In this work, we propose a new substitution scheme for color images watermarking based on the Fourier transform. This scheme will be declined into two variants in which the image will be divided into three components R, G and B, and then to each component a transform is applied. The parity of the resulting coefficients will then be combined to hide the watermark in the medium frequency band. In our experiments several variants of the Fourier transform are used (Discrete Fourier Transform, a Fractional Fourier Transform as well as a Quaternion Discrete Fourier Transform). For each transform, both variants of our watermarking scheme are applied. The obtained results show that our approach offers good imperceptibility and generates watermarking images robust against various attacks with a high-quality watermark.

在这项工作中，我们提出了一种新的基于傅立叶变换的彩色图像水印替换方案。该方案将被分为两个变体，其中图像将被分为三个分量R，G和B，然后对每个分量进行变换。然后，将组合所得系数的奇偶校验位，以在中频频段中隐藏水印。在我们的实验中，使用了傅立叶变换的几种变体（离散傅立叶变换，分数阶傅立叶变换以及四元数离散傅立叶变换）。对于每个变换，都应用了我们的水印方案的两个变体。所获得的结果表明，我们的方法具有良好的不可察觉性，并且可以针对具有高质量水印的各种攻击生成鲁棒的水印图像。