基于de Casteljau算法的Poisson细分曲线

Subdivision Scheme for Poisson Curves Based on de Casteljau Algorithm

de Casteljau算法可以递推地定义一条具有限个控制顶点的Bzier曲线,在此基础上文中提出了基于de Casteljau算法的Poisson细分曲线逼近算法,Poisson曲线完全具备了Bzier曲线的重要性质,并且比Bzier曲线有更广泛的应用范围。最后还给出了n阶Poisson曲线的细分。

The de Casteljau evaluation algorithm applied to a finite sequence of control points defines a Bézier curve. The evaluation algorithm also generates a subdivision scheme. An approximating subdivision scheme is presented for Poisson based on de Casteljau algorithm. The properties of Poisson curves are the same as which of the Bézier curves. In addition, in contrast with Bézier curves, Poisson curves have a broad applied range. Subdivision scheme is presened for Poisson degree n in the last.