In recent years, digital image zero-watermarking algorithm has made great progress. But there are still some problems. First, most algorithms only focus on robustness and ignore discrimination. Second, most methods have good robustness against conventional signal attacks but poor robustness against geometric attacks. Thirdly, most of the existing zero-watermarking algorithms only focus on gray-scale images, and there are relatively few researches on color images. In order to cope with these issues, this paper introduces a novel color image zero-watermarking scheme using accurate quaternion generalized orthogonal Fourier–Mellin moments (AQGOFMMs). In the first stage of the proposed method, accurate computation of generalized orthogonal Fourier–Mellin moments (GOFMMs) based on the polar pixel tiling scheme. In the next stage, the high-precision GOFMMs are extended to the accurate quaternion GOFMMs (AQGOFMMs). Finally, the immutable set of features is extracted to construct a zero-watermark. It is worth mentioning that, different from the traditional way of constructing watermark with the amplitude of moments, this algorithm uses the full 4-D features of AQGOFMMs to construct watermark. The experiment proved that proposed zero-watermarking scheme gives a good balance between discriminability and robustness. Furthermore, the proposed algorithm achieves better performance than the other existing zero-watermarking.

近年来，数字图像零水印算法取得了长足的进步。但是仍然存在一些问题。首先，大多数算法只关注鲁棒性，而忽略区分。其次，大多数方法对常规信号攻击具有良好的鲁棒性，但对几何攻击的鲁棒性较差。第三，现有的零水印算法大多只针对灰度图像，对彩色图像的研究相对较少。为了解决这些问题，本文介绍了一种使用精确四元数广义正交傅里叶-梅林矩（AQGOFMM）的新型彩色图像零水印方案。在提出的方法的第一阶段，基于极性像素平铺方案精确计算广义正交傅里叶-梅林矩（GOFMM）。在下一阶段，高精度GOFMM扩展为精确的四元数GOFMM（AQGOFMM）。最后，提取不可变的特征集以构造零水印。值得一提的是，与传统的利用矩振幅构造水印的方法不同，该算法利用AQGOFMM的全4维特征构造水印。实验证明，提出的零水印方案在判别性和鲁棒性之间取得了良好的平衡。此外，所提出的算法比其他现有的零水印实现了更好的性能。与传统的利用矩幅构造水印的方法不同，该算法利用AQGOFMM的全4维特征构造水印。实验证明，提出的零水印方案在判别性和鲁棒性之间取得了良好的平衡。此外，所提出的算法比其他现有的零水印实现了更好的性能。与传统的利用矩幅构造水印的方法不同，该算法利用AQGOFMM的全4维特征构造水印。实验证明，提出的零水印方案在判别性和鲁棒性之间取得了良好的平衡。此外，所提出的算法比其他现有的零水印实现了更好的性能。