双三次NURBS曲面的G^1连续性条件  

G^1 continuous conditions for bicubic NURBS surfaces

作　　者：于丕强[1] 施锡泉[1] 

机构地区：[1]大连理工大学应用数学系,辽宁大连116024

出　　处：《大连理工大学学报》2004年第3期330-333,共4页Journal of Dalian University of Technology

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).

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.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：双三次NURBS曲面 几何连续 边界曲线 本征方程 连续性条件 

分 类 号：O186.11[理学—数学]