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Nanoparticle shapes: Quantification by elongation, convexity and circularity measures

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2019
bitstream_21241.pdf (917.1Kb)
Authors
Kopanja, Lazar
Lončar, Boris B.
Žunić, Dragiša
Tadić, Marin
Article (Published version)
,
© 2019 Lazar Kopanja et al., published by Sciendo
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Abstract
The goal of the nanoparticle synthesis is, first of all, the production of nanoparticles that will be more similar in size and shape. This is very important for the possibility of studying and applying nanomaterials because of their characteristics that are very sensitive to size and shape such as, for example, magnetic properties. In this paper, we propose the shape analysis of the nanoparticles using three shape descriptors – elongation, convexity and circularity. Experimental results were obtained by using TEM images of hematite nanoparticles that were, first of all, subjected to segmentation in order to obtain isolated nanoparticles, and then the values of elongation, convexity and circularity were measured. Convexity C x ( S ) is regarded as the ratio between shape’s area and area of the its convex hull. The convexity measure defines the degree to which a shape differs from a convex shape while the circularity measure defines the degree to which a shape differs from an ideal circl...e. The range of convexity and circularity values is (0, 1], while the range of elongation values is [1, ∞). The circle has lowest elongation (ε = 1), while it has biggest convexity and circularity values ( C x = 1; C = 1). The measures ε( S ), C x ( S ), C ( S ) proposed and used in the experiment have the few desirable properties and give intuitively expected results. None of the measures is good enough to describe all the shapes, and therefore it is suggested to use a variety of measures so that the shapes can be described better and then classify and control during the synthesis process.

Keywords:
shape analysis / nanoparticles / elongation / shape descriptors / circularity / convexity
Source:
Journal of Electrical Engineering, 2019, 70, 7, 44-50
Funding / projects:
  • Magnetic and radionuclide labeled nanostructured materials for medical applications (RS-45015)
  • Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education (RS-44006)
  • Physical and functional effects of radiation interaction with electrotechnical and biological systems (RS-171007)
  • Serbia-Slovakia bilateral project 2017-2018 [SK-SR-2016-0055]
  • Serbia-Belarus 2018-2019 [451-03-003036/2017-09/06]

DOI: 10.2478/jee-2019-0040

ISSN: 1335-3632

WoS: 000489301300005

Scopus: 2-s2.0-85073469997
[ Google Scholar ]
4
3
URI
https://vinar.vin.bg.ac.rs/handle/123456789/8590
Collections
  • Radovi istraživača
Institution/Community
Vinča
TY  - JOUR
AU  - Kopanja, Lazar
AU  - Lončar, Boris B.
AU  - Žunić, Dragiša
AU  - Tadić, Marin
PY  - 2019
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8590
AB  - The goal of the nanoparticle synthesis is, first of all, the production of nanoparticles that will be more similar in size and shape. This is very important for the possibility of studying and applying nanomaterials because of their characteristics that are very sensitive to size and shape such as, for example, magnetic properties. In this paper, we propose the shape analysis of the nanoparticles using three shape descriptors – elongation, convexity and circularity. Experimental results were obtained by using TEM images of hematite nanoparticles that were, first of all, subjected to segmentation in order to obtain isolated nanoparticles, and then the values of elongation, convexity and circularity were measured. Convexity C x ( S ) is regarded as the ratio between shape’s area and area of the its convex hull. The convexity measure defines the degree to which a shape differs from a convex shape while the circularity measure defines the degree to which a shape differs from an ideal circle. The range of convexity and circularity values is (0, 1], while the range of elongation values is [1, ∞). The circle has lowest elongation (ε = 1), while it has biggest convexity and circularity values ( C x = 1; C = 1). The measures ε( S ), C x ( S ), C ( S ) proposed and used in the experiment have the few desirable properties and give intuitively expected results. None of the measures is good enough to describe all the shapes, and therefore it is suggested to use a variety of measures so that the shapes can be described better and then classify and control during the synthesis process.
T2  - Journal of Electrical Engineering
T1  - Nanoparticle shapes: Quantification by elongation, convexity and circularity measures
VL  - 70
IS  - 7
SP  - 44
EP  - 50
DO  - 10.2478/jee-2019-0040
ER  - 
@article{
author = "Kopanja, Lazar and Lončar, Boris B. and Žunić, Dragiša and Tadić, Marin",
year = "2019",
abstract = "The goal of the nanoparticle synthesis is, first of all, the production of nanoparticles that will be more similar in size and shape. This is very important for the possibility of studying and applying nanomaterials because of their characteristics that are very sensitive to size and shape such as, for example, magnetic properties. In this paper, we propose the shape analysis of the nanoparticles using three shape descriptors – elongation, convexity and circularity. Experimental results were obtained by using TEM images of hematite nanoparticles that were, first of all, subjected to segmentation in order to obtain isolated nanoparticles, and then the values of elongation, convexity and circularity were measured. Convexity C x ( S ) is regarded as the ratio between shape’s area and area of the its convex hull. The convexity measure defines the degree to which a shape differs from a convex shape while the circularity measure defines the degree to which a shape differs from an ideal circle. The range of convexity and circularity values is (0, 1], while the range of elongation values is [1, ∞). The circle has lowest elongation (ε = 1), while it has biggest convexity and circularity values ( C x = 1; C = 1). The measures ε( S ), C x ( S ), C ( S ) proposed and used in the experiment have the few desirable properties and give intuitively expected results. None of the measures is good enough to describe all the shapes, and therefore it is suggested to use a variety of measures so that the shapes can be described better and then classify and control during the synthesis process.",
journal = "Journal of Electrical Engineering",
title = "Nanoparticle shapes: Quantification by elongation, convexity and circularity measures",
volume = "70",
number = "7",
pages = "44-50",
doi = "10.2478/jee-2019-0040"
}
Kopanja, L., Lončar, B. B., Žunić, D.,& Tadić, M.. (2019). Nanoparticle shapes: Quantification by elongation, convexity and circularity measures. in Journal of Electrical Engineering, 70(7), 44-50.
https://doi.org/10.2478/jee-2019-0040
Kopanja L, Lončar BB, Žunić D, Tadić M. Nanoparticle shapes: Quantification by elongation, convexity and circularity measures. in Journal of Electrical Engineering. 2019;70(7):44-50.
doi:10.2478/jee-2019-0040 .
Kopanja, Lazar, Lončar, Boris B., Žunić, Dragiša, Tadić, Marin, "Nanoparticle shapes: Quantification by elongation, convexity and circularity measures" in Journal of Electrical Engineering, 70, no. 7 (2019):44-50,
https://doi.org/10.2478/jee-2019-0040 . .

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