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ISSN: 2524-0714

Please use this identifier to cite or link to this item: http://elar.tsatu.edu.ua/handle/123456789/15106
Title: Representation of a Monotone Curve by a Contour with Regular Change in Curvature
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
Miroshnyk, O.
Suprun, Olena
Супрун, Олена Миколаївна
Супрун, Елена Николаевна
Dereza, Olena
Дереза, Олена Олександрівна
Дереза, Елена Александровна
Shchur, T.
Śrutek, M.
Keywords: interpolation;tangent line;curvature;area of location of the curve;contour;ellipse;error;B-spline
Issue Date: 2021
Series/Report no.: Entropy;№ 23 (7)
Abstract: The problem of modelling a smooth contour with a regular change in curvature representing a monotone curve with specified accuracy is solved in this article. The contour was formed within the area of the possible location of a convex curve, which can interpolate a point series. The assumption that if a sequence of points can be interpolated by a monotone curve, then the reference curve on which these points have been assigned is monotone, provides the opportunity to implement the proposed approach to estimate the interpolation error of a point series of arbitrary configuration. The proposed methods for forming a convex regular contour by arcs of ellipses and B-spline ensure the interpolation of any point series in parts that can be interpolated by a monotone curve. At the same time, the deflection of the contour from the boundaries of the area of the possible location of the monotone curve can be controlled. The possibilities of the developed methods are tested while solving problems of the interpolation of a point series belonging to monotone curves. The problems are solved in the CAD system of SolidWorks with the use of software application created based on the methods developed in the research work.
URI: http://elar.tsatu.edu.ua/handle/123456789/15106
Appears in Collections:кафедра Технічна механіка та комп'ютерне проектування ім. професора В.М. Найдиша

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