| 有理曲线曲面的降阶逼近 |
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| 引用本文： | 覃廉,关履泰.有理曲线曲面的降阶逼近[J].中国图象图形学报,2006,11(8):1062-1067,I0001,I0002. |
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| 作者姓名： | 覃廉 关履泰 |
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| 作者单位： | 中山大学科学计算与计算机应用系 广州510275 |
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| 基金项目： | 国家自然科学基金;广东省自然科学基金 |
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| 摘 要： | 基于齐次坐标空间，提出了一种NURBS曲线曲面和有理Bezier曲线曲面降阶的简便方法。在齐次坐标空间中，使降阶后的曲线曲面与原曲线曲面的差的L2范数达到极小，将有理曲线曲面降多阶问题转化为二次规划问题求解，并给出了误差估计。实验结果表明，该方法计算速度快，降阶逼近效果好。
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| 关 键 词： | 有理Bezier 降阶 二次规划 |
| 文章编号： | 1006-8961（2006）08-1062-06 |
| 收稿时间： | 2005-03-17 |
| 修稿时间： | 2005-03-172005-09-27 |
Approximate Degree Reduction of Rational Curves and Surfaces |
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| QIN Lian.Approximate Degree Reduction of Rational Curves and Surfaces[J].Journal of Image and Graphics,2006,11(8):1062-1067,I0001,I0002. |
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| Authors: | QIN Lian |
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| Abstract: | Based on homogeneous coordinates, this paper presents a convenient algorithm for approximate degree reduction of NURBS and rational Bezier curves and surfaces. In homogeneous coordinates, the difference of the low degree curve/ surface and high degree curve/surface is minimized. The problem of approximate multi-degree reduction of rational curves and surfaces is transformed into quadratic programming. Error estimate is presented. Experimental results show that this algorithm is very efficient. |
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| Keywords: | NURBS |
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