节点文献
双三次NURBS曲面的G~1连续性条件
G~1 continuous conditions for bicubic NURBS surfaces
【摘要】 针对节点向量为端点插值、内部是单节点情形的2个双三次NURBS曲面,给出了它们之间的G1光滑拼接条件,得到它们的公共边界曲线所要满足的本征方程.其中本征方程是NURBS曲面片所独有的现象.
【Abstract】 The G~1 continuity constraints for two bicubic NURBS surfaces with clamped, uniform knot vectors along their common boundary curves are obtained. And the intrinsic conditions of the control points of the common boundary curves, in which the eigen equation is the special phenomenon of NURBS patches, are obtained as well.
【关键词】 NURBS曲面;
几何连续;
边界曲线;
本征方程;
【Key words】 NURBS surface; geometric continuity; boundary curves; eigen equation;
【Key words】 NURBS surface; geometric continuity; boundary curves; eigen equation;
【基金】 NKBRSF资助项目(G1998030600);教育部优秀青年教师基金资助项目;教育部博士学科点专项科研基金资助项目(60073038).
- 【文献出处】 大连理工大学学报 ,Journal of Dalian University of Technology , 编辑部邮箱 ,2004年03期
- 【分类号】O182
- 【被引频次】16
- 【下载频次】184