中文摘要：

在三角形域上利用两类含形状参数的三角Hermite多项式构造C1连续的两种形式的带形状参数的Coons曲面片。构造的三角曲面片均含有形状参数λ,调整λ的值,可改变曲面的内部形状,而不影响曲面的边界形状。给定的方法是对通常的边-边法和边-点法的扩展。给出的两个实例显示了方法的有效性。

英文摘要：

Two kinds of Cl-continuity Coons patches with shape parameter are constructed by two classes of trigonometric Hermite polynomial functions on triangles.Triangular Coons patches with shape parameter present extensions of the Side-Side method and Side-Vertex method.The shapes of Coons patches depend on shape parameter λ.Changing the value of λ,one can adjust the interior shape of the patches,but doesn＇t influence the boundary shape of the patches.At last,examples illustrate the method of constructing surface is very useful for surface design.