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Digital watermarking: An approach based on Hilbert transform

机译:数字水印:一种基于希尔伯特变换的方法

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Most of the well known algorithms for watermarking of digital images involve transformation of the image data to Fourier or singular vector space. In this paper, we introduce watermarking in Hilbert transform domain for digital media. Hilbert transform provides an analytic representation of a signal in terms of a phase and amplitude function. In this work, we apply one-dimensional Hilbert transform on each of the vectors that define an image and embed the watermark in its phase. Based on this idea, we propose an algorithm for embedding and extracting watermark in a host image and analytically obtain a parameter related to this procedure. Using extensive simulations, we show that the algorithm performs well even if the host image is corrupted by various attacks.
机译:用于数字图像加水印的大多数众所周知的算法都涉及将图像数据转换为傅立叶或奇异向量空间。在本文中,我们介绍了数字媒体的希尔伯特变换域中的水印。希尔伯特变换根据相位和幅度函数提供了信号的解析表示。在这项工作中,我们对定义图像并将水印嵌入其相位的每个向量应用一维希尔伯特变换。基于此思想,我们提出了一种在宿主图像中嵌入和提取水印的算法,并通过解析获得与此过程相关的参数。通过广泛的仿真,我们证明了即使主机图像因各种攻击而损坏,该算法也能正常运行。

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