Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve

Yevhen Havrylenko; Yuliia Kholodniak; Serhii Halko; Oleksandr Vershkov; Larysa Bondarenko; Olena Suprun; Oleksandr Miroshnyk; Taras Shchur; Mścisław Śrutek; Marta Gackowska

doi:10.3390/e23050493

Entropy (Apr 2021)

Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve

Yevhen Havrylenko,
Yuliia Kholodniak,
Serhii Halko,
Oleksandr Vershkov,
Larysa Bondarenko,
Olena Suprun,
Oleksandr Miroshnyk,
Taras Shchur,
Mścisław Śrutek,
Marta Gackowska

Affiliations

Yevhen Havrylenko: Department of Information Technologies of Design named after V. M. Naidysh, Dmytro Motornyi Tavria State Agrotechnological University, 18 B.Khmelnytsky Ave, 72312 Melitopol, Ukraine
Yuliia Kholodniak: Department of Information Technologies of Design named after V. M. Naidysh, Dmytro Motornyi Tavria State Agrotechnological University, 18 B.Khmelnytsky Ave, 72312 Melitopol, Ukraine
Serhii Halko: Department of Information Technologies of Design named after V. M. Naidysh, Dmytro Motornyi Tavria State Agrotechnological University, 18 B.Khmelnytsky Ave, 72312 Melitopol, Ukraine
Oleksandr Vershkov: Department of Information Technologies of Design named after V. M. Naidysh, Dmytro Motornyi Tavria State Agrotechnological University, 18 B.Khmelnytsky Ave, 72312 Melitopol, Ukraine
Larysa Bondarenko: Department of Information Technologies of Design named after V. M. Naidysh, Dmytro Motornyi Tavria State Agrotechnological University, 18 B.Khmelnytsky Ave, 72312 Melitopol, Ukraine
Olena Suprun: Department of Information Technologies of Design named after V. M. Naidysh, Dmytro Motornyi Tavria State Agrotechnological University, 18 B.Khmelnytsky Ave, 72312 Melitopol, Ukraine
Oleksandr Miroshnyk: Department of Electricity and Energy Management, Kharkiv Petro Vasylenko National Technical University of Agriculture, 19 Rizdviana Str., 61052 Kharkiv, Ukraine
Taras Shchur: Department of Cars and Tractors, Faculty of Mechanics and Energy, Lviv National Agrarian University, 1 Volodymyr Great Str., 80381 Dubliany, Ukraine
Mścisław Śrutek: Faculty of Telecommunications, Computer Science and Electrical Engineering, UTP University of Science and Technology in Bydgoszcz, 85-796 Bydgoszcz, Poland
Marta Gackowska: Faculty of Telecommunications, Computer Science and Electrical Engineering, UTP University of Science and Technology in Bydgoszcz, 85-796 Bydgoszcz, Poland

DOI: https://doi.org/10.3390/e23050493
Journal volume & issue: Vol. 23, no. 5
p. 493

Abstract

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The paper addresses the problem of modeling a smooth contour interpolating a point series belonging to a curve containing no special points, which represents the original curve with specified accuracy. The contour is formed within the area of possible location of the parts of the interpolated curve along which the curvature values are monotonously increased or decreased. The absolute interpolation error of the point series is estimated by the width of the area of possible location of the curve. As a result of assigning each intermediate point, the location of two new sections of the curve that lie within the area of the corresponding output section is obtained. When the interpolation error becomes less than the given value, the area of location of the curve is considered to be formed, and the resulting point series is interpolated by a contour that lies within the area. The possibility to shape the contours with arcs of circles specified by characteristics is investigated.

Published in Entropy

ISSN: 1099-4300 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Astronomy: Astrophysics; Science: Physics
Website: http://www.mdpi.com/journal/entropy

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