| 旋转曲面和球面的NURBS表示 |
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| 引用本文： | 康宝生,马翔.旋转曲面和球面的NURBS表示[J].南京航空航天大学学报,1994,26(1):80-87. |
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| 作者姓名： | 康宝生 马翔 |
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| 作者单位： | 南京航空航天大学机械工程系 |
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| 摘 要： | 本文研究了旋转曲面和球面的ＮＵＲＢＳ表示问题，给出了用ＮＵＲＢＳ曲面表示旋转曲面时，计算其控制顶点和权因子的一般公式。利用球极投影导出了球面片的非退化ＮＵＲＢＳ表示。
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| 关 键 词： | 计算机辅助设计 旋转曲面 球极投影 非均匀有理B样条 几何模型 |
On the Representation of Revolution Surface and Sphere by NURBS Polynomial |
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| Kang Baosheng,Ma Xiang,Zhou Rurong.On the Representation of Revolution Surface and Sphere by NURBS Polynomial[J].Journal of Nanjing University of Aeronautics & Astronautics,1994,26(1):80-87. |
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| Authors: | Kang Baosheng Ma Xiang Zhou Rurong |
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| Abstract: | This article discusses the NURBS representation of revolution surface and sphere. For construction revelution surface, the general formula of determining control vertices and weights are given. By means of stereographic projection, the paper presents thenon-degenerate parametrically rational polynomial representation of sphere. |
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| Keywords: | computer aided design revolution surface stereographic projection NURBS geometric modelling |
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