Fractal Dimension of Al(OH)3 Particle and Fractal Simulation of Boundary Micro-Topography
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.
Wei Pan and Jianghong Gong
G. S. Gai, J. P. Li, Z. S. Zheng, X. Y. Hao, Y. F. Yang, "Fractal Dimension of Al(OH)3 Particle and Fractal Simulation of Boundary Micro-Topography", Key Engineering Materials, Vols. 336-338, pp. 2402-2405, 2007