In the recent past, a different set of algorithms for watermarking and securing the color images have been developed by using transformation, decomposition, and optimization techniques for watermark embedding and extraction. In this paper, we propose an optimized and robust watermarking algorithm coupled with a 4D hyperchaotic system, and its performance is analyzed by extending and differentiating the existing work. Our contribution in the presented work is watermarking and securing the color images by an optimized algorithm that uses transformation technique such as Discrete Wavelet Transformation (DWT) and decomposition techniques such as Hessenberg decomposition (HbD) and singular value decomposition (SVD) coupled with the 4D hyperchaotic system, while the optimization is carried out by improved evolution fruit fly optimization algorithm (IEFOA). The experimental results based on different types of attacks (filter attacks, noise attacks, cropping attack, JPEG compression, motion blur, sharpening, and rotation), key sensitivity, normalized correlation, peak signal-to-noise ratio, and structural similarity index measure are done for measuring the algorithm’s performance regarding invisibility and robustness. The experimental results show that the proposed scheme has excellent invisibility and keeps a good trade-off between invisibility and robustness. The experiment results show that the proposed approach outperforms the previous approaches.

中文翻译：

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基于改进的FOA算法的4D超混沌系统，DWT，HbD和SVD的鲁棒安全彩色图像水印

在最近的过去，已经通过使用用于水印嵌入和提取的变换，分解和优化技术，开发了用于水印和保护彩色图像的不同算法集。在本文中，我们提出了一种结合了4D超混沌系统的优化且鲁棒的水印算法，并通过扩展和区分现有工作来分析其性能。我们在提出的工作中的贡献是通过优化算法对彩色图像进行水印和保护，该算法使用诸如离散小波变换（DWT）之类的变换技术以及诸如Hessenberg分解（HbD）和奇异值分解（SVD）之类的分解技术以及4D技术超混沌系统 优化是通过改进的进化果蝇优化算法（IEFOA）进行的。基于不同类型的攻击（滤波器攻击，噪声攻击，裁剪攻击，JPEG压缩，运动模糊，锐化和旋转），关键灵敏度，归一化相关性，峰值信噪比和结构相似性指标度量的实验结果用于衡量算法在隐身性和鲁棒性方面的性能。实验结果表明，该方案具有很好的隐身性，并且在隐身性和鲁棒性之间保持了良好的折衷。实验结果表明，该方法优于以前的方法。锐化和旋转），关键敏感度，归一化相关性，峰值信噪比和结构相似性指标度量用于衡量算法在隐身性和鲁棒性方面的性能。实验结果表明，该方案具有很好的隐身性，并且在隐身性和鲁棒性之间保持了良好的折衷。实验结果表明，该方法优于以前的方法。锐化和旋转），关键敏感度，归一化相关性，峰值信噪比和结构相似性指标度量用于衡量算法在隐身性和鲁棒性方面的性能。实验结果表明，该方案具有良好的隐身性，并且在隐身性和鲁棒性之间保持了良好的折衷。实验结果表明，该方法优于以前的方法。