| 有理[2m+1,2m]型分段插值样条 |
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| 引用本文： | 彭丰富,韩旭里. 有理[2m+1,2m]型分段插值样条[J]. 计算机工程与应用, 2006, 42(16): 92-95 |
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| 作者姓名： | 彭丰富 韩旭里 |
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| 作者单位： | 中南大学数学科学与计算技术学院,长沙,410083;中南大学数学科学与计算技术学院,长沙,410083 |
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| 摘 要： | 常见的较低次有理带单形状因子分段有理插值样条通过代数运算,可用Bernstein基函数等价表示,这类分段插值样条利用Hermite插值的方法推广到高次有理[2m+1,2m]型,样条的生成曲线满足Cm-连续,并给出了具体的Bern-stein基函数表示方法的表达式,其形式较为简单,最后分别讨论了这类有理插值的逼近阶与约束域及保单调等方面的形状因子的选取情况,并给出了例子分析。
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| 关 键 词： | Gregory插值 有理样条 分段Hermite插值 |
| 文章编号： | 1002-8331-（2006）16-0092-04 |
| 收稿时间： | 2005-09-01 |
| 修稿时间： | 2005-09-01 |
Piecewise Rational Interpolation Splines with [2m+1,2m] Method |
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| Peng Fengfu,Han Xuli. Piecewise Rational Interpolation Splines with [2m+1,2m] Method[J]. Computer Engineering and Applications, 2006, 42(16): 92-95 |
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| Authors: | Peng Fengfu Han Xuli |
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| Affiliation: | School of Mathematical Sciences and Computing Technology,Central South University,Changsha 410083 |
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| Abstract: | Piecewise rational interpolation splines of low degree with a shape factor,can be denoted by Bernstein basis functions through algebraic operation in general.[2m 1,2m] method spline is generalized through Hermite interpolation,which is Cm-continuity,and more succinct than the former.Finally,curves generating from the splines,the degree of accurate and PMI(Piecewise Monotone Interpolation) about choosing factor of splines are considered,and an example is given for the method. |
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| Keywords: | Gregory interpolation rational splines piecewise Hermite interpolation |
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