B样条曲面间<i>G</i>1连续条件及局部格式构造问题

B样条曲面间G1连续条件及局部格式构造问题

摘要: 研究了内部单节点张量积B样条曲面间G¹连续的条件.通过选择特殊类型的拼接函数,打破了公共边界必须是整体多项式曲线的限制,给出了以内部单节点双四次B样条曲面为工具、使用局部格式构造G¹连续曲面的算法.最后给出了计算实例.

Abstract: The G¹ continuity conditions between tensor product B-spline surfaces with single interior knots are studied.By means of selecting a special kind of blending functions,we broke the restriction that the common boundary must be a polynomial curve.Then we presented an algorithm to construct a G¹continuous surface of biquartic B-spline surface patches with single interior knots by carrying out local scheme.