The Art of Iterated Function Systems with Expanding Functions
Inhaltsverzeichnis
Reference
Philip Van Loocke: The Art of Iterated Function Systems with Expanding Functions. In: Bridges 2009. Pages 55–62
DOI
Abstract
Iterated function systems with contracting functions have been widely applied in contexts relating art and science. This paper explores iterated function systems which consist of expanding linear functions. An area in the plane is divided in parts which are defined implicitly by an inverse function technique. With each part, an expanding function is associated. A coloring technique is proposed which yields textures suggestive of sophisticated patterns of depth and light. It is briefly described how a rendering technique for recurrent origami can be obtained as a special case of this method.
Extended Abstract
Bibtex
Used References
[1] Ph. Van Loocke, Polygon-based fractals from compressed iterated function systems (IEEE CG&A, accepted). 2009
[2] M. Field, M. Golubitsky, Symmetry in chaos. A search for patterns in mathematics, art and nature, Oxford: Oxford University Press. 1992
[3] P. Prusinkiewicz, M. Hammel, Escape-time visualization method for language restricted iterated function systems, Proceedings of Graphics Interface ’92, Morgan Kaufmann, pp. 213-223. 1992
[4] Ph. Van Loocke, Combination of basic origami with fractal iteration (Computers and Graphics, accepted). 2009
Links
Full Text
http://archive.bridgesmathart.org/2009/bridges2009-55.pdf
