Robust color image watermarking using multiple fractional-order moments and chaotic map

Abstract Robust watermarking is an effective method and a promising solution for securing protecting the copyright of digital images. Moments moment invariants have become popular tools robust due to their geometric invariance favorable capability image description. Many moments-based schemes been proposed. However, there challenging problem these that should be addressed. One problems improve both imperceptibility robustness. In contrast, other problem, most used inefficient, traditional computation methods moments, resulting in inaccurate inefficient performance schemes. To overcome challenges, this paper, we propose novel color image-watermarking algorithm based on new multiple fractional multi-channel orthogonal fractional-order exponent moments (MFrEMs), polar harmonic transforms (MFrPHTs), radial Fourier (MFrRHFMs). Firstly, highly accurate are computed host Then, more stable coefficients selected. Finally, approach watermarks images proposed MFrEMs, MFrPHTs, MFrRHFMs using 1D Sine chaotic map. The experimental results demonstrate provides robustness against various attacks better than existing methods.