摘要
非均匀有理Ｂ样条（ＮＵＲＢＳ）曲线、曲面造型方法，是当前ＣＡＤ／ＣＡＭ领域研究热点之一，大量的基于ＮＵＲＢＳ的实用造型系统得到发展。对ＮＵＲＢＳ而言，虽然具有参数连续性，但为了实用需要，仍需构造具有一定光滑程度的合成曲面，满足局部设计和修改的目的。本文给出了实用的具有二次公共边界曲线的ＮＵＲＢＳ曲面片Ｇ１光滑拼接条件，得到了相应控制顶点、权系数的具体算法；对于一个已知ＮＵＲＢＳ曲面，构造另一个ＮＵＲＢＳ曲面，使其达到Ｇ１拼接是简单易行的。
Non-uniform rational B-spline (NURBS) curves and surfaces are becomingincreasingly widespread.This paper presents a practical G1 continuity condition between adjacent NURBS patches along common guadratic boundary curve and deduces a specific algorithms for control points and weights of NURBS patches. For making anotherNURBS patch and one given NURBS patch to attain G1, according to algorthms condition, we can adjust the relative control points and weights of another patch.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
1996年第3期227-233,共7页
Journal of Computer-Aided Design & Computer Graphics
基金
国家教委"跨世纪优秀人才培养计划"基金
关键词
曲面造型
B样条
几何连续
CAD
CAM
surface modelling, non-uniform rational B-spline, geometric continuity.
