In this paper, the ill-posedness of Derivative Interpolation is discussed and a regularized Partial Derivative Interpolation for band-limited signals is presented in the two dimensional case. The convergence of the regularized Derivative Interpolation is studied and compared with Derivative Interpolation using the Shannon sampling theorem.

中文翻译：

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二维带限函数的正则化导数插值

本文讨论了微分插值的不适定性，并在二维情况下给出了带限信号的正则化偏微分插值。研究了正则化导数插值的收敛性，并使用香农采样定理将其与导数插值进行了比较。