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APPLICATION OF MULTIFRACTAL METHODS FOR THE ANALYSIS OF CRYSTAL STRUCTURES : (selected from CEMA’22 Conference). / Soloviev, I. .

In: JOURNAL OF APPLIED ELECTROMAGNETISM , Vol. 24, No. 2, 15.12.2022, p. 19-30.

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@article{11b5668f73824dbb8f5e6e60687c8234,
title = "APPLICATION OF MULTIFRACTAL METHODS FOR THE ANALYSIS OF CRYSTAL STRUCTURES: (selected from CEMA{\textquoteright}22 Conference)",
abstract = "We discuss here images with complex structure such as biocrystals, which are very often turn out to be fractals or multifractals. We present 3 types of multifractal spectra, and vector characteristics based on using blanket technic for the surface of grey-level function constructed for a halftone or monochrome image. Such a set of characteristic describes the image structure quite complete. In this work we apply several different fractal and multifractal methods to analyze images. Our experiments make it obvious that for every class of images at least 2 methods allow obtaining reliable separation of numerical signs. The algorithms for calculation multifractal characteristics are implemented. For each class of images the most appropriate signs were recommended.",
keywords = "multifractal spectra, Renyi spectra, crystal structures",
author = "I. Soloviev",
year = "2022",
month = dec,
day = "15",
language = "English",
volume = "24",
pages = "19--30",
journal = "JOURNAL OF APPLIED ELECTROMAGNETISM ",
issn = "1109-1606",
publisher = "National Technical University of Athens (NTUA)",
number = "2",
note = "16 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, ELECTROMAGNETICS AND MEDICAL APPLICATIONS, CEMA{\textquoteright}22 ; Conference date: 20-10-2022 Through 20-10-2022",
url = "http://rcvt.tu-sofia.bg/CEMA/proceedings.html",

}

RIS

TY - JOUR

T1 - APPLICATION OF MULTIFRACTAL METHODS FOR THE ANALYSIS OF CRYSTAL STRUCTURES

T2 - 16 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, ELECTROMAGNETICS AND MEDICAL APPLICATIONS

AU - Soloviev, I.

N1 - Conference code: 16

PY - 2022/12/15

Y1 - 2022/12/15

N2 - We discuss here images with complex structure such as biocrystals, which are very often turn out to be fractals or multifractals. We present 3 types of multifractal spectra, and vector characteristics based on using blanket technic for the surface of grey-level function constructed for a halftone or monochrome image. Such a set of characteristic describes the image structure quite complete. In this work we apply several different fractal and multifractal methods to analyze images. Our experiments make it obvious that for every class of images at least 2 methods allow obtaining reliable separation of numerical signs. The algorithms for calculation multifractal characteristics are implemented. For each class of images the most appropriate signs were recommended.

AB - We discuss here images with complex structure such as biocrystals, which are very often turn out to be fractals or multifractals. We present 3 types of multifractal spectra, and vector characteristics based on using blanket technic for the surface of grey-level function constructed for a halftone or monochrome image. Such a set of characteristic describes the image structure quite complete. In this work we apply several different fractal and multifractal methods to analyze images. Our experiments make it obvious that for every class of images at least 2 methods allow obtaining reliable separation of numerical signs. The algorithms for calculation multifractal characteristics are implemented. For each class of images the most appropriate signs were recommended.

KW - multifractal spectra

KW - Renyi spectra

KW - crystal structures

UR - http://jae.ece.ntua.gr/current.htm

M3 - Conference article

VL - 24

SP - 19

EP - 30

JO - JOURNAL OF APPLIED ELECTROMAGNETISM

JF - JOURNAL OF APPLIED ELECTROMAGNETISM

SN - 1109-1606

IS - 2

Y2 - 20 October 2022 through 20 October 2022

ER -

ID: 101075455