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Some nonlinear iterated function systems

Authors
Journal
Computers & Graphics
0097-8493
Publisher
Elsevier
Publication Date
Volume
18
Issue
1
Identifiers
DOI: 10.1016/0097-8493(94)90123-6

Abstract

Abstract We give examples of Iterated Function Systems where the usual affine functions are replaced by complex polynomials. Since these are not global contractions, some care must be exerted with the domain on which the functions are applied. On the other hand, the lack of unique inverse functions gives rise to multiple addresses for the same regions of the attractor, thus providing another degree of information available for determining other attributes—for example, colors or textures—of the image. Traversing a loop through parameter space reveals an “explosion” of features and also what may be a curious cascade of self-intersections.

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