The scheme presented in this paper is based on non-subsampled Contourlet transform theory and pseudo-Zernike moments knowledge. It uses non-subsampled Contourlet transform to extract low frequency sub-band,and the digital watermark information is embedded into this sub-band by quantizing the magnitudes of the selected pseudo-Zernike moments. Non-subsampled Contourlet transform has good translation invariant and noise resistance, and pseudo-Zernike moments have good rotate invariant as well as the property of insensitive to noise,therefore to combine these two together is a quite good method to resist geometric attack. Experimental results also show that the proposed scheme is preferably transparent, moreover,it is robust against the common signals processing and is robust against usual geometric attacks as well.%方案以非下采样Contourlet变换及伪Zernike矩知识为基础,利用非下采样Contourlet变换提取出低频区域,在此区域采用量化调制伪Zernike矩的幅值将水印信息嵌入.由于非下采样Contourlet变化有很好的平移不变性和抗噪性,而伪Zernike矩具有旋转不变性,还具有对噪声不敏感的特性,两者结合是一个较好的抗几何攻击方法.仿真实验表明,该算法不仅具有较好的透明性,而且对常规信号处理和一般性几何攻均具有较好的鲁棒性.
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