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科技导报 |研究论文 2009 , 27 (0913) : 12 -13
一种基于产生式系统的空间直线拟合方法
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宋玲玲
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    山东省滨州职业学院
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宋玲玲
A Method for Spatial Straight Line Fitting Based on Production System
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    出版时间: 2009-07-13
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    求解设备转动副的高精度实际轴线是提高设备运行精度的重要措施之一,当空间测量点密集时,通常的最小二乘法很难得到正确的拟合直线。研究发现,最小二乘法易造成90°的偏转,即发生偏转后,直线位于理想直线的垂直面内;造成这种偏转的原因是最小二乘法距离函数不是一个单极值函数,发生偏转的直线实际上是取得了其中一个最小值,而非全局的极小值。为防止偏转,提出了一种基于产生式系统的空间直线拟合方法,该方法首先为拟合直线指定一个基本方向,然后通过微分变化,经有限次迭代便可求得理想的拟合直线。该方法能有效避免在使用最小二乘法求取拟合直线时产生的偏转问题,通过在机器人关节轴线测量中的应用证明,该方法在工程实际中有较高的应用价值。
    空间直线拟合  /  产生式系统  /  最小二乘法
    Solving actual high-precision rotation axes of revolute pairs is one of significant initiatives to improve running-precision of a set of equipment. As a classical approach, least square method is difficult to obtain appropriate fitting straight line when measured spatial points are intensive. It was found, through the study on the problem, that least square method causes a 90° deflection easily, that is, straight line after deflection locates in a vertical plane of the ideal straight line, and that the reason resulted in deflection is that distance function of least square method is not a single extreme value function, the occurrence of deflection reaches only one of the minimums rather than the extreme minimum in fact. In order to prevent the deflection, a production system based-on fitting method was proposed for spatial straight line fitting. First, the proposed method specifies a basic direction for the fitting line, and then sets the differential change, at last, through limited iteration, the ideal fitting straight line can be found. The proposed method can effectively avoid the deflection of adopting least square method of straight line fitting, and has been proved with a high value of application in practice through the real joint axes measurement of a robot.
    spatial straight line fitting  /  production system  /  least square method
    宋玲玲. 一种基于产生式系统的空间直线拟合方法. 科技导报, 2009 , 27 (0913) : 12 -13 .
    . A Method for Spatial Straight Line Fitting Based on Production System[J]. Science & Technology Review, 2009 , 27 (0913) : 12 -13 .

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    鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
    小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
    多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
    红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
    小菇属 Mycena 11 5.26
    光柄菇属 Pluteus 5 2.39
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