| 基于OpenGL的双三次B样条曲面分类与实现 |
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| 引用本文： | 赵越,吴初汉. 基于OpenGL的双三次B样条曲面分类与实现[J]. 实验科学与技术, 2008, 6(3): 47-50 |
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| 作者姓名： | 赵越 吴初汉 |
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| 作者单位： | 云南大学数学系,昆明,650091 |
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| 基金项目： | 云南大学校科研和教改项目 , 云南大学校科研和教改项目 |
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| 摘 要： | 首先，根据双三次B样条曲面的定义对双三次B样条曲面按节点向量中的分布情况不同，将其分为均匀的双三次B样条曲面、开放性均匀双三次B样条曲面、分段Bezier双三次B样条曲面、非均匀双三次B样条曲面4种类型，同时阐述了4种类型按控制点和节点向量对曲面控制的优缺点。然后，利用OpenGL中给定的函数从向量间距确定，双三次B样条网格特征定义到双三次B样条曲面的接口函数使用，完成上述各类双三次B样条曲面的绘制。
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| 关 键 词： | 双三次B样条曲面 开放图形处理库 分类 非均匀B样条 |
Bi-cubic B-spline Surface Classification and Implementation Based on OpenGL |
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| ZHAO Yue,WU Chu-han. Bi-cubic B-spline Surface Classification and Implementation Based on OpenGL[J]. Experiment Science & Technology, 2008, 6(3): 47-50 |
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| Authors: | ZHAO Yue WU Chu-han |
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| Affiliation: | (Department of Mathematics, Yunnan University, Kunming 650091, China) |
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| Abstract: | According to the different distribution of bi-cubic B-spline surface nodes, it can be divided into the following types:uniform bi-cubic B-spline surface, open uniform bi-cubic B-spline surface, sub-Bezier bi-cubic B-spline surface and non-uniform bi-cubic B-spline surface. The advantages and disadvantages of control on the surface are presented for the four types. Using OpenGL function in a given distance from the vector identified, bi-cubic B-spline grid feature definition to bi-cubic B-spline surface of the interface functions to use, various types of bi-cubic B-spline surface mapping are implemented. |
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| Keywords: | Bi-cubic B-spline surface OpenGL Classification NURBS |
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