基于MATLAB对混凝土SEM分形维数的计算

Calculating SEM fractal dimension of concrete by MATLAB

在分形科学的研究中,分形维数的求取方法一直是人们所关注的,因为它直接关系到求解的可操作性和结果的精度。利用MATLAB的图像处理和数值计算功能,通过编写MATLAB程序计算Sierpinski垫圈图形分形维数并与理论值对比,结果表明该方法准确、合理。通过对混凝土扫描电镜(混凝土SEM)进行处理,计算出图像的分形维数(即计盒维数),从而也为分析研究混凝土微观结构提供一种新方法。

In the study of fractal science, the Calculating method of fractal dimension has been paid attention to as it impacts directly the solving maneuverability and the results accuracy.Using MATLAB image processing and numerical calculation function, the fractal dimension of Sierpinski gasket was calculated by written MATLAB program, the results and the theoretical value was contrasted, the re- suits show that the method is accurate and reasonable. And by SEM of concrete, its fractal dimension（box-counting dimension） was cal- ＂culated. which nrovides a newmethod for concrete microstructure study.