Inversion Fractals and Iteration Processes in the Generation of Aesthetic Patterns

In this paper, we generalize the idea of star‐shaped set inversion fractals using iterations known from fixed point theory. We also extend the iterations from real parameters to so‐called q‐system numbers and proposed the use of switching processes. All the proposed generalizations allowed us to obt...

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Bibliographic Details
Published in:	Computer graphics forum Vol. 36; no. 1; pp. 35 - 45
Main Author:	Gdawiec, K.
Format:	Journal Article
Language:	English
Published:	Oxford Blackwell Publishing Ltd 01.01.2017
Subjects:	aesthetic pattern Algorithms Ceramics Chaos theory fractal Fractal analysis Fractals G.1.2 [Mathematics and Computing]: Approximation—Wavelets and fractals; I.3.5 [Computer Graphics]: Computational geometry and object modelling—Geometric algorithms Games generative art inversion Inversions iteration Iterative methods languages and systems; I.3.m [Computer Graphics]: Miscellaneous Mathematical analysis Switching Textiles
ISSN:	0167-7055, 1467-8659
Online Access:	Get full text
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