基于有理二次Bezier曲线的G^2连续的插值曲线

An Interpolating G^2 Continuous Closed Curve Based on Rational Quadric Bezier curves

给出有理二次Bezier曲线G2连续的条件,通过对条件中权因子的调整,构造一条能过所有控制点G2连续的插值曲线.在此曲线的绘制中使用了一种快速逐点生成算法,该算法只用到加减法,较大的提高了效率.

The G^2 continuity conditions of the rational quadric Bezier curves is introduced.By adjusting the weights of the conditions,which is a new global G^2 continuous interpolartion curve through all controlled points is constriucked.In the process of generating the curve,a fast point-by-point generating algorithm is used,and in it only integer additive and subtractive operations are involved,so the results demonstrate the effectiveness of it.