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The Science of Fractal Images Hardcover – January 1, 1988

by Dietmar Peitgen, Heinz-Otto; Saupe (Author)

4.1 19 ratings

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The Science of Fractal Images

Print length

326 pages
Language

English
Publisher

Springer
Publication date

January 1, 1988
Dimensions

8.25 x 1 x 10.75 inches
ISBN-10

0387966080
ISBN-13

978-0387966083
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Product details

Publisher ‏ : ‎ Springer; First Edition (January 1, 1988)
Language ‏ : ‎ English
Hardcover ‏ : ‎ 326 pages
ISBN-10 ‏ : ‎ 0387966080
ISBN-13 ‏ : ‎ 978-0387966083
Item Weight ‏ : ‎ 2.45 pounds
Dimensions ‏ : ‎ 8.25 x 1 x 10.75 inches

Best Sellers Rank: #1,887,360 in Books (See Top 100 in Books)
- #261 in Fractal Mathematics
- #340 in Topology (Books)

Customer Reviews:
4.1 19 ratings

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4.1 out of 5

19 global ratings

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HarvardGrad

Fractals in Fractals with code.

Reviewed in the United States on September 14, 2017

Verified Purchase

Fractals everywhere in everywhere. Well explained.

Helpful

Great book on fractals and imaging

Reviewed in the United States on May 7, 2006

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.

12 people found this helpful

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Amazon Customer

Seems to be more about nice pictures

Reviewed in the United States on January 29, 2014

Verified Purchase

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.

One person found this helpful

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Dr. Rogers JGT

Fractals -- Applied Mathmatics and Computer Programming

Reviewed in the United States on September 24, 2007

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.

6 people found this helpful

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Warren

One of the best (if no the best) in the feild

Reviewed in the United States on July 25, 2000

You cant go past this book,
This book reads at any level, Great introduction to the field as well as an indespencible reference. Shows easy to implement code examples, and has lots of pictures showing what can be acheived.
This has been a main reference for a theisis I am currently working on. The question is, why is it out of print. If you can find it it's worth it's wheight in gold.

16 people found this helpful

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Massimiliano Celaschi

A must

Reviewed in the United States on June 22, 2000

In my opinion, the best work ever written in the category not-for-beginner-but-available-to-non-specialist (such as Beauty of Fractals, by the same authors). An easy answer to question "How can I generate a fractal image with my PC?", from brownian motion to Julia sets. A must for reader interested in fractals (a bit out-of-fashion but still very interesting field).

11 people found this helpful

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村山　和郎

この本は私の元に届いていない。

Reviewed in Japan on April 13, 2021

Verified Purchase

研究に使うので至急届けてほしい。

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Folmer Brem

No problems

Reviewed in the United Kingdom on February 19, 2015

Verified Purchase

As expected :)

schrottvogel

DAS Standardwerk zur Erzeugung von Fraktalen

Reviewed in Germany on May 4, 2005

Verified Purchase

Mit diesem 1988 erschienenen Buch haben die Herausgeber Peitgen und Saupe ein sehr fundiertes und umfassendes Werk geschaffen, das sehr genau auf die Erzeugung von fraktalen Bildern eingeht.
Das Buch besteht aus mehreren Artikeln renommierter Autoren, unter anderem von Mandelbrot, Devaney, Peitgen und Barnsley. Thematisch wird jeder Zweig der fraktalen Modellierung angesprochen, von der Erzeugung fraktaler Landschaften über die Generierung von seltsamen Attraktoren, Julia- und Mandelbrot-Mengen bis hin zu Modellierung natürlicher Objekte mit Iterierten Funktionensystemen oder L-Systemen.
Abgerundet wird das Buch durch einen Essay Mandelbrots über seine Entdeckung der fraktalen Geometrie und einem Essay des Fotographen Michael McGuire über Fraktale als Kunstform und Fraktale in der Natur.
Das Buch ist vor allem für diejenigen, die sich selbst mit der Erzeugung von Fraktalen beschäftigen wollen, sehr empfehlenswert. Es werden meist nicht nur ein, sondern mehrere Algorithmen und Erzeugungsverfahren detailliert beschrieben. Auch auf die ihnen zugrundeliegende Mathematik wird eingegangen sowie auf die jeweiligen Vor- und Nachteile der Verfahren. Zusätzlich ist das Buch im allgemeinen sehr verständlich geschrieben.
Zum Verständnis der Algorithmen sind Mathematikkenntnisse natürlich notwendig; da die meisten von ihnen aber auch in Pseudocode angegeben werden, kann man hier auch als nicht mathematisch begabter Programmierer vieles verwenden.
Mir ist kein Buch bekannt, das eine bessere und fundiertere Einführung in die Erzeugung fraktaler Bilder gibt, und da das Buch auch für viele, nicht nur für Wissenschaftler etc. geeignet ist, vergebe ich 5 Punkte.

2 people found this helpful

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Yevhen Brusilovskyy

Das Buch in sehr gutem Zustand

Reviewed in Germany on March 24, 2019

Verified Purchase

Alles wie erwartet. Vielen Dank!

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