Discrete Iterated Function Systems

Name: Discrete Iterated Function Systems
Brand: Taylor & Francis Inc
Price: 230.75 AUD
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By: Mario Peruggia

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Hardcover | 15 May 1993 | Edition Number 1

At a Glance

Hardcover
200 Pages

Dimensions(cm)
24.13 x 16.51 x 1.91

Hardcover

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Written for researchers and developers applying Integrated Function Systems in the creation of fractal images, this book presents a modification of a widely used probabilistic algorithm for generating IFS-encoded images. The book also includes a discussion of how IFS techniques can be applied to produce animated motion pictures.

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You Can Find This Book In

Non-Fiction Mathematics Topology Computing & I.T.Computer Programming & Software Development Algorithms & Data Structures Applied Mathematics Graphical & Digital Media Applications Computer Science Mathematical Theory of Computation Geometry Fractal Geometry

Calculus & Mathematical Analysis

Preface
Acknowledgments
List of Figures
Introduction	p. 1
Deterministic Theory of Iterated Function Systems	p. 9
Preliminaries	p. 10
Contractive and Affine Transformations	p. 12
Iterated Function Systems	p. 16
Iterated Function Systems with Condensation	p. 28
Self-Covering and Encoding	p. 31
Probabilistic Theory of Iterated Function Systems	p. 39
Generation Algorithm	p. 41
Stochastic Model	p. 44
Self-Covering Property	p. 48
Invariance Condition and Encoding	p. 49
Mixing Algorithm	p. 52
Another Look at the Stochastic Model	p. 54
Other Applications of the Invariance Condition	p. 58
The Round-Off Process	p. 69
Definition of the Round-Off Process	p. 70
Properties of the Round-Off Version of a Single Contractive Transformation on R[superscript 2]	p. 75
Examples of Round-Off Versions of Contractive Transformations on R[superscript 2]	p. 88
Limiting Properties of the Round-Off Process	p. 124
Animation	p. 147
Continuity Considerations	p. 149
A Discontinuity Example	p. 151
Making Movies	p. 154
Graphics Equipment	p. 167
Bibliography	p. 171
Index	p. 175
Table of Contents provided by Blackwell. All Rights Reserved.

Discrete Iterated Function Systems

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Hardcover

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