摘要
本文讨论分形图形周界和面积的关系;指出:在现实存在的有限层次自相似结构的近似分形图形中,Mandelbrot 的周界—面积分维关系不适用。这可能是一些用此办法测出的分维值随码尺大小变化的根本原因。
The relationship of perimeter with area (P/A relation) of fractal island is discussed. It is shown that Mandelbrot's fractal relation between Koch perimeter and area does not hold in the island with finite self-similar generations. This might be the reason why the fractal dimension measured with PI A relation varied with the length of yardstick in previous work.
出处
《高压物理学报》
CAS
CSCD
北大核心
1990年第4期259-262,共4页
Chinese Journal of High Pressure Physics
关键词
分形
周界
面积
分维
KOCh岛
fractal, fractal dimension, koch island, self-similarity.
