B-样条曲面的G^1连续性

G^1 continuity of B-spline surfaces

得到了关于两个双三次内部重结点B 样条曲面片G1连续的充分必要条件和在公共边界线上控制向量的本征条件,这些条件直接由两个B 样条曲面的控制向量表示.利用本文所给的条件,得到了具有局部性质且是真正G1光滑的曲面模型.

The conditions of G1 continuity between two adjacent bicubic Bspline surface with double interior knots along their common boundary curve are obtained. The conditions are directly expressed by the control points of the two Bspline surface. Using the conditions presented, a local scheme of true G1 continuity over an arbitrary Bspline surface network is obtained. 