图像的分形维数计算方法及其应用

分形几何给人们提供了研究不规则几何对象的思想和方法 ,分形维数能够表征自然界中所获取的图像的某些特性 ,这已经得到了广泛的研究和认可 本文基于计算机图像的存储原理 ,研究了分形维数的计算方法 ,给出了计算图像分形维数的象素点覆盖法 作为实际应用例子 ,在水泥沙浆单轴压载过程中 ,应用电子扫描镜拍摄了不同应力应变情况下的损伤形貌 ,计算了各阶段损伤区域的分形维数 ,从某种意义上揭示了材料损伤及其演化发展的特性

Computing Method of Fractal Dimension of Image and Its Application

Fractal geometry provides people with ideas and methods used to study irregular geometric objects. Fractal dimension can indicate some characteristics of image obtained from nature. A wide research and approval are obtained in this field. Based on the storing principles of images in computer,a computing method of fractal dimension is studied in this paper. A computing method of fractal dimension of image, pixel covering method, is given. As an example of its application, damage appearances of cement under various stresses and strains during the single axle loading are recorded with electronic scanning microscope. Fractal dimensions of the damage fields at various times are calculated. It reveals the features of the material damage and its development in a sense.