Proceedings of the 2018 International Conference on Mechanical, Electronic, Control and Automation Engineering (MECAE 2018)

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

Authors
Shuqun Liu, Guodong Zhu
Corresponding Author
Shuqun Liu
Available Online March 2018.
DOI
https://doi.org/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.
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Proceedings
2018 International Conference on Mechanical, Electronic, Control and Automation Engineering (MECAE 2018)
Part of series
Advances in Engineering Research
Publication Date
March 2018
ISBN
978-94-6252-493-4
ISSN
2352-5401
DOI
https://doi.org/10.2991/mecae-18.2018.107How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

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  - 2018 International Conference on Mechanical, Electronic, Control and Automation Engineering (MECAE 2018)
PB  - Atlantis Press
SN  - 2352-5401
UR  - https://doi.org/10.2991/mecae-18.2018.107
DO  - https://doi.org/10.2991/mecae-18.2018.107
ID  - Liu2018/03
ER  -