| 一类数据集上的保形插值样条 |
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| 引用本文： | 王艳春. 一类数据集上的保形插值样条[J]. 南京理工大学学报(自然科学版), 1994, 0(6): 25-29 |
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| 作者姓名： | 王艳春 |
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| 作者单位： | 南京理工大学机械学院 |
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| 基金项目： | 航空科学基金，国家教委中国博士后基金 |
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| 摘 要： | 该文给出了一种适用于一类数据集的有理保形插值样条，可保持数据集的局部凸凹性和拐点性质以及局部单调性，且其构造算法简单，计算量极小，优于现有文献中所见的Ｃ２有理保形插值算法。
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| 关 键 词： | 样条插值 凸样 单调 数据集 保形插值 |
A Shape-preserving Interpolating Spline to a Class of Data Sets. |
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| Wang Yanchun. A Shape-preserving Interpolating Spline to a Class of Data Sets.[J]. Journal of Nanjing University of Science and Technology(Nature Science), 1994, 0(6): 25-29 |
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| Authors: | Wang Yanchun |
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| Abstract: | A shape-preserving rational interpolating spline S(x)to a class of data sets is presented,which can preserve the local convexity, concavity,inflection property and monotonicity of the data sets. The algorithm to construct S(x) described in this paper is simple and little computation-consuming ,and better than those for C2 shape-preserving rational interpolation in the published papers. |
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| Keywords: | spline interpolation convexity monotone shape preserving |
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