Separation Properties of Countable Infinite Iterative Function System Based on the Discrete Element Method
- https://doi.org/10.2991/iccset-14.2015.35How to use a DOI?
- Discrete element method; Countable; Geometric-fractal; MATLAB software; Approximation curve; Iterative function
The current research on finite iterated function system has been quite mature, and infinite iterated function system satisfying the open set condition also made some important results. This paper introduces the discrete element theory and fractal geometry theory into the separation of countable infinite iterated function system calculation, and sets up a discrete element fractal equation of infinite iterated function. In order to verify the effectiveness and reliability of discrete element model and algorithm, this paper uses MATLAB of matrix sum function to calculation software to test of the model, and obtains the discrete approximation curve of countable infinite iterated function by numerical simulation. In order to test the universality of algorithm, this paper calculates the iteration speed of three algorithms, we find that the three algorithms can achieve good function iterative discrete approximation, and have good effect fractal of genetic algorithm. It provides the theoretical basis for the research of countable infinite iterated function system.
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Xiaochun Tang AU - Wei Zhang AU - Meili Dai PY - 2015/01 DA - 2015/01 TI - Separation Properties of Countable Infinite Iterative Function System Based on the Discrete Element Method BT - Proceedings of the 2014 International Conference on Computer Science and Electronic Technology PB - Atlantis Press SP - 163 EP - 167 SN - 2352-538X UR - https://doi.org/10.2991/iccset-14.2015.35 DO - https://doi.org/10.2991/iccset-14.2015.35 ID - Tang2015/01 ER -