Discrete iterated function systems /
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Wellesley, Mass. :
A.K. Peters,
c1993.
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| Subjects: |
Table of Contents:
- 1. Introduction
- 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
- 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. 3.5. Mixing Algorithm. 3.6. Another Look at the Stochastic Model. 3.7. Other Applications of the Invariance Condition
- 4. The Round-Off Process. 4.1. Definition of the Round-Off Process. 4.2. Properties of the Round-Off Version of a Single Contractive Transformation on R[superscript 2]. 4.3. Examples of Round-Off Versions of Contractive Transformations on R[superscript 2]. 4.4. Limiting Properties of the Round-Off Process
- 5. Animation. 5.1. Continuity Considerations. 5.2. A Discontinuity Example. 5.3. Making Movies. 5.4. Graphics Equipment.