| 偏心圆以及最小二乘圆理论的研究 |
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| 引用本文： | 朱训生,薛秉源.偏心圆以及最小二乘圆理论的研究[J].应用科学学报,1992,10(3):259-264. |
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| 作者姓名： | 朱训生 薛秉源 |
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| 作者单位： | 上海交通大学 |
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| 基金项目： | 国家自然科学基金，上海市自然科学基金课题 |
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| 摘 要： | 给出了偏心圆的严格等式,xc利用这一等式得到了与传统公式类似的最小二乘圆圆心坐标表达式及较传统公式更精确的最小二乘圆半径的表达式.并给出了最小二乘统计意义下的圆度值公式,论证了它与曲线的直流分量及一次谐波无关.
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| 关 键 词： | 偏心圆 拟合圆 半径公式 圆度 |
| 收稿时间： | 1990-10-12 |
| 修稿时间： | 1991-07-15 |
STUDY ON THEORY FOR ECCENTRIC CIRCLE AND LEAST SQUARE CIRCLE |
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| ZHU XUNSHENG XUE BINYUAN.STUDY ON THEORY FOR ECCENTRIC CIRCLE AND LEAST SQUARE CIRCLE[J].Journal of Applied Sciences,1992,10(3):259-264. |
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| Authors: | ZHU XUNSHENG XUE BINYUAN |
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| Institution: | Shanghai Jiao Tong University |
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| Abstract: | A strict equation of eccentric circle is offered in this thesis. Using this equation we get the expression of the coordinates of the least square circle center which is similar to the conventional formula, and the expression of the least square circle radius which is more precise than the conventional formula. Furthermore a formula of the value of roundness is offered in the sense of least square statistics and it is verified that it has nothing to do with the D. 0 component and the primary harmonic wave of the curve. |
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| Keywords: | eccentric circle fitting circle radius formula roundness |
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