摘要
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。该方法根据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。
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.
出处
《计算机工程与应用》
CSCD
北大核心
2007年第14期60-63,共4页
Computer Engineering and Applications
基金
北京市教育委员会科技发展计划面上项目(No.KM200410028013)
北京市教育委员会科技发展计划重点项目(No.KZ200710028014)
