基于Matlab液面银薄膜分形维数的计算分析

An Analysis of Fractal Dimensions of Silver Films on Liquid Substrates Based on Matlab

利用Matlab数值分析软件,将沉积在液体基金的银薄膜真彩数值图像进行了二值化处理,并计算了该银薄膜的分形盒维数。经计算发现银薄膜图像灰度分布具有双峰结构。二值化后的图像计算得到液体基底金属银薄膜的盒维数大约为1.50,计算结果与相关文献的结果一致。它表明基于Matlab的盒维数算法用于计算此类液体基底金属薄膜的二维分形盒维数具有较好的准确性,同时也表明其可以用来分析液体基底表面其他金属薄膜分形维数。

Based on the Matlab data analysis software,we binarizate the color image of the silver films deposited on the liquid substrates firstly,and then calculate the fractal box dimension.It is found that there are two peaks in the gray scale distribution of the image of the silver film.The fractal box dimension of the silver films on the liquid substrates is about 1.50,which is consistent with the reference reported before.It indicates that the program of the fractal box dimension based on the Matlab has good accuracy and it can be used to analyze other metal films on the liquid substrates.