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二次曲线的多项式逼近

Approximation of Quadric Curves by Polynomials

  • 摘要: 研究用Bézier曲线或样条逼近任意长二次曲线弧的方法.对不同曲线类型,均得到具有6阶逼近精度的误差函数.并且相邻的Bézier曲线间GC1连续.最后给出任意二次曲线弧近似多项式或多项式样条参数化的算法.

     

    Abstract: Approximation of any quadric curve segments using Bézier polynomials or splines is presented.For different types of quadric curves,the approximation is all six order accurate,and the adjacent approximation curve segments join with GC1 continuity.At last,we give the algorithm of parametric approximation.

     

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