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ON HIGH DIMENSIONAL INTERPOLATION |
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| Authors: | Zhu Ping |
| Abstract: | This paper introduces the definition of the Orthogonal Type Node Configuration and discusses the corresponding multivariate Lagrange, Hermite and Birkhoff interpolation problems in high dimensional space R s(s>2). This node configuration can be considered to be a kind of extension of the Cross Type Node Configuration , in R 2 to high dimensional spaces. And the Mixed Type Node Configuration in R s(s>2) is also discussed in this paper in an example. |
| Keywords: | multivariate interpolation node configuration multivariate Vandermonde determinant computer graphics Lagrange interpolation Hermite interpolation Birkhoff interpolation. |
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