中文摘要：

通过一类代数三角混合Bézier型曲线的定义,构造了一类C2连续的带有局部形状控制参数的代数三角混合Bézier型插值曲线。一方面继承了Bézier插值曲线的特性,另一方面可以利用形状控制参数灵活调节曲线形状,进一步增强了曲线曲面的表现能力。

英文摘要：

A class of C2 continuous algebraic trigonometric blending Bézier-type interpolation curves with local shape parameters is constructed based on the definition of free form algebraic trigonometric blending Bézier-type curves. The introduced curve inherits some characteristics of Bézier interpolation curve. Meanwhile, the shape of curve can be adjusted freely by the introduced local control parameters.