Discrete iterated function systems

by Peruggia, Mario

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Title Statements

Full title :Discrete iterated function systems / Mario Peruggia.

Edition Statements

Publication Date:©1993.

Publication Statements

Publisher(s):AK Peters
Place of Publication:Wellesley, Mass
Language:eng
Publication Date:©1993.

The Physical Object

Description:xvi, 180 pages : : illustrations (some color) ; : 24 cm

Edition Identifiers

ISBN:1568810156, 9781568810157
oclc:ocm28221158
LC Classification:TA1637
Dewey Decimal:621.36/7

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.