| 平面上散乱数据点的二次曲线拟合 |
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| 引用本文： | 刘海香,张彩明,梁秀霞.平面上散乱数据点的二次曲线拟合[J].计算机辅助设计与图形学学报,2004,16(11):1594-1598. |
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| 作者姓名： | 刘海香 张彩明 梁秀霞 |
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| 作者单位： | 山东大学计算机科学与技术学院,济南,250061 |
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| 基金项目： | 国家自然科学基金 ( 60 173 0 5 2 )，教育部博士点基金 ( 2 0 0 2 0 42 2 0 3 0 )资助 |
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| 摘 要： | 基于代数距离定义目标函数，在6种不同约束条件下得到6条基本二次曲线，最终的拟合二次曲线由6条基本二次曲线系数加权平均产生．用实例对该方法和其他几种方法拟合曲线的误差作了比较，并讨论了基于代数距离目标函数的几何意义．
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| 关 键 词： | 二次曲线 拟合 最小二乘法 |
Fitting Conic to Scattered Data in a Plane |
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| Liu Haixiang,Zhang Caiming,Liang Xiuxia.Fitting Conic to Scattered Data in a Plane[J].Journal of Computer-Aided Design & Computer Graphics,2004,16(11):1594-1598. |
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| Authors: | Liu Haixiang Zhang Caiming Liang Xiuxia |
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| Abstract: | A new method of conic fitting is presented in the paper The method defines an objective function based on algebraic distance, and obtains six basic conics with six different constraints The final fitting conic is produced by adding certain weights to coefficients of six basic conics The examples for comparing the errors of fitting conics produced by the new method and other methods are included Discussion has been also given in the paper to the geometric meaning of the objective function based on algebraic distance |
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| Keywords: | conic fit least-squares method |
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