首先在研究H-Bézier曲线性质的基础上,给出了H-Bézier曲面在u向和v向两个方向的任意分割算法,并对曲面所具有的特性进行了分析;同时,研究了两片H-Bézier曲面在不同方向G^1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。
First of all,on the basis of study of the properties of H-Bézier curves,the H-Bézier surfaces are defined.The arbitrary subdivision algorithm along both u and v direction is presented,and the properties of subdivided surfaces are analyzed. G^ 1 condition for H-Bézier surfaces in different directions is obtained,and simplified by choosing the control parameters properly.