The Family of Multiparameter Quaternary Subdivision Schemes
In the field of subdivision, the smoothness increases as the arity of schemes increases. The family of high arity schemes gives high smoothness comparative to low arity schemes. In this paper, we propose a simple and generalized formula for a family of multiparameter quaternary subdivision schemes....
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/4732464 |
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| _version_ | 1832558838115467264 |
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| author | Ghulam Mustafa Muhammad Asghar Shafqat Ali Arzoo Qamar Jia-Bao Liu |
| author_facet | Ghulam Mustafa Muhammad Asghar Shafqat Ali Arzoo Qamar Jia-Bao Liu |
| author_sort | Ghulam Mustafa |
| collection | DOAJ |
| description | In the field of subdivision, the smoothness increases as the arity of schemes increases. The family of high arity schemes gives high smoothness comparative to low arity schemes. In this paper, we propose a simple and generalized formula for a family of multiparameter quaternary subdivision schemes. The conditions for convergence of subdivision schemes are also presented. Moreover, we derive subdivision schemes after substituting the different values of parameters. We also analyzed the important properties of the proposed family of subdivision schemes. After comparison with existing schemes, we analyze that the proposed family of subdivision schemes gives better smoothness and approximation compared with the existing subdivision schemes. |
| format | Article |
| id | doaj-art-fc540a66ed464bdcac62b009b1868f65 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-fc540a66ed464bdcac62b009b1868f652025-02-03T01:31:33ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/4732464The Family of Multiparameter Quaternary Subdivision SchemesGhulam Mustafa0Muhammad Asghar1Shafqat Ali2Arzoo Qamar3Jia-Bao Liu4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsSchool of Mathematics and PhysicsIn the field of subdivision, the smoothness increases as the arity of schemes increases. The family of high arity schemes gives high smoothness comparative to low arity schemes. In this paper, we propose a simple and generalized formula for a family of multiparameter quaternary subdivision schemes. The conditions for convergence of subdivision schemes are also presented. Moreover, we derive subdivision schemes after substituting the different values of parameters. We also analyzed the important properties of the proposed family of subdivision schemes. After comparison with existing schemes, we analyze that the proposed family of subdivision schemes gives better smoothness and approximation compared with the existing subdivision schemes.http://dx.doi.org/10.1155/2021/4732464 |
| spellingShingle | Ghulam Mustafa Muhammad Asghar Shafqat Ali Arzoo Qamar Jia-Bao Liu The Family of Multiparameter Quaternary Subdivision Schemes Journal of Mathematics |
| title | The Family of Multiparameter Quaternary Subdivision Schemes |
| title_full | The Family of Multiparameter Quaternary Subdivision Schemes |
| title_fullStr | The Family of Multiparameter Quaternary Subdivision Schemes |
| title_full_unstemmed | The Family of Multiparameter Quaternary Subdivision Schemes |
| title_short | The Family of Multiparameter Quaternary Subdivision Schemes |
| title_sort | family of multiparameter quaternary subdivision schemes |
| url | http://dx.doi.org/10.1155/2021/4732464 |
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