The Science of Fractal Images

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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.

The Beauty of Fractals

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Publisher : Springer Science & Business Media
ISBN 13 : 3642617174
Total Pages : 214 pages
Book Rating : 4.6/5 (426 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 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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Publisher :
ISBN 13 : 9781461237853
Total Pages : 332 pages
Book Rating : 4.2/5 (378 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 . 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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Publisher : Springer Science & Business
ISBN 13 : 9780124580107
Total Pages : 458 pages
Book Rating : 4.5/5 (81 download)

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

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

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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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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 Geometry in Digital Imaging

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

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

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

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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.

Fractals, Graphics, and Mathematics Education

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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

Fractals

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

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

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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.

Histopathological Image Analysis in Medical Decision Making

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Publisher : IGI Global
ISBN 13 : 1522563172
Total Pages : 340 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Histopathological Image Analysis in Medical Decision Making by : Dey, Nilanjan

Download or read book Histopathological Image Analysis in Medical Decision Making written by Dey, Nilanjan and published by IGI Global. This book was released on 2018-09-21 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medical imaging technologies play a significant role in visualization and interpretation methods in medical diagnosis and practice using decision making, pattern classification, diagnosis, and learning. Progressions in the field of medical imaging lead to interdisciplinary discovery in microscopic image processing and computer-assisted diagnosis systems, and aids physicians in the diagnosis and early detection of diseases. Histopathological Image Analysis in Medical Decision Making provides emerging research exploring the theoretical and practical applications of image technologies and feature extraction procedures within the medical field. Featuring coverage on a broad range of topics such as image classification, digital image analysis, and prediction methods, this book is ideally designed for medical professionals, system engineers, medical students, researchers, and medical practitioners seeking current research on problem-oriented processing techniques in imaging technologies.

Fractal Geometry in Biological Systems

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Publisher : CRC Press
ISBN 13 : 9780849376368
Total Pages : 448 pages
Book Rating : 4.3/5 (763 download)

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Book Synopsis Fractal Geometry in Biological Systems by : Philip M. Iannaccone

Download or read book Fractal Geometry in Biological Systems written by Philip M. Iannaccone and published by CRC Press. This book was released on 1996-07-25 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal Geometry in Biological Systems was written by the leading experts in the field of mathematics and the biological sciences together. It is intended to inform researchers in the bringing about the fundamental nature of fractals and their widespread appearance in biological systems. The chapters explain how the presence of fractal geometry can be used in an analytical way to predict outcomes in systems, to generate hypotheses, and to help design experiments. The authors make the mathematics accessible to a wide audience and do not assume prior experience in this area.

Chaos and Fractals

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Publisher : Elsevier
ISBN 13 : 9780080528861
Total Pages : 452 pages
Book Rating : 4.5/5 (288 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 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.

The Fractal Forest

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Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis The Fractal Forest by : Nancy D. Lorimer

Download or read book The Fractal Forest written by Nancy D. Lorimer and published by . This book was released on 1994 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: