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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
【摘要】 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.
【Abstract】 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.
【关键词】 有理二次Bezier曲线;
插值;
G2连续;
逐点生成算法;
【Key words】 rational quadric Bezier curves; interpolation; G~2 continuity; point-by-point generating algorithm;
【Key words】 rational quadric Bezier curves; interpolation; G~2 continuity; point-by-point generating algorithm;
- 【文献出处】 内蒙古大学学报(自然科学版) ,Acta Scientiarum Naturalium Universitatis Neimongol , 编辑部邮箱 ,2004年04期
- 【分类号】TP391.72
- 【被引频次】9
- 【下载频次】118