Conditions for Fractal Dimension Estimate Model of Spatial Objects and a Case Study

Bin Li; Ming Xia Xu; Yong Long Xu; Shi Hang Li

doi:10.4028/www.scientific.net/AMR.538-541.754

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 538-541Conditions for Fractal Dimension Estimate Model of...

Conditions for Fractal Dimension Estimate Model of Spatial Objects and a Case Study

Abstract:

This paper, starting from the concept and definition of fractal dimension, discussed the properties and established the sufficient and necessary conditions of the fractal dimension estimate model of spatial objects such as lines, facets and volumes. Based on the conditions, we put forward a fractal dimension estimate model for linear spatial objects, and verified the rationality and validity of the model for linear objects’ fractal calculation.

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Periodical:

Advanced Materials Research (Volumes 538-541)

Pages:

754-757

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.538-541.754

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Online since:

June 2012

Authors:

Bin Li, Ming Xia Xu, Yong Long Xu, Shi Hang Li

Keywords:

Estimate Model, Fractal Dimension, Spatial Objects, Sufficient and Necessary Condition

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References

[1] B.B. Mandelbrot: How long is the coast of Britain? Statistical self-similarity and fractional dimension, Science Vol. 155 (1967), pp.636-638

DOI: 10.1126/science.156.3775.636

Google Scholar

[2] Li Bin, Xu Yonglong and Zhang Jinhui, in: Study on Calculation Model of Curve Fractal Dimension, 2010 Sixth International Conference on Natural Computation (2010)

DOI: 10.1109/icnc.2010.5584690

Google Scholar

[3] Guo Renzhong: Spatial Analysis(Second Edition) (High Education Press, Beijing 2001)

Google Scholar

[4] Li Bin: Development and application research of ground fissures and land subsidence hazard management information system (Ph.D. Thesis). Chang'an University, Xi'an China (2009)

Google Scholar

[5] Peng Jianbing, Zhang Qin, Huang Qiangbing, in: A scientific report on genetic mechanism and prevention of ground fissures and land subsidence in Xi'an. Chang'an University, Xi'an China (2009)

Google Scholar

[6] Peng J. B., Chen L. W., and Huang Q. B.: Large-scale physical simulative experiment on ground-fissure expansion mechanism. Chinese Journal of Geophysics, Vol. 51(6) (2008), pp.1826-183

Google Scholar