| 有理曲面的区间隐式化 |
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| 引用本文： | 李亚娟,陈文喻,汪国昭. 有理曲面的区间隐式化[J]. 计算机辅助设计与图形学学报, 2006, 18(7): 936-941 |
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| 作者姓名： | 李亚娟 陈文喻 汪国昭 |
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| 作者单位： | 浙江大学数学系计算机图形图像研究所,杭州,310027;浙江大学数学系计算机图形图像研究所,杭州,310027;浙江大学数学系计算机图形图像研究所,杭州,310027 |
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| 基金项目： | 国家自然科学基金;科技部科研项目 |
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| 摘 要： | 利用一个低阶多项式区间隐式曲面来包围所给的参数式有理曲面,并构造了一些关于区间隐式曲面厚度和微分张量的目标函数.在最小化这些目标函数的条件下,该区间隐式曲面的中心曲面可以近似地逼近有理曲面,其逼近的误差可以利用区间隐式曲面的区间宽度进行估计.最后提供了具体的算法和一些实例.
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| 关 键 词： | 有理曲面 区间算术 区间隐式曲面 区间隐式化 |
| 收稿时间： | 2005-05-30 |
| 修稿时间： | 2005-12-16 |
Interval Implicitization of Rational Surfaces |
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| Li Yajuan,Chen Wenyu,Wang Guozhao. Interval Implicitization of Rational Surfaces[J]. Journal of Computer-Aided Design & Computer Graphics, 2006, 18(7): 936-941 |
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| Authors: | Li Yajuan Chen Wenyu Wang Guozhao |
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| Affiliation: | Institute of Computer Graphics and Image Processing, Department of mathematics, Zhejiang University, Hangzhou 310027 |
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| Abstract: | In this paper, we put forward a new method called interval implicitization of rational surfaces, that is, finding an interval algebraic surface with lower degree to bound a given rational surface and minimize some objective function involving the width and the tension of the interval algebraic surface. The center implicitization surface can approximate the given rational surface within some tolerance. By solving three optimal problems, an algorithm is proposed to compute tb, e interval implicit representation of a rational surface, and some examples are provided to demonstrate the algorithm. |
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| Keywords: | rational surface interval arithmetic interval algebraic surface interval implicitization |
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