| 有理曲线和曲面的分片多项式逼近 |
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| 引用本文： | 方燕.有理曲线和曲面的分片多项式逼近[J].大学数学,1999(1). |
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| 作者姓名： | 方燕 |
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| 作者单位： | 云南工业大学应用数学系 |
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| 基金项目： | 云南工业大学校立科研基金 |
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| 摘 要： | 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．同以前的各种方法相比，该方法不仅收敛而且具有更快的收敛速度，并且可以与细分技术相结合，得到有理曲线与曲面的整体光滑、分片多项式的逼近．
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| 关 键 词： | 有理曲线 有理曲面 多项式曲线 多项式曲面 摄动 逼近 线性规划 |
Piecewise polynomial Approximation of Rational Curves and Surfaces |
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| Fang Yan.Piecewise polynomial Approximation of Rational Curves and Surfaces[J].College Mathematics,1999(1). |
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| Authors: | Fang Yan |
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| Abstract: | In this paper, a new approach based on perturbation method is proposed for the piecewise polynomial approximation of rational curves and surfaces. Infinite norm for the coefficients of perturbing rational curves and surfaces is taken as the optimization target. The proposed new approach obtains a better convergence speed than existing methods as well as converges. Besides, it can be combined with subdivision technique to achieve continuous polynomial approximations to rational curves and surfaces. |
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| Keywords: | rational curve rational surface polynomial curve polynomial surface perturbation approximation linear programming |
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