| B样条曲线曲面的降阶方法 |
| |
| 引用本文： | 覃廉,关履泰. B样条曲线曲面的降阶方法[J]. 中山大学学报(自然科学版), 2006, 45(4): 19-23 |
| |
| 作者姓名： | 覃廉 关履泰 |
| |
| 作者单位： | 中山大学科学计算与计算机应用系,广东,广州,510275 |
| |
| 基金项目： | 国家自然科学基金;香港中山大学校科研和教改项目 |
| |
| 摘 要： | 基于优化技术,给出了B样条曲线曲面降阶的简便方法,曲线曲面降多阶问题只需要求解一个线性方程组。该方法不管是算法复杂性还是降阶逼近效果都明显好于之前方法,最后还进行了解的存在性分析和误差分析。
|
| 关 键 词： | B样条 曲线曲面降阶 二次规划 |
| 文章编号： | 0529-6579（2006）04-0019-05 |
| 收稿时间： | 2005-05-19 |
| 修稿时间： | 2005-05-19 |
An Algorithm for Degree Reduction of B-Spline Curves and Surfaces |
| |
| QIN Lian,GUAN Lü-tai. An Algorithm for Degree Reduction of B-Spline Curves and Surfaces[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2006, 45(4): 19-23 |
| |
| Authors: | QIN Lian GUAN Lü-tai |
| |
| Affiliation: | Department of Scientific Computation and Computer Applications, Sun Yat-Sen University, Guangzhou 510275,China |
| |
| Abstract: | Based on the optimization technique,a convenient algorithm for degree reduction of B-Spline curves and surfaces is presented.Multi-degree reduction of B-Spline curve and surface is achieved by solving systems of linear equations.The algorithm complexity and the approximation result of the algorithm are better than conventional algorithms.In the end the existence of solution and the error are analyzed. |
| |
| Keywords: | B-Spline degree reduction of curves and surfaces quadratic programming |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
