期刊论文详细信息
AIMS Mathematics | |
Fractal approximation of chaos game representations using recurrent iterated function systems | |
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