激光扫描球形偏心引起误差的理论分析

Theoretical analysis of error induced by laser scanning spherical eccentricity

为了研究激光测距扫描仪在测量过程中,由于激光扫描中心与被测球形中心存在一定偏心距时对激光扫描精准度的影响,采用数形结合与公式推导的方法,对偏心距e导致的激光扫描偏差值进行了理论分析,建立了数学模型和公式推算验证,分析了影响激光扫描轮廓偏差几个因素之间的相互关系,得到了当随着半径R增大,偏心引起的误差不会超过2e的结论。结果表明,通过对提出的偏心误差修正方法进行公式验证,将扫描中心与被测球形中心两坐标轴等效变换至同一坐标系下,可减小偏心距e对激光扫描轮廓造成的偏差影响。

In order to study the effect on the laser scanning accuracy because of a certain eccentricity between the laser scanning center and the spherical test center during the measurement , after setting up a mathematical mode and deducing a calculation formula , the laser scanning deviation caused by eccentricity e was analyzed theoretically .The relationship of the several effect factors of laser scanning contour deviation was analyzed .The conclusion was reached that that eccentricity error does not exceed 2e with the increase of radius R.The results show that the impact of eccentricity e on the laser scanning contour deviation can be reduced after both the axes of the scan center and the measured spherical center are transformed to the same coordinate system equivalently .