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On the Classification of Fractal and Non-Fractal Objects in Two-Dimensional Space. / Pustovoit, P. M.; Yashina, E. G.; Pshenichnyi, K. A.; Grigoriev, S. V.

в: Journal of Surface Investigation, Том 14, № 6, 11.2020, стр. 1232-1239.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Pustovoit, PM, Yashina, EG, Pshenichnyi, KA & Grigoriev, SV 2020, 'On the Classification of Fractal and Non-Fractal Objects in Two-Dimensional Space', Journal of Surface Investigation, Том. 14, № 6, стр. 1232-1239. https://doi.org/10.1134/S1027451020060415

APA

Pustovoit, P. M., Yashina, E. G., Pshenichnyi, K. A., & Grigoriev, S. V. (2020). On the Classification of Fractal and Non-Fractal Objects in Two-Dimensional Space. Journal of Surface Investigation, 14(6), 1232-1239. https://doi.org/10.1134/S1027451020060415

Vancouver

Pustovoit PM, Yashina EG, Pshenichnyi KA, Grigoriev SV. On the Classification of Fractal and Non-Fractal Objects in Two-Dimensional Space. Journal of Surface Investigation. 2020 Нояб.;14(6):1232-1239. https://doi.org/10.1134/S1027451020060415

Author

Pustovoit, P. M. ; Yashina, E. G. ; Pshenichnyi, K. A. ; Grigoriev, S. V. / On the Classification of Fractal and Non-Fractal Objects in Two-Dimensional Space. в: Journal of Surface Investigation. 2020 ; Том 14, № 6. стр. 1232-1239.

BibTeX

@article{548636a32ef84a4e9d196b92c83bf5ac,
title = "On the Classification of Fractal and Non-Fractal Objects in Two-Dimensional Space",
abstract = "Abstract: The method of numerical Fourier analysis is used to investigate the fractal properties of 2D objects with micrometer–centimeter sizes. This numerical method simulates the small-angle light scattering experiment. Different geometric 2D-regular fractals, such as the Sierpinski carpet, Sierpinski triangle, Koch snowflake, and Vishek snowflake, are studied. We can divide 2D fractals, by analogy with 3D fractals, into “plane” and “boundary” fractals with fractal dimensions lying in the intervals from 1 to 2 and from 2 to 3, respectively. For an object with a smooth boundary, i.e., a circle, the model small-angle scattering curve decreases according to the power law q–3, where q is the momentum transferred.",
keywords = "2D space, : fractals, Fourier analysis, small-angle light scattering",
author = "Pustovoit, {P. M.} and Yashina, {E. G.} and Pshenichnyi, {K. A.} and Grigoriev, {S. V.}",
note = "Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd.",
year = "2020",
month = nov,
doi = "10.1134/S1027451020060415",
language = "English",
volume = "14",
pages = "1232--1239",
journal = "ПОВЕРХНОСТЬ. РЕНТГЕНОВСКИЕ, СИНХРОТРОННЫЕ И НЕЙТРОННЫЕ ИССЛЕДОВАНИЯ",
issn = "1027-4510",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "6",

}

RIS

TY - JOUR

T1 - On the Classification of Fractal and Non-Fractal Objects in Two-Dimensional Space

AU - Pustovoit, P. M.

AU - Yashina, E. G.

AU - Pshenichnyi, K. A.

AU - Grigoriev, S. V.

N1 - Publisher Copyright: © 2020, Pleiades Publishing, Ltd.

PY - 2020/11

Y1 - 2020/11

N2 - Abstract: The method of numerical Fourier analysis is used to investigate the fractal properties of 2D objects with micrometer–centimeter sizes. This numerical method simulates the small-angle light scattering experiment. Different geometric 2D-regular fractals, such as the Sierpinski carpet, Sierpinski triangle, Koch snowflake, and Vishek snowflake, are studied. We can divide 2D fractals, by analogy with 3D fractals, into “plane” and “boundary” fractals with fractal dimensions lying in the intervals from 1 to 2 and from 2 to 3, respectively. For an object with a smooth boundary, i.e., a circle, the model small-angle scattering curve decreases according to the power law q–3, where q is the momentum transferred.

AB - Abstract: The method of numerical Fourier analysis is used to investigate the fractal properties of 2D objects with micrometer–centimeter sizes. This numerical method simulates the small-angle light scattering experiment. Different geometric 2D-regular fractals, such as the Sierpinski carpet, Sierpinski triangle, Koch snowflake, and Vishek snowflake, are studied. We can divide 2D fractals, by analogy with 3D fractals, into “plane” and “boundary” fractals with fractal dimensions lying in the intervals from 1 to 2 and from 2 to 3, respectively. For an object with a smooth boundary, i.e., a circle, the model small-angle scattering curve decreases according to the power law q–3, where q is the momentum transferred.

KW - 2D space

KW - : fractals

KW - Fourier analysis

KW - small-angle light scattering

UR - http://www.scopus.com/inward/record.url?scp=85098287293&partnerID=8YFLogxK

U2 - 10.1134/S1027451020060415

DO - 10.1134/S1027451020060415

M3 - Article

AN - SCOPUS:85098287293

VL - 14

SP - 1232

EP - 1239

JO - ПОВЕРХНОСТЬ. РЕНТГЕНОВСКИЕ, СИНХРОТРОННЫЕ И НЕЙТРОННЫЕ ИССЛЕДОВАНИЯ

JF - ПОВЕРХНОСТЬ. РЕНТГЕНОВСКИЕ, СИНХРОТРОННЫЕ И НЕЙТРОННЫЕ ИССЛЕДОВАНИЯ

SN - 1027-4510

IS - 6

ER -

ID: 86426707