| 混合细分曲线及其应用 |
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| 引用本文： | 王栋,张曦,李桂清.混合细分曲线及其应用[J].计算机辅助设计与图形学学报,2007,19(3):286-291. |
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| 作者姓名： | 王栋 张曦 李桂清 |
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| 作者单位： | 华南农业大学信息学院,广州,510642;华南理工大学计算机科学与工程学院,广州,510640 |
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| 基金项目： | 国家自然科学基金
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广东省自然科学基金 |
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| 摘 要： | 构造了2个混合细分模式,一个是基于三次B样条细分的二分混合细分曲线族;另一个是基于一种三分三点逼近细分的三分混合细分曲线族.通过调整混合参数来控制曲线的收缩与膨胀幅度,利用生成函数技术和特征值方法对这2个带参数的细分模式的连续性进行了严格的理论分析.最后,通过选择合适的混合参数给出了一种曲线保长的动态细分方法.
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| 关 键 词： | 混合细分 连续性 生成函数 多分辨率 曲线保长 |
| 收稿时间： | 2006-07-17 |
| 修稿时间： | 2006-07-172006-11-28 |
Blending Subdivision Curves and Their Applications |
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| Wang Dong,Zhang Xi,Li Guiqing.Blending Subdivision Curves and Their Applications[J].Journal of Computer-Aided Design & Computer Graphics,2007,19(3):286-291. |
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| Authors: | Wang Dong Zhang Xi Li Guiqing |
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| Abstract: | This paper designs two families of blending subdivisions based on known approximatory subdivisions. One is a binary blending subdivision based on the cubic B-splines, the other is a ternary blending subdivision based on the ternary 3-point subdivision. The approach provides a way to control the length of generated curves by introducing a blending parameter. Continuity analysis based on generating functions demonstrates that two families of blending subdivisions are C2 continuous in most cases. As an application, a length-preserving subdivision strategy is also proposed in the paper. |
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| Keywords: | blending subdivision continuity generating function muhiresolution length-preserving |
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