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本文的参数化方法考虑不完全依赖数据分布的基函数的构造方法。借助泛函极小问题与样条插值问题的密切联系,得到了样条函数形式的参数化方法,即样条插值模型。样条插值模型是著名的Backus-Gilbert模型在球面情形的推广。
The parameterization method in this paper considers the construction method of basis functions that do not completely depend on data distribution. With the help of the close connection between the minimal functional problems and the spline interpolation problem, the parametric method of spline function is obtained, namely the spline interpolation model. The spline interpolation model is a well-known extension of the Backus-Gilbert model in the spherical case.