Title: The box fractal sets based on bilinear transformation iterated function system

Authors: Hai-Long Hu; Hui-Lan Fang

Addresses: Department of Application Mathematics, Zhejiang A&F University, Hangzhou City, China ' Department of Application Mathematics, Zhejiang A&F University, Hangzhou City, China

Abstract: For solving the problem, which typical iterated function system (IFS for short) attractor is very 'regular', we proposed a new method of generating attractor by bilinear geometric transformation IFS and then generate a kinds of fractal set (box fractal set). The result shows that bilinear transformation IFS can generate attractors with a higher degree of flexibility, reality, and a higher modelling capability. It is important to research nonlinear interactive fractal modelling algorithm.

Keywords: fractal; bilinear transformation; iterated function system; IFS; fractal attractor.

DOI: 10.1504/IJICT.2017.084336

International Journal of Information and Communication Technology, 2017 Vol.10 No.4, pp.365 - 375

Available online: 03 May 2017 *

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