| C~2光滑插值曲面片 |
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| 引用本文： | 唐向阳.C~2光滑插值曲面片[J].西南民族学院学报(自然科学版),1991(4). |
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| 作者姓名： | 唐向阳 |
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| 作者单位： | 西南民族学院教学系 四川 |
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| 摘 要： | 本文给出一种构造C~2光滑参数三角曲面片的方法,所生成的三角曲面片插值空间R~3中的三个已知点,并以这些点处的已知法向量为三角曲面片在相应点处切平面的法向量。在本文给出的方法中,需要的所有Bezier点均可通过简单的代数显式公式求出,并且Bezier点的个数被减少,为在微机上产生复杂插值曲面打下了较好的基础。
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| 关 键 词： | 计算机辅助几何设计 三角曲面片 Bezier点 C~2光滑性 插值 |
C~2 Continue Interpolation Surface Patch |
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| Tana Xiangyang.C~2 Continue Interpolation Surface Patch[J].Journal of Southwest Nationalities College(Natural Science Edition),1991(4). |
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| Authors: | Tana Xiangyang |
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| Institution: | Tana Xiangyang |
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| Abstract: | A method is introduced for constructing a C~2 smooth partametric triangular surface patchthat interpolates three given points in R3 and has norma1 vectors of its tangent planes whichare the same as those on the given points respectively. All the Beziet points needed can begiven by simple explicit algebraic expression, and the number of Bezier points is reduced.which makes a good base for geneating a more complex interpolating surface on microcompu-ters. |
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| Keywords: | computer-aided geometric design triangular surface control point C~2 continue interpolatiou |
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