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中文摘要：
在三角形域上利用两类C-Hermite多项式构造c1连续的两种形式的C-Coons曲面片，构造的三角曲面片均含有形状参数α，调整α的值，可改变曲面的内部形状，而不影响曲面的边界形状；当形状参数α趋于0时，可退化为通常的边一边与边一点方法插值的曲面片。最后，通过例子比较显示了该方法的实际效果。
英文摘要：
This paper constructed two kinds of C-Coons patches with C1 -continuity by two classes of C-Hermite polynomial functions on triangles. Triangular C-Coons patches presented extensions of the side-side method and side-vertex method, because these shapes depended on shape parameter a and changing the value of α, it could adjust the interior shape of the pat- ches, but didn＇t influence the boundary shape of the patches. When the limiting case for α→0, constructed patches were the triangular Coons patches. At last, examples illustrate the method of constructing surface is very useful for surface design.
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