Fractal approximation of chaos game representations using recurrent iterated function systems

AIMS Mathematics

Martin Do Pham¹ 

[1] Applied Math Department, University of Waterloo, Waterloo, Ontario, Canada;

关键词: chaos game representation;    iterated function systems;    multiresolution analysis;    cannabis sativa;   

DOI  :  10.3934/math.2019.6.1824

来源: DOAJ

【 摘 要 】

We demonstrate that chaos game representations of Cannabis sativa may be approximated by the chaos game approximation of a recurrent iterated function system attractor. Via numerical experiments, we then study the fractal scaling properties of both objects and apply a wavelet decomposition in order to investigate scale-invariant patterns. We show that the attractor of a recurrent iterated function system scales similarly to the chaos game representation and has a similar wavelet multiresolution analysis profile.

【 授权许可】

Unknown