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盒维数的不确定性与迭代分形维数的算法
引用本文:杨飞. 盒维数的不确定性与迭代分形维数的算法[J]. 重庆文理学院学报(自然科学版), 2006, 5(5): 68-71
作者姓名:杨飞
作者单位:重庆南开中学,重庆,沙坪坝,400030
摘    要:盒维数是分形几何中的一个重要概念,“数盒子法”广泛用于应用学科.盒维数具有不确定性,对于迭代分形对象,其迭代方法与分维数、盒维数存在直接联系。从迭代方法中构造数列,通过数列求得的盒维数.正好与分维数相等。

关 键 词:分形几何  盒维数  不确定性  分维数  迭代分形对象
文章编号:1673-8012(2006)05-0068-04
收稿时间:2006-08-28
修稿时间:2006-08-28

The Uncertainty of Box-counting and Counting of Iterative Fractal
YANG Fei. The Uncertainty of Box-counting and Counting of Iterative Fractal[J]. Journal of Chongqing University of Arts and Scie, 2006, 5(5): 68-71
Authors:YANG Fei
Abstract:Box - counting is an important definition in fractal geometry, and box- counting method is widely used in applied subjects. We discover that box - counting has the characteristic of uncertainty. As for iterative fractal object, iterative method directly affeetes fractal dimension and box - counting. If we build sequence of number with iterative method and we will get box - counting with sequence of number, which is exactly equtl to fractal dimension.
Keywords:fractal geometry    box - counting   uncertainty    fractal dimension    iterative fractal object
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