多元散乱数据的样条插值法  

A SPLINE INTERPOLATION METHOD TO MULTIVARIATE SCATTERED DATA

作　　者：李岳生[1] 胡日章[1] 

机构地区：[1]中山大学

出　　处：《高等学校计算数学学报》1990年第3期215-226,共12页Numerical Mathematics A Journal of Chinese Universities

摘　　要：平面离散数据拟合问题已有相当广泛的讨论。但多数结果是关于格子点数据的。一些方法基于构造再生核。 本文利用带广义约束条件的变分方法,解决任意散乱布点的多元插值问题。具体做法是作一矩形使插值点组落在其上,通过矩形域上带插值条件约束的泛函极小。This paper develops a spline interpolation method to mulitivariatc scattered data.A suitable spline function space is constructed and existence,uniqueness,characteristics and optimal approximation porpcrtics of the solution arc established.The method can easily be carried out in a computer by solving a symmetric linear algebraic system and is more fiexblc and applicable than a tensor product spline interpolation.Some numerical examples arc given.

关 键 词：多元散乱数据 样条插值法 变分法 

分 类 号：O241.3[理学—计算数学]