| 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.[点击复制] |
| Fang Kui,Fu Kaixin.Spline Function Method for Shape Preserving Interpolation[J].Journal of National University of Defense Technology,1994,16(4):88-93[点击复制] |
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| 保形插值的样条函数方法 |
| 方逵1, 傅凯新2 |
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(1.国防科技大学;2.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。 |
| 关键词: 插值样条函数 保单调性 保凸性 保形性 |
| DOI： |
| 投稿日期：1993-04-20 |
| 基金项目: |
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| Spline Function Method for Shape Preserving Interpolation |
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(1.Department of Systems Engineering and Mathematics，NUDT，Changsha，410073)
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| Abstract: |
| For any given sequence of data points, in this paper，a C1 shape preserving interpo1ating quadratic and cubic sp1ine function S(x) by inserting some new knots are constructed by using Bernstein po1ynomai1s. The S(x) is simp1e and efficient to ca1cu1ate. Finally the monotonic shape preserving sp1ine function is a1so discussed. |
| Keywords: interpo1ating sp1ine function monotonicity preserving property convexity preserving property shape preserving property |
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