| 插值多元拟有理样条函数~Ⅱ |
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| 引用本文： | 檀结庆.插值多元拟有理样条函数~Ⅱ[J].合肥工业大学学报(自然科学版),1991(4). |
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| 作者姓名： | 檀结庆 |
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| 摘 要： | 本文借助于广义台劳展式,得到了一般多元有理样条函数的两种表现形式。此外,通过给定四边形剖分下各胞腔上的分片有理函数,构造了两种插值多元拟有理样条函数,证明了其存在性与唯一性。
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| 关 键 词： | 拟多项式 拟有理函数 插值 样条 四边形剖分 |
INTERPOLATING MULTIVARIATE QUASI RATIONAL SPLINES |
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| Tan Jieqing.INTERPOLATING MULTIVARIATE QUASI RATIONAL SPLINES[J].Journal of Hefei University of Technology(Natural Science),1991(4). |
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| Authors: | Tan Jieqing |
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| Institution: | Tan Jieqing |
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| Abstract: | In this paper, by using the generalized multivariate Taylor expansion formula, we obtain two kinds of representations of general multivariate rational splines. Moreover we construct both types of interpolating multivariate quasi-rational splines through the piecewise rational functions given on a polygonal domain D under certain quadrilateral partition and prove their existence and unique so-lubility. |
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| Keywords: | Quasi-polynomials Quasi-rational functions Interpolation Splines Quadrilateral partition |
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