Abstract: The motivation of this paper is to develop a scheme of constructing G1/G2 smooth B-spline surfaces with single knots.According to the continuity conditions between the B-spline curves, these derivative curves of the two surfaces are transformed into some Bézier curves by discreting and knot-refining.Depending on the continuity conditions between the Bézier surfaces,we obtain the relation of the control points which belong to the two B-spline surfaces. At last the G1/G2 smooth B-spline surfaces are realized.

Key words: B-spline surface, G1/G2 smooth, knot refinement, Discrete B-spline

摘要： 文中提出了一种构造具有简单结点的B样条曲面G1/G2光滑拼接的方法。本方法根据B样条曲面达到拼接的条件，经过对原曲面和待拼接曲面的偏导曲线进行离散化处理和结点调整,将其转化为Bézier的表示方式。根据Bézier的拼接条件，获得B样条曲面间控制点的关系。最终实现B样条曲面G1/G2的光滑拼接。

关键词: B样条曲面, G1/G2拼接, 结点调整, 离散B样条