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 计算数学  2011, Vol. 33 Issue (1): 37-47    DOI:
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TRIVARIATE ODD DEGREE POLYNOMIAL NATURAL SPLINE INTERPOLATION FOR SCATTERED DATA
Xu Yingxiang, Guan Lvtai, Xu Weizhi
Department of Scientific Computation and Computer Application, Sun Yat-sen University, Guangzhou 510275, China
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Abstract

To solve the complicated interpolation problem for trivariate scattered data, a trivariate polynomial natural spline interpolation method is proposed. In the case of minimizing the objective functional with natural boundary conditions, the solution of the interpolation problem is constructed by the spline function methods of Hilbert space and in every block is a trivariate odd degree polynomial. Its expression is so simple and the coefficients can be decided by a linear system whose coefficient matrix is symmetry.

 引用本文: . 三奇次散乱点多项式自然样条插值[J]. 计算数学, 2011, 33(1): 37-47. . TRIVARIATE ODD DEGREE POLYNOMIAL NATURAL SPLINE INTERPOLATION FOR SCATTERED DATA[J]. Mathematica Numerica Sinica, 2011, 33(1): 37-47.

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