A Synthesis Method of Nonlinear Transformation and Affine Transformation for Constructing NIFS
- Shuqun Liu, Guodong Zhu
- Corresponding Author
- Shuqun Liu
Available Online March 2018.
- https://doi.org/10.2991/mecae-18.2018.107How to use a DOI?
- Fractal; Nonlinear iterated function systems (NIFS); Deterministic iteration algorithm; Random iteration algorithm; Attractors.
- 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.
- 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 UR - https://doi.org/10.2991/mecae-18.2018.107 DO - https://doi.org/10.2991/mecae-18.2018.107 ID - Liu2018/03 ER -