Abstract: C-Bézier curves and surfaces with multiple shape parameters is constructed by an integral approach.The shape of the curves and surfaces can be adjusted entirely or locally by changing the values of the shape parameters.They include the C-Bézier curves and surfaces and combine the main properties of C-Bézier curves and surfaces.G¹ and C¹ link conditions of quadratic C-Bézier curves with two shape parameters and G¹，C¹，G² link conditions of cubic C-Bézier curves with three shape parameters are presented.

摘要： 运用积分定义的方式，构造了带多形状参数的C-Bézier曲线曲面，改变形状参数的值，能整体或局部调控曲线曲面的形状。它们包含C-Bézier曲线曲面为其特例且具有C-Bézier曲线曲面的主要性质。还给出了带2个形状参数的二次C-Bézier曲线段G¹和C¹拼接条件以及带3个形状参数的三次C-Bézier曲线段G¹、C¹和G²拼接条件。