| 基于函数值的线性有理插值样条 |
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| 引用本文： | 刘植,张莉,时军,陈晓彦. 基于函数值的线性有理插值样条[J]. 工程图学学报, 2009, 30(6) |
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| 作者姓名： | 刘植 张莉 时军 陈晓彦 |
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| 作者单位： | 1. 合肥工业大学计算机与信息学院,安徽,合肥,230009;合肥工业大学数学系,安徽,合肥,230009
2. 合肥工业大学数学系,安徽,合肥,230009 |
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| 基金项目： | 教育部博士点基金资助项目，国家自然科学基金资助项目，安徽省自然科学基金资助项目，合肥工业大学科研基金资助项目 |
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| 摘 要： | 讨论一种带形状参数的分段线性有理插值函数,其分子和分母都是线性的.通过选择适当的形状参数,构造的曲线保单调、保凸,且整体C~1连续,并给出了插值样条的误差分析.实例表明,该方法计算简单、控制灵活,方便有效.
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| 关 键 词： | 计算机应用 有理样条 保单调性 保凸性 C~1连续 |
Rational Linear Interpolating Spline Based on Function Values |
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| LIU Zhi,ZHANG Li,SHI Jun,CHEN Xiao-yan. Rational Linear Interpolating Spline Based on Function Values[J]. Journal of Engineering Graphics, 2009, 30(6) |
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| Authors: | LIU Zhi ZHANG Li SHI Jun CHEN Xiao-yan |
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| Affiliation: | LIU Zhi 1,2,ZHANG Li1,SHI Jun2,CHEN Xiao-yan2(1.College of Computer and Information,Hefei University of Technology,Hefei Anhui 230009,China,2.Department of Mathematics,China) |
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| Abstract: | A piecewise linear rational interpolating function with shape parameter is constructed,both the numerator and denominator being linear.Through assigning appropriate value to the shape parameter,the function is C1-continuity and monotonicity preserving and convexity preserving.Error analysis of the interpolation is also given.Experiments show that the method is simple,intuitive,effective and easy to control. |
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| Keywords: | computer application rational spline monotonicity-preserving convexity- preserving C~1-continuity |
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