摘要
分形理论及其应用在近20年里得到了突飞猛进的发展,但使用中的缺陷也日趋引起人们更多关注。尤其其算法中的繁杂的计算过程、盒子分割的无目的性和不能体现分形几何的特性使得在应用中的几何形状问题、分辨率问题和填充率问题日趋明显。为此,本研究有针对性地提出了实分形、虚分形和分辨率及填充率计算方法,并结合上述概念改进了盒维数计算公式,通过对比与分析发现该法不但计算结果精确还体现了形状、机遇和维数三要素。
Theory and application of Fractal are tremendously evolved,but whose defect has gradually roused extensive attention.The problems of Geometry,Resolution and Fillrate become more and more evident because calculation is complex,the process of segmentation of the box segmentation is aimless,and the features of Fractal isn＇t incarnated.Substance-Fractal,Virtual-Fractal,Resolution and Fillrate are targeted proposed,and the Formula of box dimension is improved,and it is discovered that the Formula contain the elements of geometry,opportunities and dimension.
出处
《系统科学学报》
CSSCI
2012年第1期60-64,共5页
Chinese Journal of Systems Science
基金
西藏自治区科技厅青年基金资助项目(2009104)
关键词
分形
盒维数
实分形
虚分形
分辨率
填充率
Fractal
Box dimension
Substance-Fractal
Virtual-Fractal
Resolution
Fillrate
