| 一类四次有理样条的形状控制及其逼近性质 |
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| 引用本文： | 刘琳,唐月红.一类四次有理样条的形状控制及其逼近性质[J].数值计算与计算机应用,2010,31(4):241-252. |
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| 作者姓名： | 刘琳 唐月红 |
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| 作者单位： | 南京航空航天大学理学院; |
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| 基金项目： | 南京航空航天大学振兴理科规划基金 |
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| 摘 要： | 本文基于一类带控制参数包含极点的(4,2)~k(k=1,2)阶有理插值样条,研究了它的约束插值问题,给出了将该种插值曲线约束于给定折线、二次曲线之上、之下或之间的充分条件.并讨论了该插值的逼近性质,最后给出了数值例子.
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| 关 键 词： | 有理插值 样条 约束插值 逼近性质 |
SHAPE CONTROL AND APPROXIMATION PROPERTIES OF A QUARTIC RATIONAL SPLINE |
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| Liu Lin,Tang Yuehong.SHAPE CONTROL AND APPROXIMATION PROPERTIES OF A QUARTIC RATIONAL SPLINE[J].Journal on Numerical Methods and Computer Applications,2010,31(4):241-252. |
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| Authors: | Liu Lin Tang Yuehong |
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| Affiliation: | Liu Lin Tang Yuehong (Department of Mathematics,Nanjing University of Aeronautics & Astronautics,Nanjing 210016,China) |
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| Abstract: | A rational spline interpolation of order(4,2)~k(k = 1,2) with control parameter and prescribed poles is presented.The rational spline can be used to control the shape of a curve. Based on this rational splines,the sufficient conditions that constrains the interpolating curves to be above,below or between the given straight lines or piecewise quadric curves are derived.The approximation properties of this rational spline are studied,and a numerical example is given in the end of this paper. |
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| Keywords: | rational interpolation splines constrained interpolation approximation properties |
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