ON THE PRACTICE OF ESTIMATING FRACTAL DIMENSION

被引：92

作者：

CARR, JR ^{[1
]}

BENZER, WB ^{[1
]}

机构：

[1] RITTENHOUSE ZEMAN & ASSOCIATES,BELLEVUE,WA 98005

来源：

MATHEMATICAL GEOLOGY | 1991年 / 23卷 / 07期

关键词：

FRACTALS; FRACTAL DIMENSION; HAUSDORFF-BESICOVITCH DIMENSION; POWER SPECTRA; DIVIDER METHOD; VARIOGRAMS;

D O I：

10.1007/BF02066734

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

Coastlines epitomize deterministic fractals and fractal (Hausdorff-Besicovitch) dimensions; a divider [compass] method can be used to calculate fractal dimensions for these features. Noise models are used to develop another notion of fractals, a stochastic one. Spectral and variogram methods are used to estimate fractal dimensions for stochastic fractals. When estimating "fractal dimension," the objective of the analysis must be consistent with the method chosen for fractal dimension calculation. Spectral and variogram methods yield fractal dimensions which indicate the similarity of the feature under study to noise (e.g., Brownian noise). A divider measurement method yields a fractal dimension which is a measure of complexity of shape.

引用

页码：945 / 958

页数：14