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

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Entropies in investigation of dynamical systems and their application to digital image analysis. / Ampilova, Natalia ; Soloviev, Igor .

In: Journal of Measurements in Engineering, Vol. 6, No. 2, 30.06.2018, p. 107-118.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{f2e1ae05ca74475b9681ddc92ce2886c,

title = "Entropies in investigation of dynamical systems and their application to digital image analysis",

abstract = "We discuss entropy characteristics used in various research techniques for investigation of complex 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, R{\'e}nyi 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.",

keywords = "dynamical systems, phase portrait, symbolic dynamics, topological entropy, multifractal spectrum, weighted entropy, image analysis, dynamical systems, phase portrait, Symbolic dynamics, topological entropy, multifractal spectrum, weighted entropy, image analysis",

author = "Natalia Ampilova and Igor Soloviev",

year = "2018",

month = jun,

day = "30",

language = "English",

volume = "6",

pages = "107--118",

journal = "Journal of Measurements in Engineering",

issn = "2335-2124",

publisher = "JVE International Ltd.",

number = "2",

}

RIS

TY - JOUR

T1 - Entropies in investigation of dynamical systems and their application to digital image analysis

AU - Ampilova, Natalia

AU - Soloviev, Igor

PY - 2018/6/30

Y1 - 2018/6/30

N2 - We discuss entropy characteristics used in various research techniques for investigation of complex 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, Rényi 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.

AB - We discuss entropy characteristics used in various research techniques for investigation of complex 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, Rényi 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.

KW - dynamical systems, phase portrait, symbolic dynamics, topological entropy, multifractal spectrum, weighted entropy, image analysis

KW - dynamical systems

KW - phase portrait

KW - Symbolic dynamics

KW - topological entropy

KW - multifractal spectrum

KW - weighted entropy

KW - image analysis

M3 - Article

VL - 6

SP - 107

EP - 118

JO - Journal of Measurements in Engineering

JF - Journal of Measurements in Engineering

SN - 2335-2124

IS - 2

ER -

ID: 28444585