Application of fractal analysis methods to images obtained by crystallization modified by an additive

Natalia Ampilova, Igor Soloviev, Jean-Georges Barth

Research output

Abstract

The fractal and multifractal methods are now widely used for analysis and classification of digital images having complex structure. We present the results of the application of such methods to the images of crystallograms obtained by crystallization with additives. This technique was developed for studying images of blood crystals, and now finds increasing use in the analysis of medicines, checking food and soil quality. In this work we study images of crystallograms of various milk dilutions and crystallograms obtained with bean leave extracts. The results show that the proposed mathematical methods seem to be rather perspective both in comparing images of different classes and in obtaining classifying signs.
Original languageEnglish
Article number20436
Pages (from-to)48-57
Number of pages10
JournalJournal of Measurements in Engineering
Volume7
Issue number2
DOIs
Publication statusPublished - 30 Jun 2019

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Fractals
Dilution
Medicine
Blood
Crystallization
Soils
Crystals
Milk

Scopus subject areas

  • Computer Science(all)

Cite this

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abstract = "The fractal and multifractal methods are now widely used for analysis and classification of digital images having complex structure. We present the results of the application of such methods to the images of crystallograms obtained by crystallization with additives. This technique was developed for studying images of blood crystals, and now finds increasing use in the analysis of medicines, checking food and soil quality. In this work we study images of crystallograms of various milk dilutions and crystallograms obtained with bean leave extracts. The results show that the proposed mathematical methods seem to be rather perspective both in comparing images of different classes and in obtaining classifying signs.",
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AU - Soloviev, Igor

AU - Barth, Jean-Georges

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AB - The fractal and multifractal methods are now widely used for analysis and classification of digital images having complex structure. We present the results of the application of such methods to the images of crystallograms obtained by crystallization with additives. This technique was developed for studying images of blood crystals, and now finds increasing use in the analysis of medicines, checking food and soil quality. In this work we study images of crystallograms of various milk dilutions and crystallograms obtained with bean leave extracts. The results show that the proposed mathematical methods seem to be rather perspective both in comparing images of different classes and in obtaining classifying signs.

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KW - multifractal spectrum

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