A Static Moment for a Polygon and Its Applications

Authors

  • Edwin Koźniewski Białystok University of Technology, Białystok, Poland, Białystok

DOI:

https://doi.org/10.25206/2588-0373-2018-2-1-9-16

Keywords:

roof geometry, straight skeleton, Voronoi diagram for polygon, static moment with respect to the border of a polygon, earthwork, GIS navigation system

Abstract

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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Author Biography

Edwin Koźniewski, Białystok University of Technology, Białystok, Poland, Białystok

Doctor of Technical Science, Associate Professor.

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Abstract views: 8

Published

2018-05-18

How to Cite

Koźniewski Э. (2018). A Static Moment for a Polygon and Its Applications. Omsk Scientific Bulletin. Series «Aviation-Rocket and Power Engineering», 2(1), 9–16. https://doi.org/10.25206/2588-0373-2018-2-1-9-16

Issue

Vol. 2 No. 1 (2018)

Section

Engineering geometry and computer grafics

License

Non-exclusive rights to the article are transferred to the journal in full accordance with the Creative Commons License BY-NC-SA 4.0 «Attribution-NonCommercial-ShareAlike 4.0 Worldwide License (CC BY-NC-SA 4.0»)

Creative Commons License