Entropies in investigation of dynamical systems and their application to digital image analysis

被引：3
|
作者：
Ampilova, Natalia [1 ]
Soloviev, Igor [1 ]
机构：
[1] St Petersburg State Univ, St Petersburg, Russia
来源：
JOURNAL OF MEASUREMENTS IN ENGINEERING | 2018年 / 6卷 / 02期
关键词：
dynamical systems; phase portrait; symbolic dynamics; topological entropy; multifractal spectrum; weighted entropy; image analysis;
D O I：
10.21595/jme.2018.19891
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
dynamical systems including symbolic ones. The dynamics of a system may be studied by analyzing the phase portrait of a system obtained as a digital image. Symbolic dynamics methods allow combining entropy of a given dynamical system with the entropy characteristics of its phase portrait. We apply methods of image analysis based on symbolic dynamics, Renyi entropy, fractal and multifractal characteristics to analyze high resolution images having a complex structure. We also describe the results of applications of described methods to images of biomedical preparations.
引用
收藏
页码：107 / 118
页数：12
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