引用本文: 顾勇为, 归庆明, 韩松辉, 王靳辉. 航空重力向下延拓分组修正的正则化解法[J]. 武汉大学学报 ( 信息科学版), 2013, 38(6): 720-724.
GU Yongwei, GUI Qingming, HAN Songhui, WANG Jinhui. Regularization by Grouping Correction in Downward Continuation of Airborne Gravity[J]. Geomatics and Information Science of Wuhan University, 2013, 38(6): 720-724.
 Citation: GU Yongwei, GUI Qingming, HAN Songhui, WANG Jinhui. Regularization by Grouping Correction in Downward Continuation of Airborne Gravity[J]. Geomatics and Information Science of Wuhan University, 2013, 38(6): 720-724.

## Regularization by Grouping Correction in Downward Continuation of Airborne Gravity

• 摘要: 在航空重力向下延拓中,针对病态性对解算结果各个部分影响的不同进行分组修正,提出了分组修正的正则化解法。利用信噪比评估病态性影响,得到将参数分组的方式;依分组修正思想构造正则化矩阵;通过极小化均方误差选取正则化参数。基于EGM2008重力场模型仿真一组航空重力数据,验证了该方法对航空重力数据向下延拓过程的有效性,并与另外3种方法作比较。结果表明,新方法具有更高的精度。

Abstract: During downward continuation of airborne gravity,ill-condition causes different effects to different parameters.In order to eliminate or alleviate the effects to an appropriate level,we put forward a new algorithm named regularization by grouping correction.Using the signal-to-noise ratio to assess the ill-condition effects,parameters are grouped.Regularization matrix is constructed by grouping amendment idea.Regularization parameter is selected by minimizing the mean square error.Using the simulative airborne gravity data based on the EGM2008 as true values of the gravity field,the effectiveness of the method is verified.Comparing with three other methods,the new method has higher accuracy.

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