| Qianqian LV,Jieqing TAN,Jun SHI.A Unified Ternary Curve Subdivision Scheme[J].数学研究及应用,2017,37(1):47~58 |
| A Unified Ternary Curve Subdivision Scheme |
| A Unified Ternary Curve Subdivision Scheme |
| 投稿时间：2016-11-17 修订日期：2016-12-19 |
| DOI：10.3770/j.issn:2095-2651.2017.01.005 |
| 中文关键词: difference matrix subdivision scheme eigenvalues asymmetric scheme |
| 英文关键词:difference matrix subdivision scheme eigenvalues asymmetric scheme |
| 基金项目:Supported by the National Natural Science Foundation of China (Grant Nos.61472466; 61070227) and the NSFC-Guangdong Joint Foundation Key Project (Grant No.U1135003). |
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| 中文摘要: |
| A unified $m\,(m>2)$-point ternary scheme with some parameter is proposed. The continuity of subdivision scheme is analyzed based on the relationship between the subdivision scheme and difference scheme. Moreover, the proposed subdivision is extended to asymmetric multi-parameter subdivision and the asymmetric schemes in four cases are presented in detail. Some examples are given to show that the presented scheme has better approximating effect. |
| 英文摘要: |
| A unified $m\,(m>2)$-point ternary scheme with some parameter is proposed. The continuity of subdivision scheme is analyzed based on the relationship between the subdivision scheme and difference scheme. Moreover, the proposed subdivision is extended to asymmetric multi-parameter subdivision and the asymmetric schemes in four cases are presented in detail. Some examples are given to show that the presented scheme has better approximating effect. |
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