Abstract
Polar harmonic Fourier moments (PHFMs) are very effective global image descriptors and can be used in many areas of digital image processing. However, the numerical integration error of traditional computation methods significantly affects its computation accuracy. This paper proposed an accurate PHFMs computation method based on Gaussian numerical integration (GNI), which effectively mitigated the numerical integration error, and proposed a novel watermarking algorithm resistant to geometric attacks based on accurate PHFMs and chaotic mapping. This algorithm improves its robustness against geometric attacks by relying on the geometric invariance of accurate PHFMs and scrambles the watermark image by relying on the sensitivity of the Tent chaotic system to the initial value, enhancing its security. The experimental results show that the proposed algorithm can effectively resist geometric attacks, such as scaling, rotation, length-width ratio change and flipping, and is superior to other watermarking algorithms.
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