The Science Of Fractal Images

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The Science of Fractal Images

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

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.

The Beauty of Fractals

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Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 3642617174
Total Pages : 214 pages
Book Rating : 4.6/5 (426 download)

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 2013-12-01 with total page 214 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.

The Science of Fractal Images

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Author : Heinz-Otto Peitgen
Publisher :
ISBN 13 : 9781461237853
Total Pages : 332 pages
Book Rating : 4.2/5 (378 download)

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 . This book was released on 1988-07-19 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractal Imaging

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Author : Ning Lu
Publisher : Springer Science & Business
ISBN 13 : 9780124580107
Total Pages : 458 pages
Book Rating : 4.5/5 (81 download)

Book Synopsis Fractal Imaging by : Ning Lu

Download or read book Fractal Imaging written by Ning Lu and published by Springer Science & Business. This book was released on 1997 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic rules govern our universe, and an understanding of these rules makes a wide array of subjects crystal-clear. Fractal is such a rule: it completely describes the geometry of a leaf in 24 numbers. This book tells how to apply this fractal rule to photographic images.

Chaos and Fractals

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Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 1475747403
Total Pages : 1013 pages
Book Rating : 4.4/5 (757 download)

Book Synopsis Chaos and Fractals by : Heinz-Otto Peitgen

Download or read book Chaos and Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 1013 pages. Available in PDF, EPUB and Kindle. Book excerpt: For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.

Fractals

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Author : Hendrik Adolf Lauwerier
Publisher :
ISBN 13 : 9780691024455
Total Pages : 209 pages
Book Rating : 4.0/5 (244 download)

Book Synopsis Fractals by : Hendrik Adolf Lauwerier

Download or read book Fractals written by Hendrik Adolf Lauwerier and published by . This book was released on 1991 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals are shapes in which an identical motif repeats itself on an ever diminishing scale. A coastline, for instance, is a fractal, with each bay or headland having its own smaller bays and headlands--as is a tree with a trunk that separates into two smaller side branches, which in their turn separate into side branches that are smaller still. No longer mathematical curiosities, fractals are now a vital subject of mathematical study, practical application, and popular interest. For readers interested in graphic design, computers, and science and mathematics in general, Hans Lauwerier provides an accessible introduction to fractals that makes only modest use of mathematical techniques. Lauwerier calls this volume a "book to work with." Readers with access to microcomputers can design new figures, as well as re-create famous examples. They can start with the final chapter, try out one of the programs described there (preferably in a compiled version such as TURBO BASIC), and consult the earlier chapters for whatever is needed to understand the fractals produced in this way. The first chapter, which builds on the relationship of binary number systems to the "tree fractal" described above, is the best place to start if one has no computer. There will be much to enjoy on the way, including the beautiful color illustrations.

The Fractal Geometry of Nature

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

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 Geometry in Digital Imaging

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Author : Martin J. Turner
Publisher : Academic Press
ISBN 13 : 9780127039701
Total Pages : 352 pages
Book Rating : 4.0/5 (397 download)

Book Synopsis Fractal Geometry in Digital Imaging by : Martin J. Turner

Download or read book Fractal Geometry in Digital Imaging written by Martin J. Turner and published by Academic Press. This book was released on 1998-06-23 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the theory and application of fractal geometry in digital imaging. Throughout the book, a series of new approaches to defining fractals are illustrated, such as the analysis of the fractal power spectrum and the use of fractional differentials. Several new algorithms and applications are also discussed and applied to real life images. Fractal Geometry in Digital imaging will appeal to postgraduates, researchers and practitioners in image processing, mathematics and computing, information technology and engineering.

