摘要
本文得到了非均匀重内节点邻接B样条曲面间G1连续的充要条件 ,给出了一类G1连续的充分条件 ;基于对B样条曲线参数连续性的分析 ,本文着重给出了这类充分条件成立的内在约束 ,即对公共边界控制顶点的约束条件 .
The necessary and sufficient conditions of G1 continuity between two non-uniform B-spline surfaces (duplicated interior knot) are obtained,and a kind of sufficient conditions of G1 continuity are presented.Morever we have discussed partically the intrinsic conditions under such sufficient conditions of G1 continuity,namely the constraint conditions for the control points of the common boundary.
出处
《应用数学》
CSCD
北大核心
2004年第3期410-416,共7页
Mathematica Applicata
关键词
B样条曲面
G^1连续
约束条件
分段多项式函数
节点
CAGD
B-spline surface
G1 continuity
Constraint conditions
Knot refinement
Knot removal
Piecewise polynomial function
