A Synthesis Method of Nonlinear Transformation and Affine Transformation for Constructing NIFS

DOI

10.2991/mecae-18.2018.107How to use a DOI?

Keywords

Fractal; Nonlinear iterated function systems (NIFS); Deterministic iteration algorithm; Random iteration algorithm; Attractors.

Abstract

In order to construct a large number of diverse and innovative fractal graphics, an arbitrary nonlinear transformation of "V(x,y)" is introduced into the classical iterated function systems to change the construction form of nonlinear iterated function systems (NIFS). The deterministic algorithm and random iteration algorithm are used to draw the fractal graphics. The summarization of relevant transformation rules are obtained according to the generation of NIFS attractors. The experimental results show that the combination of nonlinear transformation and affine transformation enriches the transformation types of iterated function systems, and a simple and effective approach is provided for the drawing of NIFS fractal graphics.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Shuqun Liu
AU  - Guodong Zhu
PY  - 2018/03
DA  - 2018/03
TI  - A Synthesis Method of Nonlinear Transformation and Affine Transformation for Constructing NIFS
BT  - Proceedings of the 2018 International Conference on Mechanical, Electronic, Control and Automation Engineering (MECAE 2018)
PB  - Atlantis Press
SP  - 418
EP  - 425
SN  - 2352-5401
UR  - https://doi.org/10.2991/mecae-18.2018.107
DO  - 10.2991/mecae-18.2018.107
ID  - Liu2018/03
ER  -