| 基于双二次B样条的拟插值算子的构造 |
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| 引用本文： | 高福顺,姜元政.基于双二次B样条的拟插值算子的构造[J].北华大学学报(自然科学版),2015(4):421-426. |
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| 作者姓名： | 高福顺 姜元政 |
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| 作者单位： | 北华大学数学与统计学院,吉林 吉林,132033;北华大学数学与统计学院,吉林 吉林,132033 |
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| 基金项目： | 吉林省教育厅科学技术研究项目 |
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| 摘 要： | 对数据点{(xi,yj),f(xi,yj)},(i=0,1,…,n;j=0,1,…,m),应用双二次B样条基函数构造了一种双变量拟插值算子(Lf)(x,y),证明了算子(Lf)(x,y)具有二次多项式再生性,并给出了其逼近误差,最后通过数值模拟说明了该算子的可行性.
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| 关 键 词： | 拟插值 B样条 多项式再生性 逼近误差 |
Construction of Quasi-interpolation Operators by Biquadratic B-spline |
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| Gao Fushun,Jiang Yuanzheng.Construction of Quasi-interpolation Operators by Biquadratic B-spline[J].Journal of Beihua University(Natural Science),2015(4):421-426. |
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| Authors: | Gao Fushun Jiang Yuanzheng |
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| Abstract: | Using biquadratic B-spline basis function,we have constructed a bivariate quasi-interpolation operator (Lf)(x,y) for data points {(xi,yj), f(xi,yj)},(i=0,1,…,n; j= 0,1,…,m). The quasi-interpolation operator ( Lf ) ( x, y ) can reproduce quadratic polynomial, and approximation error of the quasi-interpolation operator is given. Finally,we give some numerical experiments to illustrate the feasibility of the operator. |
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| Keywords: | quasi-interpolation B-spline polynomial reproduction approximation error |
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