基于最小二乘配置的九参数模型在三维坐标转换中的应用

Applying Nine-Parameter Model Based on Least Squares Collocation to Three-Dimensional Coordinate Transformation

运用传统的布尔莎七参数法进行三维坐标转换时,并未考虑到两坐标系统的公共点坐标误差及三个坐标轴缩放比例不均的问题。引入最小二乘配置法,将公共点误差作为随机信号处理,并增加两个尺度参数解决坐标轴缩放比例不均的问题;推导出基于最小二乘配置的九参数模型及其误差方程,通过实验对比分析表明,该方法可以有效地提高坐标转换精度。

When traditional Bursa seven - parameter method used for three - dimensional coordinate transformation, coordinate error of common points in the two coordinate systems and problem of three axes scaling uneven are not taken into account. Least squares collo-cation method is introduced, the common point error is processed as a kind of random signal, and two increased scale parameters are taken to solve the problem of the axis scaling uneven ; nine - parameter model based on least squares collocation and its error equation are deduced. By analyzing the experiment results, it shows that this method can effectively improve the accuracy of coordinate transfor-mation.