(2n-1)-Point Ternary Approximating and Interpolating Subdivision Schemes
We present an explicit formula which unifies the mask of (2n-1)-point ternary interpolating as well as approximating subdivision schemes. We observe that the odd point ternary interpolating and approximating schemes introduced by Lian (2009), Siddiqi and Rehan (2010, 2009) and Hassan and Dodgson (20...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/832630 |
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| _version_ | 1849408620856344576 |
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| author | Muhammad Aslam Ghulam Mustafa Abdul Ghaffar |
| author_facet | Muhammad Aslam Ghulam Mustafa Abdul Ghaffar |
| author_sort | Muhammad Aslam |
| collection | DOAJ |
| description | We present an explicit formula which unifies the mask of (2n-1)-point ternary interpolating as well as approximating subdivision schemes. We observe that the odd point ternary interpolating and approximating schemes introduced by Lian (2009), Siddiqi and Rehan (2010, 2009) and Hassan and Dodgson (2003) are special cases of our proposed masks/schemes. Moreover, schemes introduced by Zheng et al. (2009) can easily be generated by our proposed masks. It is also proved from comparison that (2n-1)-point schemes are better than 2n-scheme in the sense of computational cost, support and error bounds. |
| format | Article |
| id | doaj-art-7c1a04b9d6504eb8a8dd4d27915fcab9 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7c1a04b9d6504eb8a8dd4d27915fcab92025-08-20T03:35:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/832630832630(2n-1)-Point Ternary Approximating and Interpolating Subdivision SchemesMuhammad Aslam0Ghulam Mustafa1Abdul Ghaffar2Department of Mathematics, Lock Haven University, Lock Haven, PA 17745, USAThe Islamia University of Bahawalpur, Bahawalpur 63100, PakistanThe Islamia University of Bahawalpur, Bahawalpur 63100, PakistanWe present an explicit formula which unifies the mask of (2n-1)-point ternary interpolating as well as approximating subdivision schemes. We observe that the odd point ternary interpolating and approximating schemes introduced by Lian (2009), Siddiqi and Rehan (2010, 2009) and Hassan and Dodgson (2003) are special cases of our proposed masks/schemes. Moreover, schemes introduced by Zheng et al. (2009) can easily be generated by our proposed masks. It is also proved from comparison that (2n-1)-point schemes are better than 2n-scheme in the sense of computational cost, support and error bounds.http://dx.doi.org/10.1155/2011/832630 |
| spellingShingle | Muhammad Aslam Ghulam Mustafa Abdul Ghaffar (2n-1)-Point Ternary Approximating and Interpolating Subdivision Schemes Journal of Applied Mathematics |
| title | (2n-1)-Point Ternary Approximating and Interpolating Subdivision Schemes |
| title_full | (2n-1)-Point Ternary Approximating and Interpolating Subdivision Schemes |
| title_fullStr | (2n-1)-Point Ternary Approximating and Interpolating Subdivision Schemes |
| title_full_unstemmed | (2n-1)-Point Ternary Approximating and Interpolating Subdivision Schemes |
| title_short | (2n-1)-Point Ternary Approximating and Interpolating Subdivision Schemes |
| title_sort | 2n 1 point ternary approximating and interpolating subdivision schemes |
| url | http://dx.doi.org/10.1155/2011/832630 |
| work_keys_str_mv | AT muhammadaslam 2n1pointternaryapproximatingandinterpolatingsubdivisionschemes AT ghulammustafa 2n1pointternaryapproximatingandinterpolatingsubdivisionschemes AT abdulghaffar 2n1pointternaryapproximatingandinterpolatingsubdivisionschemes |