Fractal analysis - a surrogate technique for material characterization

Swapna, M. S.; Sankararaman, S.

doi:10.17586/2220-8054-2017-8-6-809-815

Cited by 15 publications

(13 citation statements)

References 14 publications

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“…The number (N(r)) of boxes containing the regions of the image is proportional to r-D, where D denotes FD. From the logarithmic relation we get, [2,3,15,17]…”

Section: Box-counting and Power Spectral Methodsmentioning

confidence: 99%

“…The potential of fractals in the study of morphology of highly complex and irregular objects enables its application in the nano-world also. Literature reports [12][13][14][15][16][17] the use of fractal geometry in the morphological, optical, thermoelectric characterization of nanostructured materials where size and morphology play an important role.…”

Section: Introductionmentioning

confidence: 99%

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Untitled

2019

OABB

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We live in a world of high complexity in all means. The present article is an attempt to elucidate the potential of fractal analysis in understanding and quantifying the complexity. Of several methods of fractal analysis, we have used only the box counting and power spectral methods for explaining the potential of the technique. The application of fractal analysis in bio-nanosystems, thin films, are forensic science are exemplified though our own work.

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“…The number (N(r)) of boxes containing the regions of the image is proportional to r-D, where D denotes FD. From the logarithmic relation we get, [2,3,15,17]…”

Section: Box-counting and Power Spectral Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Untitled

2019

OABB

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“…Through this paper, we propose a surrogate method for understanding and analyzing the replication of Severe Acute Respiratory Syndrome coronavirus -SARS CoV-2, employing the principles of fractal analysis and inertia moment (IM) estimation. From the exploration of images through IM and fractal signature, displayed by an object or process, its evolution kinetics can be studied [3][4][5][6]. Today, image analysis has emerged as a powerful tool of medical diagnosis [6][7][8][9] apart from is technological applications [10].…”

Section: Introductionmentioning

confidence: 99%

Fractal and inertia moment analysis of SARS CoV-2 proliferation through replication

Raj

Sreejyothi

Swapna

2020

Preprint

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The present work proposes a surrogate method for understanding and analyzing the replication of SARS CoV-2 through fractal and inertia moment (IM) analysis of cell culture images at different stages. The fractal analysis of images of cell culture, calculated by the box-counting and power spectral density methods, reflect the stages of virus infection, leading to the replication of the virus RNA and damaging the host cell. The linear increase of IM value reveals not only the proliferation of SARS CoV-2 by replication but also damage to the host cell with time. Thus, the work shows the possibility of fractal analysis and IM measurement for understanding the dynamics of the virus infection.

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“…The high specific surface area of fractal aggregates of different nature explains the possibility of their active participation in condensation processes, sorption processes, chemical reactions of heterogeneous catalysis and inhibition, and other applied areas [13]. Establishing the characteristics of these dependencies allows us to link the indicators of structural and phase nonuniformity in the development of new materials with changes in their physicochemical properties, as well as predicting the effect of the size of the fractal object and the spatial scale of its consideration [14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Fractal characterization of nanostructured materials

Коваленко¹

2019

Nanosystems: Phys. Chem. Math.

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The article presents a developed gradient-pixel method of fractal analysis and results of multifractal characterization of nano-structured materials with a high proportion of non-autonomous phases obtained from micrographs of their surface chips with high-resolution scanning microscopes. Compared with the black and white binarization option, the gray gradation improves the quality of multifractal analysis of nanostructured materials and expands its capabilities, in particular, the selection of multi-scale composite inclusions in the structure of the material and nano-objects on transparent or opaque basis. Establishing the characteristics of these dependencies permits linking the indicators of structural and phase nonuniformity in the development of new materials with changes in their physicochemical properties. In comparison with the fractal dimension of the Sierpinski carpet as a classic regular monofractal computed on the outlined basis, quite accurately coinciding with the known analytical value, the resulting spectrum of fractal dimensions of the synthesized chemical-catalytic and thermoelectric nanomaterials indicates the multifractal nature of their structural and phase nonuniformity according to the Rényi generalized equation.

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Fractal analysis - a surrogate technique for material characterization

Cited by 15 publications

References 14 publications

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Fractal and inertia moment analysis of SARS CoV-2 proliferation through replication

Fractal characterization of nanostructured materials

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