Discrete Iterated Function Systems

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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."--Provided by publisher.

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Title Statements

Full title :Discrete Iterated Function Systems / Mario Peruggia.

Summary

Edition Statements

Publication Date:1993.
Edition:First edition

Publication Statements

Publisher(s):CRC Press
Place of Publication:Boca Raton, FL
Language:eng
Publication Date:1993.

The Physical Object

Description:1 online resource : : text file, PDF

Edition Identifiers

ISBN:9781439864708, 1439864705
DOI:10.1201/9781439864708
oclc:on1027786157
LC Classification:TA1637.P47 1994
Dewey Decimal:621.36.7-dc20

Cover; Half title; Title; Copy right; Dedication; Contents; Preface; Acknowledgments; List of Figures; Chapter 1 Introduction; Chapter 2 Deterministic Theory of Iterated Function Systems; 2.1. Preliminaries; 2.2. Contractive and Affine Transformations; 2.3. Iterated Function Systems; 2.4. Iterated Function Systems with Condensation; 2.5. Self-Covering and Encoding; Chapter 3 Probabilistic Theory of Iterated Function Systems; 3.1. Generation Algorithm; 3.2. Stochastic Model; 3.3. Self-Covering Property; 3.4. Invariance Condition and Encoding; Chapter 4 The Round-Off Process.

4.1. Definition of the Round-Off Process4.2. Properties of the Round-Off Version of a Single Contractive Transformation on 1R 2; 4.3. Examples of Round-Off Versions of Contractive Transformations on 1R 2; 4.4. Limiting Properties of the Round-Off Process; Chapter 5 Animation; 5.1. Continuity Considerations; 5.2. A Discontinuity Example; 5.3. Making Movies; 5.4. Graphics Equipmen; Bibliography; Index.