| 三元Lagrange插值正则性问题研究 |
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| 引用本文： | 余震果,李丽,崔利宏.三元Lagrange插值正则性问题研究[J].大连民族学院学报,2011,13(1):34-36. |
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| 作者姓名： | 余震果 李丽 崔利宏 |
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| 作者单位： | 辽宁师范大学数学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10801023) |
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| 摘 要： | 针对当今许多科研领域中(如曲面拼接、散乱数据插值与拟合等)经常涉及到的三元Lagrange插值问题进行了研究。提出了沿空间代数曲线插值的基本概念,同时通过使用代数几何中的若干理论,得到了构造沿空间代数曲线及代数曲面插值正则结点组的迭加构造方法,该方法推广了文献1-2]中的某些主要研究结果。
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| 关 键 词： | 三元插值 多项式空间 正则结点组 沿代数曲面插值 沿空间代数曲线插值 |
Some Researches on Regularity for Trivariate Lagrange Interpolation |
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| YU Zhen-guo,LI Li,CUI Li-hong.Some Researches on Regularity for Trivariate Lagrange Interpolation[J].Journal of Dalian Nationalities University,2011,13(1):34-36. |
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| Authors: | YU Zhen-guo LI Li CUI Li-hong |
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| Institution: | YU Zhen-guo,LI Li,CUI Li-hong(Institute of Mathematics,Liaoning Normal Uuniversity,Dalian Liaoning,116029,China) |
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| Abstract: | In order to counter the problem of trivariate Lagrange interpolation in many the domain of the scientific research(for instance,blending surface,scatting data interpolation and fitting),a concept on Lagrange interpolation along a space algebraic curve is developed.By using some results in algebraic geometry,the methods of superposed to construct the regular set of nodes for Lagrange interpolation along a space algebraic curve and a algebraic surface are given.The given methods expand and develop the main re... |
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| Keywords: | trivariate Lagrange interpolation polynomial space regular set of nodes interpolation along a surface interpolation along a space curve |
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