Nanoparticle shapes: Quantification by elongation, convexity and circularity measures
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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 / convexitySource:
Journal of Electrical Engineering, 2019, 70, 7, 44-50Funding / projects:
- Magnetic and radionuclide labeled nanostructured materials for medical applications (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-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-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)
- Physical and functional effects of radiation interaction with electrotechnical and biological systems (RS-MESTD-Basic Research (BR or ON)-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
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Tehnološko-metalurški fakultetTY - JOUR AU - Kopanja, Lazar AU - Lončar, Boris B. AU - Žunić, Dragiša AU - Tadić, Marin PY - 2019 UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/5902 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 EP - 50 IS - 7 SP - 44 VL - 70 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", pages = "50-44", number = "7", volume = "70", 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 . .