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Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve
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...
Autores principales: | , , , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8142998/ https://www.ncbi.nlm.nih.gov/pubmed/33919030 http://dx.doi.org/10.3390/e23050493 |
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author | Havrylenko, Yevhen Kholodniak, Yuliia Halko, Serhii Vershkov, Oleksandr Bondarenko, Larysa Suprun, Olena Miroshnyk, Oleksandr Shchur, Taras Śrutek, Mścisław Gackowska, Marta |
author_facet | Havrylenko, Yevhen Kholodniak, Yuliia Halko, Serhii Vershkov, Oleksandr Bondarenko, Larysa Suprun, Olena Miroshnyk, Oleksandr Shchur, Taras Śrutek, Mścisław Gackowska, Marta |
author_sort | Havrylenko, Yevhen |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-8142998 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-81429982021-05-25 Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve Havrylenko, Yevhen Kholodniak, Yuliia Halko, Serhii Vershkov, Oleksandr Bondarenko, Larysa Suprun, Olena Miroshnyk, Oleksandr Shchur, Taras Śrutek, Mścisław Gackowska, Marta Entropy (Basel) Article 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. MDPI 2021-04-21 /pmc/articles/PMC8142998/ /pubmed/33919030 http://dx.doi.org/10.3390/e23050493 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Havrylenko, Yevhen Kholodniak, Yuliia Halko, Serhii Vershkov, Oleksandr Bondarenko, Larysa Suprun, Olena Miroshnyk, Oleksandr Shchur, Taras Śrutek, Mścisław Gackowska, Marta Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve |
title | Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve |
title_full | Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve |
title_fullStr | Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve |
title_full_unstemmed | Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve |
title_short | Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve |
title_sort | interpolation with specified error of a point series belonging to a monotone curve |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8142998/ https://www.ncbi.nlm.nih.gov/pubmed/33919030 http://dx.doi.org/10.3390/e23050493 |
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