基于归一化和Bessel-Fourier矩的鲁棒水印算法

摘要

A-new-robust-watermarking-scheme-based-on-normalization-and-Bessel-Fourier-moment-is-proposed-to-enhance-the-capability-of-watermark-against-geometric-attacks.-Firstly,-the-original-image-is-normalized,-and-the-Bessel-Fourier-moment-of-this-image-is-Rotation,-Scaling-and-Translation(RST)-invariant.-Then-watermark-is-added-to-the-spatial-domain-intensity-of-image-using-Bessel-Fourier-polynomial,-and-the-embedding-strength-is-controlled-by-an-modifying-and-verifying-program-for-iterative-characteristics,-avoiding-bring-error-into-the-process-of-watermark-embedding-and-detection.-Large-quantities-of-experimental-results-show-that-the-proposed-scheme-is-robust-against-the-geometric-attacks-as-well-as-common-image-processing.%为了增强水印的抗几何攻击能力，提出了一种基于归一化和 Bessel-Fourier 矩的鲁棒水印算法。首先对图像进行归一化，使图像的 Bessel-Fourier 矩具有旋转、缩放和平移(RST)不变性；然后通过使用 Bessel-Fourier 多项式直接将水印添加到图像的空域强度中，嵌入强度由一个迭代特征修改和验证程序控制，可以避免在水印嵌入和检测过程中引入错误。大量的实验结果表明，本文提出的水印算法对几何攻击以及一般的信号处理具有很好的鲁棒性。