Tsatu logo
ISSN: 2524-0714

Please use this identifier to cite or link to this item: http://elar.tsatu.edu.ua/handle/123456789/13919
Title: Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve
Authors: Havrylenko, Yevhen
Гавриленко, Євген Андрійович
Гавриленко, Евгений Андреевич
Kholodniak, Yuliia
Холодняк, Юлія Володимирівна
Холодняк, Юлия Владимировна
Halko, Serhii
Галько, Сергій Віталійович
Галько, Сергей Витальевич
Vershkov, Oleksandr
Вершков, Олександр Олександрович
Вершков, Александр Александрович
Bondarenko, Larysa
Бондаренко, Лариса Юріївна
Бондаренко, Лариса Юрьевна
Suprun, Olena
Супрун, Олена Миколаївна
Супрун, Елена Николаевна
Miroshnyk, O.
Shchur, T.
Srutek, M.
Gackowska, M.
Keywords: monotone curve;tangent circle;adjacent circle;area of location of the curve;contour
Issue Date: 2021
Series/Report no.: Entropy;23(5):493
Abstract: 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.
URI: http://elar.tsatu.edu.ua/handle/123456789/13919
Appears in Collections:кафедра Технічна механіка та комп'ютерне проектування ім. професора В.М. Найдиша

Files in This Item:
File Description SizeFormat 
entropy-23-00493.pdf797.4 kBAdobe PDFThumbnail
Show full item record ???jsp.display-item.check???

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.