摘要： 根据盒子计数法的基本思想，利用Matlab数学平台，通过表面轮廓曲线图形与图形所对应的曲线坐标数据计算集料表面纹理的分维数。以Koch曲线作为标准分形曲线进行标定，验证了盒子计数法对纹理图形进行分维数计算的可行性，并得出岩石表面纹理的分维数越大则粗糙程度越复杂。

关键词: 岩石表面纹理, 分形维数, 盒子计数法, Koch曲线

Abstract: According to the basic idea of the box counting method, this paper uses Matlab mathematical platform, calculates the fractal dimension number of aggregate surface texture through surface profile curve corresponding to the graphics and graphical curve coordinate data. Koch curve is as a standard fractal dimension curve to go on calibration, it verifies the box count dimension of texture graphics feasibility calculations, and the greater of fractal dimension of the rock surface texture, the more complex of roughness.

Key words: rock surface texture, fractal dimension, box counting method, Koch curve

中图分类号: 

• U416.2，TP393