缺陷
分形
分形维数
统计物理学
物理
集合(抽象数据类型)
缩放比例
箱式计数
分形景观
关系(数据库)
功能(生物学)
网络的分形维数
维数(图论)
分形分析
纯数学
数学分析
几何学
数学
计算机科学
数据挖掘
生物
进化生物学
程序设计语言
作者
C. Allain,Michel Cloître
出处
期刊:Physical Review A
[American Physical Society]
日期:1991-09-01
卷期号:44 (6): 3552-3558
被引量:542
标识
DOI:10.1103/physreva.44.3552
摘要
The notion of lacunarity makes it possible to distinguish sets that have the same fractal dimension but different textures. In this paper we define the lacunarity of a set from the fluctuations of the mass distribution function, which is found using an algorithm we call the gliding-box method. We apply this definition to characterize the geometry of random and deterministic fractal sets. In the case of self-similar sets, lacunarity follows particular scaling properties that are established and discussed in relation to other geometrical analyses.
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