| 基于函数值的线性有理插值样条的区域控制 |
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| 引用本文： | 刘植,陈晓彦,江平,张莉. 基于函数值的线性有理插值样条的区域控制[J]. 计算数学, 2011, 33(4): 367-372 |
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| 作者姓名： | 刘植 陈晓彦 江平 张莉 |
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| 作者单位： | 合肥工业大学数学学院, 合肥 230009 |
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| 基金项目： | 教育部博士点新教师基金项目，安徽省自然科学基金项目，中央高校基本科研业务费专项经费，安徽省人才流动开发基金，合肥工业大学博士专项基金，合肥工业大学科研基金 |
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| 摘 要： | 将插值曲线约束于给定的区域之内是插值与逼近的一个重要内容.本文讨论了一种带形状参数的线性有理插值样条的区域控制问题.给出将插值曲线约束于给定的折线及抛物线之上、之下或之间的条件.数值实例表明本文给出的条件在曲线设计中是有效的.
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| 关 键 词： | 计算机应用 有理线性插值样条 形状参数 区域控制 |
| 收稿时间： | 2010-10-25; |
REGION CONTROL OF A RATIONAL LINEAR INTERPOLATING SPLINE BASED ON FUNCTION VALUES |
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| Liu Zhi,Chen Xiaoyan,Jiang Ping,Zhang Li. REGION CONTROL OF A RATIONAL LINEAR INTERPOLATING SPLINE BASED ON FUNCTION VALUES[J]. Mathematica Numerica Sinica, 2011, 33(4): 367-372 |
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| Authors: | Liu Zhi Chen Xiaoyan Jiang Ping Zhang Li |
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| Affiliation: | School of Mathematics, Hefei University of Technology, Hefei 230009, China |
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| Abstract: | To constrain the interpolating curves to be bounded in the given region is an important content in interpolation and approximation. The region control problem of a rational linear interpolating spline with shape parameters and linear denominator is discussed in this paper. The conditions for the interpolating curve to be above, below or between the given broken lines or piecewise parabolic are derived. Experiments show that the conditions given in this paper are effective in curve design. |
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| Keywords: | computer application rational linear interpolating spline shape parameter region control |
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