A Class of Sextic Trigonometric Bézier Curve with Two Shape Parameters
In this paper, we present a new class of sextic trigonometric Bernstein (ST-Bernstein, for short) basis functions with two shape parameters along with their geometric properties which are similar to the classical Bernstein basis functions. A sextic trigonometric Bézier (ST-Bézier, for short) curve w...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9989810 |
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| author | Salma Naseer Muhammad Abbas Homan Emadifar Samia Bi Bi Tahir Nazir Zaheer Hussain Shah |
| author_facet | Salma Naseer Muhammad Abbas Homan Emadifar Samia Bi Bi Tahir Nazir Zaheer Hussain Shah |
| author_sort | Salma Naseer |
| collection | DOAJ |
| description | In this paper, we present a new class of sextic trigonometric Bernstein (ST-Bernstein, for short) basis functions with two shape parameters along with their geometric properties which are similar to the classical Bernstein basis functions. A sextic trigonometric Bézier (ST-Bézier, for short) curve with two shape parameters and their geometric characteristics is also constructed. The continuity constraints for the connection of two adjacent ST-Bézier curves segments are discussed. Shape control parameters can provide an opportunity to modify the shape of curve as designer desired. Some open and closed curves are also part of this study. |
| format | Article |
| id | doaj-art-0636fcc89c3b4c15925aeac1fcb878df |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0636fcc89c3b4c15925aeac1fcb878df2025-02-03T07:24:24ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99898109989810A Class of Sextic Trigonometric Bézier Curve with Two Shape ParametersSalma Naseer0Muhammad Abbas1Homan Emadifar2Samia Bi Bi3Tahir Nazir4Zaheer Hussain Shah5Department of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, IranSchool of Mathematical Sciences, Universiti Sains Malaysia, Gelugor, Penang 11800, MalaysiaDepartment of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Physics, University of Management and Technology, Lahore, PakistanIn this paper, we present a new class of sextic trigonometric Bernstein (ST-Bernstein, for short) basis functions with two shape parameters along with their geometric properties which are similar to the classical Bernstein basis functions. A sextic trigonometric Bézier (ST-Bézier, for short) curve with two shape parameters and their geometric characteristics is also constructed. The continuity constraints for the connection of two adjacent ST-Bézier curves segments are discussed. Shape control parameters can provide an opportunity to modify the shape of curve as designer desired. Some open and closed curves are also part of this study.http://dx.doi.org/10.1155/2021/9989810 |
| spellingShingle | Salma Naseer Muhammad Abbas Homan Emadifar Samia Bi Bi Tahir Nazir Zaheer Hussain Shah A Class of Sextic Trigonometric Bézier Curve with Two Shape Parameters Journal of Mathematics |
| title | A Class of Sextic Trigonometric Bézier Curve with Two Shape Parameters |
| title_full | A Class of Sextic Trigonometric Bézier Curve with Two Shape Parameters |
| title_fullStr | A Class of Sextic Trigonometric Bézier Curve with Two Shape Parameters |
| title_full_unstemmed | A Class of Sextic Trigonometric Bézier Curve with Two Shape Parameters |
| title_short | A Class of Sextic Trigonometric Bézier Curve with Two Shape Parameters |
| title_sort | class of sextic trigonometric bezier curve with two shape parameters |
| url | http://dx.doi.org/10.1155/2021/9989810 |
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