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Author | : Heinz-Otto Peitgen |
Publisher | : Springer Science & Business Media |
Total Pages | : 328 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 146123784X |
Download The Science of Fractal Images Book in PDF, ePub and Kindle
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.
Author | : Heinz-Otto Peitgen |
Publisher | : |
Total Pages | : 332 |
Release | : 1988-07-19 |
Genre | : |
ISBN | : 9781461237853 |
Download The Science of Fractal Images Book in PDF, ePub and Kindle
Author | : Heinz-Otto Peitgen |
Publisher | : Springer Science & Business Media |
Total Pages | : 214 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 3642617174 |
Download The Beauty of Fractals Book in PDF, ePub and Kindle
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.
Author | : Heinz-Otto Peitgen |
Publisher | : Springer Science & Business Media |
Total Pages | : 1013 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1475747403 |
Download Chaos and Fractals Book in PDF, ePub and Kindle
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.
Author | : Ning Lu |
Publisher | : Springer Science & Business |
Total Pages | : 458 |
Release | : 1997 |
Genre | : Computers |
ISBN | : 9780124580107 |
Download Fractal Imaging Book in PDF, ePub and Kindle
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.
Author | : Benoit Mandelbrot |
Publisher | : Echo Point Books & Media, LLC |
Total Pages | : 0 |
Release | : 2021-07-16 |
Genre | : |
ISBN | : 9781648370410 |
Download The Fractal Geometry of Nature Book in PDF, ePub and Kindle
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.
Author | : Hendrik Adolf Lauwerier |
Publisher | : |
Total Pages | : 209 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9780691024455 |
Download Fractals Book in PDF, ePub and Kindle
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.
Author | : Martin J. Turner |
Publisher | : Academic Press |
Total Pages | : 352 |
Release | : 1998-06-23 |
Genre | : Computers |
ISBN | : 9780127039701 |
Download Fractal Geometry in Digital Imaging Book in PDF, ePub and Kindle
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.
Author | : Armin Bunde |
Publisher | : Springer |
Total Pages | : 317 |
Release | : 2013-12-21 |
Genre | : Science |
ISBN | : 3642779530 |
Download Fractals in Science Book in PDF, ePub and Kindle
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.
Author | : Michael Frame |
Publisher | : Cambridge University Press |
Total Pages | : 232 |
Release | : 2002-06-20 |
Genre | : Computers |
ISBN | : 9780883851692 |
Download Fractals, Graphics, and Mathematics Education Book in PDF, ePub and Kindle
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