基于相对方向构造Gn连续过渡曲面

针对Erich Hartmann方法构造Gn连续过渡曲面时基曲面间t向相对方向相冲突的问题,提出了3种新的线性组合方法.该方法构造了在t向相对方向相冲突情形下Gn连续的过渡曲面.应用该方法在过渡切触线邻近基曲面的相对边界和基曲面上邻近切触线附近的区域曲率变化较大的情形下,构造了Gn连续的过渡曲面,解决了重新参数化局部基曲面间t向相对方向相冲突的问题.

Generation of Parametric Gn Blending Surfaces Based on Relative Direction of the Base Surfaces

The problem in which t-directional relative directions between both base surfaces are conflicting when generating Gn blending surfaces by Erich Hartmann's method is investigated.Three new linear combinations between both base surfaces are presented when the t-directional relative directions are conflicting.And Gn blending surfaces are generated by the method.When contact curves are close to the relative boundaries of the two base surfaces or the change of the curvature of partial region near the contact curves on base surface is great,Gn blending surfaces can also be generated by the method.The problem that the t-directional relative direction is conflicting between two reparameterized local base surfaces is thus resolved.