IMPROVEMENT OF THE ALGORITHM FOR SETTING THE CHARACTERISTICS OF INTERPOLATION MONOTONE CURVE

Yuliia Kholodniak; Yevhen Havrylenko; Serhii Halko; Volodymyr Hnatushenko; Olena Suprun; Tatiana Volina; Oleksandr Miroshnyk; Taras Shchur

doi:10.35784/iapgos.5392

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Published: 2023-12-20

DOI: https://doi.org/10.35784/iapgos.5392

Issue Vol. 13 No. 4 (2023)

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Yuliia Kholodniak, Yevhen Havrylenko, Serhii Halko, Volodymyr Hnatushenko, Olena Suprun, Tatiana Volina, Oleksandr Miroshnyk, Taras Shchur

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Authors

Yuliia Kholodniak

yuliya.kholodnyak@tsatu.edu.ua

Dmytro Motornyi Tavria State Agrotechnological University, Department of Computer Sciences

https://orcid.org/0000-0001-8966-9269 (unauthenticated)

Yevhen Havrylenko

yevhen.havrylenko@tsatu.edu.ua

Dmytro Motornyi Tavria State Agrotechnological University, Department of Engineering Mechanics and Computer Design

https://orcid.org/0000-0003-4501-445X (unauthenticated)

Serhii Halko

serhii.halko@tsatu.edu.ua

Dmytro Motornyi Tavria State Agrotechnological University, Department of Electrical Engineering and Electromechanics named after Prof. V.V. Ovharov

https://orcid.org/0000-0001-7991-0311 (unauthenticated)

Volodymyr Hnatushenko

vvgnat@ukr.net

Dnipro University of Technology, Department of Information Technologies and Computer Engineering

https://orcid.org/0000-0003-3140-3788 (unauthenticated)

Olena Suprun

olena.suprun@tsatu.edu.ua

Dmytro Motornyi Tavria State Agrotechnological University, Department of Foreign Languages

https://orcid.org/0000-0003-4369-712X (unauthenticated)

Tatiana Volina

t.n.zaharova@ukr.net

National University of Life and Environmental Sciences of Ukraine, Department of Descriptive Geometry, Computer Graphics and Design

https://orcid.org/0000-0001-8610-2208 (unauthenticated)

Oleksandr Miroshnyk

omiroshnyk@btu.kharkiv.ua

State Biotechnological University, Department of Electricity Supply and Energy Management

https://orcid.org/0000-0002-6144-7573 (unauthenticated)

Taras Shchur

shchurtg@gmail.com

Cyclone Manufacturing Inc, Mississauga, Ontario, Canada

https://orcid.org/0000-0003-0205-032X (unauthenticated)

Abstract

Interpolation of a point series is a necessary step in solving such problems as building graphs de-scribing phenomena or processes, as well as modelling based on a set of reference points of the line frames defining the surface. To obtain an adequate model, the following conditions are imposed upon the interpolating curve: a minimum number of singular points (kinking points, inflection points or points of extreme curvature) and a regular curvature change along the curve. The aim of the work is to develop the algorithm for assigning characteristics (position of normals and curvature value) to the interpolating curve at reference points, at which the curve complies with the specified conditions. The characteristics of the curve are assigned within the area of their possible location. The possibilities of the proposed algorithm are investigated by interpolating the point series assigned to the branches of the parabola. In solving the test example, deviations of the normals and curvature radii from the corresponding characteristics of the original curve have been determined. The values obtained confirm the correctness of the solutions proposed in the paper.

Keywords:

interpolation, monotone curve, singular points, normal, centre of curvature, evolute, curvature radius

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IMPROVEMENT OF THE ALGORITHM FOR SETTING THE CHARACTERISTICS OF INTERPOLATION MONOTONE CURVE. (2023). Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 13(4), 44-50. https://doi.org/10.35784/iapgos.5392

IMPROVEMENT OF THE ALGORITHM FOR SETTING THE CHARACTERISTICS OF INTERPOLATION MONOTONE CURVE

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