| 有一个内网点的多边形区域上的多项式样条函数光滑连接问题 |
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| 引用本文： | 许爽爽,于巍.有一个内网点的多边形区域上的多项式样条函数光滑连接问题[J].辽宁师范大学学报(自然科学版),2011,34(3). |
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| 作者姓名： | 许爽爽 于巍 |
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| 作者单位： | 沈阳工业大学基础部,辽宁沈阳,110870 |
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| 摘 要： | 应用光滑余因子方法,从多元样条空间的协调方程出发,研究具有一个内网点的多边形区域内不存在贯穿三角剖分条件下的两个二元二次多项式样条函数的光滑连接问题,给出了这样两个二元二次样条函数自然连接为一个二元二次样条函数的条件.并应用所得结论给出曲面光滑连接的一个例子.
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| 关 键 词： | 二元二次多项式样条函数 光滑连接 光滑余因子 |
The connection problem of polynomial spline surfaces on polygonal region which has one interior net point |
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| XU Shuang-shuang,YU Wei.The connection problem of polynomial spline surfaces on polygonal region which has one interior net point[J].Journal of Liaoning Normal University(Natural Science Edition),2011,34(3). |
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| Authors: | XU Shuang-shuang YU Wei |
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| Institution: | XU Shuang-shuang,YU Wei(Department of Foundation,Shenyang University of Technology,Shenyang 110870,China) |
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| Abstract: | In this paper,by applying the method of smooth co-factors the smooth connection problem of the bivariate quadratic polynomial spline functions on some triangulations has been developed.Based on the coordinating equations of multivariate spline space,we obtain the conditions on which the smooth connection of two spline surfaces can be realized,and give an example of the polygonal region being uncross-cut partition. |
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| Keywords: | bivariate quadratic spline surface smooth connection smooth co-factor |
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