A Novel Image Watermarking Scheme Using LU Decomposition

Phuong Thi Nha, Ta Minh Thanh
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Abstract

In recent years, protecting copyright of digital images is an indispensable requirement for owners. To against with rapidly increasing of attacks, many techniques have been proposed in transform domain for ensuring quality of watermarked image, robustness of extracted watermark and execution time. Among these techniques, LU decomposition is considered as an outstanding technique in term of computation. However, it is that not all square matrices have an LU decomposition. Therefore, the suitable blocks need to be chosen before factorizing pixel matrices into lower and upper triangular matrix. In addition, in order to improve the invisibility of watermarked image, watermark should be embedded on one element of L matrix instead of two elements as the previous proposals. In this paper, we propose a novel image watermarking scheme which is based on strategy of LU blocks selection and an improved embedding method. Beside that, the extraction time is significantly sped up by a new solution to get out L(2,1) and L(3,1) elements of L matrix without performing LU decomposition in the extracting stage. According to the experimental results, our proposed method not only has the much better visual quality of watermarked images, but also can effectively extracts the watermark under some attacks.
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一种新的基于LU分解的图像水印方案
近年来,保护数字图像的版权是对版权所有人不可或缺的要求。针对快速增加的水印攻击,在变换域提出了许多保证水印图像质量、水印提取的鲁棒性和执行时间的技术。在这些技术中,逻辑单元分解被认为是计算能力较强的一种技术。然而,并不是所有的方阵都有LU分解。因此,在将像素矩阵分解为上下三角矩阵之前,需要选择合适的块。此外,为了提高水印图像的不可见性,水印应该嵌入到L矩阵的一个元素上,而不是像之前的建议那样嵌入到两个元素上。本文提出了一种基于LU块选择策略和改进嵌入方法的图像水印方案。此外,在提取阶段不进行LU分解,提取出L矩阵中的L(2,1)和L(3,1)个元素,显著加快了提取时间。实验结果表明,该方法不仅具有较好的水印图像视觉质量,而且在某些攻击下也能有效地提取水印。
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