Applications of the Symmetrical Structures of Cassini Ovals
One of the geometric figures that has symmetry properties is the Cassini oval. The Cassini oval is a curve defined as the locus of points in the plane such that the product of the distances to two fixed points is constant. Cassini ovals are named after the astronomer Giovanni Domenico Cassini, who s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/16/3/334 |
| _version_ | 1797239220251656192 |
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| author | Peter Grabusts Oleg Uzhga-Rebrov |
| author_facet | Peter Grabusts Oleg Uzhga-Rebrov |
| author_sort | Peter Grabusts |
| collection | DOAJ |
| description | One of the geometric figures that has symmetry properties is the Cassini oval. The Cassini oval is a curve defined as the locus of points in the plane such that the product of the distances to two fixed points is constant. Cassini ovals are named after the astronomer Giovanni Domenico Cassini, who studied them in 1680. Today, the geometric properties of Cassini ovals are used in many fields: analytical geometry, nuclear physics, radiolocation, and industrial applications. The bistatic radar uses Cassini ovals to detect various targets in radiolocation. Until now, there have been no studies on the clustering capabilities of Cassini ovals. As a novelty, it is hypothesized that clustering possibilities could be used for Cassini ovals. In this article, a study of the capabilities of Cassini ovals in radiolocation was carried out, and their suitability for clustering purposes was shown. |
| first_indexed | 2024-04-24T17:48:04Z |
| format | Article |
| id | doaj.art-2ecbff812d654db3ab362d0721565e33 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-24T17:48:04Z |
| publishDate | 2024-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-2ecbff812d654db3ab362d0721565e332024-03-27T14:05:31ZengMDPI AGSymmetry2073-89942024-03-0116333410.3390/sym16030334Applications of the Symmetrical Structures of Cassini OvalsPeter Grabusts0Oleg Uzhga-Rebrov1Institute of Engineering, Rezekne Academy of Technologies, LV-4601 Rezekne, LatviaInstitute of Engineering, Rezekne Academy of Technologies, LV-4601 Rezekne, LatviaOne of the geometric figures that has symmetry properties is the Cassini oval. The Cassini oval is a curve defined as the locus of points in the plane such that the product of the distances to two fixed points is constant. Cassini ovals are named after the astronomer Giovanni Domenico Cassini, who studied them in 1680. Today, the geometric properties of Cassini ovals are used in many fields: analytical geometry, nuclear physics, radiolocation, and industrial applications. The bistatic radar uses Cassini ovals to detect various targets in radiolocation. Until now, there have been no studies on the clustering capabilities of Cassini ovals. As a novelty, it is hypothesized that clustering possibilities could be used for Cassini ovals. In this article, a study of the capabilities of Cassini ovals in radiolocation was carried out, and their suitability for clustering purposes was shown.https://www.mdpi.com/2073-8994/16/3/334Cassini ovalsclusteringK-meansbistatic radarsymmetry |
| spellingShingle | Peter Grabusts Oleg Uzhga-Rebrov Applications of the Symmetrical Structures of Cassini Ovals Symmetry Cassini ovals clustering K-means bistatic radar symmetry |
| title | Applications of the Symmetrical Structures of Cassini Ovals |
| title_full | Applications of the Symmetrical Structures of Cassini Ovals |
| title_fullStr | Applications of the Symmetrical Structures of Cassini Ovals |
| title_full_unstemmed | Applications of the Symmetrical Structures of Cassini Ovals |
| title_short | Applications of the Symmetrical Structures of Cassini Ovals |
| title_sort | applications of the symmetrical structures of cassini ovals |
| topic | Cassini ovals clustering K-means bistatic radar symmetry |
| url | https://www.mdpi.com/2073-8994/16/3/334 |
| work_keys_str_mv | AT petergrabusts applicationsofthesymmetricalstructuresofcassiniovals AT oleguzhgarebrov applicationsofthesymmetricalstructuresofcassiniovals |