基于数字摄影测量技术的岩石表面分形维研究

基于数字摄影测量技术,结合计算机图形处理方法,对大理岩和花岗岩两种岩石试件的表面图像进行采集并处理,得到两种岩石光滑表面的二值图像.编制MATLAB程序,统计一系列以不同像素点为边长的正方形覆盖二值图像时的个数,根据像素量和正方形个数之间的关系确定图像的计盒维数;统计一系列在不同尺度下图形曲线的周长和面积,根据他们之间的关系确定图像的周长-面积关系维数,结果表明:两种岩石表面具有典型的分形特征,两种分形维数计算结果准确、可靠;数字摄影测量技术结合计算机图形处理方法适用于分形分析中.

Rock surface fractal dimension analysis based on digital camera measurement technology

Basing on the digital camera measurement technology,combined with computer graphics processing method,the surface images of specimens of marble and granite are obtained and processed.There are binary images of rock smooth surface.With the MATLAB program,the numbers of a series of square blocks whose lengths were different pixel quantities to cover the binary image were counted;and the box-counting dimension of these images was calculated according to the mathematics relationship of the pixel quantities and the numbers of square blocks.The perimeters and areas of a series of curves with different scales are obtained;and the perimeter-area dimension was counted according to the mathematics relationship of the perimeters and areas.The results show that both the rock surfaces with a typical fractal and the calculation results of two kinds of fractal dimension are accurate and reliable.The digital camera measurement technique combining with computer graphics processing method is suitable for fractal analysis.