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| 一类保正的有理三次插值样条 | |
| 引用本文： | 田萌. 一类保正的有理三次插值样条[J]. 山东理工大学学报：自然科学版, 2006, 20(3): 16-18 |
| 作者姓名： | 田萌 |
| 作者单位： | 山东理工大学,数学与信息科学学院,山东,淄博,255049 |
| 摘 要： | 利用分段有理三次插值样条解决了正数据的保形问题.该插值样条函数形式固定唯一,插值曲线整体上达到了C1连续.实例表明该方法实现了曲线保正,此外还给出了该样条的逼近性质分析. |
| 关 键 词： | 有理样条 插值 保正 逼近 |
| 文章编号： | 1672-6197(2006)03-0016-03 |
| 收稿时间： | 2005-09-20 |
| 修稿时间： | 2005-09-20 |
Positivity-preserving piecewise rational cubic interpolation |
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| TIAN Meng. Positivity-preserving piecewise rational cubic interpolation[J]. Journal of Shandong University of Technology:Science and Technology, 2006, 20(3): 16-18 | |
| Authors: | TIAN Meng |
| Affiliation: | School of Mathematics and Information Science, Shandong University of Technology, Zibo 255049, China |
| Abstract: | An explicit representation of a C~1 piecewise rational cubic spline has been developed,which can produce a positive interpolant for given positive data.The explicit representation is easily constructed,and numerical experiments indicate that the method produces visually pleasing curves.Furthermore,an error analysis of the interpolant is given. |
| Keywords: | rational spline interpolation positivity-preserving approximation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |