摘要
提出将广义岭估计用于求解航空重力向下延拓病态问题。研究求解逆Poisson积分问题的三种正则化方法:Tikhonov正则化、岭估计和广义岭估计。利用EGM2008地球位模型设计模拟数值实验,将飞行高度处含白噪声的2.5′×2.5′重力扰动向下延拓至大地水准面上,与参考值作外部检验,全面检验、比较各向下延拓方法的可靠性、精度和稳定性。数值结果表明基于多个最优正则化参数的广义岭估计在延拓精度、稳定性和抗差性等方面表现良好。
Generalized ridge estimate is suggested for solving the ill-posed problem in downward continuation （DWC） of airborne gravity. Three regularization methods are studied to solve the inverse Poisson problem, which areTikhonov regularization, ridge estimate and generalized ridge estimate. By conducting a simulated numerical experiment designed based on EGM2008 Earth gravitational model, the 2.5＇× 2.5＇gravity disturbances with white noise at the flight levels are downward continued to theGeoid. The accuracy and stability of the DWC methods are tested and compared. The numerical results show that, in terms of continued accuracy, stability and robustness,the generalized ridge estimate based on multiple optimal regularization parameters performs significantly welt.
出处
《测绘学报》
EI
CSCD
北大核心
2011年第6期684-689,共6页
Acta Geodaetica et Cartographica Sinica
基金
国家自然科学基金(40637034
41074014
40804003
40904003)
地球空间环境与大地测量教育部重点实验室测绘基础研究基金(10-02-14)
关键词
航空重力
向下延拓
病态问题
正则化
airborne gravity
downward continuation
ill-posed problem
regularization
