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利用航空测量数据向下延拓得到不同高度的位场数据可以提高测量成果的综合利用率。Landweber迭代法是一种有效解决位场向下延拓的实用方法。鉴于Landweber迭代法的收敛速度比较慢,提出采用加速Landweber迭代法,推导得到两种迭代法对应的波数域算子并通过仿真分析算子的滤波特性,最后结合模型实例验证了所提出的加速Landweber迭代法不仅能有效进行位场向下延拓,而且比Landweber迭代法更高效。
The use of aeronautical survey data to extend down to obtain different height of the field data can improve the comprehensive utilization of measurement results. Landweber iterative method is an effective method to solve the downward extension of the field. In view of the relatively slow convergence rate of Landweber iteration method, the accelerated Landweber iteration method is proposed and the wave number domain operators corresponding to the two iterative methods are deduced. The filter characteristics of the operator are analyzed by simulation. Finally, the proposed model of Landweber acceleration The iterative method can not only effectively extend the field downward, but also is more efficient than the Landweber iteration method.