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中文摘要：
提出一个混合方向导数的新概念，构造了在每一张三角片上为4次、边界曲线也为4次的C^1连续曲面；与Loop引入扭相容条件的求解法相比，所得曲面的次数低2次，更重要的是增加了形状局部可调性．
英文摘要：
We propose a new concept named mixed directional derivative, and then construct C^1- continuity surfaces consisting of some degree four triangular patches which have degree four boundary curves also. Compared with the method proposed by Loop, in which twisting compatibility condition has been introduced, the new method can obtain such good surfaces, their degree is two less than Loop＇s surface, and their form can be locally adjusted.
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