| 引用本文: | 王兴波.一个 C1 单调保形插值三次样条的构造.[J].国防科技大学学报,1993,15(2):111-118.[点击复制] |
| Wang Xingbo.The Construction of a C1-monotone Shape-preserving Cubic Spline Interpolation[J].Journal of National University of Defense Technology,1993,15(2):111-118[点击复制] |
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| 一个 C1 单调保形插值三次样条的构造 |
| 王兴波 |
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(系统工程与应用数学系)
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| 摘要: |
| 本文利用三次Bernstein 多项式构造了一种 C1 单调保形插值三次样条函数。该方法除计算简单外，还能应用于外形设计中且能灵活地调节外形曲线。 |
| 关键词: 单调保形插值，有(无)拐分布，折线偶，Bernstein 偶 |
| DOI： |
| 投稿日期：1992-04-08 |
| 基金项目: |
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| The Construction of a C1-monotone Shape-preserving Cubic Spline Interpolation |
| Wang Xingbo |
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(Department of System Engineering and Applied Mathematics)
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| Abstract: |
| Using cubic Bernstein polynomial，this paper gives a construction of C1-monotone shape-preserving cubic spline interpolation. The construction is easy to compute and can be applied in shape design. |
| Keywords: monotonic shape-preserving interpolation,flex-distribution (nonflex-),refractline dual,Bernstein dual |
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