A ring Re, (M) iff each nonzero homomorphic image of R either contains a nonzero M-ideal or has an essential ideal.

一个环R∈（M）当且仅当R的每一个非零同态象或者包含一个非零M理想或者有本质理想。

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The method of the fusion with the original image is presented on the basis of homomorphic filter, and realized it.

在同态滤波的基础上提出并完成了融合的去云的方法，并完成了方法实现。

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Image preprocessing: the image is processed by several algorithms including gray level stretch, homomorphic processing and image smoothing, and then the quality of image gets better.

图像预处理：采用灰度变换、同态滤波和平滑等方法对图像进行处理，提高了图像的质量。

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