C-Bézier曲线曲面的扩展

Extensions of C-Bézier curves and surfaces

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。

C-Bezier 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-Bezier curves and surfaces and combine the main properties of C-Bezier curves and surfaces.G1 and C1 link conditions of quadratic C- Bezier curves with two shape parameters and G1,C1,G2 link conditions of cubic C-Bezier curves with three shape parameters are presented.