| 几种细分格式的综合表示 |
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| 引用本文： | 王晶昕,梁颖. 几种细分格式的综合表示[J]. 辽宁师范大学学报(自然科学版), 2011, 34(4) |
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| 作者姓名： | 王晶昕 梁颖 |
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| 作者单位： | 辽宁师范大学数学学院,辽宁大连,116029 |
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| 基金项目： | 国家自然科学基金项目(11071031) |
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| 摘 要： | 综合分析了N.Dyn提出的四点法以及其他几种构造插值型曲线的细分方法.提出了一种新的细分方法,这种细分格式含有4个调节参数,通过对参数的选择,可以得到N.Dyn的经典四点法、非均匀四点法、Hassan三进制四点法等几类重要的细分方法.同时对这种细分格式给出了数值实验.
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| 关 键 词： | 四点法 插值 细分 算法 |
Integrated expression of several subdivision scheme |
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| WANG Jing-xin,LIANG Ying. Integrated expression of several subdivision scheme[J]. Journal of Liaoning Normal University(Natural Science Edition), 2011, 34(4) |
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| Authors: | WANG Jing-xin LIANG Ying |
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| Affiliation: | WANG Jing-xin,LIANG Ying (School of Mathematics,Liaoning Normal University,Dalian 116029,China) |
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| Abstract: | This paper makes an comprehensive analysis of the four-point method of N.Dyn as well as several other curve interpolation method,and presents a new subdivision method which contains four adjustable parameters format.Through selecting the parameters,we can obtain N.Dyn classic four-point method,non-uniform four-point method,Hassan ternary four-point method and so on.At the same time,the numerical experiments are given for this scheme. |
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| Keywords: | 4-point subdivision scheme interpolation subdivision scheme |
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