Manipulating Images with Fractal Julia Sets

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Reference

Stanley Spencer: Manipulating Images with Fractal Julia Sets. In: Bridges 2008. Pages 243–250

DOI

Abstract

The pictures associated with the fractal Julia sets are familiar to mathematicians and non-mathematicians. The main purpose of this paper is to look at ways by which an image can be manipulated using the same mathematical process. This paper looks at several ways that an arbitrary pixel image can be iteratively transformed using fractal Julia set algorithms. The standard approach of letting the pixels evolve towards attractors was interesting, but a second approach, one that inverted the process so that attractors became expellers, proved more fruitful for creating interesting images.

Extended Abstract

Bibtex

Used References

[1] Peitgen and Richter, The Beauty of Fractals, ISBN 3-540-15851,-0 Springer, 1986 - actual pages are mentioned in the body of the paper.

[2] Hans Lauwerier, Fractals Images of Chaos, ISBN 0-14-014411,-0 Penguin, 1991

[3] David Wells, Curious and Interesting Geometry, ISBN 0-14-011813-6, Penguin, 1991

[4] Chaos Theory, <http://en.wikipedia.org/wiki/chaos_theory>, (Accessed 28.12.2007)


Links

Full Text

http://archive.bridgesmathart.org/2008/bridges2008-243.pdf

intern file

Sonstige Links

http://archive.bridgesmathart.org/2008/bridges2008-243.html