Proceedings of the 2014 International Conference on Computer Science and Electronic Technology

Separation Properties of Countable Infinite Iterative Function System Based on the Discrete Element Method

Authors
Xiaochun Tang, Wei Zhang, Meili Dai
Corresponding Author
Xiaochun Tang
Available Online January 2015.
DOI
https://doi.org/10.2991/iccset-14.2015.35How to use a DOI?
Keywords
Discrete element method; Countable; Geometric-fractal; MATLAB software; Approximation curve; Iterative function
Abstract

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.

Copyright
© 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/).

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Volume Title
Proceedings of the 2014 International Conference on Computer Science and Electronic Technology
Series
Advances in Computer Science Research
Publication Date
January 2015
ISBN
978-94-62520-47-9
ISSN
2352-538X
DOI
https://doi.org/10.2991/iccset-14.2015.35How to use a DOI?
Copyright
© 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  -