A MODIFIED BOX-COUNTING METHOD

被引：14

作者：

Kyriacos, S. ^{[1
]}

Buczkowski, S. ^{[1
]}

Nekka, F. ^{[1
]}

Cartilier, L. ^{[1
]}

机构：

[1] Univ Montreal, Fac Pharm, Montreal, PQ H3C 3J7, Canada

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 1994年 / 2卷 / 02期

关键词：

D O I：

10.1142/S0218348X94000417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fractal geometry has been widely used to characterize irregular structures. Our interest in applying this concept in biomedical research leads us to the conclusion that there are no standard methods. In order to objectively set parameters involved in the estimation of fractal dimension, a significantly more accurate and efficient box-counting method based on a new algorithm was developed. Measurements of mathematical objects with known fractal dimension was performed using the traditional method and the proposed modification. The latter always yields results with less than 1% difference from the theoretical value, which represents a significant improvement.

引用

页码：321 / 324

页数：4