| 拟合二次方程球用于测量与评定全球球度的研究 |
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| 引用本文： | 朱训生 任新生. 拟合二次方程球用于测量与评定全球球度的研究[J]. 应用科学学报, 1997, 15(1): 41-47 |
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| 作者姓名： | 朱训生 任新生 |
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| 作者单位： | 上海交通大学 |
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| 摘 要： | 该文指出球度评定的ＬＳＳ法对坐标平移不具不变性，故将平面上二次方程拟事圆的方法发展为空间二次方程拟合球的方法，得出了ＱＥＳ法对坐标变换具有不变性。首次提出了测全球时球翻转所产生的二次定位误差的消除方法和二次方程误差的计算公式。
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| 关 键 词： | 二次方程球 球度误差 球度评定 球面测量 |
STUDY ON SPHERICITY MEASUREMENT AND EVALUATION OF A SPHERE BY FITTING A QUTARATIC EQUATION SPHERE |
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| ZHU XNUNSHENG REN XINSHENG LIU GUOLIANG XUE BINGYUAN. STUDY ON SPHERICITY MEASUREMENT AND EVALUATION OF A SPHERE BY FITTING A QUTARATIC EQUATION SPHERE[J]. Journal of Applied Sciences, 1997, 15(1): 41-47 |
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| Authors: | ZHU XNUNSHENG REN XINSHENG LIU GUOLIANG XUE BINGYUAN |
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| Abstract: | This paper indicates that LSS (least square sphere) sphericity error doesn 't keep invariant with respect to coordinates translation but QES (quadratic equation sphere) sphericity error can. Method which can efficiently eliminate the twice positional error as a result of turning over the sphere for its full shape test has been firstly. proposed, and the formula of QES sphericity error has been esta- blished by means of QES fitting. |
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| Keywords: | quadratic equation sphere full sphere sphericity sphericity evaluation |
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