Fractals in the Physical Sciences

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Author : Hideki Takayasu
Publisher : Manchester University Press
ISBN 13 : 9780719034343
Total Pages : 196 pages
Book Rating : 4.0/5 (343 download)

Book Synopsis Fractals in the Physical Sciences by : Hideki Takayasu

Download or read book Fractals in the Physical Sciences written by Hideki Takayasu and published by Manchester University Press. This book was released on 1990 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractals in Science

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Author : Armin Bunde
Publisher : Springer
ISBN 13 : 3642779530
Total Pages : 317 pages
Book Rating : 4.6/5 (427 download)

Book Synopsis Fractals in Science by : Armin Bunde

Download or read book Fractals in Science written by Armin Bunde and published by Springer. This book was released on 2013-12-21 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: A deeply detailed discussion of fractals in biology, heterogeneous chemistry, polymers, and the earth sciences. Beginning with a general introduction to fractal geometry it continues with eight chapters on self-organized criticality, rough surfaces and interfaces, random walks, chemical reactions, and fractals in chemisty, biology, and medicine. A special chapter entitled "Computer Exploration of Fractals, Chaos, and Cooperativity" presents computer demonstrations of fractal models: 14 programs are included on a 3 1/2" MS-DOS diskette which run on any PC with at least 1 MB RAM and a EGA or VGA graphics card, 16 colors.

Chaos and Fractals

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Author : C.A. Pickover
Publisher : Elsevier
ISBN 13 : 9780080528861
Total Pages : 452 pages
Book Rating : 4.5/5 (288 download)

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 452 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.

Fractals

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Author : John Briggs
Publisher : Simon and Schuster
ISBN 13 : 0671742175
Total Pages : 196 pages
Book Rating : 4.6/5 (717 download)

Book Synopsis Fractals by : John Briggs

Download or read book Fractals written by John Briggs and published by Simon and Schuster. This book was released on 1992 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the significance and beauty of fractals using over 170 illustrations.

Fractal Geometry in Architecture and Design

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Author : Carl Bovill
Publisher : Springer Science & Business Media
ISBN 13 : 1461208432
Total Pages : 200 pages
Book Rating : 4.4/5 (612 download)

Book Synopsis Fractal Geometry in Architecture and Design by : Carl Bovill

Download or read book Fractal Geometry in Architecture and Design written by Carl Bovill and published by Springer Science & Business Media. This book was released on 2013-03-11 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: na broad sense Design Science is the grammar of a language of images Irather than of words. Modern communication techniques enable us to transmit and reconstitute images without needing to know a specific verbal sequence language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multi dimensional. Architectural renderings commonly show projections onto three mutual ly perpendicular planes, or consist of cross sections at different altitudes capa ble of being stacked and representing different floor plans. Such renderings make it difficult to imagine buildings comprising ramps and other features which disguise the separation between floors, and consequently limit the cre ative process of the architect. Analogously, we tend to analyze natural struc tures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures. Perception is a complex process. Our senses record; they are analogous to audio or video devices. We cannot, however, claim that such devices perceive.

Fractals, Graphics, and Mathematics Education

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

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

Fractals

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Author : John Briggs
Publisher :
ISBN 13 : 9781626543768
Total Pages : 194 pages
Book Rating : 4.5/5 (437 download)

Book Synopsis Fractals by : John Briggs

Download or read book Fractals written by John Briggs and published by . This book was released on 2015-12-10 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the significance and beauty of fractals using over 170 illustrations.

Fractals

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Author : Harold M. Hastings
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Fractals by : Harold M. Hastings

Download or read book Fractals written by Harold M. Hastings and published by Oxford University Press, USA. This book was released on 1993 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals: A User's Guide for the Natural Sciences explains Mandelbrot's fractal geometry and describes some of its applications in the natural world. Written to enable students and researchers to master the methods of this timely subject, the book steers a middle course between the formality of many papers in mathematics and the informality of picture-orientated books on fractals. It is both a logically developed text and an essential `fractals for users' handbook.

Physics and Fractal Structures

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Author : Jean-François Gouyet
Publisher : Elsevier Masson
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Physics and Fractal Structures by : Jean-François Gouyet

Download or read book Physics and Fractal Structures written by Jean-François Gouyet and published by Elsevier Masson. This book was released on 1996 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: