A Six-Point Variant on the Lane-Riesenfeld Algorithm
We apply six-point variant on the Lane-Riesenfeld algorithm to obtain a new family of subdivision schemes. We also determine the support, smoothness, Hölder regularity, magnitude of the artifact, and the shrinkage effect due to the change of integer smoothing parameter that characterizes the members...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/628285 |
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| _version_ | 1850177080306696192 |
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| author | Pakeeza Ashraf Ghulam Mustafa Jiansong Deng |
| author_facet | Pakeeza Ashraf Ghulam Mustafa Jiansong Deng |
| author_sort | Pakeeza Ashraf |
| collection | DOAJ |
| description | We apply six-point variant on the Lane-Riesenfeld algorithm to obtain a new family of subdivision schemes. We also determine the support, smoothness, Hölder regularity, magnitude of the artifact, and the shrinkage effect due to the change of integer smoothing parameter that characterizes the members of the family. The degree of polynomial reproduction also has been discussed. It is observed that the proposed schemes have less shrinkage effect and as a result better preserve the shape of control polygon. |
| format | Article |
| id | doaj-art-aede4be3145646e482b9efe34356aafa |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-aede4be3145646e482b9efe34356aafa2025-08-20T02:19:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/628285628285A Six-Point Variant on the Lane-Riesenfeld AlgorithmPakeeza Ashraf0Ghulam Mustafa1Jiansong Deng2Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanDepartment of Mathematics, University of Science and Technology of China, Hefei 230026, ChinaWe apply six-point variant on the Lane-Riesenfeld algorithm to obtain a new family of subdivision schemes. We also determine the support, smoothness, Hölder regularity, magnitude of the artifact, and the shrinkage effect due to the change of integer smoothing parameter that characterizes the members of the family. The degree of polynomial reproduction also has been discussed. It is observed that the proposed schemes have less shrinkage effect and as a result better preserve the shape of control polygon.http://dx.doi.org/10.1155/2014/628285 |
| spellingShingle | Pakeeza Ashraf Ghulam Mustafa Jiansong Deng A Six-Point Variant on the Lane-Riesenfeld Algorithm Journal of Applied Mathematics |
| title | A Six-Point Variant on the Lane-Riesenfeld Algorithm |
| title_full | A Six-Point Variant on the Lane-Riesenfeld Algorithm |
| title_fullStr | A Six-Point Variant on the Lane-Riesenfeld Algorithm |
| title_full_unstemmed | A Six-Point Variant on the Lane-Riesenfeld Algorithm |
| title_short | A Six-Point Variant on the Lane-Riesenfeld Algorithm |
| title_sort | six point variant on the lane riesenfeld algorithm |
| url | http://dx.doi.org/10.1155/2014/628285 |
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