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<p>The properties of continuous orthogonal moments (COMs) play a critical role in the performance of COMs-based zero-hiding schemes. Building on a thorough analysis of radial harmonic Fourier moments (RHFMs), this paper introduces an improved RHFMs (ImRHFMs), which significantly enhances the performance of the original RHFMs. ImRHFMs are then extended to quaternion ImRHFMs (QImRHFMs), making them suitable for color image processing while maintaining excellent geometric invariance. Subsequently, a robust zero-hiding scheme for lossless copyright protection of color images is proposed, based on QImRHFMs and the modified Henon map. The amplitudes of QImRHFMs are employed to generate the feature image, which bolsters resistance against geometric attacks. Additionally, chaotic encryption of the watermark and feature images, using the modified Henon map, further enhances the scheme’s security. Experimental results demonstrate that the proposed scheme effectively resists both common and geometric attacks, outperforming quaternion RHFMs (QRHFMs)-based zero-hiding schemes and other state-of-the-art methods.</p>

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Color Image Robust Zero-Hiding Based on Quaternion Improved Radial Harmonic Fourier Moments

  • 期刊论文

  • 发表日期：

    2025年5月7日

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  • Weijiang Ye,
  • Jinghua Si,
  • Xiaoxiao Li,
  • Zhaofeng Chen,
  • Zhiqiu Xia,
  • Qi Li,
  • Chunpeng Wang

摘要

The properties of continuous orthogonal moments (COMs) play a critical role in the performance of COMs-based zero-hiding schemes. Building on a thorough analysis of radial harmonic Fourier moments (RHFMs), this paper introduces an improved RHFMs (ImRHFMs), which significantly enhances the performance of the original RHFMs. ImRHFMs are then extended to quaternion ImRHFMs (QImRHFMs), making them suitable for color image processing while maintaining excellent geometric invariance. Subsequently, a robust zero-hiding scheme for lossless copyright protection of color images is proposed, based on QImRHFMs and the modified Henon map. The amplitudes of QImRHFMs are employed to generate the feature image, which bolsters resistance against geometric attacks. Additionally, chaotic encryption of the watermark and feature images, using the modified Henon map, further enhances the scheme’s security. Experimental results demonstrate that the proposed scheme effectively resists both common and geometric attacks, outperforming quaternion RHFMs (QRHFMs)-based zero-hiding schemes and other state-of-the-art methods.