A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme
This paper uses the continued fraction technique to construct a nonstationary 4-point ternary interpolatory subdivision scheme, which provides the user with a tension parameter that effectively handles cusps compared with a stationary 4-point ternary interpolatory subdivision scheme. Then, the conti...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6694241 |
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| _version_ | 1849306488419385344 |
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| author | Jieqing Tan Guangyue Tong |
| author_facet | Jieqing Tan Guangyue Tong |
| author_sort | Jieqing Tan |
| collection | DOAJ |
| description | This paper uses the continued fraction technique to construct a nonstationary 4-point ternary interpolatory subdivision scheme, which provides the user with a tension parameter that effectively handles cusps compared with a stationary 4-point ternary interpolatory subdivision scheme. Then, the continuous nonstationary 4-point ternary scheme is analyzed, and the limit curve is at least C2-continuous. Furthermore, the monotonicity preservation and convexity preservation are proved. |
| format | Article |
| id | doaj-art-3242e4853abe4d598867006c6a97f9cd |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-3242e4853abe4d598867006c6a97f9cd2025-08-20T03:55:03ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66942416694241A Nonstationary Ternary 4-Point Shape-Preserving Subdivision SchemeJieqing Tan0Guangyue Tong1School of Mathematics, Hefei University of Technology, Hefei 230009, ChinaSchool of Computer and Information, Hefei University of Technology, Hefei 23009, ChinaThis paper uses the continued fraction technique to construct a nonstationary 4-point ternary interpolatory subdivision scheme, which provides the user with a tension parameter that effectively handles cusps compared with a stationary 4-point ternary interpolatory subdivision scheme. Then, the continuous nonstationary 4-point ternary scheme is analyzed, and the limit curve is at least C2-continuous. Furthermore, the monotonicity preservation and convexity preservation are proved.http://dx.doi.org/10.1155/2021/6694241 |
| spellingShingle | Jieqing Tan Guangyue Tong A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme Journal of Mathematics |
| title | A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme |
| title_full | A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme |
| title_fullStr | A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme |
| title_full_unstemmed | A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme |
| title_short | A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme |
| title_sort | nonstationary ternary 4 point shape preserving subdivision scheme |
| url | http://dx.doi.org/10.1155/2021/6694241 |
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