A Static Moment for a Polygon and Its Applications
The application of geometry of roofs (straight skeletons) and, related to that, Voronoi diagrams for polygons to solve optimization tasks such as determination of the routes of surveys of regions with minimal static moments with respect to the sides of polygons is discussed. A special interpretati...
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| Format: | Article |
| Language: | English |
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Omsk State Technical University, Federal State Autonomous Educational Institution of Higher Education
2018-05-01
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| Series: | Омский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение" |
| Subjects: | |
| Online Access: | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2018/%D0%A2.%202,%20%E2%84%96%201/9-16%20%D0%AD.%20%D0%9A%D0%BE%D0%B7%D0%BD%D0%B5%D0%B2%D1%81%D0%BA%D0%B8.pdf |
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| _version_ | 1832571078461882368 |
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| author | E. Koźniewski |
| author_facet | E. Koźniewski |
| author_sort | E. Koźniewski |
| collection | DOAJ |
| description | The application of geometry of roofs (straight skeletons) and, related to that, Voronoi diagrams for polygons
to solve optimization tasks such as determination of the routes of surveys of regions with minimal static
moments with respect to the sides of polygons is discussed. A special interpretation of the notion of static
moment with respect to the segment of line and a polygon with respect to the border is explained and an
appropriate theorem is formulated and proved. Examples of potential employment of these notions have
been indicated |
| format | Article |
| id | doaj-art-1b9d444151e44f149b58ff0ef29ff492 |
| institution | Kabale University |
| issn | 2588-0373 2587-764X |
| language | English |
| publishDate | 2018-05-01 |
| publisher | Omsk State Technical University, Federal State Autonomous Educational Institution of Higher Education |
| record_format | Article |
| series | Омский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение" |
| spelling | doaj-art-1b9d444151e44f149b58ff0ef29ff4922025-02-02T13:10:32ZengOmsk State Technical University, Federal State Autonomous Educational Institution of Higher EducationОмский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение"2588-03732587-764X2018-05-012191610.25206/2588-0373-2018-2-1-9-16A Static Moment for a Polygon and Its ApplicationsE. Koźniewski0Białystok University of Technology, BiałystokThe application of geometry of roofs (straight skeletons) and, related to that, Voronoi diagrams for polygons to solve optimization tasks such as determination of the routes of surveys of regions with minimal static moments with respect to the sides of polygons is discussed. A special interpretation of the notion of static moment with respect to the segment of line and a polygon with respect to the border is explained and an appropriate theorem is formulated and proved. Examples of potential employment of these notions have been indicatedhttps://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2018/%D0%A2.%202,%20%E2%84%96%201/9-16%20%D0%AD.%20%D0%9A%D0%BE%D0%B7%D0%BD%D0%B5%D0%B2%D1%81%D0%BA%D0%B8.pdfroof geometrystraight skeletonvoronoi diagram for polygonstatic moment with respect to the border of a polygonearthworkgis navigation system |
| spellingShingle | E. Koźniewski A Static Moment for a Polygon and Its Applications Омский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение" roof geometry straight skeleton voronoi diagram for polygon static moment with respect to the border of a polygon earthwork gis navigation system |
| title | A Static Moment for a Polygon and Its Applications |
| title_full | A Static Moment for a Polygon and Its Applications |
| title_fullStr | A Static Moment for a Polygon and Its Applications |
| title_full_unstemmed | A Static Moment for a Polygon and Its Applications |
| title_short | A Static Moment for a Polygon and Its Applications |
| title_sort | static moment for a polygon and its applications |
| topic | roof geometry straight skeleton voronoi diagram for polygon static moment with respect to the border of a polygon earthwork gis navigation system |
| url | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2018/%D0%A2.%202,%20%E2%84%96%201/9-16%20%D0%AD.%20%D0%9A%D0%BE%D0%B7%D0%BD%D0%B5%D0%B2%D1%81%D0%BA%D0%B8.pdf |
| work_keys_str_mv | AT ekozniewski astaticmomentforapolygonanditsapplications AT ekozniewski staticmomentforapolygonanditsapplications |