CHARACTERIZING THE LACUNARITY OF RANDOM AND DETERMINISTIC FRACTAL SETS

被引：428

作者：

ALLAIN, C ^{[1
]}

CLOITRE, M ^{[1
]}

机构：

[1] ECOLE SUPER PHYS & CHIM IND, PHYS & MECAN MILIEUX HETEROGENES LAB, F-75231 PARIS 05, FRANCE

来源：

PHYSICAL REVIEW A | 1991年 / 44卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.44.3552

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

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.

引用

页码：3552 / 3558

页数：7

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