MULTIFRACTAL MODELING AND SPATIAL POINT-PROCESSES

被引：92

作者：

CHENG, QM ^{[1
]}

AGTERBERG, FP ^{[1
]}

机构：

[1] GEOL SURVEY CANADA,OTTAWA,ON K1A 0E8,CANADA

来源：

MATHEMATICAL GEOLOGY | 1995年 / 27卷 / 07期

关键词：

FRACTALS; MULTIFRACTAL SPECTRUM; POINT PATTERNS; 2ND-ORDER INTENSITY; BOX-COUNTING; CLUSTERING;

D O I：

10.1007/BF02087098

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

The multifractal model can be applied to spatial point processes. It provides new, approximately power-law type, expressions for their second-order intensity and K (r) functions. The box-counting and cluster dimensions are different but mutually interrelated according to multifractal theory. This approach is used to describe the underlying spatial structure of gold mineral occurrences in the Iskut River area, northwestern British Columbia. The box-counting and cluster dimensions for the example are estimated to be 1.335 +/- 0.077 and 1.219 +/- 0.037, respectively. The relatively strong clustering of the gold deposits is reflected by the fact that both values are considerably less than the corresponding Euclidean dimension (= 2).

引用

页码：831 / 845

页数：15