Application of the Scale-Space Method in Studying Self-Organizing Structures

Алпатов, А. В.; Rybina, N. V.

doi:10.1134/s1027451019030030

Cited by 4 publications

(3 citation statements)

References 7 publications

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“…𝑁 𝑠 𝑤=1 𝑀 𝑠 𝑢=1 (7) For wide ranges of values s, the dependence is valid F(s)~s α . In general, by plotting the dependence of F on s on a double logarithmic scale, a scaling index characterizing the type of correlations in the structure can be calculated from the tangent of the slope angle, and a correlation vector showing the scale of manifestation of these correlations can be calculated from the inflection of the fluctuation function.…”

Section: D Dfa Methodsmentioning

confidence: 99%

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Study of Correlations in the Relief of Complex Surfaces Using the Example of Amorphous Hydrogenated Silicon

Rybina

2024

Eurasian phys. tech. j.

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Abstract. The results of a study of correlations in the surface relief of amorphous hydrogenated silicon using the methods of average mutual information andtwo-dimensional detrended fluctuation analysis by identifying its structural components using the scale-space technique are presented. The experimental samples were model and real surfaces of amorphous hydrogenated silicon. The model surface was formed bysuperimposing the surfaces "Stochastic fractal", "Particles" and "Gaussian noise". The values of the scaling index were obtained from the dependences of the fluctuation function on the scale, as well as the values of the average mutual information and themaximum mutual information were calculated. A comparative analysis of the correlation dependencies of the model and the real surfaces of amorphous hydrogenated silicon has shown that the model surface "Particles" is closest to the surface structure of theexperimental sample in terms of its characteristics. It was found that particles with dimensions of 65±10 nm are present in the surface structure of the experimental sample.

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Section: D Dfa Methodsmentioning

confidence: 99%

“…The 2D DFA method was descripted in [7]. For the height matrix H(x,y) the cumulative surface Y(x,y) is calculated:…”

Section: D Dfa Methodsmentioning

confidence: 99%

Study of Correlations in the Relief of Complex Surfaces Using the Example of Amorphous Hydrogenated Silicon

Rybina

2024

Eurasian phys. tech. j.

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“…There are cases, when the investigated structure has a lot of harmonic components, and it is difficult to determine the breakpoints on the fluctuation -spatial scale dependence due to their merging. For this case, a technique for studying self-organizing structures on the basis of the scale space method (scale-Space DFA [19]) was developed. The term "scale-space" was introduced by A.P.…”

Section: Methods For Investigating Structural Features In Solid-state...mentioning

confidence: 99%

Determination of Surface Structural Complexity of Solid-State Materials

Rybina

Алпатов

Rybin

et al. 2022

Proceedings of the 32nd International Conference on Computer Graphics and Vision

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In this paper we analyzed methods of investigating structure features in solid-state materials and developed a new algorithm for determining the surface structural complexity of these materials based on the two-dimensional detrended fluctuation analysis and the scale-space analysis. It is proposed to evaluate the surface structural complexity by calculating tangent of the angle of the fluctuation – spatial scale function and number of breakpoints on the fluctuation – spatial scale function. The developed algorithm was tested on the surface image of the Si layer implanted by Ag<sup>+<?sup> ions, subjected to the pulsed laser annealing. We found that investigated surface belongs to the type of surfaces with a high structural complexity. It was also shown that the scaling index – smoothing coefficient (scale) dependence can be used to study the dynamics of changes in the correlation properties of the surface. Knowledge about surface structural complexity of solid-state materials can be used to determine the material functional purpose in different fields of science.

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