基于推广B 样条细分方法的曲面混合

提出用推广B 样条细分曲面来混合多张曲面的方法，既适用于一般网格曲面，又适 用于推广B 样条参数曲面混合。根据需要选择阶数和张力参数，可全局调整整张混合曲面的形状。 中心点和谷点的计算都设置了形状参数，可局部调整混合部分形状。推导出二次曲面细分初始网 格计算公式，并将3 阶推广B 样条细分曲面混合方法用于多张二次曲面混合，与已有的二次曲面 混合方法相比具有明显的优势。

Surface Blending Based on Generalized B-Spline Subdivision

This article uses generalized B-spline subdivision scheme of arbitrary order with a tension parameter to blend several surfaces, which is suitable to blending both meshes with arbitrary sizes and generalized B-spline control meshes. The shape of blending surfaces can be adjusted globally through changing the order or the tension parameter. Shape parameters are also set during computing central points and valley points. So users can adjust them to locally change the shape of blending section. In addition, we apply the proposed blending method to blend quadrics. The blending results are apparently better than those of existing methods.