| 多项式理想在三元插值中的应用 |
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| 引用本文： | 崔利宏,牛辉.多项式理想在三元插值中的应用[J].吉首大学学报(自然科学版),2009,30(2):13-15. |
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| 作者姓名： | 崔利宏 牛辉 |
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| 作者单位： | （辽宁师范大学数学学院，辽宁 大连 116029） |
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| 摘 要： | 利用代数几何中理想和代数集的基本理论，研究了三维欧氏空间中多元Lagrange插值问题，构造了一种新的沿代数曲面插值适定结点组的方法--添加曲面法，该方对于曲面的拼接、散乱数据插值与拟合等有重要作用.
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| 关 键 词： | 理想 代数曲面 插值 适定结点组 |
Applications of Polynomial Ideals to Trivariate Interpolation |
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| CUI Li-hong,NIU Hui.Applications of Polynomial Ideals to Trivariate Interpolation[J].Journal of Jishou University(Natural Science Edition),2009,30(2):13-15. |
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| Authors: | CUI Li-hong NIU Hui |
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| Institution: | (School of Mathematics,Liaoning Normal University,Dalian 116029,Liaoning China) |
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| Abstract: | By using the basic theories of ideals and algebraic sets in the algebraic geometry,the multivariate Lagrange interpolation problems in the three dimensional Euclidean Space are dealt with in this paper.A new method for constructing properly posed set of nodes along algebraic surfaces is given,i.e.Algebraic Surfaces Superpositon Process,which generalizes the results obtained on this aspect and is of great significance in surface split-joint,scattered data interpolation and fitting,etc. |
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| Keywords: | ideals algebraic surface interpolation properly posed set of nodes |
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