New Methods for Estimating the Dimension Fractal Introducing the Artificial Intelligence

被引：0
|
作者：
Zerroug, A. [1 ]
Schoevaert-Brossault, D. [2 ]
Rebiai, S. [3 ]
机构：
[1] Univ Med Khid, Dept Math, Biskra, Algeria
[2] Hop St Louis, Inst Hematol, Lab Image Anal Cellular Pathol, Paris, France
[3] Univ Batna, Dept Math, Batna, Algeria
来源：
ACTA APPLICANDAE MATHEMATICAE | 2010年 / 109卷 / 03期
关键词：
Adjustment tests; Markov fields; Fractal dimension; Stereological simulation;
D O I：
10.1007/s10440-008-9358-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Methods provided actually for estimating the fractal dimension (especially methods of Richardson, Minkowski, Weibel and Flook) differ only by the way which is how to recover the fractal subject previously studied. The concept of optimal recovery is not found by these methods but in fact, the more we minimize this tool the more it gets close to the theoretical dimension. Therefore, we develop a new concept which incorporates artificial intelligence, consequentially the concept of optimality is put forward.
引用
收藏
页码：1043 / 1051
页数：9
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