Improved box-counting methods to directly estimate the fractal dimension of a rough surface

doi:10.1016/j.measurement.2021.109303

	Improved box-counting methods to directly estimate the fractal dimension of a rough surface
	Wu, Mingyang 2,3; Wang, Wensong 2; Shi, Di 1; Song, Zhenlong 3; Li, Minghui 4; Luo, Yafei 2
刊名	MEASUREMENT
	2021-06-01
卷号	177 页码:12
关键词	Rough surface Box-counting dimension Cubic covering Stable measurement result Thick film
ISSN号	0263-2241
DOI	10.1016/j.measurement.2021.109303
英文摘要	Rough surfaces exist widely in nature, and the measurement of these surfaces' fractal dimension is beneficial for understanding their formation mechanism and effect. The basic principles of previous cubic covering methods are described, and then the stable cubic covering method (SCCM) and stable differential cubic covering method (SDCCM) are proposed based on the box-counting method. Afterward, a real sandstone fracture surface and Takagi surfaces are adopted to compare these methods' differences. The results show that different measurement methods are needed to measure surfaces with different theoretical fractal dimensions. Meanwhile, the SCCM and SDCCM can obtain more stable measurement results than previous methods. Then, the recommended methods and their corresponding scale factors are summarized. Finally, the potential of these cubic covering methods to measure a thick film is described. The research is of great significance to the fractal dimension measurement of a rough surface or a thick film.
资助项目	National Natural Science Foundation of China[51434003] ; National Natural Science Foundation of China[51874053] ; National Natural Science Foundation of China[51804049] ; Postdoctoral Science Foundation of State Key Laboratory of Coal Mine Disaster Dynamics and Control[2011DA105287-BH201905]
WOS研究方向	Engineering ; Instruments & Instrumentation
语种	英语
出版者	ELSEVIER SCI LTD
WOS记录号	WOS:000649696000004
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/27120]
专题	中科院武汉岩土力学所
通讯作者	Wang, Wensong; Shi, Di
作者单位	1.Chinese Acad Sci, Inst Rock & Soil Mech, Wuhan 430071, Peoples R China 2.Chongqing Univ, Sch Resources & Safety Engn, State Key Lab Coal Mine Disaster Dynam & Control, Chongqing 400030, Peoples R China 3.Southern Univ Sci & Technol, Dept Earth & Space Sci, Shenzhen 518055, Peoples R China 4.Shenzhen Univ, Inst Deep Earth Sci & Green Energy, Guangdong Prov Key Lab Deep Earth Sci & Geotherma, Shenzhen 518060, Peoples R China
推荐引用方式 GB/T 7714	Wu, Mingyang,Wang, Wensong,Shi, Di,et al. Improved box-counting methods to directly estimate the fractal dimension of a rough surface[J]. MEASUREMENT,2021,177:12.
APA	Wu, Mingyang,Wang, Wensong,Shi, Di,Song, Zhenlong,Li, Minghui,&Luo, Yafei.(2021).Improved box-counting methods to directly estimate the fractal dimension of a rough surface.MEASUREMENT,177,12.
MLA	Wu, Mingyang,et al."Improved box-counting methods to directly estimate the fractal dimension of a rough surface".MEASUREMENT 177(2021):12.