关键词: 分形； 盒维数； 规范维数； 校正维数

Abstract:

Compared with similar dimensions, two approximate box dimensions were defined, normalizing the estimator of box dimension, we defined
 the normal dimension with accuracy, and proved its convergence to the box dimension. Hence, the method of preestimating and correcting provides the correction dimension with accuracy. For the two dimensions, the computational examples illustrate the rationality and fesibility.

Key words: fractal, box dimension, normal dimension, correction dimension