Projective properties of fractal sets

被引：1
|
作者：
Nilsson, Anders
Georgsson, Fredrik [1 ]
机构：
[1] Umea Univ, Dept Math & Math Stat, S-90187 Umea, Sweden
[2] Umea Univ, Dept Comp Sci, S-90187 Umea, Sweden
来源：
CHAOS SOLITONS & FRACTALS | 2008年 / 35卷 / 04期
关键词：
D O I：
10.1016/j.chaos.2006.05.091
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, it is shown that a bound on the box dimension of a set in 3D can be established by estimating the box dimension of the discrete image of the projected set i.e. from an image in 2D. It is possible to impose limits on the Hausdorff dimension of the set by estimating the box dimension of the projected set. Furthermore, it is shown how a realistic X-ray projection can be viewed as equivalent to an ideal projection when regarding estimates of fractal dimensions. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：786 / 794
页数：9
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