| 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 |
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| 引用本文： | 刘焕文.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[J].数学学报,1994,37(4):534-543. |
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| 作者姓名： | 刘焕文 |
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| 作者单位： | 广西民族学院数学系!南宁530006 |
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| 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．
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| 关 键 词： | 积分协调条件 积分表示 分层三角剖分 二次样条 维数 |
| 收稿时间： | 1992-5-12 |
| 修稿时间： | 1993-5-19 |
An Integral Representation of Bivariate Splines and the Dimension of Quadratic Spline Spaces over Stratified Triangulation |
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| Liu Huanwen.An Integral Representation of Bivariate Splines and the Dimension of Quadratic Spline Spaces over Stratified Triangulation[J].Acta Mathematica Sinica,1994,37(4):534-543. |
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| Authors: | Liu Huanwen |
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| Institution: | Liu Huanwen (Guangxi Institute for Nationalities, Nanning 53006, China) |
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| Abstract: | 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. |
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| Keywords: | integral conformality condition integral representation stratified triangulation quadratic splines dimension |
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