引用本文: 罗长林, 张正禄, 梅文胜, 邓勇. 三维直角坐标转换的一种阻尼最小二乘稳健估计法[J]. 武汉大学学报 ( 信息科学版), 2007, 32(8): 707-710.
LUO Changlin, ZHANG Zhenglu, MEI Wensheng, DENG Yong. A Damped Least Square Robust Estimation Method for Spatial Three Dimensional Rectangular Coordinate Transformation[J]. Geomatics and Information Science of Wuhan University, 2007, 32(8): 707-710.
 Citation: LUO Changlin, ZHANG Zhenglu, MEI Wensheng, DENG Yong. A Damped Least Square Robust Estimation Method for Spatial Three Dimensional Rectangular Coordinate Transformation[J]. Geomatics and Information Science of Wuhan University, 2007, 32(8): 707-710.

## A Damped Least Square Robust Estimation Method for Spatial Three Dimensional Rectangular Coordinate Transformation

• 摘要: 提出了一种利用阻尼最小二乘原理进行三维直角坐标转换的方法,并在模型中加入了稳健估计进行粗差探测与剔除。该方法的特点是:不依赖7个坐标转换参数初值,计算收敛速度快,计算结果精确稳定可靠,不仅适合于小旋转角而且也适用于任意的大旋转角。通过模拟算例验证了该方法的正确性。

Abstract: A method using damped least square method for spatial three-dimensional rectangular coordinate transformation is put forward,and robust estimation method for gross error detection and elimination is introduced.This method,which is not only adapted to large rotation angle,but also adapted to small rotation angle,has many characteristics,such as relying less on the initial values of 7 transformational parameters,being able to resist errors from observation values,making the calculates results more accurate,etc..The simulated example proves its validity finally.

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