Sandbox法求沥青混合料空隙分形维数  

The Sandbox Method for Fractal Dimension of Asphalt Mixture Void

作　　者：于江[1] 张帆[1] 

机构地区：[1]新疆大学建筑工程学院,新疆乌鲁木齐830047

出　　处：《公路工程》2015年第1期68-71,132,共5页Highway Engineering

基　　金：国家自然科学基金项目(51168044)

摘　　要：将沥青混合料横向剖切面图像用Matlab软件处理,分割出空隙的二值化图像并计算空隙分维数。在求沥青混合料空隙分维数时大多采用计盒维数法,然而此方法在网格划分的过程中对图像的尺寸有严格要求,并且背景区域对沥青混合料横向剖切面图像的计算结果有一定的影响。为此提出采用Sandbox法求空隙分维数,不用考虑网格划分及背景区域对分维数的影响,且能真实的表达出沥青混合料横向剖切面空隙分维数的实际意义。通过Matlab编程运算,用Sandbox法求沥青混合料横向剖切面的空隙分维数为1.146,其结果符合多数文献中给出的范围,其求解过程更加简单方便,值得研究和推广运用。With the Matlab software transverse cutting plane image of the asphalt mixture was processed,and segmentated the binarization image of void to calculate the fractal dimension of void. When calculating the fractal dimension of asphalt mixture void mostly used the box-counting dimension method,however,this method in the process of meshing has strict requirements on the size of the image,and has a certain influence on calculation results when the transverse cutting plane image of the asphalt mixture has some background regions. The Sandbox method was proposed to calculate the fractal dimension of void without considering the effect of mesh division and the background region on the fractal dimension,and it can truly expressed the actual significance to the fractal dimension of void. Programming and calculating by using the Matlab software,the result for the fractal dimension of void is 1. 146 which is consistent with the range comes from some literatures,and the Sandbox method is more simple,convenient and worthy of research and extension.

关 键 词：公路工程 空隙分形维数 Sandbox法 沥青混合料图像 计盒维数法 

分 类 号：U414.1[交通运输工程—道路与铁道工程]