二元样条的积分表示及分层三角剖分下二次样条空间的维数  

An Integral Representation of Bivariate Splines and the Dimension of Quadratic Spline Spaces over Stratified Triangulation

作　　者：刘焕文[1] 

机构地区：[1]广西民族学院数学系,南宁530006

出　　处：《数学学报（中文版）》1994年第4期534-543,共10页Acta Mathematica Sinica：Chinese Series

摘　　要：本文通过引入一个积分协调条件，首次给出了二元样条的一个积分表示．文中还定义了平面单连通多边形区域的所谓分层三角剖分，并确定了此剖分下二次样条空间的维数．In this paper, by introducing an integral conformality conditions, an integral rep- resentation of bivariate spline functions is given. Then, a new kind of so-called stratified triangulation of a simply connected planar polygonal region is introduced. Finally , the dimension of quadratic spline space associated with the stratified triangulation is determined.

关 键 词：积分表示 分层三角剖分 二次样条 

分 类 号：O241.5[理学—计算数学]