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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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 |
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| ISSN: | 2588-0373 2587-764X |