A Polynomial Splines Identification Method Based on Control Nets
In this study, based on Polynomial Splines with control nets, an identification method is investigated. We introduce polynomial splines with control nets defined over T-mesh. The basic idea is to extend T-vertices such that those T-vertices become interior cross vertices or boundary vertices. To thi...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/7103963 |
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| _version_ | 1832567949330743296 |
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| author | Zhihua Wang Hongmei Kang |
| author_facet | Zhihua Wang Hongmei Kang |
| author_sort | Zhihua Wang |
| collection | DOAJ |
| description | In this study, based on Polynomial Splines with control nets, an identification method is investigated. We introduce polynomial splines with control nets defined over T-mesh. The basic idea is to extend T-vertices such that those T-vertices become interior cross vertices or boundary vertices. To this end, we introduce the design-suitable T-mesh for constructing polynomial splines with control net. In design-suitable T-meshes, there are no extra basis vertices produced by an appropriate extension of T-vertices. The basis functions are defined over each vertex in a design-suitable T-mesh by the means of constructing PHT-splines basis functions. |
| format | Article |
| id | doaj-art-9388d47c253447b8821bbc34145f73f1 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-9388d47c253447b8821bbc34145f73f12025-02-03T01:00:08ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/71039637103963A Polynomial Splines Identification Method Based on Control NetsZhihua Wang0Hongmei Kang1School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, ChinaSchool of Mathematical Sciences, Soochow University, No. 1 Road Shizi, Suzhou, Jiangsu, ChinaIn this study, based on Polynomial Splines with control nets, an identification method is investigated. We introduce polynomial splines with control nets defined over T-mesh. The basic idea is to extend T-vertices such that those T-vertices become interior cross vertices or boundary vertices. To this end, we introduce the design-suitable T-mesh for constructing polynomial splines with control net. In design-suitable T-meshes, there are no extra basis vertices produced by an appropriate extension of T-vertices. The basis functions are defined over each vertex in a design-suitable T-mesh by the means of constructing PHT-splines basis functions.http://dx.doi.org/10.1155/2020/7103963 |
| spellingShingle | Zhihua Wang Hongmei Kang A Polynomial Splines Identification Method Based on Control Nets Complexity |
| title | A Polynomial Splines Identification Method Based on Control Nets |
| title_full | A Polynomial Splines Identification Method Based on Control Nets |
| title_fullStr | A Polynomial Splines Identification Method Based on Control Nets |
| title_full_unstemmed | A Polynomial Splines Identification Method Based on Control Nets |
| title_short | A Polynomial Splines Identification Method Based on Control Nets |
| title_sort | polynomial splines identification method based on control nets |
| url | http://dx.doi.org/10.1155/2020/7103963 |
| work_keys_str_mv | AT zhihuawang apolynomialsplinesidentificationmethodbasedoncontrolnets AT hongmeikang apolynomialsplinesidentificationmethodbasedoncontrolnets AT zhihuawang polynomialsplinesidentificationmethodbasedoncontrolnets AT hongmeikang polynomialsplinesidentificationmethodbasedoncontrolnets |