长球波函数外推法及其应用-(Ⅰ)

PSWF and Its Application

用求积分方程特征值方法求出长球波函数 ,再进行外推 ,重建出由于缺角度而引起数据不完全时的图象 ,避开了反演中的求Radon反变换问题 .通过模型验证 ,在角度缺少较大的情况下所建立的算法在效率、精度。

This paper solved PSWF through the method of solving eigenvalue problem of integral equation. Then extrapolated it by use of PSWF, and finally reconstructed the graph which once was incomplete data caused by lack of angle. It's successful to avoid the ill posed problem. The result shows the algorithm built by the author, when more angle was lack, has gotten a satisfied result on effectiveness, accuracy ,stability and so on.