航空重力数据向下延拓的迭代Tikhonov正则化法  

Downward Continuation of Airborne Gravity Measurement Data Based on Iterative Tikhonov Regularization Method

作　　者：冯淑萍 高延民 

机构地区：[1]西安测绘总站,陕西西安710054

出　　处：《地理空间信息》2016年第10期53-55,5,共3页Geospatial Information

基　　金：国家自然科学基金资助项目(41304022);国家重点基础研究发展计划资助项目(61322201;2013CB733303);高分专项青年创新基金资助项目(GFZX04060103-5-12)

摘　　要：根据观测面和延拓面测量数据的Poisson积分平面近似关系,结合快速傅立叶变换算法,将向下延拓转换到频率域进行计算,并采用迭代Tikhonov正则化方法,克服计算的不稳定性,提高计算结果的精度,实现了航空重力测量数据的向下延拓。最后采用模拟航空重力测量数据验证了该算法的有效性,取得了较好的延拓结果。According to the approximation relation of the observation surface and the Poisson integral plane of extension surface measurement data, combining with fast Fourier transform algorithm, this paper converted the downward continuation into the frequency domain to calculation. In order to overcome the numerical instability and further improve the accuracy of calculation, the paper used iterative Tikhonov regularization method to realize the downward continuation of airborne gravity measurement data. Finally, the paper used the simulation of airborne gravity measurement data to verify the validity of the regularization algorithm.

关 键 词：航空重力 向下延拓 正则化参数 迭代Tikhonov正则化法 快速傅立叶变换 

分 类 号：P223[天文地球—大地测量学与测量工程]