C-Bezier曲面分割、拼接及其应用

Subdivision Algorithm and G1 Condition and Aplication for C-Bezier Surfaces

首先在介绍了C-Bezier曲面的几何模型的基础上,给出了C-Bezier曲面在u向和w向两个方向上的任意分割算法,并对曲面所具有的特性进行了分析;同时,研究了两片C-Bezier曲面在不同方向上G1连续的拼接条件,并通过合理选取控制参数,简化了拼接条件。最后,利用分割和拼接技术,结合C-Bezier曲面能够精确表示二次曲面的特性,将C-Bezier曲面推广到常见的工程曲面上。

The geometric model of C-Bezier surfaces is introduced in this paper. On the basis of that, the arbitrary subdivision algorithm of u and w directions is presented, as well as the analysis for properties of subdivised surfaces. On the other hand, G1 condition for C-Bezier surfaces in different directions is obtained, and simplified by choosing the control parameters properly. Then, using these methods, and the property that C-Bezier can exact reproduction of conicoid, this paper extend C-Bezier surfaces to engineering surfaces.