自相似结构组合的真伪分维及真分维的测定

True and false fractal dimensions and true fractal dimension evaluation in self similitude structure assembly

提出自相似结构分维测定中伪分维和真分维的概念，并给出其数学表达式。从计算结果说明统计维数和真分维的差别。阐述测定自相似结构真分维的原理和方法及计算参量ｘ比值和伪分维（和真分维）的计算程序，并结合Ｋｏｃｈ曲线岛的实例分析。

The concepts about both the true and false fractal dimensions were suggested in fractal dimension evaluation of self similitude structure assembly and their exact formulae provided. The difference between statistical dimension and true fractal dimension was revealed from their calculated results. Both the principle and the method for true fractal dimension evaluation of self similitude structure assembly, as well as the program calculating the ratio of parameter x and the false (and true) fractal dimension, were expounded. Moreover, the operation procedure for true fractal dimension evaluation of self similitude structure assembly was demonstrated by analysis of Koch curve island analysis.