基于罗德里格矩阵转换和牛顿迭代法的角度定位方法

The Angle Positioning Method Based on Rodriger Matrix Transformation and Newton Iteration Method

在很多应用场合中,需要对物体上的某些点进行高精度角度定位,如基于干涉仪体制测向系统的外辐射校正中的找法线,需要精确地对干涉仪天线进行角度定位,找到天线的法线。针对与以上场合类似的多种应用场景,提出一种角度定位方法,该方法结合基于罗德里格矩阵的空间坐标转换和牛顿迭代法,可实现利用移动定位装置对物体上的任意点进行角度定位。相比传统的角度定位方法,该方法精度高,且可一次性完成物体的多处角度定位。

In many applications,it is necessary to get high-precision angle of some points on an object,such as center-line locating of external radiation correction in the direction-finding system for interferometer.To find the center-line,it is necessary to get the high-precision angle of phase interferometer.So an optimal positioning method based on the Rodriger matrix and the Newton iteration method is proposed,which can be used to locate the angle of points on the object by mobile positioning device.Compared with the traditional angle positioning method,its precision is high.Multiple angle positioning can be completed in one turn.