%0 Journal Article
%T TRIVARIATE ODD DEGREE POLYNOMIAL NATURAL SPLINE INTERPOLATIONFOR SCATTEREDDATA<br>三奇次散乱点多项式自然样条插值
%A Xu Yingxiang
%A Guan Lütai
%A Xu Weizhi
%A <br>徐应祥
%A 关履泰
%A 许伟志
%J 计算数学
%D 2011
%I 
%X 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.
%K scattered data interpolation
%K trivariate odd degree polynomial
%K natural spline<br>散乱数据插值
%K 三奇次多项式
%K 自然样条
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=844AA66BB344A4937D46AD81950083C0&yid=9377ED8094509821&vid=27746BCEEE58E9DC&iid=CA4FD0336C81A37A&sid=42425781F0B1C26E&eid=F4B561950EE1D31A&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=20