Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme
This paper is concerned with the regular dynamic loop-like subdivision scheme based on the extension of Box-Spline method. The purpose of the addressed problem is to prove the convergence of the subdivision scheme and verify the C0 and C1 continuity by calculating the eigenvalues of the 2-neighbor s...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/264137 |
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| _version_ | 1849398987829805056 |
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| author | Xiangjun Zhao Xiaoyang Liu Mei Lu |
| author_facet | Xiangjun Zhao Xiaoyang Liu Mei Lu |
| author_sort | Xiangjun Zhao |
| collection | DOAJ |
| description | This paper is concerned with the regular dynamic loop-like subdivision scheme based on the extension of Box-Spline method. The purpose of the addressed problem is to prove the convergence of the subdivision scheme and verify the C0 and C1 continuity by calculating the eigenvalues of the 2-neighbor subdivision matrix. Compared with the loop subdivision scheme in previous references, the designed scheme can generate exact revolving surfaces and hold a stronger modeling capability because the subdivision matrix can update regularly with the iteration procedure. Finally, some examples are given to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-a43141c0e33141ba8023e8a5acba3bf1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a43141c0e33141ba8023e8a5acba3bf12025-08-20T03:38:26ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/264137264137Convergence Analysis of Regular Dynamic Loop-Like Subdivision SchemeXiangjun Zhao0Xiaoyang Liu1Mei Lu2School of Computer Science and Technology, Jiangsu Normal University, Xuzhou 221116, ChinaSchool of Computer Science and Technology, Jiangsu Normal University, Xuzhou 221116, ChinaSchool of Computer Science and Technology, Jiangsu Normal University, Xuzhou 221116, ChinaThis paper is concerned with the regular dynamic loop-like subdivision scheme based on the extension of Box-Spline method. The purpose of the addressed problem is to prove the convergence of the subdivision scheme and verify the C0 and C1 continuity by calculating the eigenvalues of the 2-neighbor subdivision matrix. Compared with the loop subdivision scheme in previous references, the designed scheme can generate exact revolving surfaces and hold a stronger modeling capability because the subdivision matrix can update regularly with the iteration procedure. Finally, some examples are given to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2012/264137 |
| spellingShingle | Xiangjun Zhao Xiaoyang Liu Mei Lu Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme Abstract and Applied Analysis |
| title | Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme |
| title_full | Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme |
| title_fullStr | Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme |
| title_full_unstemmed | Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme |
| title_short | Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme |
| title_sort | convergence analysis of regular dynamic loop like subdivision scheme |
| url | http://dx.doi.org/10.1155/2012/264137 |
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