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Fractal Dimension of Al(OH)3 Particle and Fractal Simulation of Boundary Micro-Topography

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Abstract:

Based on the fractal theories, using image processing software (IPS) to handle the scan electron microscope photos of particles, this paper gives a simple and applied method to pick up the boundary line’s fractal dimension (FD) of particles’ projective numerical images. Take example for Al(OH)3 material particles, adopting respectively relative Box-counting (BC) method and relative C-S method, we have calculated the boundary FD values of the research objects and compared FD with other quantitative token parameters, which shows FD is a sort of more refined quantitative token parameter. Finally, utilizing the method of Generator, we get some fractal figures which have nearly same FD values with Al(OH)3 material particles, utilizing that we can simulate and analyze the complexity of the boundary and surface micro-topography of Al(OH)3 material particles.

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Periodical:

Key Engineering Materials (Volumes 336-338)

Pages:

2402-2405

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.336-338.2402

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Online since:

April 2007

Authors:

Guo Sheng Gai, Jin Ping Li, Zhou Shun Zheng, Xiang Yang Hao, Yu Fen Yang

Keywords:

Fractal Dimension, Fractal Simulation, Microtopography, Quantitative Token

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© 2007 Trans Tech Publications Ltd. All Rights Reserved

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