分形维数计算程序的设计及其应用

The Design and Application of Fractal Dimension Calculation Program

分形维数能够表征自然形态的某些特性,通过对原始数字图像的分析和研究,采用适当的处理方法,将数字图像转化为分形图像,并根据分形图像计算分形维数。利用VisualBasic(简称VB)完成了基于Windows平台的分形维数计算程序的设计,并以直线、矩形、康托尘、科赫曲线等分形图形对其进行了检验。在此基础上,利用该程序对一些分形图像进行了研究。

Fractal dimension can indicate some characteristics of natural images. With right approach and through the analysis and study of original images, digital image can be turned into factual one by which the fractal dimension is figured out. Programming of the fractal dimension based on Windows platform can be done using Visual Basic and Validated by means of lines, rectangles, Cantor Dust and Koch Curve. This program is used to calculate fractal dimensions in some fields.