Safety-Enhanced Dual-Watermarking Algorithm Based on Quaternion Radial Harmonic Fourier Moments and SVD

In this paper, a multifunctional color image watermarking system is proposed to achieve both tamper detection and copyright authentication. Most of the current research target grayscale images, which are less informative and easy to process compared to color images. And the fragile watermark algorithm proposed in this paper can achieve tamper detection for the three layers \(R,G,B\) under the condition that the amount of embedded watermark is one-third of the total number of pixels in the color image. Despite the small embedding volume, it can accurately locate different types of tampering with excellent imperceptibility. The image feature information is extracted using geometrically invariant moments Quadratic Radial harmonic Fourier moments (QRHFMs), which are combined with the copyright information watermarked image to obtain the zero watermark. Different from the traditional additive or multiplicative watermarking algorithms, the watermarking scheme proposed in this paper adds a diffusion step, which makes the security performance further improved. Besides, based on two traditional chaotic mappings and the Latin square rule, a three-dimensional hyperchaotic system 3D-IICM is proposed, which improves the security of the fragile watermark realization and the zero-watermark generation process. Experimental results show that the scheme has good security and robustness.