CHARACTERIZING THE LACUNARITY OF RANDOM AND DETERMINISTIC FRACTAL SETS
CHARACTERIZING THE LACUNARITY OF RANDOM AND DETERMINISTIC FRACTAL SETS
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DOI：
10.1103/physreva.44.3552
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发表时间：
1991-09-15
影响因子：
2.9
通讯作者：
CLOITRE, M
中科院分区：
文献类型：
--
作者：
ALLAIN, C;CLOITRE, M
空隙度的概念使得区分具有相同分形维数但不同纹理的集合成为可能。在本文中，我们定义了一个集的质量分布函数的波动，这是发现使用一种算法，我们称之为滑动框方法的空缺。我们应用这个定义来描述随机和确定性分形集的几何特征。在自相似集的情况下，空隙度遵循特定的标度性质，这些标度性质是在其他几何分析中建立和讨论的。
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.