| 摘要: |
| 本文研究了一类加权有理插值曲面的约束控制问题.利用加权组合的方法，得到一类新的形状可调的二元有理插值曲面，推广了NURBS方法在曲面插值中的理论结果. |
| 关键词: 有理插值曲面 形状参数 权因子 基函数 约束形状控制 |
| DOI： |
| 分类号:O241.3 |
| 基金项目:国家自然科学基金（11471093）；安徽省教育厅自然科学重大研究项目（KJ2014ZD30）；中央高校基本科研业务费专项经费（JZ2015HGXJ0175）资助. |
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| RATIONAL INTERPOLATION PATCHES BASED ON FUNCTION VALUE AND CONSTRAINED CONTROL |
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LIU Zhi1, XIAO Kai1, JIANG Ping1, XIE Jin2
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1.School of Mathematics, Hefei University of Technology, Hefei 230009, China;2.Institute of Scientific Computing, Hefei University, Hefei 230601, China
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| Abstract: |
| In this paper, we study the constrained control of a weighted rational interpolation patch. By using the method of weighted combination, we obtain a new class of bivariate rational interpolation surfaces which the shape can be adjustable, which generalize the theoretical results of the NURBS methods in surface interpolation. |
| Key words: rational interpolation surface shape parameters weighting factor basis function constrained shape control |
