Ebook The Science of Fractal ImagesFrom Brand: Springer
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The Science of Fractal ImagesFrom Brand: Springer
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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.
- Sales Rank: #1188643 in Books
- Brand: Brand: Springer
- Published on: 1988-07-19
- Original language: English
- Number of items: 1
- Dimensions: 1.06" h x 8.27" w x 10.84" l, 2.45 pounds
- Binding: Hardcover
- 312 pages
- Used Book in Good Condition
Most helpful customer reviews
0 of 3 people found the following review helpful.
Seems to be more about nice pictures
By Amazon Customer
Seems to be more about nice pictures than any application to real world problems.
I guess I should have read the title before I purchased, rather than just the ratings.
I was also expecting more colour graphics, as it is their relegated to a few pages here and there rather than interspersed throughout.
12 of 13 people found the following review helpful.
Great book on fractals and imaging
By calvinnme
This old book is a timeless gem. It goes into the details of the mathematics of fractals and also shows well-commented C code for producing fractal imagery along with good color illustrations.
Chapter 1, "Fractals in Nature", uses computer generated images to build a visual intuition for fractal as opposed to Euclidian shapes. There is also a mathematical characterization with Brownian motion as the prototype.
In chapter 2, "Random Fractal Algorithms", randomness is introduced into the algorithms discussed in chapter one as a way of simulating natural phenomena. Ideas are extended to higher dimensions. C programs that produce mountain ranges using these ideas are presented, along with the resulting imagery.
Chapter 3, "Fractal Patterns Arising in Chaotic Dynamical Systems", turns to the topic of dynamical systems and is less mathematical than the first two chapters. There is some mathematics and some illustrations in 2D and black and white that should be familiar to any student of dynamical systems.
Chapter 4, "Fantastic Deterministic Fractals", demonstrates how genuine mathematical research experiments open a door to a new reservoir of fantastic shapes and images. Programs are shown that extend the ideas of chapter 3 into truly beautiful fractals. Ideas here stay mainly in 2D.
The final chapter, "Fractal Modelling of Real World Images", draws from the material of the previous chapters to present C programs that produce clouds, vegetation, smoke, and mountain ranges, all by altering a few of the parameters in the sample code presented by the authors.
This book is much better than more recent titles that bury their algorithms in complex high level languages or "toy books" on the subject that provide dumbed-down applications and in which the simplest possible explanation of fractals is given with no insight. I highly recommend this book to anyone interested in understanding fractal mathematics and in using that mathematics to produce stunning visual effects.
5 of 5 people found the following review helpful.
Fractals -- Applied Mathmatics and Computer Programming
By Dr. Rogers
From page 25" Fractals (a word coined by Mandelbrot in 1975) have blossomed tremendously in the past few years (written in 1988) and have helped reconnect pure mathematics research with both the natural sciences and computing."
This book has both Mathmatical equations and Computer Programs along with explanations and results (many graphs, plots, and color plate images).
If you have an interest in Fractals, Recursion, Computer programming, Image creation, this is a great book and filled with examples.
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