : Benoit Mandelbrot
Publisher : Echo Point Books & Media, LLC
ISBN 13 : 9781648370410
Total Pages : 0 pages
Book Rating : 4.3/5 (74 download)

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Book Synopsis The Fractal Geometry of Nature by : Benoit Mandelbrot

Download or read book The Fractal Geometry of Nature written by Benoit Mandelbrot and published by Echo Point Books & Media, LLC. This book was released on 2021-07-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.

Fractal Cities

Author : Michael Batty
Publisher :
ISBN 13 : 9780124555709
Total Pages : 394 pages
Book Rating : 4.5/5 (557 download)

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Book Synopsis Fractal Cities by : Michael Batty

Download or read book Fractal Cities written by Michael Batty and published by . This book was released on 1994-01-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal Cities is the pioneering study of the development and use of fractal geometry for understanding and planning the physical form of cities, showing how this geometry enables cities to be simulated throughcomputer graphics. The book explains how the structure of cities evolve in ways which at first sight may appear irregular, but when understood in terms of fractals reveal a complex and diverse underlying order. The book includes numerous illustrations and 16 pages full-color plates of stunning computer graphics, along with explanations of how to construct them. The authors provide an accessible and thought-provoking introduction to fractal geometry, as well as an exciting visual understanding of the formof cities. This approach, bolstered by new insights into the complexity of social systems, provides one of the best introductions to fractal geometry available for non-mathematicians and social scientists. Fractal Cities is useful as a textbook for courses on geographic information systems, urban geography, regional science, and fractal geometry. Planners and architects will find that many aspects of fractal geometry covered in this book are relevant to their own interests. Those involved in fractals and chaos, computer graphics, and systems theory will also find important methods and examples germane to their work. Michael Batty is Director of the National Center for Geographic Information and analysis in the State University of New York at Buffalo, and has worked in planning theory and urban modeling. Paul Longley is a lecturer in geography at the University of Bristol, and is involved in the development of geographic information systems in urban policy analysis. Richly illustrated, including 16 pages of full-color plates of brilliant computer graphics Provides an introduction to fractal geometry for the non-mathematician and social scientist Explains the influence of fractals on the evolution of the physical form of cities

Chaos and Fractals: The Mathematics Behind the Computer Graphics

Author : Robert L. Devaney
Publisher : American Mathematical Soc.
ISBN 13 : 0821801376
Total Pages : 176 pages
Book Rating : 4.8/5 (218 download)

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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 and published by American Mathematical Soc.. This book was released on 1989 with total page 176 pages. 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.

Turtle Geometry

Author : Harold Abelson
Publisher : MIT Press
ISBN 13 : 9780262510370
Total Pages : 502 pages
Book Rating : 4.5/5 (13 download)

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Book Synopsis Turtle Geometry by : Harold Abelson

Download or read book Turtle Geometry written by Harold Abelson and published by MIT Press. This book was released on 1986-07-09 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.

Lindenmayer Systems, Fractals, and Plants

Author : Przemyslaw Prusinkiewicz
Publisher : Springer Science & Business Media
ISBN 13 : 1475714289
Total Pages : 127 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Lindenmayer Systems, Fractals, and Plants by : Przemyslaw Prusinkiewicz

Download or read book Lindenmayer Systems, Fractals, and Plants written by Przemyslaw Prusinkiewicz and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1-systems are a mathematical formalism which was proposed by Aristid 1indenmayer in 1968 as a foundation for an axiomatic theory of develop ment. The notion promptly attracted the attention of computer scientists, who investigated 1-systems from the viewpoint of formal language theory. This theoretical line of research was pursued very actively in the seventies, resulting in over one thousand publications. A different research direction was taken in 1984 by Alvy Ray Smith, who proposed 1-systems as a tool for synthesizing realistic images of plants and pointed out the relationship between 1-systems and the concept of fractals introduced by Benoit Mandel brot. The work by Smith inspired our studies of the application of 1-systems to computer graphics. Originally, we were interested in two problems: • Can 1-systems be used as a realistic model of plant species found in nature? • Can 1-systems be applied to generate images of a wide class of fractals? It turned out that both questions had affirmative answers. Subsequently we found that 1-systems could be applied to other areas, such as the generation of tilings, reproduction of a geometric art form from East India, and synthesis of musical scores based on an interpretation of fractals. This book collects our results related to the graphical applications of- systems. It is a corrected version of the notes which we prepared for the ACM SIGGRAPH '88 course on fractals.

