Abstract: If observed image degraded by two kinds of blur simultaneously，the degraded function of whole degradation process is difficult to ascertain.And the blind image restoration which usually applied on the problem has unconquerable limitation.So here propose a method that implementing layered restoration based on image interpolation and image analysis.The method improves the analysis ability of low resolution image through image interpolation.After analyzing and pretreating image，choose the perfect parameters combination of the two degradation functions mutually under the optimization rule.With the two degradation functions known，the layered restoration can be implemented.The satisfying image restoration results are gained by means of computer simulation.

Key words: restoration of two kinds of blur, image interpolation, degradation function, layered restoration

摘要： 如果观测图像同时受到两种模糊的影响而退化，则作用于图像整个退化过程的降质函数难以确定，而适用于降质函数未知的盲目去卷积等方法有其局限性。针对这种双重模糊情况，提出一种基于插值分析的分层复原方法，该方法首先对图像进行插值，以提高对低分辨率图像退化机理的分析能力，并在分析的基础上进行图像预处理。然后在图像复原的优化准则下，交互地选择出降质模型的最优参数组合，以得到两个降质函数，最后对原图像实施分层复原。通过实验分析，该方法的复原结果比较理想。

关键词: 双重模糊复原, 图像插值, 降质函数, 分层复原