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Application of multifractal methods for the analysis of crystal structures. / Soloviev, I. .

16 international conference Communications Electromagnetics and Medical Applications: CEMA22. София : TECHNICAL UNIVERSITY OF SOFIA, 2022. p. 13-17.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Soloviev, I 2022, Application of multifractal methods for the analysis of crystal structures. in 16 international conference Communications Electromagnetics and Medical Applications: CEMA22. TECHNICAL UNIVERSITY OF SOFIA, София, pp. 13-17, 16 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, ELECTROMAGNETICS AND MEDICAL APPLICATIONS, София, Bulgaria, 20/10/22.

APA

Soloviev, I. (2022). Application of multifractal methods for the analysis of crystal structures. In 16 international conference Communications Electromagnetics and Medical Applications: CEMA22 (pp. 13-17). TECHNICAL UNIVERSITY OF SOFIA.

Vancouver

Soloviev I. Application of multifractal methods for the analysis of crystal structures. In 16 international conference Communications Electromagnetics and Medical Applications: CEMA22. София: TECHNICAL UNIVERSITY OF SOFIA. 2022. p. 13-17

Author

Soloviev, I. . / Application of multifractal methods for the analysis of crystal structures. 16 international conference Communications Electromagnetics and Medical Applications: CEMA22. София : TECHNICAL UNIVERSITY OF SOFIA, 2022. pp. 13-17

BibTeX

@inproceedings{74e347f6d51c40279a2b330d7e42a589,
title = "Application of multifractal methods for the analysis of crystal structures",
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 weapply 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 ofnumerical signs. The algorithms for calculation multifractal characteristics are implemented. For each class of images themost appropriate signs were recommended.",
keywords = "multifractal spectra, Renyi spectra, Minkovsky dimension, biocrystalls",
author = "I. Soloviev",
year = "2022",
month = oct,
day = "20",
language = "English",
publisher = " TECHNICAL UNIVERSITY OF SOFIA",
pages = "13--17",
booktitle = "16 international conference Communications Electromagnetics and Medical Applications",
address = "Bulgaria",
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 - GEN

T1 - Application of multifractal methods for the analysis of crystal structures

AU - Soloviev, I.

N1 - Conference code: 16

PY - 2022/10/20

Y1 - 2022/10/20

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 weapply 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 ofnumerical signs. The algorithms for calculation multifractal characteristics are implemented. For each class of images themost 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 weapply 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 ofnumerical signs. The algorithms for calculation multifractal characteristics are implemented. For each class of images themost appropriate signs were recommended.

KW - multifractal spectra

KW - Renyi spectra

KW - Minkovsky dimension

KW - biocrystalls

M3 - Conference contribution

SP - 13

EP - 17

BT - 16 international conference Communications Electromagnetics and Medical Applications

PB - TECHNICAL UNIVERSITY OF SOFIA

CY - София

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

Y2 - 20 October 2022 through 20 October 2022

ER -

ID: 101075398