Technology of Graphic & Image
|
App. Res. of Comp. Printed Article
Vol. 38, 2021 No. 10
3189-3195

Fractal image generation algorithm based on Markov chain

Deng Zhenzhou1
Zhao Xin1
Wang Ping1
Hong Weiyi2
Tao Ling1
Yu Lisu1
1. School of Information Engineering, Nanchang University, Nanchang 330031, China
2. School of Information & Optoelectronic Science & Engineering, South China Normal University, Guangzhou 510006, China
DOI: 10.19734/j.issn.1001-3695.2020.12.0565

Abstract

Different from the traditional graph generation algorithm based on the Euclidean algorithm, on the basis of the iterative function system, this paper proposed a fractal graph generation algorithm based on the Markov chain. Firstly, this algorithm used the Markov chain to set the transition probability density for each state transition function. Secondly, this algorithm compared a random number with the probability distribution of the state transition function to determine the entered state transition function, then it calculated the position of the attractive point and determined the position and angle of the line, thus derived the angle relationship of the line after iterations. Finally, the lines of different angles and positions generated a complete graph after several iterations. Compared with the traditional algorithm, this algorithm focused on the generation of fractal graphs, the specific control method of the affine transformation matrix parameters, and the changing rules of the graph scatter graph. By setting simulation experiments, it verifies that the proposed algorithm can not only generate different fractal graphs but also regulate its shape. In addition, the proposed algorithm can describe the generation process of fractal graphics, which further verifies its superiority.

Foundation Support

国家科技部03专项(20193ABC03A040)
国家自然科学基金青年项目(61501197)
江西省创新创业高层次人才“千人计划”创新人才长期项目(S2018LQCQ0554)
澳门青年学者计划资助项目(AM201921)
广东省微纳光子功能材料与器件重点实验室(91180198)
2019年江西省研究生创新专项资金立项项目(YC2019-S109)
广东省科学技术厅(2020B1212060067)
计算机体系结构国家重点实验室开放课题(CARCHB202019)
国家自然科学基金地区项目(62161024)
中国博士后科学基金特别资助(站前)项目(2021TQ0136)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2020.12.0565
Publish at: Application Research of Computers Printed Article, Vol. 38, 2021 No. 10
Section: Technology of Graphic & Image
Pages: 3189-3195
Serial Number: 1001-3695(2021)10-055-3189-07

Publish History

[2021-10-05] Printed Article

Cite This Article

邓贞宙, 赵欣, 王平, 等. 基于马尔可夫链的分形图形生成算法 [J]. 计算机应用研究, 2021, 38 (10): 3189-3195. (Deng Zhenzhou, Zhao Xin, Wang Ping, et al. Fractal image generation algorithm based on Markov chain [J]. Application Research of Computers, 2021, 38 (10): 3189-3195. )

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Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

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