Discrete interpolation based on the area of possible location of the evolute of a monotone curve

• Autorzy: Kholodniak Yuliia , Havrylenko Yevhen , Halko Serhii , Suprun Olena , Miroshnyk Oleksandr , Shchur Taras , Korenko Maroš , Tomporowski Andrzej , Kruszelnicka Weronika , Walichnowska Patrycja

Identyfikatory

DOI

10.12913/22998624/206935

• Języki publikacji: EN

Abstrakty

EN

Methods for geometric modelling of curves with a given set of properties interpolating point series of complex configuration form the foundation for developing computer-aided design systems for products bounded by functional surfaces. The key characteristics of the interpolating curve, which ensure the necessary surface properties, include a regular change in curvature values and a minimum number of singular points. The article aims to develop a method for generating a sequence consisting of an arbitrarily large number of specified reference points and assigned intermediate points, which can be interpolated by a monotone curve. The positions of intermediate points are determined based on the pre-assigned properties of the interpolating curve, including the positions of normals and curvature values. The correctness of the solutions proposed in the article is validated through the resolution of a test example. The method developed in the paper is a crucial step towards solving the problem of forming a contour that represents, with given accuracy, a curve with specified properties, interpolating a point series of arbitrary configuration.

Słowa kluczowe

EN

interpolation; monotone curve; intermediate points; normal; curvature centre; evolute; curvature radiuses

• Wydawca: Lublin University of Technology ; Polish Society of Ecological Engineering (PTIE), Branch of PTIE in Lublin
• Czasopismo: Advances in Science and Technology. Research Journal
• Rocznik: 2025
• Tom: Vol. 19, no. 9
• Strony: 281--291
• Opis fizyczny: Bibliogr. 22 poz., tab.

Twórcy

autor

Kholodniak Yuliia

• Department of Computer Sciences, Dmytro Motornyi Tavria State Agrotechnological University, 66 Zhukovskyi Str., 69600 Zaporizhzhia, Ukraine

autor

Havrylenko Yevhen

• Department of Engineering Mechanics and Computer Design, Dmytro Motornyi Tavria State Agrotechnological University, 66 Zhukovskyi Str., 69600 Zaporizhzhia, Ukraine

autor

Halko Serhii

• Department of Electrical Engineering and Electromechanics named after Prof. V.V. Ovharov, Dmytro Motornyi Tavria State Agrotechnological University, 66 Zhukovskyi Str., 69600 Zaporizhzhia, Ukraine

autor

Suprun Olena

• Department of Foreign Languages, Dmytro Motornyi Tavria State Agrotechnological University, 66 Zhukovskyi Str., 69600 Zaporizhzhia, Ukraine

autor

Miroshnyk Oleksandr

• Department of Electricity Supply and Energy Management, State Biotechnological University, 61052 Kharkiv, Ukraine

autor

Shchur Taras

• Department of Agricultural Engineering State Biotechnological University, Kharkiv, Ukraine, Faculty of Transport and Computer Science, WSEI, Lublin, Poland

autor

Korenko Maroš

• Institute of Design and Engineering Technologies, Faculty of Engineering, Slovak University of Agriculture in Nitra, Nitra, Slovakia

autor

Tomporowski Andrzej

• Department of Renewable Energy Sources Engineering and Technical Systems, Faculty of Mechanical Engineering, Bydgoszcz University of Science and Technology, Al. Prof. S. Kaliskiego 7, 85-796 Bydgoszcz, Poland

autor

Kruszelnicka Weronika

• Department of Renewable Energy Sources Engineering and Technical Systems, Faculty of Mechanical Engineering, Bydgoszcz University of Science and Technology, Al. Prof. S. Kaliskiego 7, 85-796 Bydgoszcz, Poland

autor

Walichnowska Patrycja

• Department of Renewable Energy Sources Engineering and Technical Systems, Faculty of Mechanical Engineering, Bydgoszcz University of Science and Technology, Al. Prof. S. Kaliskiego 7, 85-796 Bydgoszcz, Poland

• https://orcid.org/0000-0002-3012-5803

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