中文摘要：

结合脉冲耦合神经网络与粗集理论，提出了一种空频域结合的二重水印算法，用于生物细胞图像的版权保护。首先在小波变换域中用粗集理论的方法找出水印嵌入位置，嵌入第一重水印信息，在此基础上，找出图像空间域中纹理复杂区域再次嵌入水印；然后讨论了水印的提取方法；最后进行了鲁棒性检测。仿真表明，该算法具有较强的不可见性和较好的鲁棒性，能准确地提取出水印信息，可以有效地对生物细胞图像进行版权保护。

英文摘要：

Combining pulse coupled neural network （ PCNN ） and rough set theory can get good achievements in digital image processing because of PCNN＇ s biology background and rough set theory＇ s excellent ability to categorize difference things. After giving the analysis of the need for biological cell images to be copyright protected, presented a new spatial-frequency-domain-based double watermarking algorithm. Firstly, used the method of rough set theory to find the location suitable for watermarking in the wavelet transform domain, and embedded the first watermarking. Then, found the regions full of textures in the spatial domain of the image with the first watermarking embedded, to embed the second watermarking. Secondly, gave a brief discussion on the watermarking extraction. Finally, also presented the robustness detection. Experimental results indicate that the algorithm has good invisibility and strong robustness. It is a feasible and effective digital image watermarking algorithm.