Control Systems and Computers

https://doi.org/10.15407/csc.2023.04.012

Control Systems and Computers, 2023, Issue 4 (304), pp. 12-18

UDK 514.18

Sydorenko Іu.V., PhD (Eng. sc.), assistant professor, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, 37, Prosp. Peremohy, Kyiv, Ukraine, 03056., ORCID: https://orcid.org/0000-0002-1953-0410, E–mail: suliko3@ukr.net

Horodetskyi M.V., PhD student, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, 37, Prosp.Peremohy, Kyiv, Ukraine, 03056., ORCID: https://orcid.org/0000-0003-4673-3894, E–mail: horodetskyimykola@gmail.com

MODIFICATION OF THE ALGORITHM FOR DEFINING POLYGONAL GEOMETRY OF AN OBJECT FOR POLYPOINT TRANSFORMATIONS

The article discusses a modification of the construction of polygons to display deformation processes using polypoint transformations. The object of polypoint transformations is a straight line, which changes its coefficients when the basis changes. If you need to display a two-dimensional figure, then this figure should be represented as a set of segments, that is, a polygon should be formed. The article presents a method for forming a polygon for further processing using the polycoordinate transformation method.

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Keywords: polycoordinate mappings, polypoint transformations, polygonal geometry, transformation basis, transformation object.

1. Badayev, Yu.I., Doroshenko, Yu.O. (1995). “Varianty politkanynnykh peretvoren”. Prykl. heometriia ta inzh. hrafika. K.: KDTUBA, Vyp. 58, pp. 39-42 (In Ukrainian).
2. Badayev, Yu.I. (2019). Geometric modeling of curvilinear contours of complex objects: navch. posib. / Yu.I. Badayev. K.: Interservis, 240 p.
3. Sidorenko, Yu.V., Shaldenko, O.V. (2020). “Vizualizacziya ob’yektiv politochkovikh peretvoren’ za dopomogoyu interpolyaczijnoyi funkcziyi Gausa”. Suchasni’ problemi modelyuvannya. Vyp.17, pp. 108-114. (In Ukrainian).
4. Sidorenko, Yu.V., Zalevs’ka, O.V. (2020). “Pidvishhennya tochnosti algoritmu politochkovikh peretvoren”. Prikladna geometri’ya ta i’nzhenerna grafi’ka. Vyp.97, pp. 129-135 (In Ukrainian).
5. Sidorenko, Yu.V., Zalevs’ka, O.V., Shaldenko, O.V. (2022). “Obchislennya ploshhi’ peretvorenogo ob’yekta pri poli’tochkovikh peretvorennyakh”. Prikladna geometriya ta inzhenerna grafika. Vyp. 102. Kyiv, pp.65-75 (In Ukrainian).
6. Sidorenko, Yu, Kryvda, O., Leshchynsk, I. (2020). “System of modeling of structural elements of ventilation systems by polycoordinate transformations”. Strength of Materials and Theory of Structures. No 104, pp. 221-228.
   https://doi.org/10.32347/2410-2547.2020.104.221-228
7. Sidorenko, Yu.V., Shaldenko, O.V. (2019). “Vagovi politochkovi peretvorennya pri modelyuvanni mozhlivikh rezultativ plastichnoyi khirurgiyi. Suchasni problemi modelyuvannya. Vyp.15, pp. 151-161 (In Ukrainian).
   https://doi.org/10.33842/2313-125X/2019/15/151/160

Received 12.10.2023