| 保形插值的样条函数方法 |
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| 引用本文： | 方逵,傅凯新. 保形插值的样条函数方法[J]. 国防科技大学学报, 1994, 16(4): 88-93 |
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| 作者姓名： | 方逵 傅凯新 |
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| 作者单位： | 国防科技大学，湘潭大学 |
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| 摘 要： | 对于给定的任何型值数组，本文通过插入新结点构造了Ｃ１连续的保形插值二次和三次样条函数Ｓ（ｘ），最后还讨论了单调保形的插值样条函数。
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| 关 键 词： | 插值样条函数；保单调性；保凸性；保形性 |
| 收稿时间： | 1993-04-20 |
Spline Function Method for Shape Preserving Interpolation |
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| Fang Kui and Fu Kaixin. Spline Function Method for Shape Preserving Interpolation[J]. Journal of National University of Defense Technology, 1994, 16(4): 88-93 |
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| Authors: | Fang Kui and Fu Kaixin |
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| Abstract: | For any given sequence of data points,in this paper,a C1 shape preserving interpolating quadratic and cubic spline function S(x) by inserting some new knots are constructed by using Bernstein polynomails.The S(x) is simple and efficient to calculate.Finally the monotonic shape preserving spline function is also discussed. |
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| Keywords: | ss:interpolating spline function monotonicity preserving property convexity preserving property shape preserving property |
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