Improvement of the Algorithm for Setting the Characteristics of Interpolation Monotone Curve

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dc.contributor.authorKholodniak, Yuliiaen
dc.contributor.authorHavrylenko, Yevhenen
dc.contributor.authorHalko, Serhiien
dc.contributor.authorHnatushenko, Volodymyr V.en
dc.contributor.authorSuprun, Olenaen
dc.contributor.authorVolina, Tatianaen
dc.contributor.authorMiroshnyk, Oleksandren
dc.contributor.authorShchur, Tarasen
dc.date.accessioned2024-02-07T12:41:55Z
dc.date.available2024-02-07T12:41:55Z
dc.date.issued2023
dc.descriptionVol. Hnatushenko: ORCID 0000-0003-3140-3788en
dc.description.abstractENG: 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.en
dc.description.sponsorshipDmytro Motornyi Tavria State Agrotechnological University, Zaporizhzhia, Ukraine; Dnipro University of Technology, Dnipro, Ukraine; National University of Life and Environmental Sciences of Ukraine, Kiev, Ukraine; State Biotechnological University, Kharkiv, Ukraine; Cyclone Manufacturing Inc, Mississauga, Ontario, Canadaen
dc.identifier.citationKholodniak Yu., Havrylenko Ye., Halko S., Hnatushenko V., Suprun O., Volina T., Miroshnyk O., Shchur T. Improvement of the Algorithm for Setting the Characteristics of Interpolation Monotone Curve. Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Srodowiska. 2023. Vol. 13, No. 4. P. 44–50. DOI: http://doi.org/10.35784/iapgos.5392.en
dc.identifier.doihttp://doi.org/10.35784/iapgos.5392en
dc.identifier.issn2083-0157 (Print)
dc.identifier.issn2391-6761 (Online)
dc.identifier.urihttps://ph.pollub.pl/index.php/iapgos/article/view/5392en
dc.identifier.urihttps://crust.ust.edu.ua/handle/123456789/18041en
dc.language.isoen
dc.publisherLublin University of Technology, Lublinen
dc.subjectinterpolationen
dc.subjectmonotone curveen
dc.subjectsingular pointsen
dc.subjectnormalen
dc.subjectcentre of curvatureen
dc.subjectevoluteen
dc.subjectcurvature radiusen
dc.subjectКІТСuk_UA
dc.subject.classificationTECHNOLOGY::Information technologyen
dc.titleImprovement of the Algorithm for Setting the Characteristics of Interpolation Monotone Curveen
dc.typeArticleen
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