| Doo-Sabin细分算法在动态模式下的推广 |
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| 引用本文： | 徐岗,汪国昭.Doo-Sabin细分算法在动态模式下的推广[J].计算机辅助设计与图形学学报,2006,18(3):341-346. |
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| 作者姓名： | 徐岗 汪国昭 |
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| 作者单位： | 浙江大学数学系计算机图象图形研究所,杭州,310027 |
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| 基金项目： | 中国科学院资助项目;科技部科研项目 |
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| 摘 要： | 提出一种基于均匀三角多项式B样条的动态保凸细分算法，它可以看作Doo-Sabin细分算法在动态模式下的一个推广．其细分规则基于张量积曲面细分模式的几何意义，不仅可以生成旋转曲面等特殊曲面，而且可以根据参数来控制细分曲面的形状．最后运用传统的离散傅里叶技术和特征根方法证明了该细分算法的收敛性．
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| 关 键 词： | Doo-Sabin细分 均匀三角B样条 保凸 动态细分 旋转曲面 |
| 收稿时间： | 2005-04-06 |
| 修稿时间： | 2005-07-11 |
An Extension of Doo-Sabin Subdivision Algorithm Based on the Dynamic Scheme |
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| Xu Gang,Wang Guozhao.An Extension of Doo-Sabin Subdivision Algorithm Based on the Dynamic Scheme[J].Journal of Computer-Aided Design & Computer Graphics,2006,18(3):341-346. |
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| Authors: | Xu Gang Wang Guozhao |
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| Affiliation: | Institute of Image Processing and Computer Graphics, Department of Mathematics, Zhejiang University, Hangzhou 310027 |
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| Abstract: | We present a new dynamic convexity preserving subdivision scheme based on the bi-quadratic uniform trigonometric polynomial B-spline. This scheme can be considered as an extension of the Doo-Sabin scheme in the dynamic case. The subdivision rules based on the geometric interpretation of the tenor product scheme, and it can reproduce the surfaces of revolution. Furthermore, we can control the shape of the limit surface by modifying the shape parameter. The convergence of the scheme is proved in the paper by the traditional discrete Fourier technigue and the eigenvalue method. |
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| Keywords: | Doo-Sabin subdivision uniform trigonometric B-spline convexity preserving dynamic subdivision surfaces of revolution |
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