.png){kind=icon}
.png){kind=icon}
Return
Multiple-Function Systems Based on Regular Subdivision
.png){kind=icon}
OA
AI
DOI：10.3390/fractalfract6110677.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Self-similar fractals can be generated using subdivision and the subdivision curves/surfaces are actually attractors. Such a connection has been studied between fractals and an extended family of subdivision including stationary and non-stationary schemes. This paper aims to move one step further on such a connection and introduce multiple-function systems, which has a set of function systems and choose one for each step of iteration. These multiple-function systems can be obtained by deriving the iterated function systems based on the subdivision operators and applying some modifications, including deleting some transformations, to them. Such multiple-function systems can be arranged in a tree structure and can generate different attractors along different paths in the tree. Several examples are presented to illustrate the performance of these multiple-function systems.
Keywords:
fractals
attractors
subdivision
iterated function systems
trees of function systems
Journal
IF:
3.3
Papers:
4.3K
Citations:
7.6K