In this paper, a new approach based on perturbation method is proposed for the piecewise polynomial approximation of rational curves and surfaces.

• 本文利用摄动的思想，以摄动有理曲线（曲面）的系数的无穷模作为优化目标，给出了用多项式曲线（曲面）逼近有理曲线（曲面）的一种新方法。