| 曲面四参数四点细分方法 |
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| 引用本文： | 赵宏庆,彭国华,叶正麟,郑红婵. 曲面四参数四点细分方法[J]. 计算机辅助设计与图形学学报, 2006, 18(6): 800-804 |
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| 作者姓名： | 赵宏庆 彭国华 叶正麟 郑红婵 |
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| 作者单位： | 西北工业大学理学院,西安,710072;西北工业大学理学院,西安,710072;西北工业大学理学院,西安,710072;西北工业大学理学院,西安,710072 |
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| 摘 要： | 对经典的四点细分格式进行推广,提出了可通过对形状参数的适当选择来实现对极限曲线形状调整和控制的四参数四点细分曲线造型方法.把该方法扩展到曲面上,对其收敛性进行了分析,同时给出了曲线C0到C3连续和曲面连续的充分条件.
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| 关 键 词： | 四点细分 极限曲面 曲面造型 |
| 收稿时间： | 2005-05-03 |
| 修稿时间： | 2005-10-31 |
A 4-Point Subdivision Scheme with Four Parameters for Surface Design |
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| Zhao Hongqing,Peng Guohua,Ye Zhenglin,Zheng Hongchan. A 4-Point Subdivision Scheme with Four Parameters for Surface Design[J]. Journal of Computer-Aided Design & Computer Graphics, 2006, 18(6): 800-804 |
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| Authors: | Zhao Hongqing Peng Guohua Ye Zhenglin Zheng Hongchan |
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| Abstract: | This paper extends the classical 4-point interpolating subdivision scheme,and brings forward a new 4-point subdivision scheme with four parameters for curve design, which can be controlled by choosing the parameters appropriately. At the same time, we extend it to surface design, and its uniform convergence is investigated. In addition, some sufficient conditions for curve C^0 to C^3 continuity and those for surface continuity of the subdivision scheme are provided. |
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| Keywords: | 4-point subdivision limit surface surface modeling |
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