首先，本文提出了基于距离分布直方图的商标图像检索方法。

Firstly, this paper presents the trademark image retrieval method based on distance distribution histogram.

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首先，本文提出了基于距离分布信息熵的商标图像检索方法。

Firstly, this paper presents the trademark image retrieval method based on distance distribution information entropy.

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最后，本文提出了基于区域方向信息熵的商标图像检索方法。

Lastly, this paper presents the trademark image retrieval method based on region orientation information entropy.

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