摘要
本文首先建立了Poisson积分迭代法数学模型，在将航空重力测量数据向下廷拓时引入了改进的Poisson积分离散化公式，并在此基础上研究了Tikhonov双参数正则化向下延拓算法。仿真实验结果表明，相对于传统的Poisson积分离散化公式的延拓结果，基于改进的Poisson积分离散化公式的最小二乘法延拓结果精度提高了约10．8mGal，Pois—son积分迭代法延拓结果的精度与其相当；而在此基础上的正则化法延拓结果，精度则进一步提高了约1．7mGal。因此，本文的研究成果可直接应用于我国航空重力标量和矢量测量数据的处理中。
In this paper, the numerical model of Poisson integral iteration method is deduced, and an improved Poisson in- tegral discretization formula is introduced in the downward continuation of airborne gravimerty data. The Tikhonov two-parameter regularization algorithm is also studied. Compared with traditional formula, the continuation result of least squares （LS） method based on improved Poisson integral discretization formula is improved by 11.4mGal, and the precision of Poisson integral iteration method is equivalent to that of LS method. Based on the improved Poisson integral discretization formula, the result of Tikhonov two-parameter regularization algorithm is improved further by 1.7mGal. Therefore, the research achievements in this paper can be applied directly in the data processing of our country＇s airborne scalar and vector gravimetry.
出处
《测绘科学与工程》
2017年第1期5-9,17,共6页
Geomatics Science and Engineering
基金
基金项目：国家自然科学基金资助项目（41304022,41504018,41404020）,大地测量与地球动力学国家重点实验室开放基金资助项目（SKLGED2017-1-1-E）,国家973计划资助项目（61322201,2013CB733303）,信息工程大学测绘导航工程重点实验室开放基金资助项目.