Computer Graphics for Java Programmers

Author : Leen Ammeraal
Publisher : Springer
ISBN 13 : 3319633570
Total Pages : 388 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Computer Graphics for Java Programmers by : Leen Ammeraal

Download or read book Computer Graphics for Java Programmers written by Leen Ammeraal and published by Springer. This book was released on 2017-10-12 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition covers fundamental concepts in creating and manipulating 2D and 3D graphical objects, including topics from classic graphics algorithms to color and shading models. It maintains the style of the two previous editions, teaching each graphics topic in a sequence of concepts, mathematics, algorithms, optimization techniques, and Java coding. Completely revised and updated according to years of classroom teaching, the third edition of this highly popular textbook contains a large number of ready-to-run Java programs and an algorithm animation and demonstration open-source software also in Java. It includes exercises and examples making it ideal for classroom use or self-study, and provides a perfect foundation for programming computer graphics using Java. Undergraduate and graduate students majoring specifically in computer science, computer engineering, electronic engineering, information systems, and related disciplines will use this textbook for their courses. Professionals and industrial practitioners who wish to learn and explore basic computer graphics techniques will also find this book a valuable resource.

African Fractals

Author : Ron Eglash
Publisher :
ISBN 13 : 9780813526140
Total Pages : 258 pages
Book Rating : 4.5/5 (261 download)

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Book Synopsis African Fractals by : Ron Eglash

Download or read book African Fractals written by Ron Eglash and published by . This book was released on 1999 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals are characterized by the repetition of similar patterns at ever-diminishing scales. Fractal geometry has emerged as one of the most exciting frontiers on the border between mathematics and information technology and can be seen in many of the swirling patterns produced by computer graphics. It has become a new tool for modeling in biology, geology, and other natural sciences. Anthropologists have observed that the patterns produced in different cultures can be characterized by specific design themes. In Europe and America, we often see cities laid out in a grid pattern of straight streets and right-angle corners. In contrast, traditional African settlements tend to use fractal structures-circles of circles of circular dwellings, rectangular walls enclosing ever-smaller rectangles, and streets in which broad avenues branch down to tiny footpaths with striking geometric repetition. These indigenous fractals are not limited to architecture; their recursive patterns echo throughout many disparate African designs and knowledge systems. Drawing on interviews with African designers, artists, and scientists, Ron Eglash investigates fractals in African architecture, traditional hairstyling, textiles, sculpture, painting, carving, metalwork, religion, games, practical craft, quantitative techniques, and symbolic systems. He also examines the political and social implications of the existence of African fractal geometry. His book makes a unique contribution to the study of mathematics, African culture, anthropology, and computer simulations.

Fractals and Chaos

Author : Benoit Mandelbrot
Publisher : Springer Science & Business Media
ISBN 13 : 1475740174
Total Pages : 321 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Fractals and Chaos by : Benoit Mandelbrot

Download or read book Fractals and Chaos written by Benoit Mandelbrot and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.

Graphics with Mathematica

Author : Chonat Getz
Publisher : Elsevier
ISBN 13 : 0080472877
Total Pages : 334 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Graphics with Mathematica by : Chonat Getz

Download or read book Graphics with Mathematica written by Chonat Getz and published by Elsevier. This book was released on 2004-09-29 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we generate graphic images using the software Mathematica thus providing a gentle and enjoyable introduction to this rather technical software and its graphic capabilities. The programs we use for generating these graphics are easily adaptable to many variations.These graphic images are enhanced by introducing a variety of different coloring techniques.Detailed instructions are given for the construction of some interesting 2D and 3D fractals using iterated functions systems as well as the construction of many different types of Julia sets and parameter sets such as the Mandelbrot set.The mathematics underlying the theory of Iterated function systems and Julia sets is given an intuitive explanation, and references are provided for more detailed study.·Brilliant Graphic images·Interesting Introduction to Mathematica for Beginners·Easy constructions ·A variety of Coloring Techniques·Programs Easily Adaptable to Many Variations·Constructions useful for Dynamics and Fractals Courses

Principles of Interactive Computer Graphics

Author : William M. Newman
Publisher :
ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.:/5 (489 download)

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Book Synopsis Principles of Interactive Computer Graphics by : William M. Newman

Download or read book Principles of Interactive Computer Graphics written by William M. Newman and published by . This book was released on 1989 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractals, Graphics, and Mathematics Education

Author : Michael Frame
Publisher : Cambridge University Press
ISBN 13 : 9780883851692
Total Pages : 232 pages
Book Rating : 4.8/5 (516 download)

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Book Synopsis Fractals, Graphics, and Mathematics Education by : Michael Frame

Download or read book Fractals, Graphics, and Mathematics Education written by Michael Frame and published by Cambridge University Press. This book was released on 2002-06-20 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

The Beauty of Fractals

Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 9783540158516
Total Pages : 226 pages
Book Rating : 4.1/5 (585 download)

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Book Synopsis The Beauty of Fractals by : Heinz-Otto Peitgen

Download or read book The Beauty of Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 1986-07 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.