总之，在元组元素的运算上几乎同态问题比同态问题更复杂些，并且它扩充了范畴数据类型变换的应用范围。

In brief, almost-homomorphism is more difficult than homomorphism on the operation of the elements of tuple, and it extends the application area of CDT translation.

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利用自开发软件，对图像进行灰度变换和直方图均衡化处理后，采用频域同态滤波的方法对图像进行降噪滤波处理。

After the gray transformation and the histogram equalization, these images were filtered by a frequency-domain homomorphic filter, hence noises in the images were greatly reduced.

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根据子波振幅谱估算最小相位子波已有多种方法，本文对用希尔伯特变换法、同态法、零相位子波法、松弛迭代法等估算的最小相位子波，进行了详细的分析。

Among the methods for estimating the minimum phase wavelet from its amplitude spectrum, methods of Hilbert-transform, of homomorphy, of zero-phase wavelet and of relaxation-iteration are analysed.

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