Normalization of the collage regions of iterated function systems

Zhengbing Zhang; Wei Zhang

doi:10.1117/12.999498

30 November 2012 Normalization of the collage regions of iterated function systems

Zhengbing Zhang, Wei Zhang

Proceedings Volume 8558, Optoelectronic Imaging and Multimedia Technology II; 85580X (2012) https://doi.org/10.1117/12.999498
Event: Photonics Asia, 2012, Beijing, China

Abstract

Fractal graphics, generated with iterated function systems (IFS), have been applied in broad areas. Since the collage regions of different IFS may be different, it is difficult to respectively show the attractors of iterated function systems in a same region on a computer screen using one program without modifying the display parameters. An algorithm is proposed in this paper to solve this problem. A set of transforms are repeatedly applied to modify the coefficients of the IFS so that the collage region of the resulted IFS changes toward the unit square. Experimental results demonstrate that the collage region of any IFS can be normalized to the unit square with the proposed method.

Citation Download Citation

Zhengbing Zhang and Wei Zhang "Normalization of the collage regions of iterated function systems", Proc. SPIE 8558, Optoelectronic Imaging and Multimedia Technology II, 85580X (30 November 2012); https://doi.org/10.1117/12.999498

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